24. Woodworking A birdhouse has a square base with
side length 3x - 4. What polynomial in standard
form represents the area of the base?

Answers

Answer 1

Answer:

9x² - 24x + 16

Step-by-step explanation:

Formula for the area of the square base = s²

Where,

s = side length = 3x - 4

Therefore:

Area of the base = (3x - 4)²

Expand

(3x - 4)(3x - 4)

3x(3x - 4) -4(3x - 4)

Apply the distributive property

9x² - 12x - 12x + 16

Add like terms

9x² - 24x + 16

Area of the base in standard form = 9x² - 24x + 16

Answer 2

Answer:

9x^2 -24x +16 units^2

Step-by-step explanation:

(3x-4)^2 = 9x^2 -24x +16


Related Questions

3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?​

Answers

Answer:

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D

A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.

Answers

Answer:

C

Step-by-step explanation:

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show

Answers

The question is incomplete:

An artist pays an art show director $ 86 to reserve a booth at the show and $ 15 per painting sold at the show. Which statement is true?

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

b. The expression 15 p + 86 represents the total number of paintings, p , the artist sells at the art show.

c. The expression 86 p + 15 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

d. The expression 86p+15 represents the total number of paintings, p, the artist sells at the art show.

Answer:

a. The expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

Step-by-step explanation:

With the information provided, you can say that the total  amount the artist pays for selling a certain number of paintings is equal to the result of multiplying the price per painting for the number of paintings plus the amount to reserve a booth at the show. So, the expression that represents this situation 15p+86. According to this, the answer is the expression 15 p + 86 represents the total amount of money the artist pays the art show director for selling p paintings at the art show.

A toy in a toy shop in shape of a triangle pyramid the area of the base of the toys 14 square cm and it's what has a height of 12 cm centimeters what is the volume of the twin cubic centimeters

Answers

Answer:

56cm³

Step-by-step explanation:

A triangular prism also known as tetrahedron is a polyhedron. It consists of  of four triangular faces, six edges and four vertexes

Area of a triangular prism = 1/3 x area of base x height

1/3 x 14 x 12 = 56 cm³

30008876543*98765435678

Answers

I got math error ahhhaha

Math error sorry well good bye to you ma’am

How can I speak to a tutor

Answers

The best way i think is to contact a school counsellor or school staff! Their job is to help you so if you go to your teacher for help they will help you. If you feel more comfortable working with somebody else, talk to a school staff member and they will either find you a peer tutor or a proffesional tutor! Comment me if you need any help with anything!
contact your school!! or maybe online has some good tools :)

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

3 (n + 25) = 50 + 2n

Answer:

3(n + 25) = 50 + 2n

Step-by-step explanation:

5 x 3/5 = 15/5.  Simplify...

3

5(10 + 2/5 n )

50 + 10/5 n

50 + 2 n

Work out the length x.
17 cm
9 cm

Answers

Answer:

14.4222051019 or 14.42

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 9^2 = 17^2

x^2 + 81 = 289

x^2 = 289 - 81

x^2 = 208

x = 14.4222051019 or 14.42

find the value of given expression

[tex] \sqrt{2 - 1} [/tex]

Answers

Answer:

Answer is 1 I hope this help

3. The Isaacs' car can go 30 miles on 1 gallon of gas. Write and solve an equation to
find g, the number of gallons of gas they use driving 450 miles.

Answers

Answer:

450/30 = 15 gallons of gas

Step-by-step explanation:

Write an equation of the line passing through the point (5,8) that is parallel to the line 7x + 5y = 3.

Answers

Answer:

y-8=-7/5(x-5)

Step-by-step explanation:

find the slope by rewriting the line's equation.

5y=3-7x

5y=-7x+3

y=-7/5x +3/5

since its parallel, the slope will be the same (-7/5)

use the formula y-y1=m(x-x1) for the point (5,8)

y-8=-7/5(x-5)

rearrange in the form y=mx+b if you wish.

