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

Jill had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
five pieces. With how many pieces did
she start?

Answers

She started with 32 pieces.

Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.

22-2x when x = to -5

Answers

Answer:

5

Step-by-step explanation:

22-2x ... (equation-1)

(x=-5)

Substituting the value of x in equation 1

22-2(x-5)

20(x-5)

20x-100

20x=100

x=100/20

x=5

Hope it helps

Derivative this Problem.

Answers

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]

[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]

[tex]\\ \sf\longmapsto 2(1)[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Step-by-step explanation:

[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]

[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]

[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]

[tex] = \tt1 + 1[/tex]

[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]

Why do you have a premium? That's :(

Answers

Answer:

i dont have a premium

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 20 as a decimal

Answers

Answer:

0.2

Step-by-step explanation:

20/100 as a decimal is 0.2.

Answer:

0.2

Step-by-step explanation:

If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month

Answers

Answer:

$334   to the nearest dollar.

Step-by-step explanation:

If you just stuff it under the bed that would be

40000/ 120          (as there are 120 months in 10 years)

= $334.333...

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5

Answers

Answer:

I think x=  -1

Step-by-step explanation:

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

For team A and team B

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Solve the following system of equations graphically and check

3x - y = 3
Y=2x-7

Answers

Answer:

x = -4 and y = -15

Hope This Helps!!!

Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)

Answers

Answer:

Numerical: (8x2)-(3+5) = 8

Word form: Eight-times-two minus three-plus-five

(8 x 2) - (3 + 5)

  16     -     8     = 8

*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.

Answers

Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate

A.$1.75

B.$2.00

C.$2.50

D.$5.00

Answers

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)

Evaluate the expression 9+9+2​

Answers

Answer:

20

Step-by-step explanation:

9+9+2​=20

Hope this helps :)

Answer: 20

Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20

Which graph does NOT represent a function?

Answers

Answer:

The circle graph does not represent a function because it doesn't pass the vertical line test.

Step-by-step explanation:

I need help asap!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/2 yd 5/3 yds The first one

Step-by-step explanation:

Helps me!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C and D

Step-by-step explanation:

Hope this helps :)

This table shows data collected by a runner.

A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.

Which statement about the scenario represented in the table is true? Assume time is the independent variable.

The distance run is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.

Answers

Answer:

a

Step-by-step explanation:

Answer:

The correct answer is B, The elevation is a nonlinear function because it does not have a constant rate of change.

Step-by-step explanation:

plsssssss answerrrrrr

Answers

Answer:

Step-by-step explanation:

Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120

angle C and angle B are supplementary and so their sum is equal to 180

B = 180 - 120

B = 60

angle D and angle B are also alternate so their measure is also equal to each other therefore

D = 60

Part 1 of 2
Points: 0 of 1
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 41 ft by 22 ft. The resulting piece of cardboard is the
folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way.

Answers

Answer:

Step-by-step explanation:

   

Please hurry, will mark brainliest if you answer correctly

Answers

Answer:

10

Step-by-step explanation:

according to BODMAS

6÷2=3

3+3=6

4^2=16

16-6=10

16.00 is the correct answer

If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)

Answers

Answer:

The total compound interest is $37,147.24.

Step-by-step explanation:

I could be wrong

Out of 120 customers asked at a restaurant, 38 rounded their bill up to the next whole dollar and donated the difference to the local Children's Hospital. How many consecutive customers must round up the bills so that the percentage of people who donated increases to 50%?

A. 44 customers

B. 40 customers

C. 36 customers

D. 32 customers

Answers

Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.

A proportion is the number of desired outcomes divided by the number of total outcomes.

Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.

The desired proportion is 0.5, hence:

[tex]\frac{38 + x}{120 + x} = 0.5[/tex]

[tex]38 + x = 60 + 0.5x[/tex]

[tex]0.5x = 22[/tex]

[tex]x = \frac{22}{0.5}[/tex]

[tex]x = 44[/tex]

44 customers, so option A.

A similar problem is given at https://brainly.com/question/20571459

Name the property of addition illustrated.

[3+(-8)] + 9 = 3+(- 8+9)

Answers

Answer:

Associative property

Step-by-step explanation:

The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.

Find the slope between these two points: (-3. 2) and (7.9).

Answers

Answer:

m= 7/10 or m = 0.7

Step-by-step explanation:

Slope of the line between 2 points is found using the coordinates of the points.

m = (y2-y1) / (x2-x1) for (x1 = -3, y1 = 2) and (x2 = 7, y2 = 9)

m = (9 -2) / ( 7- -3)

m= 7 / 10

Can someone please help me figure out the answer to the question in the picture?

Answers

d=100:
g=12-1/25(100)
g=12-4
g=8, d=100

d=200:
g =12-1/25(200)
g=12-8
g=4, d=200

d=300:
g =12-1/25(300)
g=12- 12
g=0, d=300

.79 % of what number of horses is 29 horses

Answers

Answer: 37

Cross multiply 100x29 over 79

3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74

Answers

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

Using subsitution, which value of x makes this equation true? 7x = 10 ​

Answers

X= 10/7


Divide both sides of the equation by 7
(An expression divided by itself is 1)
Then Write the division as a fraction
10/7

Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.​

Answers

Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

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