A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid

Answers

Answer 1

Answer:

l³+3l - 20 = 0

Step-by-step explanation:

Given the volume of a prism expressed as;

V = lwh

l is the length of the prism

w is the width

h is the height of the prism

Since the prism is square based, l = w

The formula becomes

V = l²h

If its height is 3 yards longer than a side of its base, then h = l+3

V = l²(l+3)

V= l³+3l

Given V = 20yd³

The expression becomes

20 = l³+3l

l³+3l - 20 = 0

Hence the representative function for the volume of the solid is l³+3l - 20 = 0


Related Questions

what is the explicit rule for 64,67,70,73,76​

Answers

Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

I need to pick up my work order and then I’ll send you the information

Your bank account balance is $46.74. You deposit $60.86, then withdraw $134.70. What is your new balance?
Solve to get points!

Answers

Answer:

The answer is 6/3>2/3

Is Figure B a scaled copy of Figure A? Explain how you know.

Answers

Answer:

yes

Step-by-step explanation:

Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )

Answers

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

A bee colony is experiencing an colony collapse disorder. In 2 days (t = 2), there are 1,500 bees left in the colony, and in 6 days (t = 6), there are 400 bees left. Find the exponential model y = aeb that fits the bees population decline.​

Answers

Answer:

oh yayay accountiationasionisiation is the longest word that a loooot of peple kno

Step-by-step explanation:

Which expression is equivalent to 1/4 - 3/4x

Answers

Answer:

-3/4x + 1/4

Step-by-step explanation:

What is the measure of angle RST?
a. 87
b. 131
c. 93
d. 90

Answers

Option c. 93°.

Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.

What is the measure of ∠ RST?

Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.

Learn more about the angle at

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A square target is shown. A dart is dropped randomly onto the target. The dart is equally kely to hit any spot on the target
18 cm
3 cm
18 cm
3 cm
not drawn to scale
What is the probability that the dart will hit a spot in the shaded square?
och
D

Answers

Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The area of the dark area = 3cm × 3cm = 9cm²

The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²

Now, the probability that the dart will hit a spot in the shaded square will be,

Probability = 9 / 315 = 0.028

Hence, the probability that the dart will hit a spot in the shaded square is 0.028.

Learn more about Probability:

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WEEEEEEEEEEEEEEEEEEEEEEE

isabelrainbow ur the best person in the world tysm i will remember u when i fail i swear :) jk UR THE BEST THO TYSM

Answers

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

the answer is 20 because 10 plus 10 a

Solve the triangle. Round your answers to the nearest tenth.

Answers

Answer:

A

Step-by-step explanation:


Which is an equivalent equation solved for t?
O te fry
O tufa
O t= a(f - V)
O t = v(f – a)

Answers

Answer:

[tex]\dfrac{v-u}{a}[/tex]

Step-by-step explanation:

The given equation should be:

v = u +at ...(1)

Where

u is initial velocity, v is final velocity, a is acceleration and t is time

We need to solve the above equation for t.

Subtract u from both sides.

v-u= u +at -u

v-u=at

Dividing both sides by a.

[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]

So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].

need help asap please​

Answers

Answer:

c=7.17

Step-by-step explanation:

23=6c-20

43=6c

7.17=c

Answer:

7.16

I think this is correct

A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
A) 180°
B) 540°
C) 720°
D) 1440°​

Answers

Answer:

B

Step-by-step explanation:

The sum of four consecutive integers is -26. What are the integers? A book has pases. ​

Answers

Answer:

In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.

