What is the value of Y of a triangle with
3y+13
5y-5
2y+2

Answers


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At a trampoline park jumpers pay a jumping price p per hour and a one time sock fee 8 which expression represent the cost for 5 friends to jump at the trampoline park for 1 hour​
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The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
80% of what number is 35.
Angelica is working on function machines. She has two machines g(x)=square root x-5 and h(x)= x^2-6. she wants to put them in order so that the output of the first machine becomes the input of the second. she wants to use a beginning input of 6.a) in what order must she put the machines to get a final output of 5.b)is it possible for her to get a final output of -5? if so,show how she could do that. If not explain why not.PLEASE HELP!

(y 3 - 125) ÷ (y - 5)

Answers

Hello,

We suppose y ≠5
(y^3-125)/(y-5)=((y-5)(y^2+5y+25))/(y-5)=y^2+5y+25


Last year,Mark was 46 inches tall.This year,Marks height is 3 inches less than peters height.Peter is 51 inches tall.How tall is mark?Write an equation to represent the situation.
Then solve the equation to answer the problem

Answers

51-3=x (Mark's height)
 He is 48 inches tall.
12 in = 1 ft
46 / 12 = 3 r 10 in - last year

51 / 12 = 4 r 3 in
hope that helps

Round the answer to the nearest cent.

5% tax on $20 is $

Answers

5% tax on 20 dollars.
First let's convert 5% to decimal
=> 5% / 100 = .05
Next is to simply multiple 0.05 to 20 dollars
=> 20 * .05 = 1 dollar.
Thus. the 5% of 20 dollars is 1 dollar.

If there is 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left after 32 hours and is the radioactive decay modeled by a linear function or an exponential function?A. 22.5 grams; linear

B. 22.5 grams; exponential

C.45 grams; linear

D. 45 grams; exponential

Answers

B.) 22.5 GRAMS, EXPONENTIAL

32 hours ÷ 8 hours = 4

The radioactive material will half 4 times.

360 x (1/2)⁴ = 22.50

360 x 1/2 = 180
180 x 1/2 =   90
  90 x 1/2 =   45
  45 x 1/2 =   22.50

Answer:

B. 22.5 grams; exponential .

Step-by-step explanation:

We have been given that there is 360 grams of radioactive material with a half-life of 8 hours.

As amount of radioactive material remains 1/2 of the amount after each 8 hours, therefore, our function will be an exponential decay function.

We will use half-life formula to solve our given problem.          

y=a*((1)/(2))^{(t)/(b)}, where,

a=\text{Initial value},

t=\text{Time},

b=\text{Half life}.

Let us substitute a=360 and b=8 in half life formula to get half life function for our given radioactive material.

y=360*((1)/(2))^{(t)/(8)}, where y represents remaining amount of radioactive material after t hours.

Therefore, the function y=360*((1)/(2))^{(t)/(8)} gives the half-life of our given radioactive material.

Let us substitute t=32 in our half life function to find the amount of material left after 32 hours.

y=360*((1)/(2))^{(32)/(8)}

y=360*((1)/(2))^(4)

y=360*(1^4)/(2^4)

y=360*(1)/(16)

y=22.5

Therefore, the radioactive material will be left 22.5 grams after 32 hours and the radioactive decay is modeled by an exponential function and option B is the correct choice.

The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle​

Answers

Answer:

49 pi in^2 or approximately 153.86 in^2

Step-by-step explanation:

A = pi r ²

Let r = 7

A = pi 7 ²

A = 49 pi

If we approximate pi by 3.14

A is approximately 153.86 in^2

The answer is about 153.938

A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?Group of answer choices

Answers

There are 40 slices pratap and 25 kids. 40/25 is 1.6 meaning each student can only get one slice because not everybody could get two
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