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

Which is the solution of set?

Answers

Answer:

the answer is x >0 hope this helped

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

plsss I need help..i will remark ur answer as a brilliant answer​

Answers

Answer:

9.3. your ans. nabsbss

Which of the following tables represents a proportional relationship?
A.
x 2 3 4 5
y 3 6 9 12
B.
x 2 4 6 8
y 3 4 5 6
C.
x 1 4 7 10
y 0 3 6 9
D.
x 2 4 6 8
y 3 6 9 12

Answers

Answer:

Step-by-step explanation:

the answers c

Is 5x + 2 a numerical expression?​

Answers

Answer:

Yes

Step-by-step explanation:

Yes, this is a numerical expression because x represents a number.  This number is unknown, so x = 1 --- 5x (1) + 2 is equivalent to 5x + 2.  5x (1) +2 is a numerical expression, SO that means that 5x + 2 is a numerical expression.  

Help Me Find The Inequality of the graph ​

Answers

Hope this help Can ask any doubt

What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)

4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power

Answers

Answer:

5 x to the fourth power over 4 y cubed

Which geometric series converges?
A. 1/5 + 2/5 + 4/5 + 8/5 +...
B. 1/5 + 6/5 + 36/5 + 216/5 +...
C. 1/5 + 2 + 20 + 200 +...
D. 1/5 + 1/20 + 1/80 + 1/320 +...

Answers

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation: i got you bro

Answer:

answer is D

Step-by-step explanation:

Just the answer choices, not the box.

Answers

Answer:

the first one

Step-by-step explanation:

its the first one since you can be exactly 42 inches to ride the crazy carts

Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below.

Answers

Complete Question

The government believes that​ higher-octane fuels result in better gas mileage for their car. To test this​ claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with​ 87-octane first or​92-octane first, and the driver did not know which fuel was in the tank.

We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.

Calculate the p-value.

Answer:

The p-value is  [tex]p-value = 0.0562[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  11

    The test statistics is  [tex]t = 1.74[/tex]

The null hypothesis is               [tex]H_o : \mu _1 = \mu_2[/tex]

The alternative hypothesis is    [tex]H_a : \mu _1 > \mu_2[/tex]

Here [tex]\mu_1[/tex] is the gas millage for  87-octane fuel while

Here [tex]\mu_2[/tex] is the gas millage for  92-octane fuel

Generally the degree of freedom is mathematically represented as

          [tex]df = n- 1[/tex]

           [tex]df =10[/tex]

Generally from the student t -distribution table  the probability of  t = 1.74 at a degree of freedom of  [tex]df =10[/tex] is

         [tex]p-value = P( t > 1.74) = 0.0562[/tex]

           

Find the value of Y, 14 points

Answers

Answer:should be 125°

Step-by-step explanationz, y, and x make a 180° line. 52+3=55 and subtracting that from the total 180°gives you 125

Answer:

y = 8

Step-by-step explanation:

1. subtract 52° from 180° to get the value of the obtuse angle

2. that leaves you with 128° and now you subtract from 180° again bc the angles of a triangle always add up to 180° and so you have 52° now

3. the two angles you dont have add up to 52° and from here you write the equation 3y + 4y - 4 = 52

4. combine like terms to simplify the equation so you have 7y - 4 = 52.

5. add 4 to both sides so you get 7y = 56 nd then divide both sides by 7 leaving you with y = 8

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $6.00 and a small lemonade is $2.00. The expression represents 50% of the money he collects. 0.50(6l + 2s) Use the Distributive Property to expand the expression. The simplified expression is

Answers

Answer:

3l + 1s

Step-by-step explanation:

Given that:

The expression to represent 50% of the money collected : 0.50(6l + 2s)

Expanding the expression :

0.50(6l + 2s)

(0.50 * 6l) + (0.50 * 2s)

3l + 1s

Hence, the simplified expression is 3l + 1s

Which expression shows how 8⋅54 can be rewritten using the distributive property?




