A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.

A. Griffin
B. Gigi

Answer:

these rates are equivalent.

12bottles/$4= 18bottles/$6= 3bottles/$1

Step-by-step explanation:

Answer:

1 1/2

Hope that helps!

Step-by-step explanation:

I think the mathematical equation for this sentence is

(Step 1)

4x-18=5                    Add 18 to both sides to get the numbers on the same

 +18  | +18              Side of the equals sign.

----------------------      

4x =23

(Step 2)

4x =23  / 4           Divide equation by four

x=5.75                     The answer is X=5.75

Hope I was able to help :)

Answer:

Assuming you wanted to find that mystery number:

It would be 5.75.

Step-by-step explanation:

5 = 4x - 18

Add 18 to both sides of the equation:

5 + 18 = 4x - 18 + 18

23 = 4x - 18 + 18

23 = 4x

Divide each side by 4:

(23/4) = (4x/4)

23/4 = x

5.75 = x

x = 5.75

The angle vertical to 160 is also 160.

So you have 320

You have 320 out of a full circle, 360.

If there's two angles left, equal to each other

Then they each would be 20 degrees.

I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.

Answer:

The remaining angles are 20°, 160° and 20°

Step-by-step explanation:

Since a circle has 360° and one angle is know, the remaining angles can be found.

Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.

The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.

Let's say the remaining angles are values "x".

360° must equals 160° + 160° + x + x

360 = 160 + 160 + x + x

360 = 320 + 2x

40 = 2x

x = 20

The remaining two angles are 20°

Answer:

D) 1,000,000

Step-by-step explanation:

Here it is.

Answer:

B. -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Calculus  

Integrals  

Integration Rule [Reverse Power Rule]:                                                                [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]  

Integration Property [Swapping Limits]:                                                                  [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                           [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]  

Integration Property [Addition/Subtraction]:                                                         [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]  

Integration Property [Splitting Integral]:                                                                 [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]  

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]

[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]

[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]

Step 2: Redefine

Manipulate the given integrals.

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

a. Length = 13 yards and Width = 21 yards.

b. Area of rectangle = 273 square yards.

Step-by-step explanation:

Let the length of the rectangular garden be L

Let the width of the rectangular garden be W

Given the following data;

Perimeter of garden = 68 yards

Translating the word problem into an algebraic equation, we have;

W = 2L - 5 ......equation 1

Note: The formula for calculating the perimeter of a rectangle is;

[tex]P = 2L + 2W[/tex]

68 = 2L + 2W ........equation 2

Substituting eqn 1 into eqn 2;

68 = 2L + 2(2L - 5)

68 = 2L + 4L - 10

68 = 6L - 10

6L = 68 + 10

6L = 78

L = 78/6

L = 13 yards

To find the width;

W = 2L - 5

W = 2(13) - 5

W = 26 - 5

W = 21 yards.

b. To find the area of the garden;

Area of rectangle = length * width

Area of rectangle = 13 * 21

Area of rectangle = 273 square yards.

Answer:

D. The rate of change for function B is greater than the rate of change for function A

Step-by-step explanation:

Function a has a slope (aka rate of change) of 3/3

I know this because we start at (-3, 0) then finish at (0, 3)

We added 3 to both the x value and the y value.

3/3 = 1, so we have a rate of change of 1 for function A

Now that we know this, we can write the equation out into slope intercept form.

We can get y = x + 3

The equation for function B is y = 5x + 5

The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

3 mi/min

Step-by-step explanation:

speed =distance/time

900/300=3

Answer:

what is this............

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

The 18 will not be the sum of the two numbers for the given option so option (D) will be correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that two numbers are x and y

Given,

Multiply two integers together and then add 4, the result is 40.

So,

xy + 4 = 40

xy = 36

The possible two numbers whose multiplication gives 36 are

(6 ,6) , (9,4),(12,3) and (18,2)

So the sum would be 12, 13, 15 and 20

The Remaining is 18.

Hence "The 18 will not be the sum of the two numbers".

For more about the equation,

https://brainly.com/question/10413253

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Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Price = R820.99[/tex]

Required

Calculate the VAT

To solve this question, we need the percentage VAT. Assume that the % VAT is 2%, the amount to pay is:

[tex]Amount = 2\% * R820.99[/tex]

[tex]Amount = 0.02 * R820.99[/tex]

[tex]Amount = R16.4198[/tex]

Answer:

16, 25, 36

Step-by-step explanation:

The square numbers that are greater than 10 but less than 40 are 16, 25 and 36

A square number is a number multiplied by itself. This can also be called a number squared.

Given,

Square numbers that are greater than 10 and less than 40

[tex]4^{2}=16\\ 5^{2}=25\\ 6^{2}=36[/tex]

Hence, the  square numbers that are greater than 10 but less than 40 are 16, 25 and 36

Learn more about Square numbers here

https://brainly.com/question/11261431

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Answer:

The answer is C.

Step-by-step explanation:

You should plug the numbers into the quadratic formula to get the answer.

