The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative

Answers

Answer 1

Answer: [tex]v=-3[/tex]

Step-by-step explanation:

Given

The position of a particle is [tex]s(t)=-9-3t[/tex]

Velocity is given by the derivative of position with respect to time

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]

So, velocity is constant at any point in time.

At t=8, it is [tex]v=-3[/tex]


Related Questions

100(x-3) = 1,000

What’s the value of x?

Answers

Answer:

x=13

Step-by-step explanation:

100(x-3)=1000,  divide both sides by 100

100/100(x-3)=1000/100

x-3=10, add three to both sides

x-3+3=10+3

x=13

9. Find DP
please help!!!!!!

Answers

Answer:

DP = 15.

Step-by-step explanation:

I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.

D is the midpoint of AB so

2x + 14 = 8x - 52

14+52 = 8x - 2x

6x = 66

x = 11.

So side AD = 2(11) + 14 = 36.

Now PC = PA = 39.

So by pythagoras:

DP^2 = AP^2 - AD^2

= 39^2-36^2 = 225

DP = sqrt 225

= 15.

Find the inverse of the function.
f (x) = (x - 5)3=

Answers

Answer:

i think its  (x - 5)3 = (x) f

Step-by-step explanation:

The length of a rectangular garden is four times its width (w), plus 3 feet. Which expression represents the garden's length in feet?

Answers

Answer: 4w + 3

Step-by-step explanation:

Since the width is represented by w.

The expression for the length of the rectangular garden which is four times its width (w), plus 3 feet will be:

= (4 × w) + 3

= 4w + 3

For example, if the width is 5feet, the length will be:

= 4w + 3

= 4(5) + 3

= 20 + 3

= 23 feet.

what is the answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

Please help !!!!!!!!!​

Answers

Answer: (4,-4)

Step-by-step explanation:

(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining

(4,-4) because it is where the vertex meets the graphed line

Mason wants to buy 3 cans of cat
food for his cats. The store sells 8
cans for $11.44. What is the cost
of 3 cans of cat food?

Answers

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Help plz this is due today

Answers

Answer:

All three are similar!

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify!

Answer:

The three of them are similar.

Step-by-step explanation:

1- Triangle A and Triangle B have two same angles, 37° and 47°, which means the two angles are congruent. According to the Angle Angle Theorem (AA), in two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.

2- First, place both triangles correctly. When you do it, you'll notice that 24≅12, 32≅16, and 9≅4.5:

24/12 = 2 ✓ 32/16 = 2 ✓ 9/4.5 = 2 ✓

According to Side-Side-Side Theorem (SSS), if the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

3- Here, the triangle shows in each one two different angles, sharing only one which is 55°. To know if they are congruent, you can add the two different angles that show both triangles, 72° and 53°, with the 55°. If it gives 180, it means the can be congruent:

55°+72°+53 = 180° ✓

check the point at (11,2) is a solution of the system shown below.

(ignore the question on the bottom)

Answers

Answer: I think the answer is the bottom " the solution

only work on the bottom equation"

Step-by-step explanation:

what is the area of the given figure in square centimeters? 15 3/4 21 3/8 27 39 3/8

Answers

Answer: 21.375 cm2

Step-by-step explanation:

Area of rectangle  = length x width = 3.5 x 4.4 = 15.75 cm2

Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2

Add rectangle and triangle area = 21.375 cm2

Answer:

21 /3/8 cm^2.

Step-by-step explanation:

Area = area of rectangle + area of the triangle

= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2

=  7/2 * 9/2 + 1/2 * 9/2 * 5/2

= 63/4 + 45/8

=  126/8 + 45/8

=  171/8

= 21 /3/8 cm^2.

Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between

Answers

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

Which sign makes the statement true? -7 /10 or 1/5 > < =

Answers

Answer:

-7/10 < 1/5

Step-by-step explanation:

a negative number is always less than a positive number.

Answer:

Step-by-step explanation:

It would be <!

What would be the perimeter??

Answers

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

Decide if the expressions are equivalent. 2.5x and x+5

Answers

if you want to see if they are equivalent just substitute any number such as 2, so 2.5(2) = 5 and 2 + 5 = 7, so they are not equivalent (THIS IS TRUE UNLESS YOU DIDNT PUT THE X VALUE IN THE QUESTION)

LOL what does frickingtriangle + square =6 equal

Answers

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

HELP PLZZZ!! (No link) .itch

Answers

I got an answer of 81.44

The price of 7​-minute phone call is ​$.105 What is the price of 18 ​-minute phone​ call?
The price of 18​-minute phone call is ​$

Answers

Answer:

$.27

Step-by-step explanation:

.105/7*18

WILL GIVE BRAINLIEST, NO LINKS

Find the area of the polygon.

