The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.

Answers

Answer 1

Answer:

The volume of the prism is x^3 + 16x^2 + 63x

Step-by-step explanation:

Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism

The area of the base is l * w

= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63

The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x


Related Questions

Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.

Answers

Answer:

The necklace will be 4,000 cm long

Step-by-step explanation:

Here we want to calculate the length of the necklace

Mathematically, that would just be the product of the beads and the diameter of each bead

Hence, we have

10,000 * 0.4 = 4,000 cm

If 7^9/7^n = 7^3, then n is___.
12
01
-3
3

Answers

Answer: 6, but it isn't in your answer choices

Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6

Geneva already has $3.00 and earns $2.50 for each chore she completes. She wants to download an album on Apple Music which is at least $17. Write an inequality in terms of c (chores) that represents this situation.

Answers

Answer:

c ≤ 6

Step-by-step explanation:

Lets make our equation!

2.5 per chore thats our slope

+3 she starts with 3 dollars

y = 2.50x +3

Substitute y for 17!

17 = 2.5x +3

Subtract 3!

14 = 2.5x

Divide both sides by 2.5!

x = 5.6

5.6 --> 6

x = 6

Turn it into an inequality!

c ≤ 6

Consider Brainliest! Hope I helped!

Answer to this please!

Answers

Answer:

the answer is 56

Step-by-step explanation:

Answer:

The measure to angle 2 is 44.

Step-by-step explanation:

The segment towards the bottom is a straight line meaning it should equal 180°. 180 - 68 = 112. A triangle should equal 180° as well... so you add 112 to 24, then subtract that value from 180: 180 - 136 = 44

Right answer I’ll give you brainliest!

Answers

Answer:

s=5

Step-by-step explanation:

6s-4=8(2+1/4s) equals to s=5

Answer:

5

Step-by-step explanation:

i hope it's right

(-3.5)(-2) please help :)

Answers

Answer:

7 is the answer

Step-by-step explanation:

Determine the solution to the equation. 8+4x=2x+8+2x

Answers

Answer: x= all real numbers.

Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.

Answer:

8=8

Step-by-step explanation:

8+4x=2x+8+2x

combine like terms

8+4x=4x+8

subtract 4 from both sides

8=8

I HOPE THIS HELPED!!!!

There are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
Anna, Ravi and Sam each take at random one sweet from the bowl.
Work out the probability that the 5 lemon sweets are still in the bowl.​

Answers

Answer:

5

Step-by-step explanation:

Solve for s.
S + 3s - 4 = 16
S =
Submit

Answers

The answer is 5 because 16+4=20 and 3s + s = 4s so you’re left with 4s = 20 and I know that 4 times 5 is 20.
ANSWER: S=5

Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69

Answers

Answer:

Step-by-step explanation:

Since 18,24,36 all three are divided by 6

So option B is the correct option

Chet started to slow his eating speed down later in the evening. He was
now eating only 1/4 of a turkey every 2 hours. What was his unit rate
later in the evening?

Answers

Answer:

The unit rate is:

1/8 turkey/per hour.

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat  175  1/4 of a turkey.

Unit rate basically means 'how much of something per 1 unit of something else'.

A unit rate is a rate with a denominator of  1  unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.

i.e.

[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]

Therefore, the unit rate is:

1/8 turkey/per hour.

9y2 and 9y

like terms or unlike terms

Answers

Answer:

unlike terms

Step-by-step explanation:

since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike

write the equation of the line in slope intercept form

Answers

(Y2-y1)/(x2-x1) is slope equation
Pick any two points (600,0) and (0,-600)
(-600-0)/(0-600) = -600/-600 = 1
y = x + b
Plot the points inside
0 = 600 + b
b = -600
Final equation: y = x - 600

Answer:

y = x - 600

Step-by-step explanation:

y = mx + b , "m" is slope and "b" is y-intercept

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~~~

y-intercept is (0, - 600) and x-intercept is (600, 0)

The slope is 1

y + 600 = x - 0

y = x - 600

Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green.

Answers

Answer:

It is MOST LIKELY NOT going to land on green.

Step-by-step explanation:

Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.

The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]

From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green

Select the correct answer
Which statement is true about the slope of the graphed line?

A the slope is negative B the slope is positive. C the slope is negative D the slope is undefined

Answers

Answer:

the slope is positive B

Answer: The answer is B hope that  helps you!!

Step-by-step explanation:

The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.

