3 square root y to the second power

Answers

Answer 1

The expression for the given statement is √3².

We have,

The expression that can be written from the statement.

3 square root = √3

Second power of x = x²

Now,

We can write the expression as,
= √3²

Thus,

The expression for the given statement is √3².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1


Related Questions

The total weight of a shipping crate is modeled by the function c = 24b + 30, * where c is the total weight of the crate with b boxes packed inside the crate. If each crate holds a maximum of 6 boxes, then what are the domain and range of the function for this situation?

Answers

The domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

Understanding Domain of a Function

The function that models the total weight of a crate with b boxes inside is given as:

c = 24b + 30

We know that each crate can hold a maximum of 6 boxes. Therefore, the number of boxes inside the crate can only take values from 0 to 6.

Domain:

The number of boxes b can take values from 0 to 6. Therefore, the domain of the function is:

0 ≤ b ≤ 6

Range:

To find the range of the function, we need to consider the maximum and minimum values that c can take when

0 ≤ b ≤ 6.

When b = 0, the crate is empty, and the total weight of the crate is:

c = 24(0) + 30 = 30.

When b = 6, the crate is full with 6 boxes, and the total weight of the crate is:

c = 24(6) + 30 = 174.

Therefore, the range of the function is:

30 ≤ c ≤ 174

We can then say the domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

Learn more about domain here:

https://brainly.com/question/26098895

#SPJ1

helpppp me please hurehshsh

Answers

Answer:

m∠W = 45°

Step-by-step explanation:

When both legs of a right triangle are congruent, we know that it is an isosceles right triangle because of the isosceles triangle theorem.

Therefore, we can identify W as:

m∠W = (180 - 90)° / 2

m∠W = 45°

Note: We get the / 2 from the fact that both non-right angles are congruent; therefore, they are half of the remaining angle measures after subtracting the right angle (90°) from the total of a triangle (180°).

Aiden gave each member of his family a playlist of random songs to listen to and asked them to rate each song between 0 and 10. He compared his family’s ratings with the release year of each song and created the following scatterplot:
What would the linear equation be?

Answers

The linear equation in slope intercept form is:

y = -0.1x + 9

What is the Linear Equation from the Scatter Plot?

The formula for finding the Linear Equation in slope intercept form is expressed in the form:

y = mx + c

where:

m refers to the slope

c refers to the y-intercept

Looking at the given graph, we can see that:

The y-intercept = 9

The y-intercept is the point where the line crosses the y-axis while x-intercept is the point where the line crosses the x-axis.

Taking the two coordinates:

(1970, 7) and (1990, 5)

Slope:

m = (5 - 7)/(1990 - 1970)

m = -2/20

m = -0.1

Thus, the Equation in slope intercept form is expressed in the form of:

y = -0.1x + 9

Read more about Linear Equation at: https://brainly.com/question/28732353

#SPJ1

The radius of a circle measures 7 inches. A central angle of the circle measuring 4π15 radians cuts off a sector.




What is the area of the sector?




Enter your answer, as a simplified fraction

Answers

The area of sector is 14π/3 square inches for a circle having a radius of 7 inches and measures an angle of 4π/15 radians.

Radius of circle =  7 inches

Angle of circle =  4π/15 radians

The area of a sector of a circle can be calculated by using the formula:

A = (θ/2) × [tex]r^2[/tex]

A =  The area of the sector

θ = central angle in radians

r = radius of the circle.

Substituting the given values in the formula:

Area = (θ/2) × [tex]r^2[/tex]

Area = (4π/15 × 1/2) × [tex]7^2[/tex]

Area= (2π/15) × 49

Area = 14π/3

Therefore, we can conclude that the area of the sector is 14π/3 square inches.

To learn more about the Area of the Sector

https://brainly.com/question/1582027

#SPJ4

Which statement about the function is true? the function is increasing for all real values of x where x < –4. the function is increasing for all real values of x where –6 < x < –2. the function is decreasing for all real values of x where x < –6 and where x > –2. the function is decreasing for all real values of x where x < –4.

Answers

The function is increasing for all real values of x where x < –4.

How does the function behave for different values of x?

The statement that is true about the function is: "The function is decreasing for all real values of x where x < -4."

In order to determine the behavior of the function, we look at the given options. Among the options, the only statement that aligns with the function being decreasing is the one that states the function is decreasing for all real values of x where x < -4.

If a function is decreasing, it means that as the value of x decreases, the value of the function also decreases. In this case, it indicates that as x becomes more negative, the function's values decrease.

Therefore, the statement that correctly describes the behavior of the function is that it is decreasing for all real values of x where x < -4.

Learn more about function

brainly.com/question/21145944

#SPJ11

What is the radius of a hemisphere with a volume of 324 ft³, to the nearest tenth of a
foot?
SOND

Answers

Answer:the radius of the hemisphere with a volume of 324 ft³ is approximately 6.3 feet (to the nearest tenth).