8⋅50+8⋅4

8⋅50+8⋅54

4⋅50+4⋅4

50⋅8+50⋅4

Answers

Answer:8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)

Step-by-step explanation:

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

The Marked price of an article is rupees 4500. After allowing some percent of discount and levying 10% VAT it is sold at 4400, find discount percentage​

Answers

Answer:

given,

mp= 4500

now

discount amount=dis%of mp

=x%of 4500

=45x

now,

sp=mp- discount

=4500-45x

now,

vat=vat%of SP

=10%*4500-45x

=450-45x

now,

sp with vat=sp+vat amount

=4500-45x+450-45x

=4950-90x

now,

4950-90x=4400

or,-90x=-550

or, x=55/9

or, x=6.11%

therefore, dis percent is 6.11%

9514 1404 393

Answer:

  11.11%

Step-by-step explanation:

Let d represent the discount, as a fraction. Then the final price is ...

  4500(1 -d)(1 +10%) = 4400

  1 -d = 4400/(1.10·4500)

  d = 1 - (4400/4950) = 0.111... ≈ 11.11%

The discount percentage is about 11.11%.

I WILL MARK BRAINLIEST Charla is finding points on a number line.

Which point could represent ?
A
B
C
D

Answers

C, A and B are incorrect because they are negatives and D is much higher than 2/3

pllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer: its most likely p to the power of 6 :)

Step-by-step explanation:

Answer:

The answer for (p^3)^2 is p^6

Step-by-step explanation:

Hope this helps!

Plz, mark brainiest! ^.^

HELPPP PLEASEEEEEEEEE

Answers

the answer is B, i don’t know what else to say cause brainly keeps telling me i need 20 characters

What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37

Answers

Answer:

27

Step-by-step explanation:

When we take 46 and subract 19 from it, we get 27.

For verification add 27 with 19

The   answer is 46

Answer:

27

Break 19 into 10 and 9. 46-10 = 36. 36-9=27.

Pls solve... will give brainliest... linear inequality

Answers

This is what I got for number 1. You put an open circle on -3 and a closed circle on 2 and they meet in the middle

Mias mom paid 22.50 for 5 pizzas for a family

What is the rate for cost per pizza ...

What’s the unit price ...

Answers

$4.5 per pizza. I did 22.50/5

hi could somebody help me im slow

Answers

To simplify the fraction
To simplify the fraction
-
Very important step

Is the answer a, b, c, or d

Answers

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.

Answers

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras?

Answers

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

[tex]x+y = 18[/tex] (1)

Masa de cada caja de peras

[tex]y\cdot m_{P} = 210[/tex] (2)

[tex]y = 6[/tex] (3)

Masa de caja de manzanas

[tex]m_{M} = m_{P}+7[/tex] (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

[tex]m_{P} = 35\,kg[/tex]

Por (4), encontramos que la masa de cada caja de manzanas es:

[tex]m_{M} = 35\,kg+7\,kg[/tex]

[tex]m_{M} = 42\,kg[/tex]

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

[tex]x = 18-y[/tex]

[tex]x = 12[/tex]

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

[tex]M = (12)\cdot (42\,kg)[/tex]

[tex]M = 504\,kg[/tex]

504 kilos de manzanas fueron llevados a la escuela.

Help I can’t fail plz help

Answers

1 . Joshua
2 . 1/2
3 . 3/2

Can someone pls help me :-(

Answers

Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

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

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

This bottle contains 200 mL of liquid plant food. What is the best estimate of how much the bottle can hold when it is filled to the FULL mark?

Answers

Answer: 1,000 ml

Step-by-step explanation:

From the looks of it, the 200ml mark is about a fifth of the volume needed to get to the FULL mark.

If 200 is ¹/₅, the full mark will be;

= 200/ ¹/₅

= 1,000 ml

Answer:

1000 ml

Step-by-step explanation:

how long does it take a snail to travel 10 inches at a rate of .2 inches per minute.

Answers

Answer:

50 minutes

Step-by-step explanation:

10 / 0.2 = 50

It takes 5 minutes for the snail to travel 1 inch, multiply that by 10 and we get 50 minutes.

