Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0

Answers

Answer 1

Answer: 105ft^3

Step-by-step explanation:

Answer 2

Answer:

[tex]105ft^{3}[/tex]

Step-by-step explanation:

V(h) = h(–h + 10)(–h + 8)

Apply the distributive property to the right side and simplify.

V(h) = h(–h + 10)(–h + 8)

V(h) = {h(-h) + h(10)}(-h+8)

V(h) = (-h²+10h)(-h+8)

V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)

V(h) = -8h² -10h² + 80h

V(h) =  -18h² + 80h

Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h)   =  -18h² + 80h and create a table

h | V(h)

1  | 63

2 | 96

3 | 105 <------maximum volume is the highest y-value

4 | 96

5 | 75

6 | 48

7 | 21

8 | 0

9 | -9

The maximum volume for the domain 0<h<10 is 105 cubic feet.


Related Questions

Reality Check 4: Bringing the NBA into Math 0980

Answers

Is this a question or do I have to search up this sentence to help you?
What’s the question?

whats 4/5 of 3/4 and whats 2/3 of 1/4

Answers

Answer:

4/5 of 3/4 = 3/5

2/3 of 1/4 = 1/6

Step-by-step explanation:

That doesn’t really make sense

(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.

6/10 - 1/5 + 1/4

Answers

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

PLEASEEE HELPPPPPPP :))))))))

Answers

Answer:

False

Explanation

The x-intercept of a line occurs when the line intersects with the x-axis.

1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her
delivery times on different days.
Petra's Deliveries
Delivery time (min)

Time (days)
(a) Label the two points on the graph. (Hint: ( D]
(b) What is the slope of the line? Show your work.
(c) Write the equation of the line in point slope form? Show your work.

Answers

Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Answer:

The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Step-by-step explanation:

find the missing value of 6/9 = m/6​

Answers

Answer: 4

Step-by-step explanation:

6/9 = m/6  We can multiply both sides of the equation by 6 to solve for m

so we get 36/9 = m. m = 4

When two data sets are compared, what characteristics will give the most accurate prediction? Explain.

Answers

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

correct on edge

If i had 127 tables and each table could fit 4 people how many people could i seat?

Answers

You would have 31 with equal groups

The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?

Answers

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Peter wants to plot the point (-2, 3) on a coordinate plane. Which statement best describes how to plot this point starting from the origin?

Answers

Answer:

From the origin, go left 2 then up 3

Step-by-step explanation:

negative x value means move left, positive y value means move up

Answer:

go left 2 and go up 3

Little note:

Hope this helps

A group of 10 friends are in line to see a movie. It cost $15 for 3 people to see a movie. How much will the group pay?​

Answers

Answer:

50

Step-by-step explanation:

15/3=5

5*10=50

Answer:

So if it costs 15$ for 3 just multiply that by 3 (which equals the amount it’d cost for 9 people, which is 45$). And then divide 15 by 3 which is 5$ or the amount it’d cost for one person to see a movie. 45+5=50$. So the group will pay 50$.

A bag of sunflower seeds weighs 0.35 lb.
Write the weight as a fraction.
PLEASE ANSWER

Answers

Answer:

7/20

Step-by-step explanation:

you put 35/100 and reduce into a simpilest form

Solve the given system of equations utilizing either the substitution or addition method.

Answers

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]

Solving using substitution method:

Let:

[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]

Find value of x from eq(1) and put in eq(2)

[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]

Put value of x in eq(2)

[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]

Now, finding value of x by putting value of y in eq(1)

[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]

So, Value of x=4 and y=-13/3

5. Juliet has swimming lessons every 5th day and dance lessons every 3rd day. If she
had a swimming lesson and a dance lesson on October 1, when will be the next
date on which she has both swimming and dance lessons?
A. October 5
B. October 10 C. October 15 D. October 18

Answers

Hope this helps!

C. October 15

Which of the following statements are reasons for why we get electrical energy from a
battery. Select all that apply.