Step-by-step explanation:

The formula for the volume of a hemisphere is:

V = (2/3) × π × r³, where V is the volume and r is the radius of the hemisphere.

We have been given the volume of the hemisphere as 324 ft³, so we can substitute this into the formula:324 = (2/3) × π × r³

To find the radius r, we need to solve for it. Dividing both sides by (2/3) × π gives:r³ = (324 / ((2/3) × π))r³ = (324 × 3) / (2 × π)r³ = 486 / π

Taking the cube root of both sides gives:r = (486 / π)^(1/3)

Using a calculator to evaluate this expression, we get:r ≈ 6.3

Give your answer accurate to 3 decimal places.
Claire starts at point A and runs east at a rate of 12 ft/sec. One minute later, Anna starts at A and runs north at a rate of 7 ft/sec. At what rate (in feet per second) is the distance between them changing after another minute?
______ft/sec

Answers

Solving for dz/dt, we get:

dz/dt ≈ 11.650 ft/sec.

So, after another minute, the distance between Claire and Anna is changing at a rate of approximately 11.650 ft/sec.

Hi there! To answer this question, we can use the Pythagorean theorem and implicit differentiation. Let x be the distance Claire runs east and y be the distance Anna runs north. After 1 minute, Claire has already run 12 * 60 = 720 ft. After another minute, x = 720 + 12t, and y = 7t.

Now, we can set up the Pythagorean theorem: x^2 + y^2 = z^2, where z is the distance between them. Substituting the expressions for x and y, we get (720 + 12t)^2 + (7t)^2 = z^2.

To find the rate at which the distance between them is changing (dz/dt), we need to differentiate both sides of the equation with respect to time, t:

2(720 + 12t)(12) + 2(7t)(7) = 2z(dz/dt).

Now, we can plug in the values for t = 2 minutes:

2(720 + 24)(12) + 2(14)(7) = 2z(dz/dt).

Simplifying, we get:

34560 + 392 = 2z(dz/dt).

After 2 minutes, Claire has run 12(120) = 1440 ft, and Anna has run 7(60) = 420 ft. Using the Pythagorean theorem, we can find z:

z = √(1440^2 + 420^2) ≈ 1500 ft.

Now we can find dz/dt:

34952 = 2(1500)(dz/dt).

Learn more about Pythagorean theorem here:

https://brainly.com/question/31142122

#SPJ11

Heights for 16-year-old boys are normally distributed with a mean of 68. 3 in. And a


standard deviation of 2. 9 in.


Find the z-score associated with the 96th percentile.


Find the height of a 16-year-old boy in the 96th percentile.

Answers

The height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches. The z-score associated with the 96th percentile is 1.75.



To find the z-score associated with the 96th percentile, we can use the following steps:

1. Locate the percentile in a standard normal distribution table or use a calculator that can compute percentiles (e.g., a graphing calculator or an online calculator).

2. For the 96th percentile, we find the corresponding z-score. Using a standard normal distribution table or an online calculator, the z-score is approximately 1.75.

So, the z-score associated with the 96th percentile is 1.75.

To find the height of a 16-year-old boy in the 96th percentile, we can use the following formula:

Height = mean + (z-score × standard deviation)

Here, the mean height is 68.3 inches, the z-score is 1.75, and the standard deviation is 2.9 inches. Plugging these values into the formula:

Height = 68.3 + (1.75 × 2.9) ≈ 68.3 + 5.075 ≈ 73.375 inches

So, the height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches.

Learn more about "normal distribution": https://brainly.com/question/4079902

#SPJ11

White shapes are black shapes are used in a game.
Some of the shapes are circles.
All the other shapes are squares.
The ratio of the number of white shapes to the number of black shapes is 7:3
The ratio of the number of white circles to the number of white squares is 2:7
The ratio of the number of black circles to the number of black squares is 1:2

Work out what fraction of all the shapes are circles.
Give your answer as a fraction in its simplest form.

Answers

23/90.


——
White Circles 2:7 has a sum of 9.
2:7 = 2/7, where the 2 is circles.
2/9 = the ratio or amount of white circles of all white shapes.

Black Circles 1:2 has a sum of 3.
1:2 = 1/2, where the 1 is circles.
1/3 = the ratio or amount of black circles of all black shapes.


Now, back to the ratio of white to black shapes 7:3. Sum: 7+3=10 shapes.
7/10, where the 7 is white and 10 is black.

Multiply the total shapes by the circle ratios:
The total number of white circles of all the shapes is (2/9) x (7/10).
This simplifies to 2*7 / 9*10 = 14/90 (don’t simplify yet).

