Find the absolute maximum of m(t)=t^3-12t^2-144t and justify your answer​

Answers

Answer 1

Answer:

Step-by-step explanation:

m(t)=t³-12t²-144t

Take the derivative of t:

t'=3t²-24t-144

Set it to 0:

3t²-24t-144=0

Solve for t:

t²-8t-48=0

(t-12)(t+4)=0

t=12 or -4

On a graph, you'll find that the maximum value occurs at t=-4 ..............


Related Questions

Which set of number includes only intergers

Answers

D because it doesn’t contain any fractions or decimals. Only negative and positive whole numbers

Answer:

{-10, -7, 0, 98, 145}

Step-by-step explanation:

An integer is whole numbers and their opposites, doesn't have to be written as a fraction.

{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.

Type the decimal equivalent of 6 9/20 .

Answers

Answer:

6.45

Step-by-step explanation:

The person on top is correct.


Tim works at an appliance store. He earns $15 per hour and a 7% commission on the sales
he makes.
Lets's say
y = earnings
h = number of hours worked
s = amount of sales
Which of the following equations correctly indicates how much Tim earns in a day?

Answers

Answer:

Y = $15H + (.07 * S)

Step-by-step explanation:

You didn't give the choices but this should be correct

The following is a stock ticker for Amazon on December 18. What was the price of Amazon stock on December 17 ?

Answers

Answer:

I need an image

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1+2+3+4+5+6+7+8+9+78+63+6478+233+232+435634657+478978587+4567356+34786874-54676557568

Answers

Answer:

-53722582885

Step-by-step explanation:

u add them

Answer:

53722582885

Step-by-step explanation:

Help please *an image is attached*

Answers

Answer:

what grade????????????

KAJSADBHAVMHDBHJHHFEHF I NEED HELP ON THIS SOMEONE PLS HELP

Answers

A :) I believe sjbdnwbsbdnsjdjen

Which of the following sets are disjoint?

a) Men and uncles

b) Aunts and uncles

c) Women and Aunts

d) They are all disjoint ​

Answers

Answer: b) Aunts and uncles

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

Explanation:

The term "disjoint" is another way of saying "mutually exclusive". If two sets are disjoint, then they have nothing in common. Put another way, if two sets are disjoint, then it's not possible to be part of both sets at the same time.

In this case, it is not possible to be both an aunt and an uncle simultaneously for any one person. So this is why choice B is the answer.

Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81

Answers

Answer:

Step-by-step explanation:

l

Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.

To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:

Scalar Projection (uv) of u onto v:

uv = |u| × cos(ϴ)

Dot Product (u · v) of u and v:

u · v = |u| × |v| × cos(ϴ)

u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,

calculate the magnitudes of u and v first:

|u| = √(1² + 3²) = √10

|v| = √(2² + 1²) = √5

Now, calculate the scalar projection (uv) and the dot product (u · v):

Scalar Projection (uv) of u onto v:

uv

= |u| × cos(ϴ)

= √10 × √(2)/2

= √(10/2)

= √5 ≈ 2.24

Dot Product (u · v) of u and v:

u · v

= |u| × |v| × cos(ϴ)

= √10 × √5 × √(2)/2

= √(1052)/2

= √100/2

= √50

≈ 7.07

Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.

Learn more about vectors here

brainly.com/question/32840210

#SPJ2

I- JUST NEED THE ANSWERS TO THIS QUESTION

Answers

Answer:

Undefined

Step-by-step explanation:

The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need

Answers

Answer:

5.44 gallons of paint

Step-by-step explanation:

First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.

Area=(length*width)4

Area=(12*8.5)4

Area=(102ft^2)4

Area=408ft^2

Therefore, the total area of the walls is 408ft^2.

Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.

408/75

=5.44 gallons

Therefore, we would need 5.44 gallons of paint to paint the four walls.

I hope this helps!

Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.

Answers

Answer:

2+2929?

Step-by-step explanation:

answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer

The ratio of blue chairs to red chairs in Ms. Vickers’ class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vickers’ class?

Answers

Answer:

:  <

Step-by-step explanation:

multipy (2c-1) (7c-5)

Answers

Answer:

2.8 or 2 4/5

Step-by-step explanation:

2c*7c= 14c

1*5= 5

14c/5=

Answer:

14c^2 - 17c + 5

Step-by-step explanation:

hope to get a brainliest hope you the bsat on it have a good day:)

7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4

Answers

Answer:
Explanation:
3 = 2(4) + b
3 = 8 + b
3-8 = b
-5 = b
y = 4x - 5

Ive been trying to figure out this problem, I’m not sure if each fruit is measures per pound. Please help!

Answers

Answer:

e

Step-by-step explanation:

i will give free points to people who answer my problem

Answer:

Elena spent [tex]p-3.45[/tex] more than Taniy

Step-by-step explanation:

LET THE PRICE OF CHERRY PER POUND BE "p" !!!!!

