Answer:
Perimeter = 2(l + b)
= 2(x + 5x³ + 4 - x²)
= 2x + 10x³ + 8 - 2x²
= 10x³ - 2x² + 2x + 8
Hence, ur answer is the first option.
Answer:
A.
Step-by-step explanation:
L = x
W = 5x³ + 4 - x²
P = 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
P(x) 10x³ - 2x² + 2x + 8
L = x
W = 5x³ + 4 - x²
P= 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
= P(x) 10x³ - 2x² + 2x + 8
6 Solve each equation. Round to the nearest ten-thousandth. Check your answers.
2.
4x = 19
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{4x = 19}\\\\\large\textbf{DIVIDE 4 to BOTH SIDES}\\\\\rm{\dfrac{4x}{4} = \dfrac{19}{4}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\rm{x = \dfrac{19}{4}}\\\\\rm{x = 19 \div 4}\\\\\text{x = 4.75}\\\\\rm{x \approx 4.7500}\\\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{4.7500}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is the probability that a family with three children will have all girls?
A) 1/2
B) 1/8
C) 25%
D) .10
Answer:
B) 1/8
Step-by-step explanation:
each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.
the probability will then be:
(0.5)³=0.125=1/8
A couple decides that Sophia will drive the first 3/5 of a trip and Toby the last 2/5. The entire trip is A couple decides that Sophia will drive the first 3/5 of a trip and Toby the last 2/5. The entire trip is 500 miles long. How far will Sophia drive?500 miles long. How far will Sophia drive?
Answer:
60 miles
Step-by-step explanation:
miles that Sophia drove = 3/5 x 100 = 60 miles
A fraction is a way to describe a part of a whole. The distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
A fraction can also be described in the form of a percentages, to represent the part of the whole.
Given that the length of the entire trip is 500 miles. Also, the first 3/5 of the trip are covered by Sophia and the last 2/5 of the trip are covered by Toby.
Now, the distance covered by Sophia and Toby will be,
Distance covered by Sophia = (3/5) × 500 miles = 300 miles
Distance covered by Toby = (2/5) × 500 miles = 200 miles
Hence, the distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.
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if the figure forms the base of a right solid 110 centimeters high, find the surface area
Answer:
[tex]60200cm^{2}[/tex]
Step-by-step explanation:
(I am assuming that the units for the measurements in this question are all centimeters)
Surface area = 2 * (Area of Base) + (Perimeter of base)*(Height)
First, we'd need to solve for the area of the base by finding the area of the triangle and subtracting it from the area of the rectangle. The area of the rectangle is [tex]100 * 150 = 15000[/tex]. The area of the triangle is [tex]\frac{1}{2} * 120 * 90 = 5400[/tex]. (We can do this because it is a right triangle with leg lengths in the pattern of a 3-4-5 triangle.) Now, subtracting the area of the triangle from the rectangle, we get [tex]15000 - 54000 = 9600[/tex]. This is the area of the base.
Next, the perimeter of the base is [tex]100 + 150 + 90 + 120 = 460[/tex]. Multiplying this by the height, we get [tex]460 * 110 = 50600[/tex].
Finally, we add 9600 and 50900 to get [tex]9600 + 50900 = 60200[/tex].
-3 5/7 X -2 1/2
I really don't understand
Answer:
[tex] - 3 \frac{5}{7} x - 2\ \frac{1}{2} [/tex]
[tex] \frac{ - 26}{7} - \frac{5}{2} [/tex]
LCM of 7 and 2 is 14
Multiplying (-26/7) with 1/2 (to make the denominator 14) and -5/2 with 1/7
[tex] \frac{ - 26}{7} \times \frac{1}{2} - \frac{5}{2} \times \frac{1}{7} [/tex]
[tex] \frac{ - 26}{14} - \frac{5}{14} [/tex]
[tex] \frac{ - 26 - 5}{14} [/tex]
[tex] - \frac{31}{14} [/tex]
correct function combinations to x2-7x-18
The factors of the function after factorization f(x)=[tex]x^{2} -7x-18[/tex] is (x+2) and (x-9)
Given Function f(x)=[tex]x^{2} -7x-18[/tex] and we have to find the factors of the given function.