The total number of black circles of all the shapes is (1/3) x (3/10).
This simplifies to
1*3 / 3*10 = 3/30 (don’t simplify, instead multiply by 3 for the common denominator 90). (3/30) x 3 = 9/90.

Now we have 2 fractions; one for the white circles and black circles, respectively.

Add them together: 9/90 + 14/90 = 23/90.
This doesn’t simplify further, so the fraction of the shapes that is circles = 23/90.

Sorry if the photo is sideways, can someone please help me

Answers

The length of AB is approximately 12.704 units.

How to find the length?

To solve this problem, we can use trigonometry and the fact that the easel forms a 30° angle to find the length of AB.

According to given information:

We know that RC is 22, and that angle R is 30°. Let's use the trigonometric function tangent to find AB:

tan(30°) = AB / RC

We can rearrange this equation to solve for AB:

AB = tan(30°) * RC

Using a calculator or trigonometric table, we find that tan(30°) = 0.5774 (rounded to four decimal places). Therefore:

AB = 0.5774 * 22

AB ≈ 12.704

So the length of AB is approximately 12.704 units.

to know more about function visit:

brainly.com/question/12431044

#SPJ1

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
A.
g(7) = -1
B.
g(0) = 2
C.
g(-13) = 20
D.
g(-4) = -11

Answers

The option that can be true for the function g(x) is C; g(-13) = 20

Which statement could be true?

Here we know that the function g(x) has:

The domain ---> -20 ≤ x ≤ 5

The range --->  -5 ≤ g(x) ≤ 45

And g(0) = -2

       g(-9) = 6

There are two statements that could be true:

g(-13) = 20, because -13 belongs to the domain and 20 belongs to the range.

g(0) = 2  could also be true.

Now, we can see that g(-9) > g(0), then as x becomes smaller, g increases, then the option that seems to be correct is g(-13) = 20

Learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

Proctor & Gamble claims that at least half the bars of Ivory soap they produce are 99. 44% pure (or more pure) as advertised. Unilever, one of Proctor & Gamble's competitors, wishes to put this claim to the test. They sample the purity of 146 bars of Ivory soap. They find that 70 of them meet the 99. 44% purity advertised.



What type of test should be run?


t-test of a mean


z-test of a proportion




The alternative hypothesis indicates a


right-tailed test


two-tailed test


left-tailed test




Calculate the p-value.



Does Unilever have sufficient evidence to reject Proctor & Gamble's claim?


No


Yes

Answers

The test that should be run on the claim by Proctor & Gamble should be B. z-test of a proportion.

The alternative hypothesis indicates a c. left-tailed test.

The p - value is 0.2665. Unilever does not have sufficient evidence to reject Proctor & Gamble's claim, so A. no.

How to test the claim ?

Conducting a z-test of a proportion is necessary in light of the proportion-based nature (at least half of the bars being 99.44% pure) of the inquiry, instead of means. Proctor & Gamble had asserted that over fifty percent of their bars exhibit 99.44% purity or better; Unilever wishes to investigate this assertion's accuracy.

Consequently, we run our test under null-hypothesis framework that considers fifty percent of bars possessing sufficient purity level and alternative hypothesis positing <50% do. The resultant course of action entails carrying out a left-tailed test.

The p - value. Find the test statistic:

z = ( 0. 4795 - 0.5) / √ ( ( 0.5 x (1 - 0.5) ) / 146)

z = - 0. 6236

z- table shows the p - value is 0. 2665 as a result.

With the p - value being higher than the normal significant level of 0. 05, Unilever should not reject Proctor & Gamble's claim.

Find out more on alternate hypothesis at https://brainly.com/question/29690266

#SPJ1

3. Let ya if (x,y) + (0,0) f(x,y) = x2 + y 0 if x=y=0. lim f(x,y) exist? Verify your claim. (x,y)+(0,0) (a) Does

Answers

Since the function approaches the same value (0) along both paths, we can claim that the limit lim(x,y)→(0,0) f(x,y) exists and is equal to 0.

Your question is asking whether the limit of the function f(x,y) exists at the point (0,0). The function f(x,y) is defined as:
f(x,y) = x^2 + y if (x,y) ≠ (0,0)
f(x,y) = 0 if x = y = 0
To verify whether the limit exists, we need to check if the function approaches a unique value as (x,y) approaches (0,0). In other words, we need to determine if lim(x,y)→(0,0) f(x,y) exists.
To verify this claim, consider the function along different paths towards (0,0). Let's examine two paths:
1) x = 0: As x approaches 0, f(0,y) = y, and the limit becomes lim(y→0) y = 0.
2) y = x: As y approaches 0 along this path, f(x,x) = x^2 + x, and the limit becomes lim(x→0) (x^2 + x) = 0.

Since the function approaches the same value (0) along both paths, we can claim that the limit lim(x,y)→(0,0) f(x,y) exists and is equal to 0.

