Mathematics High School

The volume of a rectangular prism, in cubic inches, is given by the expression
x^3+3x^2-4x+7. The volume of the smaller prism is given by the expression
5x^3-6x^2-6x-17. How much great is the volume of the larger rectangular prism is than the smaller prism?

Answers

Answer 1

Answer:

-4x³ + 9x² + 2x + 24

Step-by-step explanation:

To find how much great is the volume of the larger rectangular prism  than the smaller prism, we need to subtract

Volume of larger rectangular prism - Volume of smaller prism =

= x³ + 3x² - 4x + 7 - (5x³ - 6x² - 6x - 17)

To remove the parenthesis,multiply each term of the smaller prism by (-1)

= x³ + 3x²- 4x + 7 - 5x³ + 6x²  + 6x + 17

= x³  -5x³ + 3x² + 6x² - 4x + 6x +7 + 17      {Combine like terms}

= -4x³ + 9x² + 2x + 24

Related Questions

Which statement below accurately describes the data in the table?
A)
More than 75% of the students prefer Alternative or Hip Hop music.
B)
40% of students prefer Hip Hop.
C)
The mode of the data is Alternative Music,
D)
More than 25% of students prefer Country or Rock Music.

Answers

Answer:

The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.

Step-by-step explanation:

what is the square root of 30​

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

how do I solve this and what steps do I take to solve it

Answers

Answer:

122.46 mi^2

Step-by-step explanation:

IF ans is correct comment back for explanation

140% of 60. can someone explain????​

Answers

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

Answer:

84

Step-by-step explanation:

We can use a proportion to answer this question.

On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)

On the right side we can put the numbers. x is the 140 of 60, while 60 is the

100%

140: 100 = x : 60

For find the x we have to multiply 60 and 140 and divide the result for 100

x = (60*140)/ 100 = 84

HELPPPP
What is the value of x in the figure at the right?

Answers

Answer:

B) 24

Step-by-step explanation:

This angle adds to 90 degrees, so to solve for x you need this equation:

(2x) + 42 = 90

Subtract 42 from both sides to get:

2x = 48

Divide 2 from both sides to get:

x = 24

Hope it helps!!!

9. An object that has traveled 400 km in 50 hours, what was the average speed?

Answers

Answer:

its 8

Step-by-step explanation:

Divide 400÷50

Russel has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell's collection are dated after 2000?

A. 480


B. 720


C. 40


D. 60

Answers

Answer:

D. 60

Step-by-step explanation:

Add the percentages of 25% and 35% and you'll get 60.

Answer:

A 480

Step-by-step explanation:

in 2000=480 i don't know how to farther explain it to you.hope that helps.

what is the same as 8/9?​

Answers

Answer:

8×1/9

Step-by-step explanation:

It is same as 8/9 because 8×1=8

Help W algebra!!(logs!)

Answers

$2,029.50 is the answer

PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ​
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Can you make a different question with an image attached?

We need the picture to see the shaded regions

Can you guys help with the exercise?

Answers

yeah just don’t be fat

what theorem is this
sss,sas,asa,aas,hl, or not enough info​

Answers

ASA - verticals angles are equal, two sides are equal, and two other angles are marked equal

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

It is correct

Yes It is correct just checked !

What's 8x3 please help me.

Answers

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will play on the same day.

Answers

24...

8x3=24

6x4=24

Thats the soonest theyll play together.

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

find food that’s far away! sharks are very good at that
answering so other person can get brainliest

y Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly

Answers

Answer:

358 people

Step-by-step explanation:

Prove: The diagonals of a square are perpendicular.

Answers

Answer:

Step-by-step explanation:

Slope of AC= (a-0)/(a-0) = 1

Slope of BD = (0-a)/(a-0) = (-a)/a =-1

Slope of AC x Slope of BD =1 x -1 = -1

Therefore AC perpendicular to BD

X = y - 3
2x + y = 12
pls hurry i need badly

Answers

[tex] \huge \colorbox{yellow}{Question}[/tex]

[tex]x = y - 3[/tex]

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

[tex]x = y - 3[/tex]

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]

y = 6

x = 3

The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.

Answers

Answer: 1,257.14 ft

Step-by-step explanation:

The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.

The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.

The number of feet of flowers to be planted is therefore the circumference.

Circumference = π * diameter

= 22/7 * 400

= 1,257.14 ft

help me pls i give brainliest

Answers

Answer:

Decreased I think because they bumped into the other person

Step-by-step explanation:

Answer:

increased

 i just heard my brother say it because he's in highschool. TwT

What is the measure of the unstable Angle of the triangle below?
Options:
A- 90
B- 82
C- 98

Answers

The best answer to go with is b

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

Can someone please help me with math.

Answers

2) is C 7$ because 43- 5(3)=28
28/4=7

_____X^2+10x+10_____

Answers

The problem in the picture would be
x^2+10x+21


Please help me I’ll mark brainliest:)

Answers

answer: x=5

explanation: use the pythagorean theorem.
13^2=12^2+x^2
169=144+x^2
25=x^2
x=5

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

What is the sign of - 4x .y. 06 when X and Y are positive numbers?
Choose 1 answer:

A.Positive
B.Negative
C.Zero

Answers

Answer:

Step-by-step explanation: ZERO

A 10 ft. tree casts a 14 ft. shadow. If a building casts a 280 ft. shadow, how tall is the building?

Answers

Answer: The building is 200ft tall

Explanation: if you Set up a ratio.
10 is to 14 as x is to 280.

HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero

Answers

Answer:

B

Step-by-step explanation:

its undefined because 3/0.

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