Answers

Answer:

166.3

Step-by-step explanation:

line that shows 8, shows that each of six sides is 8

so that's 48

to get the "apothem"

it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)

so that is square root of 48 which is like 6.928

then plug into the formula

1/2 x 6.928 x 48 which is like 166.27

Simplify the radical expression
[tex]\sqrt5+6\sqrt5[/tex]

Answers

Answer:

Step-by-step explanation:

These are "like terms," as both terms contain √5.  We add the coefficients together but leave the radical term √5 as is:

  √5

+ 6√5

-----------

 7√5

Answer:

√5 +6√5= 7√5

Decimal: 15.65247...

HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS

Answers

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

What is 20 pounds per 5 gallons written as a unit rate? Explain how you got your answer.

Answers

Answer:

20/5=4/1= 4 pounds per gallon.

Step-by-step explanation:

I got that answer by dividing 20/5 and you will get 4. Then you will divide 4/1 because unit rates your supposed to have a denominator of 1. And your answer should be  4 pounds per gallon.

^Hope this helps have a good day, Hazel^

Part B at 10:00 a.m., lin's was 7 meters. Add this point to the graph

at 1:00 p.m., lin was at sea level. add this point to the graph.​

Answers

Answer:

add a graph so we can help you

Step-by-step explanation:

Christine worked 27 hours last month and earned $9 per hour. She spent $15 of her earnings since then. How much money does she have left?

Answers

Answer:

Step-by-step explanation:

228

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

The gradient is m=1/3

Step-by-step explanation:

The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:

Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3

Therefore, the gradient/slope is 1/3.

PLEASE I REALLY NEED HELP PLEASE!!

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?

Answers

Answer:

Potential energy= mass x gravity x height

0.25x9.8x3=7.35 N

hope that answers your question

Step-by-step explanation:

A scary man dressed as a tomato stops you on the street and demands that you do the problem: 6.76 / 1.3 What is your answer to 6.76 / 1.3?

Answers

Answer:

5.2

Step-by-step explanation:

Just divide 6.76 and 1.3, which equals 5.2.

Plsss i need help boys and girls lol FRL :)

Answers

seems to be D would be correct

The table shown below represents a function. Which of the following values could not be used to complete the table?
x
у
-10
-25
-5
5
10
15
20
-20
0-15
0-5

Answers

Answer:

-15

Step-by-step explanation:

100 precent hshssjjdjddjdjdjdjdjdj

Other Questions
What part of the cell gives the ribosomes instructions on how to assemble a protein? How do you believe the priorities of the federal government may have changed with the rising number of African American delegates being elected? what does this quote mean? the dead cannot cry out for justice. it is a duty of the living to do so for them. - lois mcmaster bujold based on the magnetic field lines shown what is the orientation of the mystery magnet ? A man is in the 33% tax bracket and itemizes his deductions how much will his tax bill be reduced if he qualifies for $1400 tax credit? 330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball A shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate Mr. Meadows has a 6 and a 1/2 gallon bucket. His dipping can hold one and a 1/2 gallons. 3 times this year to dip into the pond with the dipping can to fill the bucket to the top can em waves travel at the speed of light?true or false what is the mean of 4, 8, and 18 write an essay that answers these questions: Is Clayton pleased with his new home? How does he believe the area will meet the communitys physical needs? How does he believe it will meet the communitys spiritual needs? The biggest reason for the jump in the 1840s and early 1850s was the ____ Fannine in Ireland. ????????????????????????????? John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth. Group of answer choices $496,000.00 $84,851.28 $571,282.03 $515,840.00 8X=35WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE? HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn? u = 63 cm, t = 34 cm and T=158. Find all possible values of U, to the nearest 10th of a degree. How many three digit numbers can you get by arranging the numbers 5, 6,7, 8, 3, 4, 5, 6, 7, 8, 9? 1)How are the animals grouped?2)In which group,A or B,will you place a mosquito? Give brainliest! F (x) = x + x - x + 2 and G (x) = x + 5 What is (FG)(x)?