The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)

We know that the area of a semicircle = 1/2(πr^2)

r = the radius

We also know that the area of a rectangle = xy

x = width

y = length

In our problem,

r = w

x = w

y = w + 5

A(w) = w(w + 5) - 1/2(πw^2)

Let's simplify the right side of the function.

A(w) = w^2 + 5w - 1/2πw^2

Question 4
3 pts
James wants to estimate the sum of 3,68 and 4.24. He decided to estimate 3
different ways. What is the estimate for each way that James used?
Estimate to the nearest whole:
Estimate to the nearest half
Estimate to the nearest tenth:

2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power

An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.

Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?

PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b

5w +3w=40 simplify your answer as much as possible

ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises

5+3(-x-9)+ 4x – 2(5x-1)

if it is 9:39 what time would it be a hour and a half later

Solve for x.

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

x = [?]​

A line has a rise of 6 and a slope of 1/20.

Find the run of the line. Type a numerical answer in the space provided.

Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

HELP ASAPPP PLEASE HELPPPPPPP

Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)

A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months ( ) m does the zookeeper need to wait for the two snakes to be the same length? a. Write the question or problem statement for the situation. _______________________________________________________________________________ _______________________________________________________________________________ b. Write the general form of the equation. _______________________________________________________________________________ c. Write the verbal and variable expression for the left side of the equation. _______________________________________________________________________________ d. Write the verbal and variable expression for the right side of the equation. _______________________________________________________________________________ e. Write the final algebraic equation with variables on both sides. Include what the variable represents in the problem. Include appropriate units. ____________________________________________________________

Each team earns 1 point for each person who participated in the track-and-field day. Who wins the meet---the eighth graders or the seventh graders?

Find the approximate side length of a square game board with an area of 161 in?

Hi help me please I don't know how to do it "using the formula evaluate (87)^2" ​

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

1.Estimate square root 3

Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.

Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2

You have $60 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=60 + (25+ 8)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?

PLS HELP, a group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket​

2x – 10 = 1/2(x – 8)

(m • n) • p=m • (n • p)
what property is this

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 +

2.
Write an equation in point-slope form of the line that passes through the points (-2, 4) and (6,-4)

The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h