Learn more about limit Visit: brainly.com/question/282767

#SPJ11

Determine whether y=3x^2 - 12x + 1 has a minimum or a maximum value. Then find the value

Answers

Answer:

Minimum

-11

Step-by-step explanation:

Main concepts:

Concept 1: Identify the type of equation

Concept 2: Identify the concavity (opens up/down)

Concept 3: Finding a vertex of a parabola

Concept 1: Identify the type of equation

First, observe that the equation is a polynomial.  This is a type of equation where there may be multiple terms containing an x, where each term with an x is raised to a whole number power, and may be multiplied by a real number.  Additionally, there may be a constant term added (or subtracted).

For our equation, [tex]y=3x^2-12x+1[/tex], the first two terms contain an x, each raised to a whole number power, and are multiplied by a number.  Additionally, there is a constant added to the end of the equation.  Therefore, this is a polynomial.

The largest power of x in a polynomial is called the "degree" of the polynomial.  Since the largest power of x is 2, this is called a second degree polynomial.  Another common name for a second degree polynomial is a quadratic equation.

This quadratic equation is already in what is known as "Standard form" [tex]y=ax^2+bx+c[/tex]

Concept 2: Identify the concavity (opens up/down)

For quadratic equations, the graph of the equation will be a sort of "U" shape" called a parabola.  The parabola either opens up or down depending on the "leading coefficient" in the quadratic equation.

The "leading coefficient" of any polynomial is the constant number that is multiplied to x in the term with the highest power.  In this case, the leading coefficient is 3.

A parabola opens up or down in correspondence with the sign of the leading coefficient.  If the leading coefficient is positive, the parabola opens upward.  If the leading coefficient is negative, the parabola opens downward.

Since the leading coefficient is 3, the parabola for our example opens upward.  The branches of the "U" will go upward forever, without a maximum.  However, the bottom of the "U" will have a minimum value.  We are assigned to find this minimum value (how low it goes).

Concept 3: Finding a vertex of a parabola

To find the vertex of a parabola, with an equation in standard form, there are a few methods, but the most straightforward is to use the vertex formula:

[tex]h=\dfrac{-b}{2a}[/tex]

Where "h" is the x-coordinate of the vertex, and "a" and "b" are the coefficients from the quadratic equation: [tex]y=ax^2+bx+c[/tex]

[tex]h=\dfrac{-(-12)}{2(3)}[/tex]

[tex]h=\dfrac{12}{6}[/tex]

[tex]h=2[/tex]

So, the parabola will have a vertex with an x-coordinate of "2", meaning that the lowest point will be at a position that is 2 units to the right of the origin... however, we still don't know how high that minimum is.  Fortunately, the equation [tex]y=3x^2-12x+1[/tex] itself gives the relationship between any x-value and the y-value that is associated with it.

[tex]y=3x^2-12x+1[/tex]

[tex]y=3(2)^2-12(2)+1[/tex]

[tex]y=3*4+(-12)*2+1[/tex]

[tex]y=12+-24+1[/tex]

[tex]y=-11[/tex]

So, the vertex of the parabola is (2,-11).

The height of the vertex is -11, so the value of the minimum is -11.

Side note: "What is the value of the minimum" is a different question that "where is the minimum at".  The minimum is at 2.  The actual value of the minimum is -11.

Which function is a parabola?

F(x)=5-x^2

X - 2 -1 -0 0 3
G(x) 3 0 -1 0 3

1. F(x) only
2. G(x) only
3. Both f(x) and g(x)
4.neither

Answers

The function F(x) is a parabola because it is in the form of y = ax^2 + bx + c, which is the standard form of a quadratic equation. In this case, a = -1, b = 0, and c = 5, which means the parabola opens downwards and has a vertex at (0, 5).

The function G(x) is not a parabola because it does not have a quadratic term (x^2). Instead, it appears to be a piecewise linear function with three line segments.

Therefore, the answer is 1. F(x) only.

Answer:

1. F(x) only

-----------------------

F(x) is in the format of a quadratic function:

y = ax² + bx + c, with a = - 1, b = 0, c = 5

Hence it is a parabola.

The table represents a relation with two x-intercepts and two y-intercepts (points with the coordinate of 0).

We know that parabola can have maximum of one y-intercept, hence G(x) is not a parabola.

The matching answer choice is the first one.

Gilberto Brought $36. 50 to the state fair. He bought a burger a souvenir and a pass. The burger was 1/3 as much as the souvenir and the souvenir cost 1/2 the cost of the pass. Gilberto had $4. 00 left over after buying these items

Answers

Gilberto brought $69.00 to the state fair.

How much money did Gilberto bring to the state fair originally?

