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

Would appreciate it if anyone answered this for me :D​

Answers

First one A thats the answer

60% of the teachers completed the last survey sent out from the school. If 30 teachers completed the survey, how many total teachers are at the school?

Answers

Answer:

50

Step-by-step explanation:

Let the number of teachers is t.

60% of t is 30

0.6t = 30

t = 30/0.6

t = 50

What is c?



1.51=c10

c = can someone explain I'm a little confused >

Answers

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.

Answers

Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.

Liam had \$250$dollar. Then, he and his classmates bought a present for their teacher, evenly splitting the \$ p cost among the 24
of them.

Answers

Answer:

20

Step-by-step explanation:

the answer would be 20 if i’m right

please help my mom is gonna hit me if i don't get it right.
the answer is NOT 18

Answers

Answer:

Lol I hope she didn't hit you yet. The answer is x=14 :)

Step-by-step explanation:

So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im  just obviously a mage. lol I hope this helped.

Tom drove at a constant speed of 50 miles per hour for 2.5 hours.
Albert drove at a constant speed of 65 miles per hour for 2 hours.
Who drove farther? How many more total miles did he drive?
Use the equation d =r xt to solve.
drove farther. He drove
more total miles.

Answers

Answer:

Albert by 5 more miles

Step-by-step explanation:

Tom:  50 * 2.5 = 125 miles

Albert:  65 * 2 = 130 miles

Albert drove for more miles

130-125 = 5 miles

Albert drove for 5 more miles

ca someone solve 8 = b - 1 + 8b STEP BY STEP PLEASE.

Answers

Answer:

b = 1

Step-by-step explanation:

8 = b - 1 + 8b

combine like terms

8 = 9b - 1

add 1 to both sides of the equation

8 + 1 = 9b - 1 + 1

8 + 1 = 9b

9 = 9b

divide both sides of the equation by 9

9/9 = 9b/9

1 = b

Answer:

b = 1

Step-by-step explanation:

Given

8 = b - 1 + 8b, that is

8 = 9b - 1 ( add 1 to both sides )

9 = 9b ( divide both sides by 9 )

1 = b

Just read and answer me

Answers

Answer:

the picture isnt showing up on mines

Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal Joshua needs to have more than ? Area additional customer to meet his goal.

Answers

Answer:

More than 7

Step-by-step explanation:

Given that:

Joshua's goal is to sell more than 20 items at a farmer's market.

Number of items already sold = 6

So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14

Given that each customer buys 2 items.

Let [tex]c[/tex] be the number of customers.

So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = [tex]2c[/tex]

And as per the question statement,

Number of more items to be sold > 14 (as calculated in above step)

[tex]2c>14\\\Rightarrow \bold{c>7}[/tex]

Therefore, the answer is: More than 7 additional customers are required.

PLEASE HELP AND SHOW WORK​

Answers

x=44°

you write 2x-6=82, subtract 6 on both sides so ur left with 2x=88, you divide both sides by 2 and you get 44

Which units would be used for a measurement of area?
cm 2
π
inches
ft 3

Answers

I believe cm. I’m not quite sure tho i don’t think it would be pi.

Pennies made after 1984 weigh 2.5 grams. How much would 10 pennies weigh?

Answers

Answer:

25 grams

Step-by-step explanation:

Pennies made after 1984 weigh 2.5 grams. How much would 10 pennies weigh?

From the above question:

1 penny = 2.5 grams

10 pennies = x grams

Cross Multiply

1 × x grams = 10 pennies × 2.5 grams

x grams = 25 grams.

Hence, the weight of 10 pennies is 25 grams

I need the ordered pair that represents the location of B

Answers

Answer:

( 9, -35 )

Step-by-step explanation:

We can figure out how far the midpoint is from point A and just add the same values to the midpoint's coordinates to get the location of point B.

From A to Midpoint in the X direction:

+ 6

From A to Midpoint in the Y direction:

-15

The coordinate of the midpoint is:

( 3, -20)

3 + 6 = 9

-15 + (-20) = -35

The coordinates of B are:

( 9, -35 )

The GCF of 18 and a number is 6. Which of the following could be the number?
A.28
B.15
C.21
D.24​

Answers

Answer:  D) 24

===============================================

Explanation:

Find the prime factorization of each value given

28 = 2*2*715 = 3*521 = 3*724 = 2*2*3

Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.

Focusing on 24 and 18, we see that

24 = 6*418 = 6*3

which shows that 6 is the GCF of 24 and 18.

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

Please help me with this question I need the answer

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest
compatible number. Then find the quotient.
Enter the remainder, if any, as a fraction in simplest form.
59 ) 5,613
The estimate is?
The quotient is?

Answers

Answer:

lil mosey

Step-by-step explanation:

Divide the fractions. Don’t simplify

3/4 divided by 5/2

Answers

The answer is three-fourths
It will be cool if I can be brainliest

Someone help me plsss with my math work. the teacher said its eliminating method but i dont understand it.
8a+3b=27
29-5b=1​

Answers

if this is systems of equations I will help. I can’t really go into detail right now because I am doing work of my own but I will tell you the answer.

The answer is (51/50, 28/5)

a= 51/50
b= 28/5

Have a great day✨❤️

Right answer gets brainlist

Answers

B is the answer I think

PLZ HELP ME

look at the picture above ​

Answers

a. Samantha’s error is that she made the exponent negative, which will not reflect it across the x axis.
b. To reflect it across the x axis you would need to change the coefficient and make it negative. In this case, it would be:

g(x)= -3(2)^x

A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer

Answers

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

Answers

Answer:

The prepaid phone plan will have a steeper line and lower y-intercept.

I hope this is right

Step-by-step explanation:

prepaid phone plan y = .20x

contracted phone plan y = .02x + 50

Answer:

A (The prepaid phone plan will have a steeper line and lower y-intercept.)

Step-by-step explanation:

can someone help me please serious people only ​

Answers

Answer:

Don't let people bring you down you got this

Step-by-step explanation:

Please help me with this .

Answers

Answer:

x=4

Step-by-step explanation:

It's a parallel line so the equation is

100+19x+4=180

19x=180-100-4

19x=76

x=76/19

x=4

Answer: x = 4

Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.

- 4. -4

19x = 76

/19. /19

X = 4

help me please!!!!!!!!!!!!!!

Answers

I'm a little rusty lol but I believe that is C, the distributive property.

Answer:

Distributive Property

Step-by-step explanation

You first ditribute the 6 to the 4x and -1.

Solve for x.
(x + 13) ft
24 ft

Answers

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

Which graph represents the inequality?
y>- 1/2
OA
OB
OC
OD

Answers

Answer:

A

Step-by-step explanation:

Given the inequality, y > -½, the graph that represents this would have a directed line starting from -½ and pointing to your right. It would also have an unshaded circle, or empty circle, signifying that -½ is not included among the set of possible values of y.

Thus, the right graph would be graph A.

The Hawkins family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget

Answers

Answer:

Step-by-step explanation:

Hi!

We will find the monthly budget using proportions, like this:

15% = 0,15___________600$

100% = 1_____________x$

__________________________

x = (600*1)/0,15

x = 600/0,15

x = 4000

Their monthly budget is 4000$.

Hope this helps!

Answer:

510

Step-by-step explanation:

16% off of 600 = 510

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