Find an expression to represent the
volume of the rectangular prism below,

Find An Expression To Represent Thevolume Of The Rectangular Prism Below,

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]volume=\frac{x^{2} +11x+30}{x^{2} +7x+6} \times \frac{3x}{8} \times \frac{x^{2} -1}{6x^3+30x^{2} } \\=\frac{x^{2} +6x+5x+30}{x^{2} +6x+x+6} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{x(x+6)+5(x+6)}{x(x+6)+1(x+6)} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{(x+6)(x+5)}{(x+6)(x+1)} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{x-1}{16x}[/tex]


Related Questions


Ms. Sherwood surveyed 250 people,
how many people chose black as their
favorite car color?

Answers

Answer:

should be 70!!!!!!!!!!!!!!

Answer: 70 people

Step-by-step explanation:

28% of 250 is 70

2 over 5 + 2 over 15

Answers

Answer:

8/15

Step-by-step explanation:

2/5 + 2/15

Get common denominator

6/15 + 2/15 = 8/15

Answer:

8/15

Step-by-step explanation:

2/5 + 2/15 =

You need a common denominator. The LCD of 5 and 15 is 15.

= (2 * 3)/(5 * 3) + 2/15

= 6/15 + 2/15

= 8/15

If

Answers

Answer:

If.

Step-by-step explanation:

The end :-)

Answer:

If (extended version)

Step-by-step explanation:

yes

What is the probability of drawing a queen or a heart from a standard deck of 52 cards?
Reminder: the four card families

Answers

Answer:

13 hearts, plus 3 other queens- so 16 out of 52, simplified 4 out of 13.

The diameter of a circle is 18 m. Find its circumference in terms of \piπ.

Answers

Answer:

18π

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 10(10x - 4).

Answers

Answer:

100x-40

Step-by-step explanation:

10*10x and  10* -4

What is the distance between (4, 7) and (-8, 3)? Round to the nearest tenth.

Answers

Answer:

The distance is approximately 12.6.

Step-by-step explanation:

Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4.  Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.

This distance, from the Pythagorean Theorem, is

d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.

The desired distance is approximately 12.6.

help, if someone could give the answer or explain how to solve this
it would be nice, thank you

Answers

D is 90 because it is perpendicular.
D is 90 because it is perpendicular angle this it is 90

The ratio to dogs to cat in a pet store is 5:2. The ratio of cats to rabbits in the pet store is 2:1. If there are 3 rabbits in the pet store, how many more dogs are there than rabbits?

Answers

Answer:

4

Step-by-step explanation:

I don't understand how to do this. please help. ​

Answers

Answer:

use the formula to find area, then multiply by the leingth, so 18 in your case. Also, the formula for area is A=(pi)r squared

Step-by-step explanation:

hope this helps

Answer:

B. 3,052.08

Step-by-step explanation:

Radius:

r=d/2

r=18/2

r=9

Volume of Sphere:

V=(4/3)π[tex]r^{3}[/tex]

V=(4/3)(3.14)[tex]9^{3}[/tex]

V=(4/3)(3.14)729

V=(4/3)2289.06

V=3052.08

If this helped you, pleas consider giving a good rating, a thanks, and brainliest! Thanks!

PLEASE HELP ILL MARK BRAINLIEST

Simplify the expression.
(a + 2b)3 – 3a

Answers

Answer:

The answer is 6b

Step-by-step explanation:

1) Regroup terms.

[tex]3(a + 2b) - 3a[/tex]

2) Expand by distributing terms.

[tex]3a + 6b - 3a[/tex]

3) Collect like terms .

[tex](3a + 3a) + 6b[/tex]

4) Simplify.

[tex]6b[/tex]

Therefor, the answer is 6b.

Hiiiooo! Can someone please help me out❤️ Much love❤️❤️

Answers

the segment opposite is AC

Answer:

ac is the opposite of cb or bc


LN
and
OQ
are parallel lines.


Which angles are corresponding angles?

Answers

well it depends on which one you are talking about fb or dc

Helppppp i need help ASAP

Answers

Answer:

a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour

What is the x intercept of the graph of -4x = -20?

Answers

Answer:

x=5

Step-by-step explanation:

The x - intercept of the graph of the expression is (5, 0).

We have the following expression -

- 4x = - 20

We have to find the x - intercept of the graph of this expression.

What is the Slope - intercept form of the equation of a straight line ?

The Slope - intercept form of the equation of a straight line is as follows-

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

- 4x = - 20

x = 5

Hence, the x - intercept of the graph of the expression is (5, 0). Refer the graph attached in the end.

To solve more questions on Axis intercepts, visit the link below -

https://brainly.com/question/17029390

#SPJ2

Question 4.

Solve 3y – 2 > 5

Answers

Answer:

[tex]y>\frac{7}{3}[/tex]

Step-by-step explanation:

Solving an inequality is a lot like solving an equation, one uses inverse operations. The major difference between solving an inequality and an equation is that when one multiplies or divides by a negative number, then one must remember to flip the inequality sign, such a rule doesn't come into play in this case.

3y - 2 > 5

Inverse operations,

3y - 2 > 5

     +2    +2

3y > 7

/3   /3

[tex]y>\frac{7}{3}[/tex]

Find the x- and y-intercepts of the graph of -6 + y = 20. State your answers as
whole numbers or as improper fractions in simplest form,

Answers

Answer:

y=26 (no x ) the y int is 26 I believe

Step-by-step explanation:

pls help me ill mark you brainliest and show your work please

Answers

Answer:

Infinately many solutions.

Step-by-step explanation:

2x-4=2(x-2)

Distribute

2x-4=2*x-2*2

2x-4=2x-4

Since both sides are the same, there are infinately many solutions.