Answers

All batteries are recharge able I hope this help

if the current ratio is 2:1 it is possible that

Answers

Answer:

is this question complete? there is nothing after the word “that”

Step-by-step explanation:

Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds

Answers

Answer:

The backpack weighs more

Step-by-step explanation:

9.5kg = 20.94391 lbs

Answer:

a backpack that weighs 9.5kg

Step-by-step explanation:

kilogram (kg) is stated to be 2.2 times heavier than a pound

Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51

Answers

Answer:

4+4+4=12

Step-by-step explanation:

Each cake needs  cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:

4 + 4 + 4 = 12

Answer:

Step-by-step explanation:

Nika baked three loaves of zucchini bread.

Each bread needed 17/4

17/4 simplified as a decimal is 4.25 or as a fraction 4/25

Answer 3

4 + 4 + 4 = 16

Why? Because 4/25 is NOT gonna be a whole number.

25/25 = 1.

So, saying that I picked the 3rd answer because 16 is closer to 25.

16 is over 4 so we have to look at the next place value. And 51 is more than 25.

Which operation should be performed on both sides of this equation to solve for x?
x+4=6


add 4

add the opposite of 4

multiply by the reciprocal of 4
multiply by the opposite reciprocal of 4

Answers

6+2=8 just trying to get points

X+4
What is the solution of
2x-1
*** <0
?
-4 04s x51/
0
45x< 1 / 1
4 O <
.

Answers

Step-by-step explanation:

can you snap a picture for this question bcs i cant understand the question

is 16-7=4+5 true, false, or open?

Answers

Answer:

open

Step-by-step explanation:

Answer:

This is True.

Step-by-step explanation:

16-7=9

5+4=9

same ting

Graph the line with slope −1 and y-intercept 3.

Answers

Answer:

See Attachment.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Slope m = -1

y-intercept b = 3

Step 2: Write linear equation

Substitute into general form.

Slope-Intercept Form:   y = -x + 3

Step 3: Graph

The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2​

Answers

Answer:

The range is -2,2,-4

Step-by-step explanation:

hope this helps

what is the decimal multiplier to decrease by 8.4

Answers

Answer:0.916

The decimal multiplier to decrease by 8.4% is 0.916.

Step-by-step explanation:

Find the equation of this line in slope intercept form y-2=1/2(x+8)

Answers

Answer
Root-(-12,0)
Vertical intercept- (0,6)

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

i got negative 108

Step-by-step explanation:

i got this because just put it in a porportion like x/y = x/?

then plug in the numbers it gives you. so it should look like this 5/-45 = 12/?

then multiply 12 and -45 and then divide by 5. you should get -108

pls mark branliest

it didn’t pop up brainliest because 2 people have to answer the question, i answered so you can mark them brainliest !

1. Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?​

Answers

Answer:

not sure i it is one of these answers but if so , it d

Step-by-step explanation:

When performing division by repeated subtraction method, an equal

amount is subtracted from the dividend several times.

The best choice for the first number to subtract is the the option; 870

Reasons:

Dividing 956 by 87 and subtracting 10 each time, by subtracting 10 87 times gives;

956 - 87 × 10¹ = 86

From which we get;

[tex]\hspace {15} 10\\87| \overline{956}\\\hspace{15in.....} \overline{870}\\\hspace {120in......} 86[/tex]

The 870 which is the part product is subtracted first to get a remainder of

86 which is less than 87.

Therefore; using powers of 10, the best choice for the first number to

subtract in the division problem 956 ÷ 87 is 87 × 10 = 870.

Learn more here:

https://brainly.com/question/146837

A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.

Which variable is most likely the lurking variable that explains the correlation?




A: height of tallest person in the home

B: age of oldest person in the home

C: number of children in the home

D: number of pets in the home

im not doing great in math and i really need some help with this

Answers

C. The number of people in the home. This is because the more people in the house, more people are eating and using plates and there are going to be more beds for everyone to sleep on.

Answer:

here you go this is for confirmation

Step-by-step explanation:

Can you help me please

Answers

There is an attachment here. I hope it helps!!

Tina wants to buy a bouquet
of red roses. The original price
is $24. How much will Tina PAY
if she buys it during the sale
when it is 25% off?

Answers

Answer:

18

Step-by-step explanation:

If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.

Answer:

It's 18

Step-by-step explanation:

25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D

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