Elena bought a watermelon for = $7.75

Elena bought 3 pounds of cherry for = $3p

Total money spent by Elena = 3p + 7.75

Taniy bought a pineapple for = $4.35

Taniy bought 2 pounds of cherry for = $2p

Total money spent by Taniy = 2p + 4.35

More money spent by Elena than Taniy =

[tex](3p+7.75)-(2p+4.35)\\=>3p+7.75-2p-4.35\\=>3p-2p+7.75-4.35\\=>p-3.45[/tex]

4x^2+x^3 factorised





How do you do this?...

Answers

Answer:

X²(4+x)

Step-by-step explanation:

You pick out the common term

Greetings.

The answer is x²(4+x)

Explanation:

[tex]4x^2+x^3\\[/tex]

By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.

When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)

Similar to dividing, but we pull x² out.

[tex]4x^2+x^3\\x^2(4+x)[/tex]

Therefore, the answer/factored form is x²(4+x)

PLEASEEEE HELP ASAPP!! 25 POINTS!!
Consider the given functions
which statement about the functions is true?
A) function 2 and 3 have the same y-intercept and the same rate of change
B) functions 2 and 3 are both increasing but function 3 is increasing at a faster rate
C)functions 1 and 3 are both decreasing but function 1 is decreasing at a slower rate
D) function 1 and 3 have the same rate of change but function 1 has a greater y-intercept

Answers

Answer:

the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5

Answer:

yep he is right

Step-by-step explanation:

Multiply and combine like terms: (2x + (1/6))^2

Answers

The answer would be 4x^2+ 2/3x+1/36

Help me pls this is due tomorrow at 8:00 am

Answers

Answer:

it would be what they said

Step-by-step explanation:

so sorry i need 50 pts

Answer:

Oh this is easy 24

Step-by-step explanation:

2x4=8x3=24

If f(1) = 10, what is f(3)?

Answers

Answer:

30

Step-by-step explanation:

multiply each f by the same root numeral

The steps in solving 5b - 6 = 24 are: *
1 point
Subtract 6 from both sides then divide both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Add 6 to both sides and divide both sides by 5

Answers

the correct answer is to “add 6 to both sides and divide both sides by 5”

Review the following information about vectors q and r.

q = ⟨–4, 1⟩

r = ⟨a, 3⟩

7(q + r) = ⟨–35, 28⟩

What is the value of a?

–31
–7
–5
–1

Answers

Answer:

D) -1

Step-by-step explanation:

got it right on edge :)

Vector addition is done by addition of the components

The value of a is -1

a = –1

Reason:

The given parameters are;

q = <-4, 1>

r = <a, 3>

7·(q + r) = <-35, 28>

Required:

The value of a

Solution;

By vector addition of the components of q, and r, we have;

q + r = <-4 + a, 1 + 3> = <-4 + a, 4>

q + r =  <(-4 + a),    4>

By plugging in the value of q + r from the above step, we have;

7·(q + r) = <7 ×(-4 + a), 7 × 4> distribution property

7·(q + r)  = <-35, 28> Given

Therefore, by comparison of components, we have;

7 ×(-4 + a) = -35

[tex]-4 + a = -\dfrac{35}{7} = -5[/tex]

a = -5 + 4 = -1

a = –1

The correct option for the value of a is –1

Learn more here:

https://brainly.com/question/2927458

Bob wants to distribute his fish and plants equally without having any left over. Help Bob find how many aquariums he needs. Use the fish and plant images to answer these questions. Insert the image of the fish and plant just like in Task 1’s introduction.





Part A
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set.

Answers

answer: 6

Step-by-step explanation:

you have 6 containers. you out 4 fish in each and then 3 plants in each.

help me with this its super hard

Answers

Answer:

240

Step-by-step explanation:

Because you have to do length times with times height

12 times 10 times 2= 240

this is my question​

Answers

Answer:

5*0.2=1

Step-by-step explanation:

The answer is 0.2

Brainliest pls

HURRY! The question is in the picture!!!

Answers

Answer:

6

Step-by-step explanation:

I checked it and it’s right hope this helps!!

Olivia is using 160 quilt squares to make a red, yellow, and blue quilt. If 25% of the quilt squares are red and 30% are yellow, how many quilt squares are blue?

Answers

Answer:

72 blue quilt squares

Step-by-step explanation:

Total number of quilt squares = 160

Percentage of no. of red quilt squares = 25%

Percentage of no. of yellow quilt squares = 30%

So, percentage of no. of blue quilt squares = 100 - (25 + 30) = 45%

No. of blue quilt squares = [tex]\frac{45}{100} *160=\frac{45*160}{100} = \frac{7200}{100} =72[/tex]


What is the y-intercept of the line?

Answers

Answer:

y= -1

The Y-intercept is the point at which the line segment intersects with the Y-Axis.

Answer:

1

Solution:The y-intercept, b, is the point where the graph intersects the y-axis.It's usually written as:(0, b).We already know what b stands for. It stands for the y-intercept.Since the graph intersects the y-axis at (0, 1) the y-intercept is (0, 1) or 1.

Hope it helps.

Do comment if you have any query.

Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0

Answers

Step-by-step explanation:

12/x + 6/(x-1) = 5

12(x-1) + 6(x) = 5(x)(x-1)

18x - 12 = 5x² - 5x

5x² - 23x + 12 = 0. (Shown)

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