A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given by s(t) = 8t2 + ln t.

The velocity of the particle at t = 1 second is:

Answers

Answer 1

Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s


Related Questions

Determine the measure of ZUXW in the diagram.

66°
57°

The measure of LUXW is

Answers

Answer:

the measure of <UXW is 57°

Mr. Gurung sold a bicycle for Rs 18,816 and made a profit of 12%. if he wants
to increase his profit by 3%, at what price should be sell the bicycle

please help me:(​

Answers

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

How do i find the values of of both x and y in a quadrilateral?

Answers

Answer:

n stands for the number of sides, which is 4.

To find the sum of the angles, subtract 2 from the number of sides and multiply by 180.

Add all the angles together and set that equal to 360 to solve for x.

Plug 32 ° in for x to find the measures of the angles.

Choose the correct answer. Sally Situp pays $24.95 per month for her fitness center membership. If she works out twice a week for a year, how much does she pay for each visit?

Answers

Answer:

2.88

Step-by-step explanation:

24.95*12=299.4

299.4/104(bi-weekly training)=2.8788 This rounds to 2.88

Answer:$0.23

Step-by-step explanation:

BRAINLIEST
Estadio Azteca, a stadium in Mexico City, has a capacity of 1.04 × 105 people. One day,
spectators filled Estadio Azteca in 25 minutes.
1. What division expression represents the average number of people per minute?

Answers

The average number of people who entered the stadium per minute was 4,160

we know that

To find out the average number of people who entered the stadium per minute, divide the total number of people by the time required to fill the stadium

Let

x ----> the total number of people

y ----> the time required to fill the stadium

we have

1.04*10 5/25 = 4,160 people/mintute

so

therefore

The average number of people who entered the stadium per minute was 4,160

I hope this helped! Plz, comment in the paragraphs soon!

PLZZZZZZZZZZ HELP MEEEEEEEE IM BEING TIMED
PLZZZZ EXPLAIN THE ANSWER ALSO PLZZZZZZZZ

Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

1 gallon = 128 fluid ounces

Enter your answer and your work or explanation in the box provided.

Answers

Terrance will fill 16 cups if he fills up 2 gallons I answered on edge 2020

ana can swim at a rate of 3/8 mile in 1/3 hour.

Answers

1/9 hope dis help uuu

PLEASE HELP MEEE what is the y-intercept of this line?
A. (-2, 0)
B. (0, -2)
C. (0, 1)
D. (1, 0)

Answers

Picture??
I need it so I can see if my answer it right or wrong

Answer:

What is the line? The link isn't working...

Step-by-step explanation:

Wait, nevermind... I got it! The answer is B. (0,-2)

Hope that helps and please give me brainliest!!!

A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 35%. Find the selling price.
The selling price was s (Round to the nearest dollar as needed.)

Answers

Answer:

30.8 I believe is your answer

Step-by-step explanation:

What is the constant of proportionality for the relationship shown in this table?

x 1 2 3 4
y 4 8 12 16

14

4

8

16

Answers

Answer:

4

explanation:

I took the test

The constant of proportionality  is 4.

What is constant of proportionality?

The constant value of the ratio between two proportional quantities is the constant of proportionality. When either their ratio or their product gives a constant, two varying quantities are said to be in a relation of proportionality. The type of proportion between the two given quantities determines the value of the proportionality constant: Variation in both a direct and inverse manner.

given relation

x 1  2  3  4

y 4 8 12 16

the equation is

y = 4x

1 * 4 = 4

2 * 4 = 8

3 * 4 = 12

and so on...

Hence the constant is 4.

Learn ore about constant of proportionality;

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Which expression is equivalent to 5p2+ 3p2 - 6p?
a. 2p2
b. 14p2
C. 8p2 - 6p
d. p(5p + 3p - 6)

Answers

Answer:

is c or d i think

The solutions of the equation f (x)=g(x) are-2 and1. If f and g are graphed on the same coordinate plane, which statement must be true?

Answers

It is the last one of the answer

What expression is equivalent to −1/2 (6x − 10)?

Answers

Answer:

-3x+5

Step-by-step explanation:

The answer is up ahead

Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?----- What is the first complete ratio? (numbers)​

Answers

Answer:

56

Step-by-step explanation:

70 / 10 = 7 > 8 * 7= 56 hha hope this helps

There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?

Answers

Answer:

12 Men

Step-by-step explanation:

Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

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Please help using the picture below I will give BRAINLY!

Answers

Answer:

2) 76

3)  64

Step-by-step explanation:

The actual answer is
A) 76
B) 62

The other person did a miscalculation

the green shape is a dilation of the black shape.what is the scale factor of the dilation? ​

Answers

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

(02.01)
Solve for x
2/3(x - 2) = 4x (1 point)

Select one
2.
a
5
5
2
с
2.
5
d. 5

Answers

Answer:

x=-2/5

Step-by-step explanation:

whats 9 + 10? if you get it right brainliest

Answers

Since brainily make me write more than 20 character this is the answer 9+10=12

Answer:

19.  

Step-by-step explanation:

In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19

Answers

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

Ashley solved the inequality as shown below. Which of the following describes her mistake?
1st step 6-4(6n+7)≥122
2nd step 6 -4 to the 6n and 7(6n+7)≥122
3rd step 6-24n-28≥122
4th step -22 is dashed out -24n≥122-22
5th step 24n/24≥122/24
6th step n=-4.17


A. Ashley incorrectly distributed the -4.
B. Ashley incorrectly combined her like terms.
C. Ashley incorrectly moved the constant to the right side.
D. Ashley incorrectly divided.

Answers

C because she cannot dash out -22

someone please help me answer question in attachment..

Answers

Answer:

135*

Step-by-step explanation:

trust me

7500 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it take for the account value to reach 34300 dollars?

Answers

ssvhcvbbcccccccccccch da as usa hcsfghssfcvygfggf

GEOMETRY) Please solve for X! plspls​

Answers

Step-by-step explanation:

so the answer is would be X = 15

Correct !!!!!!!!!! Please give me thanks

angle a= 6x-5 degrees angle b=4x+45 degrees

Answers

Answer:

180

Step-by-step explanation:

Answer: the correct answer is 125°

Step-by-step explanation: i just had to get it wrong so i could get it right

Find factors of polynomial
A) 244 + 183
B) 4 + x
C) 82 − 56 + 7 − 49
plz answer properly
I will mark the person brainliest who answers properly

Answers

Step-by-step explanation:

the c is true

❤❤❤❤❤

Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?

Answers

Answer:

I would think the principal is $13,000

Step-by-step explanation:

Answer:

Principle =$13000

Step-by-step explanation:

In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?​

Answers

Answer: 30 students liked both.

step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5% per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

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