The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
​Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele

Answers

Answer 1

Answer:

1001 m/s

300 [tex]m/s^2[/tex]

0.299.

Step-by-step explanation:

Given that:

[tex]D=f(t)=t^3+1[/tex]

[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].

[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]

To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.

Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:

[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]

[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]

Relative rate of change:

[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]


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Answer:

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Step-by-step explanation:

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Answer:

You will need to figure out how much it is going up by

Step-by-step explanation:

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Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
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Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

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Answers

45$ since there are 3 even numbers so 3x10= 30 and 1&3= 6 1 five which is 8. Now we add 30+6+8

Helpppppppppppppppp it is due now

Answers

the answer is : 120


you add 15+45 then subtract by 180

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Answers

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

ASAP Evaluate the expression: 20.16(0.375)

Answers

Answer:

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Step-by-step explanation:

Just multiply

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Answer:

Hii

The answer is 7.56.

Step-by-step explanation:

you multiply the value outside of the bracket with the value inside of the bracket.

PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?

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Answers

Answer:

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Step-by-step explanation:

Write 7 more than w is 25 as an algebraic equation.

Answers

Answer:

w+7=25

Step-by-step explanation:

if you need it solved its

w+7=25

   -7 -7  

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Answer:

7+w=25

Step-by-step explanation:

when it says more than, that's addition, so 7 more than w is 7+w

25 is the answer so that's self explanatory

How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Which is true of the standard form of the equation of the line graphed the value of a can be

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Answer:

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?

Step-by-step explanation:

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Mrs. Ryan purchased 25,000 grams of clay for her art classes at school. If she has 100 students, how many grams of clay will each student get if it is divided equally?

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Answers

250 grams. Have a nice day

What is 70% of 150?........

Answers

Answer:

105%

Step-by-step explanation:

I hope this helped.

Answer:

105

Step-by-step explanation:

iI just pulled up a percentage calculator...

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

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Answers

2/3 I think I hope it’s right

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e
f.
f

Answers

Answer:

Step-by-step explanation:

its a or e

Answer:

A

Step-by-step explanation:

A is bicycles to skateboards which is 10:6

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Answer:

33 1/3

Step-by-step explanation:

PLEASE HELP I SUCK AT MATH

Answers

The answer to the question is B. [tex]y=4x[/tex]

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which set of ordered pairs does not show y as a function of x​

Answers

Answer:

b does represent a function

Answer:

c

Step-by-step explanation:

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Answers

Answer:

So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.

So when it says X -4

                          Y 5

Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)

Step-by-step explanation:

I really hope this helps you its hard to describe over type:(

Good luck:))

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Answers

Answer:

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Step-by-step explanation:

my teacher went over this in class

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Answers

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.

Therefore,

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The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

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y = -3x + 25

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To learn more about slope, refer to:

brainly.com/question/16949303

#SPJ2

To visit her grandmother, Jessica takes a horse 3.31 kilometers and a motorcycle 1 kilometer.
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Answers

Total journey of Jessica is 4.31 kilometer.

To visit her grandmother, Jessica takes a horse 3.31 kilometer and a motorcycle 1 kilometer.

What is Total distance?

The actual distance between the places from which the material is transported to the destination place is called Total distance.

Total journey of Jessica = 3.31 + 1

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So total journey travel by Jessica is 4.31 kilometer.

Learn more about the Total distance visit:

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A number decreased by 22 is 44. Which equation can be used to solve this problem

Answers

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

Hope this helps please mark brainliest :D

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

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Step-by-step explanation:

I need help desperately

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Answer:

B is the answer

Step-by-step explanation:

Look at where the decimal is placed and the value of the numbers

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Answers

the answer would be ≈43.7

You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet

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