Let's start by assigning variables to represent the unknown values in the problem:

Let x be the cost of the pass.The cost of the souvenir is half the cost of the pass, so the souvenir costs (1/2)x.The cost of the burger is 1/3 the cost of the souvenir, so the burger costs (1/3)(1/2)x = (1/6)x.

According to the problem, the total amount spent by Gilberto is equal to $36.50, so we can set up an equation:

x + (1/2)x + (1/6)x = 36.5

Simplifying the equation, we can combine the like terms:

(5/6)x = 36.5

To solve for x, we can multiply both sides by the reciprocal of 5/6:

x = 36.5 / (5/6) = $43.80

So the cost of the pass is $43.80. Using the values we assigned earlier, we can find the cost of the souvenir and the burger:

The souvenir costs half the cost of the pass, which is (1/2)($43.80) = $21.90.The burger costs 1/3 the cost of the souvenir, which is (1/3)($21.90) = $7.30.

Therefore, Gilberto spent $43.80 on the pass, $21.90 on the souvenir, and $7.30 on the burger, for a total of $43.80 + $21.90 + $7.30 = $73.00.

However, we are also told that Gilberto had $4.00 left over after buying these items.

So we can subtract that from the total amount spent to get the initial amount of money that Gilberto brought to the fair:

$73.00 - $4.00 = $69.00

Therefore, Gilberto brought $69.00 to the state fair.

Learn more about state fair

brainly.com/question/650189

#SPJ11

What’s my gpa?
For school

Answers

Answer:

2.2

Step-by-step explanation:

To find your GPA, use the attached image:

After you've written down your numerical scores, divide it by the total classes you're taking, which is 7.

So, your GPA is 2.2

Deriving the Law of Cosines


Try it


Follow these steps to derive the law of cosines.


✓ 1. The relationship between the side lengths in AABD is


C2 = x2 +hby the Pythagorean theorem M


✓ 2. The relationship between the side lengths in ACBD is


Q2 = (b - x)2 +hby the Pythagorean theorem


V 3. The equation e? = (6 – x)2 + h? is expanded y to become


22 = 62 - 2x + x2 +h?


a


h


✓ 4. Using the equation from step 1, the equation


22 = 62 - 2bx +32+ hbecomes a = 62 - 2bx + 2


by substitution


A


х


D


b-x


С


Correct! You have completed this exercise.


b

Answers

1) The relationship between the side lengths in ΔABD is c² = x² + h² by the Pythagorean Theorem.

2) . The relationship between the side lengths in Δ CBD is a² = (b-x)² + h² by the Pythagorean Theorem.

3) The expanded equation is e² = x² -12x + 36 + h²
4) the expanded equation is a² = b²-x²+32

What is Pythagorean theorem?

According to the Pythagorean theorem, the square of the hypotenuse (c) of a right triangle equals the sum of the squares of the other two sides  (a² + b²).

So


1) The relationship between the side lengths in ΔABD is c² = x² + h² by the Pythagorean Theorem.

2) The relationship between the side lengths in Δ CBD is a² = (b-x)² + h² by the Pythagorean Theorem.

3) The equation is e² = (6 - x)² + h² when expanded

e² = 36 - 12x + x² + h²
or

e² = x² -12x + 36 + h²

4) Using this equation, we can solve for h² by subtracting (b-x)² from both sides:

a² - (b-x)² = h²

Now we can substitute this expression for h² into the equation given in step 3

2² = 6² - 2bx + (a² - (b-x)²)

Simplifying this equation, we get:

4 = 36 - 2bx + a² - (b-x)²

Expanding the square term, we get:

4 = 36 - 2bx + a² - (b² - 2bx + x²)

Simplifying further, we get:

4 = 36 - b² + x² + a²

Rearranging, we get:

a² = b² - x² + 32

So the equation expanded  is a² = b² - x² + 32.

Learn more about  Pythagorean theorem:
https://brainly.com/question/14930619
#SPJ4

Full Question:

For 1 and 2, see attached image.
3)  The equation e²= (6 – x)² + h² is expanded y to become ?
4) Using the equation from step 1, the equation

2² = 6² - 2bx +32+ h becomes a = 62 - 2bx + 2

by substitution

22 = 62 - 2x + x2 +h?

help me please i legit need help with pythagorean theorm

Answers

Answer:

1. [tex]9^{2} + 12^2 = 15^2\\81+144=225[/tex]

In a laboratory experiment, the population of bacteria in a petri dish started off at 380 and is growing exponentially at 3% per day. Write a function to represent the population of bacteria after tt days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent

Answers

The function is P(t) = 380 x [tex]1.0300^{t}[/tex], which is an exponential function, and the rate of change is 1.24% each hour.

The equation P(t) = 380 x [tex](1 + 0.03)^{t}[/tex] represents the population of bacteria after t days.

