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

The price of parking for 2 hours or less at the airport is increasing from $2.50 to $5.00. What is the percent that the price will increase?

Answers

Answer:

100%

Step-by-step explanation:

5 - 2.5 = 2.5, 2.5 / 2.5 = 1, 1 x 100 = 100% :D

Preston uses 2 cups of nuts for every 3 cups of raisins to make trail mix. How many cups of
nuts will he need if he uses 12 cups of raisins?
9 Cups
8 Cups
10 Cups
5 Cups

Answers

Answer:

I'm pretty sure it's B. 8 cups

HURRRY FIRST GETS BRAINLIESTTTT

Answers

Answer:

B) one function has a higher rate of change

Step-by-step explanation:

I used process of elimination

A) one function is linear are the other is non linear:

False, because they are both lines.

C) one function has a higher starting value

False, because they both start at 0

D) they are both the same function

False, because one has a steeper slope than the other one

Question 4 HELPPPPPPPPPPPPP

Answers

The opposite of 4 is -4 :/

Answer:

-4

Step-by-step explanation:

correct have a nice day

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

write 15% as a fraction step by step

Answers

Answer:

15/100

Step-by-step explanation:

15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%

Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.

Not sure what this is but last choice is 60 miles FIRST ANSWER GETS BRAINLIEST HEHEHE

Answers

Answer: b

Step-by-step explanation:

I think is B.
Hope this helps!!

What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?

Answers

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

What are some real world examples of how you can use the skills of proof writing?

will give brainlyst have to be right

Answers

You can drive your parents crazy by correcting them when there work email is wrong

You can be paid to check other people’s work

You can always be top of your class

5/8x24 how can I show my work solving dat

Answers

Answer:

Check the image below

Step-by-step explanation:

8x+2 factored useing the gcf.

Answers

Answer:2 ( 4 + 1 )

Step-by-step explanation:

How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, then answer the question. *​

Answers

Answer:

14 groups

Step-by-step explanation:

Given

[tex]Groupings = \frac{1}{2}\ day[/tex]

[tex]Duration = 1\ week[/tex]

Required

Determine the number of group in the week

To do this, we simply divide the duration by the number half day group.

This gives:

[tex]Group = \frac{Duration}{Groupings}[/tex]

[tex]Group = \frac{1\ week}{1/2\ days}[/tex]

Convert week to days

[tex]Group = \frac{7\ days}{1/2\ days}[/tex]

[tex]Group = \frac{7}{1/2}[/tex]

[tex]Group = 7 / \frac{1}{2}[/tex]

Convert to multiplication

[tex]Group = 7 * \frac{2}{1}[/tex]

[tex]Group = \frac{14}{1}[/tex]

[tex]Group = 14[/tex]

Hence, there are 14 groups

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Combine the like terms to create an equivalent expression.
5r + 15 - 2r - 5

Answers

3r + 10 is the answer

factor completely 24x^2+16x-30

Answers

Answer:

2(2x+3)(6x-5)

Step-by-step explanation:

2(12x²+8x²-15)

2(12x²+18x-10x-15)

2(6x(2x+3)-5(2x+3))

2(2x+3)(6x-5)

SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD

Answers

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

how do I find the value of x in a isosceles and equilateral triangle​

Answers

Depends on where the x is. If in the equilateral triangle, x is the only angle missing then you do whatever two numbers they gave + x = 180 then solve.

If it’s in an isosceles and it’s the same situation, you do x = the side with the same amount of degrees (you will know because there will be a line on the “x” and given side

At a local fitness​ center, members pay $8 membership fee and ​$4 for each aerobics class. Nonmembers pay ​$5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

Answers

I have the same question why can’t I accept this comment HELPP

what is the cube root of 64​

Answers

Answer:

the cube root of 64 is 3√64=4.

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.​

Answers

Answer:

The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]

A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.

P(purple) =

Answers

Answer:

.15 or 15%

Step-by-step explanation:

5+8+4+3=20

3 purple marbles/20 total marbles= .15

3x-4 or = to 7


plz help

Answers

Answer:

3 + 4 = 7  which is true.

Step-by-step explanation:

Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.

To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.

You also have to do the same to both sides, kind of like keeping a balance scale in balance.

In this case, we subtract 4 from both sides first:

3x + 4 -4 = 7 - 4

The + 4 - 4 cancel each other out, so you get:

3x = 3

3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:

3x / 3 = 3 /3  

so 1x = 1.

Since 1x is "1 times x" it is the same as x by itself, so:

x=1

AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):

3 * 1 + 4 = 7

3 * 1 is 3, so:

3 + 4 = 7     which is true.

1 is the only number that works.

Hope this helped.

