If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0


Related Questions

A rectangular photograph has an area of 48 square inches. If the width of the photograph is 8 inches less than its height, find the dimensions of the photograph
The height of the photograph is

Answers

Answer:

H= 12, W=4

Step-by-step explanation:

let H = height

let H-8 = width

We know that the area of the rectangle is A = H*W

now we substitute the statements we have made:

H(H-8) = 48

H^2 - 8H - 48 = 0

Simplify:

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

So now we have 2 options H = -4 or H = 12, having a -ve number as height does not make sense so we use 12.

We know that width is H-8 so now we do 12-8 which is 4.

Therefore width is 4 and height is 12.

9 Use the ALEKS calculator to write as a percentage. 9.64 Round your answer to the nearest tenth of a percent. % ?​

Answers

Answer:

964%

When rounded, answer will be 960%.

Fluffy the bunny ate 1 4 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

She ate 5/12 of carrot hope it's help


A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

105 psychology textbooks. 189 physics textbooks.

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Shift 7 units down

Step-by-step explanation:

Shift 7 units down

The base of a triangle is 7 inches more than its height. If the area of the triangle is 39 square inches, find the base and height of the triangle
The height of the triangle is

Answers

Answer:

the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

Step-by-step explanation:

The general area-of-a-triangle formula is A = (1/2)(base)(height), or  = (1/2)bh.

Here b = h + 7.

Applying the area formula given above:  A = 39 in^2 = (1/2)(h + 7)(h), or

78 in^2 = h^2 + 7h,

Rewriting this, in standard quadratic form, we get h^2 + 7h - 78 = 0

                                                                             -7 ± (49 - 4[1][-78])

Applying the quadratic formula to find h:   h = ----------------------------

                                                                                          2

           -7 ± (49 + 312)        -7 ± 19

or h = ----------------------- = ------------- = {-13, 6}

                      2                       2

Discard the negative 13 root; the height must be a positive quantity.

Thus, the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?

Answers

Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.

When a constant is multiplied to each data in a variable:  

The mean is multiplied by this constant. The standard deviation is multiplied by this constant.

In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:

[tex]28.3(10) = 283[/tex]

[tex]5.3(10) = 53[/tex]

The mean of A is of $283, while the standard deviation is of $53.

A similar problem is given at https://brainly.com/question/25639778

Find the amplitude of the function
y= -4 sin 1/3x

A. 6pi

B. 4pi/3

C. 4

D. Pi/4

Answers

Answer:

B......................

2/7 converted into a decimal then rounded to 3 decimal places.

Answers

Answer:

0.286

Step-by-step explanation:

The answer is 0.286

Hope this helps

Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.

After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.

Shirley also made a note to place an empty store in the opposite location of the bank on the number line.

Where should Shirley plot the empty store?

Answers

Answer:

3

Step-by-step explanation:

bookstore is two blocks east of town hall: 0+2=2

the hardware store is three blocks east of the bookstore: 2+3=5

the bank is eight blocks west of the hardware store: 5-8=-3

place an empty store in the opposite location of the bank: opposite of -3 is 3

9.
Identify the point corresponding to Q.



A. Q′ (−3, −2)

B. Q′ (−2, −1)

C. Q′ (1, −1)

D. Q′ (−3, 2)

Answers

The answer is d have a good day

Answer:

B. Q′ (−2, −1)

Step-by-step explanation:

I looked at the graph, this is as close as I could get to my answer. I'm so sorry if it is wrong.

Glve the position of E on this number line. -- 1 Write a fraction for your answer. 昌 口号 Х ?​

Answers

Answer:

3/8

Step-by-step explanation:

Pleaseee hellppp (find angle)

Answers

A = 14°

Step-by-step explanation:

We can use sine law in this situation, where

[tex]\dfrac{\sin A}{a} =\dfrac{\sin B}{b}[/tex]

where a and b are the lengths of the sides opposite the corresponding angles. From the given diagram, we can see that

[tex]\dfrac{\sin A}{7\:\text{yd}} = \dfrac{\sin 75°}{28\:\text{yd}}[/tex]

or

[tex]\sin A = \dfrac{7}{28}\sin 75° = 0.241[/tex]

Solving for the angle A, we get

[tex]A = \sin^{-1}(0.241) = 14°[/tex]

The sum of two numbers is 72 and their difference is 40. Using elimination method

Answers

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

Umm how to do rates

Answers

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours

Answers

Answer:

Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.

explanation: just trust me

Answer:

60 minutes

Step-by-step explanation:

I hope this would help

He are you able to solve these

Answers

Your missing anything to solve , if you intended to put a picture it’s not there

The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle.

Answers

Area of rectangle=Length×Breadth

[tex]\\ \sf\longmapsto Area=4y+10[/tex]

Take 2 common

[tex]\\ \sf\longmapsto Area=2(2y+5)[/tex]

L=2y+5unitsB=2units

Can someone help me on theses?

Answers

For question 3 it will be. -4,11,-3,3,0,-22

i need help friends on my math problem

Answers

Answer:

the answer is a

5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will help 100000 of people so plz answer this

Answers

Answer: 6/6 or 1

Step-by-step explanation:

1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.

4/6 + 4/6 = 6/6 or 1

6/6 or 1 is correct.

4/6 + 1/3 = 2/3 + 1/3 = 1

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.

Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%


Please explain and get 100 points+ Brainlyist

Answers

Answer:

the answer is

5.6 I think

What is the solution to the system graphed?

A. (2,-1)
B.(1,-2)
C.(-1,2)
D.(-2,1)

Answers

Answer:  C.  (-1, 2)

Explanation: The two lines intersect at this point. This point satisfies both equations at the same time.

Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22

Answers

Answer:

This is correct explanation

Step-by-step explanation:

A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.

Quotient - the integer result of division. Remainder - well, what remains.

9/4 = 2, with remainder 1.

You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.

I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.

A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow

Answers

So 175 will sleep without a pillow is your answer! plz mark me brainalist

John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left​

Answers

He has 35 dollars left

pls help me right now! and answer correctly​

Answers

Answer:

8.a 9.d 10.a 11.b

Step-by-step explanation:

this is multiple one .so no steps


April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?

Answers

Answer:

2%

Step-by-step explanation:

Answer:

I don’t know

Step-by-step explanation:

-6/5 - (-3/8)
Help please




Answers

Answer:

-0.825

Step-by-step explanation:

Did not know the options so do not know if this is right or not.

Here is ur answer.

- BRAINLIEST answerer

36=12d is a proportional or Non-proportional? Explain

Answers

Answer:

non-proportional

Step-by-step explanation:

This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:

y = 5x

Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"

36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.

proportional:

"corresponding in size, degree or intensity"

"having the same or a constant ratio"

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