Rounding to four decimal digits and simplifying:

P(t) = 380 x [tex]0.0300^t[/tex]

We can use the following formula to determine the percentage rate of change each hour:

r = [tex]100 \times e^{(ln(1 + 0.03)/24) - 1)}[/tex]

where e is the Euler's number, ln is the natural logarithm, and r is the percentage rate of change per hour.

Rounding to the nearest tenth of a percent and simplifying:

r = 1.24%

This exponential function simulates the population of bacteria multiplying exponentially at a rate of 3% each day in a petri dish.

To know more about exponential function, refer:

https://brainly.com/question/27161222

#SPJ4

Olivia and her friends went to a movie at 1:50 P.M. The movie ended at 4:10 P.M. How long was the movie?

Answers

Answer: The movie was 2 hours and 20 minutes long.

Step-by-step explanation:

basic adding + subtracting

Center: (2, 8) radius: 3
What is the equation of a circle with the center and radius given?

Answers

(x-2)^2 + (y-8) ^2 =9
I dont know how to type squared on a keyboard so i put a picture too if you need to look at that

La o florarie s-au adus ghivece de flori.in prima zi s-a vandut 1 supra 2 din numarul ghivecelor,a doua zi 1 supra 4 din numarul ramas si inca 7 ghivece iar a treia zi restul de 20 de ghivece.cate ghivece s-au vandut in fiecare zi si cate sau adus initial la florarie

Answers

S-au adus initial 68 de ghivece de flori, iar în fiecare zi s-au vândut, respectiv, 34, 17 și 17 ghivece.

How many flower pots were sold each day and how many were initially brought to the flower shop?

Initial, la florărie s-au adus x ghivece de flori. În prima zi s-au vândut 1/2 * x ghivece. A doua zi, din numărul rămas s-au vândut 1/4 * (x - 1/2 * x) ghivece, adică 1/4 * 1/2 * x.

În plus față de acestea, s-au vândut încă 7 ghivece, deci în total în a doua zi s-au vândut 1/4 * 1/2 * x + 7 ghivece. În a treia zi s-au vândut restul de 20 de ghivece, deci numărul rămas la finalul celei de-a doua zile este x - 1/2 * x - 1/4 * 1/2 * x - 7. Trebuie să fie egal cu 20, deci avem ecuația x - 1/2 * x - 1/4 * 1/2 * x - 7 = 20.

Rezolvând această ecuație, obținem x = 128. Prin urmare, în prima zi s-au vândut 1/2 * 128 = 64 ghivece, în a doua zi s-au vândut 1/4 * 1/2 * 128 + 7 = 15 ghivece, iar în a treia zi s-au vândut restul, adică 20 ghivece.

Learn more about x
brainly.com/question/9248395
#SPJ11

D(x) is the price, in dollar per unit, that the consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point.
D(x)=(x-7)^2, S(x)=x^2+2x+33
Find:
A) The equilibrium point
B) The consumer surplus at the equilibrium point
C) The producer surplus at the equilibrium point

Answers

32/9

So the producer surplus at the equilibrium point is 32/9 dollars.

To find the equilibrium point, we need to set D(x) equal to S(x) and solve for x:

(x-7)^2 = x^2 + 2x + 33

Expanding and simplifying:

x^2 - 14x + 49 = x^2 + 2x + 33

12x = 16

x = 4/3

So the equilibrium point is x = 4/3.

To find the consumer surplus at the equilibrium point, we need to find the difference between the maximum price consumers are willing to pay (D(4/3)) and the equilibrium price (S(4/3)) and multiply by the quantity sold (4/3):

Consumer surplus = (D(4/3) - S(4/3)) * (4/3)

= [(4/3 - 7)^2 - (4/3)^2 - 2(4/3) - 33] * (4/3)

= [49/9 - 16/9 - 8/3 - 33] * (4/3)

= -224/27

So the consumer surplus at the equilibrium point is -224/27 dollars.

To find the producer surplus at the equilibrium point, we need to find the difference between the equilibrium price (S(4/3)) and the minimum price producers are willing to accept (S(0)) and multiply by the quantity sold (4/3):

Producer surplus = (S(4/3) - S(0)) * (4/3)

= [(4/3)^2 + 2(4/3) + 33 - 33] * (4/3)

= 32/9

So the producer surplus at the equilibrium point is 32/9 dollars.

Learn more about minimum price here:

https://brainly.com/question/13293427

#SPJ11

Let f(x)= -2x+4 and g(x)= 3x^2. Find (f+g)(x) and (f-g)(x)
State the domain of each.
Evaluate the following: (f+g)(-3) and (f-g)(-3)

Answers

The scope of both functions is all real numbers.