Will give crown help

Answers

Answer:

4

Step-by-step explanation:

to find the slope, you have to do rise/run.

you rise up from the first dot 4 times,

then you run once.

4/1

so the answer is 4

Please help me I’m begging you, ignore my answer unless I’m right. I don’t know how to do this please help

Answers

Answer:

What is the question?

Step-by-step explanation:

In a school-wide survey about favorite ice cream chocolate beat vanilla by a ratio of 8 to 3. if 150 more students like chocolate than vanilla, how many students took the survey?​

Answers

Answer: 295

Step-by-step explanation: The ratio is 8 to 3 so every student that likes chocolata there the 3 students that like vanila so 8-3 is 5 and 150-5 is 145 add 150+145 to get 295

Right answer gets brainlist

Answers

B is the answer I think

can someone please help me out with this.​

Answers

this is not a function

Anyone can find “v” and “u”??

Answers

Answer:

[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]

Step-by-step explanation:

In triangle WYZ ,

[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]

In traingle WXZ ,

[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]

Putting the value of U^2 in above eqn.

[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]

[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]

[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]

[tex] = > 6v = 32[/tex]

[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]

Putting the value of V in eqn. below :-

[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]

[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]

[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]

[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]

Grace conducted a study to show how many hours her dog sleeps after having one or two hours of exercise. She set up a two-way table in four different ways. Which table will best represent Grace’s data? A 4-column table with 3 rows. Column 1 has entries less-than 6 hours of sleep, 2 hours of exercise, total. Column 2 is labeled greater-than 6 hours of sleep. Column 3 is labeled 1 hour of exercise. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 1 hour of exercise, greater-than 6 hours of sleep, total. Column 2 is labeled 2 hours of exercise. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 2 hour of exercise, greater-than 6 hours of sleep, total. Column 2 is labeled 1 hour of exercise. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total. A 4-column table with 3 rows. Column 1 has entries 1 hour of exercise, 2 hours of exercise, total. Column 2 is labeled greater-than 6 hours of sleep. Column 3 is labeled less-than 6 hours of sleep. Column 4 is labeled total.

Answers

Answer:

The best table to use will b the fourth table.

Because the number of hours of excise is on one side and the number of hours of sleep is on the other. It will be easy to calculate it this way. Hope I was able to help

Step-by-step explanation:

I got it right on edge hope this help

Answer:

The fourth one

Step-by-step explanation:

got it right 2020


Graph the system of equations y = x+2 and 2y = 2x - 4 and describe it as consistent and independent,
consistent and dependent, or inconsistent.

Answers

the graph is attached, where the blue line is y=x+2 and the green line is 2y=2x-4.

since the two systems are parallel to each other and has no solution, this system is inconsistent.
Other Questions
navy firefighter have to deal with military operations at sea which entail Select the correct answer.Harry uses a sling psychrometer to measure relative humidity near his school. The dry bulb temperature reads 58F, and the wet bulb reads45F. At the same time, his cousin Roberta uses her sling psychrometer to measure the relative humidity near her house. The dry bulbtemperature reads 58F, and the wet bulb reads 50F. What can you conclude from the values?OA. The relative humidity is higher at Harry's school than at Roberta's house.OB. The relative humidity is higher at Roberta's house than at Harry's school.OC. The relative humidity is the same at Harry's school and Roberta's house.OD. The relative humidity is 45% at Harry's school and 50% at Roberta's house. instant help guys please,I need this in about ten minutes. please help I'll give brainiest to correct answer3*9^1+X=27^-x.find x What is the range of the function f(x) = 1/2^x? The product of a number below - 7/10 is 2/10what is the number?-7/207/20- 5/75/7 Need help ASAP!! Find the unknown side of the triangle below (round to the nearest tenth).A.) 210.5 cmB.) 5.4 cmC.) 16 cmD.) 20.5 cm Sorry this is irrelevant but would you eat this What is one positive thing that can happen after a hurricane? please help 100 points Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?4:3 Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. Is this answer correct yes or no? What percentage is 388 ?? hi, please help me with this thank you! Interphase is the part of the cell cycle during which these phases occur:A. Growth 1, Synthesis, Growth 2B. Growth 1, Synthesis, Growth 2, MitosisC. Growth 1 and Growth 2D. Mitosis and Cytokinesis Zola, a nursing assistant, read in her patient Henrys chart that he just found out he has cancer. Which aspect of the privileged communication is she reading?health historymedical symptomslaboratory resultsmedical diagnosis 500 mL of He at 98 kPa expands to 750 mL. Martin Luther's 95 Theses started which movement? Solve these equations as a ordered pair Y= 2x-3Y= -x If the circumference of a circle is 36, what is the length of a radius of the circle?A. 6B. 18C. 36D. 72