Step-by-step explanation:

HELPP ME I JUST HAVE A 67 IF I GET THIS ONE WORN GI HAVE A 50 AS A GRADE PLEASEE

Answers

Answer:

4,000 cm

Step-by-step explanation:

10,000 x 0.4

just do 10,000 x 4

(40,000)

and then move the decimal point one space to the left

(4,000)

The answer is 4000

10,000*0.4=4000

Which of the following expressions are equivalent to -5+7- (-3)?
Choose 2 answers:

Answers

Answer:

Step-by-step explanation:

-5+7- (-3)=

=-5+7+3=5

Solve; 2304 divided by 6

Answers

Answer:

your answer is going to be 384

If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how you got your answer )

Answers

Answer:

he is at -3

Step-by-step explanation:

On a number chart, If he goes 3 left hes going 3 negative. So it would be -3

I hope this helps!

Answer:

-2

Step-by-step explanation:

You subtract 3 from one

First jump 0

Second jump -1

Third Jump -2

Need help on this asap please

Answers

Answer:

the second one

so B

Step-by-step explanation:

Answer:

3.15=315% is true

Step-by-step explanation:

The last one D is true

I hope this helps. Best of luck

The difference between 31 and a number is 7

Answers

Answer:

thirty-eight

Step-by-step explanation:

31+7= answer

Answer:

i think its either 38 or 24

Step-by-step explanation:

Solve equation 3x^2-4x=7 by completing square

Answers

Step-by-step explanation:

3x2-4x-7=0(3x-7)(x+1)=03x-7=0 and x+1=0x=7/3 and x=-1

Which has the greatest variance?
{5,5,5,5,5)
{1, 1, 1, 1, 21)
{1,3,5,7,9)
{3,4,5,6,7)

Answers

Answer

1,3,5,7,9

Step-by-step explanation:

The tallest man in the world is about 101 inches tall. The shortest man in the world is about 29 inches tall. How much taller is the tallest man than the shortest man?

Answers

Answer:The tallest man is 72 inches taller than the shortest man.

Step-by-step explanation:

Subtraction:

101in-29in=72inches

Answer:

72 inches taller

Step-by-step explanation:

29in+x=101x=101-29x=72

If Johnny has 2 apples and give 1 to Sally how many does Johnny have left?

Answers

Johnny has 1 apple left.

x+2y=0
4x+3y=1
What's the solution

Answers

Answer:

4x+3y=1

answer is y=-4/3x+1/3

A boat is on the same horizontal level as the foot of a cliff and the angle of depression of the boat 30 degree. If the boat is 120m away from the foot of the Cliff, find the height of the Cliff to 3 significant figures​

Answers

Answer:

69.282 m

Step-by-step explanation:

We can use the trigonometry of right triangles to solve this, since we are in the presence of a right triangle with acute angle 30 degrees, opposite side unknown (the vertical height of the cliff), and adjacent side equal to 120 m.

we use the tangent function to solve for the unknown, as shown below:

tan(30) = x/120

x = 120 * tan(30) = 69.282 m

Which set of ordered pairs could NOT represent a function?

a.) (1, 1), (2, 2), (5, 5), (7, 7), (13, 13)
b.) (1, 5), (2, 6), (3, 6), (4, 5), (5, 4)
c.) (2, 3), (3, 4), (2, 5), (5, 6), (2, 7)
d.) (3, 2), (2, 1), (4, 3), (5, 4), (6, 0)

Answers

C does not represents a function

Answer:

B  (1, 5), (2, 6), (3, 6), (4, 5), (5, 4)

Step-by-step explanation:

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined write a system of equations that represents this situation

Answers

Answer:

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Step-by-step explanation:

Giving the following information:

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.

We need to establish a system of equations that represents this situation.

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Now, we can determine the x and y:

x= 20 - y

Substitute x:

1.75*(20 - y) + 2.5y = 45

35 - 1.75y + 2.5y = 45

0.75y = 10

y= 13

x= 20 - 13

x= 7

Prove:

1.75*7 + 2.5*13 = 45

7 + 13 = 20

i dont really understand this :(​

Answers

Wouldn’t is be 48+3f sorry I haven’t done this in a while so I’m not 100% sure

y=−34x 2 +1542x−10037

Answers

Answer:

10105

1542

Step-by-step explanation:

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