The function whose factors are to be found is f(x)=[tex]x^{2} -7x-18[/tex]
Factorization means finding various expressions which when together multiplied will give the function itself. Correct combination can only be found by finding the factors of the function. Without finding factors no one can find the solution of an equation or expression also.
f(x)=[tex]x^{2} -9x+2x-18[/tex]
=x(x-9)+2(x-9)
=(x+2)(x-9)
Hence the factors which when combine together gives function f(x)=[tex]x^{2} -7x-18[/tex] are (x+2)(x-9).
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3149 can be divide?
Answer:
yes.
but it will be in decimals if you divide by two. And if you divide it by another rank, it will surely give a whole number. please this all I can do for you and add me to your followers
Multiply.
0.311
x 4.2
OA. 0.1866
OB. 1.3062
OC. 13.062
OD. 186.6
Answer: 1.3062
Step-by-step explanation:
0.311 * 4.2 = 1.3062
(2-z)/z=((2-z)( ? ))/(z^2+z)
what is this? please
Answer:
The answer for "?" is z+1.
Step-by-step explanation: In order to solve this I recommend comparing the two equations and expanding them as much as possible, like so.
[tex](\frac{2-z}{z} =\frac{(2-z)(?)}{z^2+z} )=(\frac{2-z}{z} =\frac{(2-z)(?)}{z(z+1)} )[/tex]
Once you have the equations expanded to their maximum you can see what was added to the right side of the equation and what you need to add to the numerator in this case to make the two equations equal.
[tex](\frac{2-z}{z} =\frac{(2-z)(z+1)}{z(z+1)} )[/tex]
*Note: You can also check the solution by plugging in a number for z and checking to see that both side equal. For example if z = 3.
[tex]\\\frac{2-3}{3} =-\frac{1}{3} \\\frac{(2-3)(3+1)}{3^2+3} =-\frac{1}{3}[/tex]
So, z+1 is the answer.
Calculus. Please answer question attached.
(a) Given [tex]f(x) = x^3[/tex], the derivative is
[tex]f'(x)=3x^2[/tex]
which is exists for all [tex]x[/tex] in the domain of [tex]f[/tex], so [tex]]f[/tex] is differentiable everywhere and satisfies the mean value theorem. There is some number [tex]c[/tex] in the open interval (0, 2) such that
[tex]f'(c) = \dfrac{f(2) - f(0)}{2-0} \iff 3c^2 = \dfrac{8-0}2 = 4[/tex]
Solve for [tex]c[/tex] :
[tex]3c^2 = 4 \implies c^2 = \dfrac43 \implies \boxed{c = \dfrac2{\sqrt3}}[/tex]
We omit the negative square root since it doesn't belong to (0, 2). Graphically, the MVT tells us the tangent line to the curve [tex]f(x)=x^3[/tex] at [tex]x=\frac2{\sqrt3}[/tex] is parallel to the secant line through the endpoints of the given interval.
(b) [tex]f(x)=1+x+x^2[/tex] has derivative
[tex]f'(x)=1+2x[/tex]
By the MVT,
[tex]f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff 1+2c = \dfrac{7-1}2 \implies \boxed{c = 1}[/tex]
(c) [tex]f(x) = \cos(2\pi x)[/tex] has derivative
[tex]f'(x) = -2\pi \sin(2\pi x)[/tex]
By the MVT,
[tex]f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff -2\pi \sin(2\pi c) = \dfrac{0-0}2 \implies \sin(2\pi c) = 0 \\\\ \implies 2\pi c = n\pi \implies c = \dfrac n2[/tex]
where [tex]n[/tex] is any integer. There are 3 solutions in the interval (0, 2),
[tex]\boxed{c = \dfrac12, c = 1, c = \dfrac32}[/tex]
(Pictured is the situation with [tex]c=\frac12[/tex])
In a recent international sport competition the top three countries country A country B and country C won a total of 120 medals. country B won 11 more medals than country C .country A won 38 more medals than the total amount won by the other two . how many medals did each of the top three countries won.
An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,
1.) The top three countries country A, country B, and country C won a total of 120 medals.
A + B + C = 120
2.) Country B won 11 more medals than country C
B = C + 11
3.) Country A won 38 more medals than the total amount won by the other two.