Other Questions
What roles do conservation and energy efficiency play in helping us meet our energyneeds sustainably? Which expression is equal to [(x4)2x3y5]??x 26 y 10 x 22 y 10x 13 y?x 11 y?(the 2,3, & 5 are all smaller) help! anything works How do I turn a decimal into a whole number? :) g Machinery was purchased for $400000 on January 1, 2022. Freight charges amounted to $14000 and there was a cost of $36000 for building a foundation and installing the machinery. It is estimated that the machinery will have a $50000 salvage value at the end of its 4-year useful life. What is the amount of accumulated depreciation at December 31, 2023 if the straight-line method of depreciation is used The volume of a rectangular prism is represented by the function xrepresenting the width of the box.Ox- 4OX-1Ox+1Ox+4 WILL GIVE BRAINLIEST!!Write a letter from Phyllis Wheatley's point of view explaining her actions, beliefs, hopes, and future plans. In other words, this letter should be written as if your chosen person wrote it. It should contain specific details about the events during this person's time. PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!! can anyone help me with this math question please answer them alll 50 pointsReview the function equation below.y = 9x + 3Enter the slope of the function in the box.Question 2 (1 point)Question 2 options:Review the function equation below.y = 9x + 3Enter the y-intercept of the function in the box.Question 3 (1 point)Question 3 options:Review the function equation below.y = 5x 7Enter the slope of the function in the box.Question 4 (1 point)Question 4 options:Review the function equation below.y = 5x 7Enter the y-intercept of the function in the box.Question 5 (1 point)Question 5 options:Review the function table below.Enter the slope of the function in the box.Question 6 (1 point)Question 6 options:Review the function table below.Enter the y-intercept of the function in the box.Question 7 (1 point)Question 7 options:Review the function table below.Enter the slope of the function in the box.Question 8 (1 point)Question 8 options:Review the function table below.Enter the y-intercept of the function in the box.Question 9 (1 point)Question 9 options:Review the function graph below.Enter the slope of the function in the box.Question 10 (1 point)Question 10 options:Review the function graph below.Enter the y-intercept of the function in the box. Ava is five weeks pregnant, and her fetus is beginning to develop three layers that will form the essential human functions. What will the ectoderm layer become over the course of Ava's pregnancy?heart, circulatory system, bones, muscles, and reproductive systemskin, nervous systems, connective tissue, and eyeshair, fingernails, and eyebrowslungs, intestines, and bladder Which of the following statements is FALSE? a. After the Paris Peace Treaty, France was no longer a threat to Spanish settlements in North America. b. Marqus de Rub determined that Spanish efforts to convert and befriend Native Americans were not working. c. Spain moved all of the East Texas mission populations to San Antonio to strengthen the defense of the settlement there. d. Marqus de Rub determined that Spain was in a good position to defend the territory it had gained from the Treaty of Paris. Please select the best answer from the choices provided A B C D Using the laws of indices simplify 625^3/8 5^1/2 25 Electron geometry of the central atom br in brf4+ Which symptom is the main indication that a person is having a heart attack?A. sore armsB. sudden pressure or pain in the chestC. vomitingD. shortness of breath Define story in your own word 18.6 divided by 3 long division sorry to lazy Sixty percent of those who attended the soccer game were parents. There were 120 people who attended the soccer game. How many parents attended?40486072--------------------------------During a school assembly, 15 out of 60 students wore orange shirts to show school spirit. What percentage of the students did not wear orange shirts?Group of answer choices8%15%25%75%--------------------------------The sales tax on groceries was 2%. Karen paid $2.50 in sales tax on the groceries she bought. How much money did Karen spend on groceries before tax?Group of answer choices$125$100$50$25--------------------------------A club has 100 members.2/5 of the members worked on the school painting project.The rest cleaned up a local park.What percentage cleaned up the park?Group of answer choices20%40%60%80%--------------------------------At a school, 52 students in 6th grade were on the honor roll. If 28% of the 6th graders were on the honor roll, about how many students are in the 6th grade?Group of answer choices1861348067 HELP PLZ You dont have to solve all of them just do the ones you know! 19)*The captain stood with folded arms, silent, observing the work ofhis subordinates, but making no sign. Death is a dignitary whowhen he comes announced is to be received with formalmanifestations of respect, even by those most familiar with him. Inthe code of military etiquette silence and fixity are forms ofdeference.What is the meaning of the word dignitary as it is used in this sentence?A) a person who is illB) a friend or acquaintanceC)a beast of no importanceD)someone of high rank and influence