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

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 <!

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 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:

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:

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

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

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 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

LOL what does frickingtriangle + square =6 equal

Answers

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

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...

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)

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° ✓

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

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.

HELP PLZZZ!! (No link) .itch

Answers

I got an answer of 81.44

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.

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

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

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 answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

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

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.

PLEASE I REALLY NEED HELP PLEASE!!

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

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

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:

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

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

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)

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