A = B + C + 38
A - 38 = B + C
Substitute the value of B+C form the last equation to the first equation,
A + A - 38 = 120
A = 79
Now, Substitue the value of A and B(from second equation) in the first equation,
79 + C + 11 + C = 120
C = 15
Now, substitute the value of C in the second equation,
B = C + 11
B = 15 + 11
B = 26
Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.
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PLEASEEEEEEEEEE HELPPPPPPPPPP!! IM SO CONFUSED HOW TO DO THIS!
Create a word problem that can be represented by this mathematical statement and solve your problem.
12! / 3! 9!
They brought a new plasma TV for $1800 he made a down payment for 500 and then find is the balance to the store unfortunately he was unable to make the first monthly payment and now pay 7% interest per month on the balance what is Vicks monthly interest payment
Answer:
Vicks monthly interest payment is $91
Step-by-step explanation:
Total: $1800
Down payment: $500 (already paid)
Current balance need to be paid:
$1800 - $500 = $1300
7% of $1300 is, 1300 x 0.07 = $91
Giving out brainliest to whoever answers!
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
Both are not earning different salaries.
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.
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what is the slope of the line represented by the equation y = 4/5x -3?
Answer:
4/5
Step-by-step explanation:
Slope
Slope y-intercept of a line: y = mx + b
Where m is the slope and b is the y-intercept.
[tex]\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}[/tex]
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\large \boxed { \large \sf \green{m = \frac{4}{5} }}[/tex][tex]\large \bold {EXPLANATION}[/tex]
This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.
So that we can conclude that the slope is 4/5.
If the factors of quadratic function f are (x-7) and (x+3) what are the zeros of function g?
If the factors of quadratic function f are (x – 7) and (x + 3). The solution of the quadratic function f will be the negative 3 and 7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If the factors of quadratic function f are (x – 7) and (x + 3).
Then the zeroes of function f will be
(x – 7)(x + 3) = 0
x = 7, -3
Then the solution of the quadratic function f will be the negative 3 and 7.
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Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warrior's helmet. Which of the following are pairs of congruent segments? Check all that apply. A. PO and ON B. FR and NR C. NO and NM D. RC and RO E. DV and EW
Option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.
What is congruence in geometry?The measurements of the sides and angles of two or more geometrical figures determine their congruence. For example triangle's size is determined by its three sides, and its shape is determined by its three angles.
We have:
The diagram represents an unfolded paper kabuto, a samurai warrior's helmet.
Unfolded paper can be seen in the provided figure. The sheet is square.
The diagonals, in this case, are FN and AK, and the midline is CM and OI. At point R, all of these lines converge.
FR ≅ NR
AO ≅ ON
RC ≅ RO
NO ≅ NM
DV ≅ HV
Thus, option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.
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You invest $1600 in an account paying 5.4% interest compounded daily. What is the account's effective annual yield? Write as a decimal.
Answer:
For a principle amount of $1600 and rate 5.4%, the effective annual yield is 5.55% if interest is compounded annually.
Step-by-step explanation:
Concept: The annual percentage yield (APY) or the effective annual yield is the real rate of return earned on an investment, taking into account the effect of compounding interest.
The principle amount is $1600, rate is 5.4% and period is 365 days. The formula to find yield is [tex]Y = (1+\frac{r}{n} )^{n} -1[/tex]. All the values are to be inserted in the formula. Here n = 365 and r = 5.4%.
[tex]Y=(1+\frac{0.054}{365} )^{365} -1\\Y=(1.000148)^{365} -1\\Y=5.55%[/tex]
The annual yield is 5.55%.
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X -6,-3,0,3,6 y 0 1 2 3 4 which equation contains the coordinate parts given in the table
The linear equation that contains the coordinate parts in the given table is: y = 1/3x + 2.
How to Find the Equation of a Linear Equation?To find the linear equation that contains the coordinate parts in the table given, find the slope (m) and y-intercept (b), then substitute the values into y = mx + b.
Slope (m) using two coordinate parts, (0, 2) and (3, 3):
Slope (m) = change in y / change in x = (3 - 2)/(3 - 0)
Slope (m) = 1/3
y-intercept (b) = 2 [this is the value of y when x = 0)
Substitute the values into y = mx + b
y = 1/3x + 2.