How to solve

To compute the values of (f+g)(x) and (f-g)(x), we apply the addition and subtraction of two distinct functions, respectively:

(f+g)(x) = f(x) + g(x) = [tex](-2x + 4) + (3x^2) = 3x^2 - 2x + 4[/tex]

(f-g)(x) = f(x) - g(x) = [tex](-2x + 4) - (3x^2) = -3x^2 - 2x + 4[/tex]

The scope of both functions is all real numbers.

Subsequently, we evaluate the expressions for x = -3:

(f+g)(-3) = [tex]3(-3)^2 - 2(-3) + 4[/tex] = 3(9) + 6 + 4 = 27 +6 +4 = 37

(f-g)(-3) = [tex]-3(-3)^2 - 2(-3) + 4[/tex]= -3(9) + 6 + 4 = -27 + 6 + 4 = -17

Read more about domain here:

https://brainly.com/question/26098895

#SPJ1

The aquarium has a fish tank in the shape of a prism. if the tank is 3/4 full of water, how much water is in the tank?

Answers

The amount of water in the tank can be calculated by multiplying 3/4 to the volume of the tank: 3/4 x V = (3/4)L x W x H.

To calculate the amount of water in the aquarium's fish tank in the shape of a prism,

you would need to know the dimensions of the tank and then multiply the volume of the tank by 3/4.

Let's assume that the aquarium has a rectangular prism shape,

the amount of water in the tank would depend on the dimensions of the tank.

Let's assume the tank has a length of L, a width of W, and a height of H.

The volume of the tank can be calculated by multiplying the length, width, and height together: V = L x W x H.

If the tank is 3/4 full of water, the volume of water in the tank would be 3/4 of the total volume of the tank.

Learn more about  rectangular prism here:

https://brainly.com/question/21308574

#SPJ4

Fernando fue a comprar entradas para que él y


sus 7 amigos asistan a la Expo-Loncoche que


se realiza en La ciudad del mismo nombre.


Entre todos lograron reunir $14. 000, pero cada


entrada cuesta $ 3. 600 ¿Cuánto dinero le falta


a cada uno para comprar las entradas?

Answers

After evaluation each person is missing $1400 to purchase the tickets to enter the Expo-Loncoche that takes place in the city.

Then, the count of individuals multiplied by the price per ticket yields the total cost of the tickets. So we have to apply principles of algebraic expression.
Now, in order to solve the problem, we can first find the total cost of tickets, which is $25,200
(7 friends + Fernando = 8 people × $3,600 = $28,800).
The whole cost can then be deducted from the total amount raised,
$14,000 - $25,200 = -$11,200.

Therefore, they are short $11,200 in total.
Finally, we have to divide that sum by the required number of tickets, which is 8,
-$11,200 8 = -$1,400.
Hence,  each person needs an additional $1,400 to buy tickets.

To learn more about algebraic expression,
https://brainly.com/question/4344214
#SPJ4

The Complete question - Fernando went to buy tickets so that he and his 7 friends attend the Expo-Loncoche that takes place in the city of the same name. Together they managed to raise $14,000, but each the entrance costs $3,600. How much money is missing each to buy tickets?

The population of a town after t years is represented by the function (t)=7248(0.983)^t. What does the value 0.983 represent in this situation

Answers

Answer:

Constant

Step-by-step explanation:

What is an exponential function?

An exponential function is a function with the general form y = abx, a ≠ 0, b is a positive real number and b ≠ 1. In an exponential function, the base b is a constant. The exponent x is the independent variable where the domain is the set of real numbers.

In this case, y=ab^x

where 0.983 is in our b term, which gives the meaning that number is our constant in this exponential function.

The measures of the interior angles of a hexagon are represented by
, and. The measure of the largest interior angle is

Answers

The measure of the largest interior angle is  105°.

What is the measure of angle?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Here, we have

Given: The measures of 5 of the interior angles of a hexagon are: 130, 120°, 80, 160, and 155. we have to find the measure of the largest interior angle.

The sum of all the six interior angles of a hexagon is 720°.

As sum of five angles is 130° + 120° + 80° + 160° +155° = 165°

The sixth angle is 720° - 165° = 75°

So the smallest interior angle of the hexagon is 75°.

and the largest exterior angle is 180° -  75° =  105°.

Hence, the measure of the largest interior angle is  105°.

Question: The measures of 5 of the interior angles of a hexagon are: 130, 120°, 80, 160, and 155 What is the measure of the largest exterior angle?

To learn more about the measure of angle from the given link

https://brainly.com/question/28293784

#SPJ4

Ethan goes to the park. The park is 85km away from his house towards south. After 2. 00 minutes,Wthan is 195km away from his house towards west. Find Ethans velocity

Answers

If after 2.00 minutes, Ethan is 195km away from his house towards west, Ethan's velocity is approximately 6393 km/h.

To find Ethan's velocity, we need to first determine the distance he traveled and the time he spent traveling.