Hope this helps!

Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28. If the sweater is marked down 30% and the jeans are marked down 15%, find the total cost, including 8% sales tax.

Answers

Answer:

$63 when you add them both together. I don't know how to do the other part, but I know you should find the percenatge. The first is to multiply 63 * 100/1

Step-by-step explanation:

Answer:

52.164

rounded it is equal too 52.16

Sal is mailing 5 identical packages. each package has a mass of 6 kilograms.

What is the total mass of all 5 packages


(this is from iready)

Answers

Answer:

30 kilograms

Step-by-step explanation:

5(6) = 30 kg

Answer:

The answer would be 30kg

Step-by-step explanation:

5x6=30

x^2-6x=b, make x the subject

Answers

Answer:

x =  3 ±√(b + 9).

Step-by-step explanation:

We use Completing the Square:

x^2 - 6x = b

(x - 3)^2 - 9 = b

(x - 3)^2 = b + 9    Taking square roots of both sides:

x - 3 = ±√(b + 9)

x =  3 ±√(b + 9).

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Answers

Answer:

f(x) = [tex]\frac{1}{7}(x+5)(x-1)(x-4)[/tex]

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = [tex]\frac{2}{14}[/tex]

p = [tex]\frac{1}{7}[/tex]

Therefore, equation will be,

f(x) = [tex]\frac{1}{7}(x+5)(x-1)(x-4)[/tex]

The ratio of green bags to white bags in the store is equal to 2 to 5.There are 30 white bags in the store how many green bags are there?

Answers

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

I NEED HELP WITH MATH CAN ANYONE HELP!!!

Answers

Answer:

ummmmmmmmmm I can try c:

Answer:

YES MAM , WHAT SEEMS TO BE THE PROBLEM < BECAUSE I DONT SEE ONE

Step-by-step explanation:

What is the lateral area of this regular octagonal pyramid?

A. 114.8 cm²

B. 162.4 cm²

C. 229.7 cm²

D. 281.3 cm²

Answers

Answer:

229.7

Step-by-step explanation:

8 * 1/2 * 5.8 * 7 * sqrt(2.)

The answer is 229.7 cm²

Which values are solutions to the inequality below?
Check all that apply.
X < 9 HELPPP MEEE PLSSS

Answers

Answer:

is 5 i hope it helps

Step-by-step explanation:

okay remember that this < stand for less numbers

Answer:

80, 75

Step-by-step explanation:

[tex]\sqrt{x}[/tex] < 9

x < 9²

x < 81

Thus, 8 is lesser than 81. 80 and 75 are the only numbers lesser than 81 so they are the answer.

The measure of an angle is 15 more than twice its supplement. Find the measure of the angle.

Please include an explanation if you could! :)

Answers

9514 1404 393

Answer:

  125°

Step-by-step explanation:

Let x represent the angle in degrees. Its supplement is (180-x) degrees. The given relation is ...

  x = 15 +2(180-x)

  x = 375 -2x . . . . simplify

  3x = 375 . . . . . . add 2x

  x = 125 . . . . . . . divide by 3

The measure of the angle is 125°.

please solve this ..​

Answers

Answer:

3×81^x=9^{x+4}

since power of no is multiplied to its remaining power

3×3^4x=3^2{x+4}

if there is like terms then power is added

3^{1+4x}=3^{2x+8}

if there is like terms then power can be compared

so{1+4x}={2x+8}

1+4x=2x+8

4x-2x=8-1

2x=7

x=7/2 is your answer

Phil left an estate valued at 140,000. In His will, he specified that his wife will get 25% more of his estate than his daughter. How much will his wife recieve?

Answers

Answer:

77,777.78

Step-by-step explanation:

The computation of the amount that would be received by his wife is shown below:

Let us assume the daughter would received x

So his wife would received 1.25x

The total estate value is 140,000

Now the equations would be

140,000 = x + 1.25x

140,000 = 2.25x

x = 62,222.22

So his wife would received

= 62,222.22 × 1.25

= 77,777.78

The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
y= 3/8x

The constant of proportionality is ___. ​

Answers

Answer:

y= 7/3

Step-by-step explanation:

Other Questions
Solve and show work.1. x^2 + 3x - 4 = 02. 2x^2 - 4x - 3 = 03. x(x - 2) = 44. 9x^2 + 12x + 4 = 05. x^2 + 2x = 1 label the sun. which layer of the sun is #6? Which of the following functions is graphed below ? CAN SOMEONE PLEASE HELP ME WITH ITS FOR HISTORY!?:) my momma don't like you she like everyone else Please help me I really need these to be answered. Whoever does it gets 100 points! answer for combining A and B A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 14$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options? what are the major elements of market management? list them in 5 points. last year, 15 dogs entered the local dog show. this year, 27 entered. what is the percent increase? The kinetic molecular theory explains the expansion of a solid material with increases of temperature as basically the result of $1,300 at 5% for 6 years in Lincoln's letter to his son's friend, what does Lincoln offer George? * 3The grid shown below is in the shape of a rectangle.What is the area, in square units, of the shaded part of the rectangle?.14B2428D48 Need help pls help me the developing human is fed in the woman's womb throughA.Mammary gland B.PlacentaC.Uterus. D.Bladder y= -0,5x 2y= 1,5x + 8 Which of these is a carbohydrate?1. C6 H12 O62. C6 H6 O123. C6 H13 O2 N4. C3 H7 O2 Ns How many sixths are in two-thirds? A scientist discovers that a strand of DNA is 20% Guanine and 30% Adenine. What percent ofCytosine and Thymine will it contain?