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Standard Form
Instructions: Rewrite the equation in proper Standard Form.
Equation: x - y = −3
Standard Form:
Check
The ingredients for your braised greens cost 1.32. You sell it for $4. What is your contribution margin?
Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.
Given ingredients for your braised greens cost 1.32$ and sells at $4
We have to find contribution margin on that
The difference between a venture's variable costs and its selling price is the contribution margin:
= Selling price - Variable cost
The selling cost is $4 and the variable costs are $1.32.
Therefore Contribution margin is as follow:
= 4 - 1.32
= $2.68
Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
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A circle with center 0 and radius 5 has a central angle X O Y . If m ˆ X Y = 60 ∘ , what is the length of chord X Y ? Round your answer to the nearest whole number.
Answer: 5
Step-by-step explanation:
As all radii of a circle are congruent, [tex]\overline{OX} \cong \overline{OY}[/tex], it follows that [tex]\angle OXY \cong \angle OYX[/tex].
Because arc XY measures 60 degrees, we also know that [tex]m\angle XOY=60^{\circ}[/tex], and thus triangle OXY is equilateral.
Hence, XY=5 because all sides of an equilateral triangle are congruent.
What is the value of the rational expression below when x is equal to 4?
Answer: letter B (answer is 2)
Step-by-step explanation:
help
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
The equivalent interest rate is 4.07%.
The money will be compounded 12 times.
What is the equivalent interest rate?
The equivalent interest rate is the actual interest rate that an account earns after accounting for number of compounding.
Effective interest rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.04/12)^12 - 1 = 4.07%
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Please help! Please help with all sections
The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
What is an independent variable?An independent variable simply means the variable that's changed to test the effect on the dependent variable.
Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
This is because the number of hours is being used to predict cumulative grade point average.
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GUYS HELP NOW PLS WHAT IS THE PROBABILITY NOTATION FOR THE PROBABILITY OF CHOOSING A GREEN MARBLE HELPPPP PLS
The probability notation for the probability of choosing a green marble is P(G)
What is probability?This is simply defined as the extent to which something is likely to occur.
The probability that an event will occur is given as the ratio of the number of favorable outcomes to the total number of outcomes.
How to determine the probability notationProbability notation is a symbol used in indicating the probability of an occurring event. Since our focus is on the probability of obtaining a green marble, then the probability notation will be P(G). This is illustrated below:
Event of green marble = nGTotal event = nTProbability of green marble = P(G)P(G) = nG / nT
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The heights of the starting players on each of two basketball teams are shown in the table below.
Team A
Team B
Heights of Starters on Team A and Team B
70 in.
71 in.
72 in.
73 in.
75 in.
71 in.
68 in.
72 in.
70 in.
73 in.
Answer:
whats the question? please explain
1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water. Water flows out of the tank at a rate of 4 per minute. At this rate, how long will the tank be completely drained out of water? 80 cm 40 cm 30 cm 1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water . Water flows out of the tank at a rate of 4 per minute . At this rate , how long will the tank be completely drained out of water ? 80 cm 40 cm 30 cm
Answer:
6.34 min to empty
Step-by-step explanation:
80 cm x 40 cm x 30 cm = 96000 cm^3
this volume represents 25.36 gallons of water (US)
25.36 gal / 4 gal/min = 6.34 min to empty
Simplify the following expression to its simplest form
Step-by-step explanation:
[tex] \sin(\pi - x) + \tan(x) \cos(x) (x - \frac{\pi}{2} [/tex]
[tex] \sin( - x + \pi ) + \tan(x) ( \cos(x - \frac{\pi}{2} ) )[/tex]
Sin is odd function, so if you add pi to it, it would become switch it sign.
[tex] - \sin( - x) + \tan(x) \cos(x - \frac{\pi}{2} ) [/tex]
Also since sin is again, a odd function, we can just multiply the inside and outside by -1, and it would stay the same.
[tex] \sin(x) + \tan(x) \cos(x - \frac{\pi}{2} ) [/tex]
Cosine is basically a sine function translated pi/2 units to the right or left so
[tex] \sin(x) + \tan(x) \sin(x) [/tex]
[tex] \sin(x) ( 1 + \tan(x) )[/tex]