Given:
1. Initial position: Ethan's house
2. Distance to park: 85 km south
3. Final position: 195 km west from house after 2 minutes

To find the total distance, we can use the Pythagorean theorem, as the path forms a right triangle:
Distance = √(85² + 195²) = √(7225 + 38025) = √(45250) ≈ 212.72 km

Now, let's convert the time from minutes to hours:
2 minutes = 2/60 hours ≈ 0.0333 hours

Finally, we can calculate Ethan's velocity:
Velocity = Distance / Time = 212.72 km / 0.0333 hours ≈ 6393 km/h

Ethan's velocity is approximately 6393 km/h.

More on velocity: https://brainly.com/question/28694311

#SPJ11

Other Questions
spartacus may be remembered as question 3 options: a. the general who fought at the battle of cannae. b. a slave who led a revolt against rome c. a tribune who supported gaius gracchus. d. a great orator. A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 4.5 ft by 11.5 ft by 10.5 ft. The container is entirely full. If, on average, its contents weigh 0.4 pounds per cubic foot, and, on average, the contents are worth $4.60 per pound, find the value of the containers contents. Round your answer to the nearest cent. True or false: when a company wants to have tight control over a foreign entity, it is in the best interest of that company to forge a licensing agreement rather than use foreign direct investment. Acetic acid has a molar mass of 60.05 g/mol. If 16.84 grams of acetic acid are present, how many moles of acetic acid does that correspond to? what are the answers to these questions An ungraduated mercury thermometer 'Q" attached to millimeter scale reads 22. 8mm in ice and 252. 4mm in steam at standard pressure. What will it read on a day when temperature is 30 F 27. the value of a certain car can be modeled by the functiony = 18000(0.76)', where t is time in years. will the value of the function ever be 0? 4) You are a passenger on a spaceship. As the speed of the spaceship increases, you would observe that A) the length of your spaceship is getting shorter. B) the length of your spaceship is getting longer. C) the length of your spaceship is not changing a young girl from a poor family is sent to live with wealthy distant relations. her relations expect her to take care of the household cooking and cleaning instead of going to school. they do not pay her and threaten her when she attempts to return home. her situation is an example of a. the new caste system. b. modern apartheid. c. modern slavery. d. the new jim crow. A small private airplane traveled 140 miles in the same amount of time it took a helicopter to travel 95 miles. The plane's average speed was 40 miles per hour faster than the helicopter's average speed. PART 1: Which equation could be used to calculate the average speed of each vehicle? A. 140 95 B. 95 x + 40 Y Y + 40 C. 140x = 95x + 40 D. 40. 235 The window in sandra's dining room is in the shape of a semi circle. the diameter of the window is 16 inches. how many square inches is the window.use 3.14 for . round to the nearest tenth identify the pattern, then write the next three terms in this sequence. 12. 83, 75, 67, 59 Kegler Bowling buys scorekeeping equipment with an invoice cost of $170,000. The electrical work required for the installation costs $17,500. Additional costs are $3,500 for delivery and $12,225 for sales tax. During the installation, the equipment was damaged and the cost of repair was $1,650. Required:Indicate whether each cost should be included in the cost of the equipment or excluded and expensed as incurred Large-sized primates, like gorillas, have a ____ metabolic rate compared to smaller primates. Group of answer choices how would you extend the single cycle datapath in the figure below to implement the cbnz (branch on not zero) instruction? this is similar to cbz except that the branch is taken when the register is not zero. explain your work briefly. (5 points) The total revenue (in dollars) and total cost (in dollars) for the production and sale of x TV's are given as R(x) = 190x 0.4x^2 and C(x) = 3560 + 20x. Find the value of x where revenue is constant (where the rate of change of R(x) is equal to 0).The revenue function is constant when x = ______ What exactly does helpful, collaborative feedback look and sound like? In this discussion, you'll work with your peers to ensure that your feedback is actually relevant and helpful. Let's read Arnold's post:Overall, I think a good guide is to focus your feedback on something specific, even if that means it's a relatively small thing. Big, sweeping observations like "Your organization is messy" or "I don't understand your argument" are really unhelpful and overwhelming. Instead, it's best to focus on one small piece of the overall organization and suggest a specific change; for example, "How about using a transitional phrase at the end of your introduction to guide the reader into your first claim?"Create one post that answers the following prompt:You will be providing feedback to peers. Suggest two guidelines for the group to follow to collaborate successfully. Create two posts that:Reply to your peers' comments and questions Find the indicated coefficients of the power series solution about x = O of the differential equation (x2 x + 1)y' y + 8y = 0, y(0) = 0, y(0) = 4 y = 4x+ 2 x+ -4 23+ -44/9 24+ 1/6 5 + (326) can someone help me with this problem? 2. Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimatesthat this represents 9% of each family's gross income. Solve for the gross income for each family based off of their taxes owed.