Answer:

A:  -5 ± √ 17 / 2

Step-by-step explanation:

Consider the following equations:

ax^2 + bx + c - This is an equation you use in understanding quadratic functions.

x= (−b± √b^2−4ac) / 2a - This is the quadratic formula used to solve quadratic functions

So:  ax^2 + bx + c = x^2 + 5x + 2

SOLVE:

-(5) ± √ 5^2−4(1)(2)) / 2(1)

= -5 ± √ 25− 8 / 2

= -5 ± √ 25− 8 / 2

= -5 ± √ 17 / 2

Answer:

The equation that models the situation is [tex]y = 8 - 0.75t[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.

A candle is 8 inches tall and burns at 3/4 inch each hour.

Using t as number of hours and y as the height.

Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]

Burns at 3/4 inch each hour.

That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]

So

[tex]y = 8 - 0.75t[/tex]

Answer:

t r u e

Step-by-step explanation:

Answer: 2/3 of paper

Step-by-step explanation: 2 papers divided by 3 students would be 2/3 of paper for each

Answer:

530.7

Step-by-step explanation:

A circle's area is defined as πr²

You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:

3.14×13²

When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7

Hope this helps!

Answer:

x=14 ; y= √153.

Step-by-step explanation:

1) x=7 / sin30°=14.

2) y=√(x²-7²)=√153.

Answer:

D

Step-by-step explanation:

That's the answer.......

Answer:

D

Step-by-step explanation:

Answer:

a) the probability of (2 < X < 6) is 0.6247

b) the value of c is 3.878

c) the value of E[ x² ] is 13

Step-by-step explanation:

Given that;

mean μ = 3

variance = 4

standard deviation s = √variance  = √4 = 2

(a) Find the probability P(2 < X < 6)

P(2 < X < 6) = p( (x - μ / s ) < z <  (x - μ / s ) )

= p( (2 - 3 / 2 ) < z < (6 - 3 / 2 ) )

= p( -0.5  < z <  1.5)

from z-score table, 1.5; z = 0.9332 and -0.5; z = 0.3085

so

P(2 < X < 6)  = 0.9332 - 0.3085 = 0.6247

Therefore, the probability of (2 < X < 6) is 0.6247

b) Find the value c such that P(X > c) = 0.33

with p-value = 0.33, the corresponding z -score to the right is 0.439

we know that;

z = x - μ / s

we substitute

0.439 = x - 3 / 2

x - 3 = 2 × 0.439

x - 3 = 0.878

x = 0.878 + 3

x = 3.878

Therefore, the value of c is 3.878

c) Find E[ x² ].

Variance = E[ x² ] - [ mean ]²

E[ x² ]  = Variance + [ mean ]²

we substitute

E[ x² ]  = 4 + [ 3 ]²

E[ x² ]  = 4 + 9

E[ x² ]  = 13

Therefore, the value of E[ x² ] is 13

The distribution follows a normal distribution.

The given parameters are:

[tex]\mathbf{\mu = 3}[/tex] --- mean

[tex]\mathbf{\sigma^2= 4}[/tex] --- variance

(a) P(2 < x < 6)

Start by calculating the standard deviation

[tex]\mathbf{\sigma = \sqrt{\sigma^2}}[/tex]

This gives

[tex]\mathbf{\sigma = \sqrt{4}}[/tex]

[tex]\mathbf{\sigma =2}[/tex]

Calculate the z-scores for x = 2 and 6

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z = \frac{2 - 3}{2} = -0.5}[/tex]

[tex]\mathbf{z = \frac{6 - 3}{2} = 1.5}[/tex]

So, the probability becomes

[tex]\mathbf{P(2 < x < 6) = P(-0.5 < z < 1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(2 < x < 6) =0.9332 - 0.3085}[/tex]

[tex]\mathbf{P(2 < x < 6) =0.6247}[/tex]

(b) Calculate c if P(X > c) = 0.33

Start by calculating the z-score for p-value = 0.33

From the z table, z = 0.439 when p-value = 0.33

Recall that:

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{0.439 = \frac{x - 3}{2}}[/tex]

Multiply both sides by 2

[tex]\mathbf{0.878= x - 3}[/tex]

Add 3 to both sides

[tex]\mathbf{3.878= x}[/tex]

Rewrite as:

[tex]\mathbf{x = 3.878}[/tex]

Replace x with c

[tex]\mathbf{c = 3.878}[/tex]

The value of c is 3.878

(c) Calculate E[x²]

The variance of a dataset is:

[tex]\mathbf{\sigma^2 =E(x^2) - \mu^2}[/tex]

Substitute known values

[tex]\mathbf{4 =E(x^2) - 3^2}[/tex]

[tex]\mathbf{4 =E(x^2) - 9}[/tex]

Add 9 to both sides

[tex]\mathbf{13 =E(x^2) }[/tex]

Rewrite as:

[tex]\mathbf{E(x^2) = 13 }[/tex]

Hence, the value of [tex]\mathbf{E(x^2) }[/tex] is 13

Read more about normal random variables at:

https://brainly.com/question/11395972

Answer: 28.5cm squared

Answer:

4cm². Hop it helped

Step-by-step explanation:

Answer:

y = -48

x = 0

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

have a great day

Answer:

12hr, 66mins, 1.23245 sedconda

Step-by-step explanation:

fvavdfbgthujiugfd

Answer: All of them are correct expect number 5

Step-by-step explanation: 43 divided by 25 is 43/25 and that’s not right so the correct answer is 1950 because if you divide 1950 by 25 you get 78 and 78 + 12 = 90