Answers

Answer:

the distance for 7 minutes is 210m

the distance for 10 minutes is 300m

the distance for 14 minutes is 420m

the distance for 29 minutes is 600m

Step-by-step explanation:

d=30(7)

d=210

d=30(10)

d=300

d=30(14)

d=420

d=30(20)

d=600

What additional information could
be used to prove the triangles
similar using AA-?

Answers

Answer:

.

Step-by-step explanation:

3. g(x) = -5x
Describe the transformations to the following graph

Answers

Slope is minus 5, use rise/run (-5/1), it goes down for 5 units then goes right one unit or the opposite, it goes up five units the goes left one unit

2/5+4/7 = Simplified

Answers

Answer:

exact form:34/35

Step-by-step explanation: combine the fractions by finding the common denominator i guess

6th grade
Suppose out of 69 restaurant customers last week, two-thirds of the customers returned this week. How many customers returned this week?

Answers

Answer:

46

Step-by-step explanation:

69/3 = 23 (1/3 of the customers)

23×2 = 46 (2/3 of the customers)

what is the slope. please hurry up​

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-1/4-2

m=1/2

During a football game, the parents of the players are selling pretzels and popcorn to make money. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales. They sell twice as many bags of popcorn as pretzels.

Write a system of equations to represent the situation.

How many pretzels did they sell?

Answers

Answer:

The parents sell 48 pretzels.

Step-by-step explanation:

Let a be the number of bags of popcorn sold, and b the number of pretzels sold.

2.5a + 2b = 336

a = 2b

2.5a + a = 336

3.5a = 336

a = 96

b = 48

A band expects to put 15 songs on their next CD. The band writes and records ​60% more songs than they expect to put on the CD. During the editing​ process, ​75% of the songs are removed. How many songs will there be on the final​ CD?

Answers

Answer: 6

Step-by-step explanation:

From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records ​60% more songs than they expect to put on the CD. Therefore, the total songs will be:

= 15 + (60% × 15)

= 15 + (0.6 × 15)

= 15 + 9

= 24 songs.

During the editing​ process, ​75% of the songs are removed. The total number of songs that will be there on the final​ CD will be:

= 24 - (75% × 24)

= 24 - (0.75 × 24)

= 24 - 18

= 6

6 songs will be there on the final CD.

Answer:

21

Step-by-step explanation:

You fottt

julissa gave out an equal number of oranges to each of the 6 apartments on her floor. if she gave each apartment 5 oranges how many oranges did julissa give out in all

Answers

30
She gave 5 oranges to each of the 6 apartments. So multiply, 5x6=30

What is 33.765 rounded to the nearest hundredth?

Answers

Answer:

33.77

Step-by-step explanation:

Colin used 2 gallons of tan paint, 5 gallons of blue paint, and 1 gallon of green paint to paint the rooms in his house. What is the ratio of the number of gallons of green paint to the number of gallons of tan paint that Colin used?

Answers

Answer:

The ration of the number of gallons of green paint to the number of  tan paint Collins used is 1 is to 2

Step-by-step explanation:

The given parameters are;

The number of gallons of tan paint = 2 gallons

The number of gallons of blue paint = 5 gallons

The number of gallons of green paint = 1 gallons

Therefore, the ration of the number of gallons of green paint to the number of  tan paint Collins used = (The number of gallons of green paint Collins used):(The number of  tan paint Collins used) = 1 gallons:(2 gallons) = 1:2

The ration of the number of gallons of green paint to the number of  tan paint Collins used = 1 is to 2.

4.2 Weekend Earnings (Will get brainlyest ¡ please respond)
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
Write an equation that represents Jada’s take-home earnings in dollars, if she works at the bookstore for hours in one day.

Answers

Answer:

Step-by-step explanation:

12.20h-7.15=E

hi i have dis questioonnnnn plz help ;-;

Answers

Answer:

Step-by-step explanation:

10+W=25

Answer:

The First Part would be B and for the W= would be 15 since

25 = 10 + 15, it would also be B because of the order of the numbers.

You could also rewrite it as 10 + 15 = 25.

Step-by-step explanation:

marking brainliest and extra points

Answers

Answer:

B

Step-by-step explanation:

If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4

If an item has an original price of $80 and has been discounted 20%, what is the sale price?

Answers

Answer:

$64

Step-by-step explanation:

Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80

Then we have to find 80% of 80

80%=0.80

0.80*80=64

The sale price is $64

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