1. Convert the following temperatures to the celsius scale.
(a) 293 K
(b) 470 K.​

Answers

293k = 293- 273

= 20°C

help me plssssssssssssssssss

Answers

Answer:

kmkioppppppppoiiu yw quip all cm ms all pure 100.00

Please help I really don’t understand this question

Answers

Answer:

I will explain it to you in a jiffy ok? Can you wait a sec

What is the value of x in the figure
below?
PLEASE I AM BEGGIN YOU

Answers

There no figure....
Attach it

This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question.

Answers

Answer:

a = 21 - 8

Step-by-step explanation:

to determine the number of apples in each basket, first determine the total number of fruits in each basket and subtract it from the number of oranges in each basket

number of fruits in each basket = 168 / 8 = 21

a = 21 - 8

Eveline made a scale drawing of a patio she is planning to build

1 cm: 2.5 m

A: 12 cm

C: 13 cm

B: 5 cm

Which proportion could Eveline use to find the length of side A?

Answers

Answer:A 12 cm

Step-by-step explanation:

because 5 rounds 2 to 3 and 3 divdied by 12 is 4 sinbce it is equal.

A line with a slope of 1 passes through the point (8,6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1(x-8)

y-6=1x-8

y=1x-8+6

y=1x-2

Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?

Answers

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub =  6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²

How many 3/4s are in 2

Answers

How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Answer:

2

Step-by-step explanation:

If you do three you get more than two

Determine the y intercept

Answers

Answer:

y intercept is 4

Step-by-step explanation:

Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading? (SHOW YOUR WORK PLEASE!! I WILL GIVE BRAINLIEST TO BEST ANSWER WITH EXPLANATION BUT I NEED 2 PEOPLE TO ANSWER TO DO THIS)

Answers

Answer:

1 hour and 43 minutes or 103 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so from 10 am to 11 am is 60 minutes. The additional 43 minutes need to be combined with the 60 minutes, which will give you 103 minutes.

Answer:

1 hour and 43 minutes

Step-by-step explanation:

10:00am+ 1 hour = 11:00 am

11:00 am + 43 minutes = 11:43

Hope this helped!! :3

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

what problem can be solved using 3/5 divided by 5/8

Answers

Answer: 24/25

Step-by-step explanation:

= 3/5 ÷ 5/8

= 3/5 × 8/5

= 24/25

Whoever gets the question right I will mark as brainliest

Answers

Calculate volume of the prism

20 × 12 × 15

= 3600 in³

divide volume of prism with volume of container

3600 ÷ 400

= 9

9 times

The marked price of a refrigerator is $1660. John has a coupon for 15% off. Find the selling price of the refrigerator with the coupon

Answers

Answer:

$1411

Step-by-step explanation:

(15÷100)×1660=249

1660-249=1411

Answer:

answer is $1411

Step-by-step explanation:

discount=100%-15%=85%

10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15

Answers

Answer:

A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of

change than Ryan's function indicating that Daniel can pack more boxes per hour.

Step-by-step explanation:

Given

Ryan: 3 boxes per hour

Daniel: [tex]y = 4h[/tex]

Required

True statement about their functions

First, we calculate Ryan's function.

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation is:

[tex]y = 3h[/tex]

So, we have:

[tex]y = 3h[/tex] ---- Ryan

[tex]y = 4h[/tex] --- Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.

I need help what’s the answer!!

Answers

You're right, 20 is correct

20 x 20 x 20, aka [tex]20^3[/tex] = 8000,

so [tex]\sqrt[3]{8000} = 20.[/tex]

Only questions 2, 3, 6, 11, 12, 13 fifth grade

Answers

Answer:

zoo wee mama

Step-by-step explanation:

2-8.172                                                                                                                         3-172 r1                                                                                                                      6-1.04                                                                                                                         11-5/2                                                                                                                        12-1 1/2                                                                                                                       13-16 1/3                                                                                                                       yw!

How many integers satisfy each inequality?
-102

Answers

Answer:

4

Step-by-step explanation:

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