The volume of an Amazon package is given by the function below.

8x^3+30x^2+13x−15


A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?

B. Using the volume formula, find the height of the package. (V=lwh)

Please show work

Answers

Answer 1

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]


Related Questions

The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.

Answers

Answer:

59? Is it H = 59?

Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Which
function can be used to find y, the total charges at this gym for x months?
Fy= 45x +39
Gy=6x +39
Hy=39x +6
jy=39x + 45

Answers

Answer: Its 39x + 45

Step-by-step explanation:

yes

please help with the question and explanation for the answer, please

Answers

Answer:

B

Step-by-step explanation:

to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps

Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights

Answers

Answer: 24 1/2

Step-by-step explanation:

what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...

Answers

Answer:

C≈87.96

r Radius 14

Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75

Answers

Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99

hope this helps :)

Answer:

the answer is c,   8.50

Step-by-step explanation:

11x + 18 = 172 not a test i need the right awnser

Answers

Answer:

x=14

Step-by-step explanation:

11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14

NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)

Answers

Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is [tex]A = \frac{ab}{2}[/tex]  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?

Answers

A sphere ms.gurl ya welcome

Answer:

The sphere and the cylinder

Given 3m+6n-6 when m=4 and n=3. I need help with this

Answers

Answer: 24

Step-by-step explanation:

Since we are given the value for m and n, we can plug them in and solve the expression.

3(4)+6(3)-6          [multiply]

12+18-6                [add]

30-6                     [subtract]

24

Now, we know the value of the expression is 24.

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A and C

At $1.47 per gallon of gas, what is the cost of 15 gallons?

Answers

Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

i need help with this, anyone wanna help?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

) and B=(3,−2)≡(x  

2

,y  

2

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

+x  

2

 

) and  y=(  

2

y  

1

+y  

2

 

)

Then, x=  

2

1+3

and y=  

2

2−2

 

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3

Answers

I think 28fa haha s an

Solve
Log(x-1)+log(2)=7

Answers

Answer:

x is 6 i believeee if you're solving for x!!

Step-by-step explanation:

Answer:

x = 1 + 0.5 * 10^7

Step-by-step explanation:

Use log(a) + log(b) = log(ab).

log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7

Using log(a) = b <=> a = 10^b

log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7

The sum of two numbers is 52. The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer:

42?

Step-by-step explanation:

Just because 52-10 is 42..but thats to simple

Answer:

5.20000

Step-by-step explanation:

           25

Simplify   ——

           5

HELP ME PLEASEEEEEEEE

Answers

Answer:

2/3 more pizza

Step-by-step explanation:

because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)

You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.

Answers

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

Hey I need some help :)

Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.

Answers

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

Sara had 40 candies. She wanted to give to her friends. She each gave her friends 10 candies each. How many friends does she have??

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 4 is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

Answer:

4 friends

Step-by-step explanation:

Need help please thank you

Answers

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

I grew with the other comment have a great day whoever sees this!! :)))

Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?

Answers

Answer:  14% refused the offer.

Step-by-step explanation: Divide the number of refusals by the total sent.

35/250 = 0.14 Then multiply by 100 to change from decimal to percent.

The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)

0.14 × 100 = 14.  So the answer is 14%

How is the Pythagorean theorem related to the distance formula?Explain.

Answers

Answer:

If you plot 2 points on a graph right, you can form a triangle between the 2 points. You can determine the legs's sizes using the coordinates of the points. Pythagorean theorem is then used to find the hypotenuse, which IS the distance from one point to the other. Hope that helps.

Step-by-step explanation:

Answer:

Sample Response: Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The 

Step-by-step explanation:

ill offer 50 points plus 30 points for all of this

Answers

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

(Please help me with this one it is due in ten minutes :'(

A snail is trying to get to the other side of a park. At what rate is the snail moving?

A) 1/2 foot per minute
B) 1 foot per minute
C) 1 1/2 feet per minute
D) 2 feet per minute

Answers

Answer:

I think the answer is C

Step-by-step explanation:

First you need to find 2 coordinates on the graph. (2,3) (4,6)

Use the formula M= y2-y1 ÷ x2-x1

Then m= 6-3 ÷ 4-2

Then m= 3÷2 = 1.5

So the slope should be 1.5 or 1 1/2

There are 80 pupils in a school. If 32 are boys, what percentage are boys?

Answers

Answer:

40%

Step-by-step explanation:

32/80=.4

Answer:

40%

Step-by-step explanation:

32÷80=.4×100=40%

can somebody please help me

Answers

Answer:

[tex]C.650,000\ pounds[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]

[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]

HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?

Answers

Answer:

$ 312.5 each member.....

Answer:

Each member of the family should pay 312.5

Step-by-step explanation:

You should only divide 312.5 by 4 = 312.5I hope I helped

HELPPPPPPP plesssss two part question. the question is on the picture

Answers

A) 6x^3-13x^2-28x
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter
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