(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answers

Answer 1

Answer:

The instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Step-by-step explanation:

We have the position as the function

[tex]s(t) = -2 - 6t[/tex]

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  [tex]s(t) = -2 - 6t[/tex]

∴ [tex]s'(t)=-6[/tex]

The instantaneous velocity at [tex]t = 2[/tex]

[tex]s'(2)=-6[/tex]

Therefore, the instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Please note that the negative value indicates the direction of movement, in this case, it would be backward.


Related Questions

Simplify the following expression: 15 POINTS

5(-9 + 2x) + 6(8 - 9x)

ASAP PLEASE FAST

Answers

3-44x

hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section

How do you compare proportional relationships

Answers

Answer: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Step-by-step explanation:

A game decreased in price by
1/3
After the reduction it was priced at £26.
What was the original price of the game??

Answers

Answer: £78

Step-by-step explanation

It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.

26 × 3 = £78

i need helppp. thanks you!!!

Answers

Answer:

I believe that It would be L.

The coach recorded the yards gained or lost by his football team during the first four plays of a game.

First play: –6 yards
Second play: 7 yards
Third play: –15 yards
Fourth play: 11 yards

How many total yards did the team get in this set of plays?

Answers

Answer: -3 yards


Reason: I did the math

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What is the length of each side of the triangle?
65 cm, 55 cm, 45 cm
55 cm, 60 cm, 50 cm
45 cm, 60 cm, 60 cm
not enough information to solve

Answers

its the second option

Answer:

their is not enough information to solve this problem.

Solve for X. -15=22x+7

Answers

Answer:

x=-1

Step-by-step explanation:

-15=22x+7

Subtact 7 both sides

-15-7=22x+7-7

-22x=-22

Divide both sides by -22

-22x=-22

x=-1

What is the y=mx+b of this?

Answers

I think it’s y=-1x+ -8 or could be written as y=-1x-8

Which of these is a factor of 10?



A. 20

B. 2

C. 4

Answers

Answer:

B. 2

Hope this helps!

Step-by-step explanation:

The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.

30 points!! WILL GIVE BRANLIEST!!Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large rectangles of thick cardboard with a length of 12 inches and width of 8 inches to make the boxes. She is interested in maximizing the volume of the boxes and wants to know what size squares to cut out at each corner of the cardboard (which will allow the corners to be folded up to form the box) to do this. What is the maximum volume?

Answers

Answer: 14

Step-by-step explanation:

Please help!(fractions) if 2/3b is equal to 2/7, what is b (fractions)

Answers

Answer:

b=[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]b=[tex]\frac{2}{7}[/tex] multiply by reciprocal

Quand on selectionne son premier pokemon on a le choix entre salameche carapuce bulbizarre ou pikachu

Answers

ayooo what is this is  are some kind a nerd lol

Answer:

vous avez le choix entre la charmander bulbasaur et  

squirtle

You have the choice between charmander bulbasaur and squirtle

Step-by-step explanation:

Here i translated it from english to french

je l'ai traduit entre l'anglais et le français

If f(x) = -5x – 8 and g(x) = 2x + 1, then what is (f o g)(5.7)

A -36.5
B -70
C -72
D 12.4

Answers

D might be I think not to sure

Jarome is 6 feet tall and cast a shadow that is 8 feet long. If a tree is 24 feet tall, how long will it's shadow be?



27 feet


32 feet


30 feet


18 feet

Answers

Answer:

32 feet

Step-by-step explanation:

6 = 8

24 = ?

24 × 8 = 197

197 ÷ 6 = 32.

Answer:

32 feet

Step-by-step explanation:

ratio 6:8 simplified is 3:4

[tex]\frac{3}{4}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{24}{32}[/tex]

32 Feet

Can anyone help its due in 10 minuets!

Answers

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

ALGEBRA 1 HW< please help to give explanations

Answers

Please refer the attached pictures.

Hope this helps! :D

Answer:

See below

Step-by-step explanation:

a)

11x^2 + x^2 = (4x + 8)(3x - 3)12x^2 = 12x^2 + 24x - 12x - 2412x - 24 = 012x = 24x = 2

b)

x/3 - x/9 = 63x/9 - x/9 = 62x/9 = 62x = 54x = 27

c)

6^(x + 9) = 36^x6^(x + 9) = 6^(2x)x + 9 = 2x 2x - x = 9x = 9

d)

4/9 + 1/a = 2/31/a = 2/3 - 4/91/a = 6/9 - 4/91/a = 2/9a = 9/2

e)

√x + 3 = 6x + 3 = 6^2x = 36 - 3x = 33

f)

1.2m - 0.2 = 3.8 + m

1.2m - m = 3.8 + 0.20.2m = 4m = 4/0.2m = 20

g)

(x + 12)^2 = 9x + 12 = ± 3x = ± 3 - 12x = - 9, x = - 15

What is |5.4|?
What is the opposite of 10?

Answers

Answer:

-10

Step-by-step explanation:

Answer:

1. 5.4

2. The additive inverse is the negative value, -10.

The multiplicative inverse (reciprocal) is 1/10.

Step-by-step explanation:

1. Since the value within the absolute value is not negative then the value remains the same.

2, The opposite of positive 10 could be -10. The reciprocal is 1/10.

Please help! im so confused.
i just need you to fill in the blanks. there should be a picture.
I will give you brainiest if you can do all 3!!

tysm! :)

Answers

Answer:

Bestieeeeeeeeeeeeee we need to talk

Step-by-step explanation:

Pleaseeeee its   important

can you help me?
its math

Answers

Answer:

x<-72

The student divided by 6 instead of multiplying by 6

Step-by-step explanation:

Correct:

x÷6<-12

multiply each side by 6

x<-72

What the student did:

x÷6<-12

divide by 6

x÷6<-2

The student divided by 6 instead of multiplying.

You have given an equal sided triangle with side length a. A straight line connects the center
of the bottom side to the border of the triangle with an angle of α. Derive an expression for
the enclosed area A(α) with respect to the angle (see drawing

Answers

Answer:

First case;

α < 90°

The area of the shaded triangle = 1/8·a²·sin(60)sin(α)csc(120 - α)

Second case;

α > 90°

The shaded area of the triangle =  1/8·a²·sin(60)sin(180 - α)csc(60 - α) + (a²·√3)/4

Step-by-step explanation:

First case;

α < 90°

The given parameters are;

The type of triangle = Equilateral triangle

The length of the sides of the triangle = a

The area of the triangle = 1/2×a×b×sinC

Where;

a and b are two legs (sides) of the triangle and C is the included angle

e/(sin(α)) = a/(2sin(120 - α)) = f/(sin60)

f = a·sin(60)/(2sin(120 - α))

The area of the triangle = 1/2 × a·sin(60)/(2sin(120 - α))×a/2 × sin(α)

By an online application, we have

1/2 × a·sin(60)/(2sin(120 - α))×a/2 × sin(α) = 1/8·a²·sin(60)sin(α)csc(120 - α)

The area of the triangle = 1/8·a²·sin(60)sin(α)csc(120 - α)

Second case;

α > 90°

The shaded area of the triangle = The area of the equilateral triangle - The unshaded area of the triangle

With an online tool, we have;

The shaded area of the triangle = (a²·√3)/4 - 1/8·a²·sin(60)sin(180 - α)csc(120 - (180 - α)

The shaded area of the triangle =  1/8·a²·sin(60)sin(180 - α)csc(60 - α) + (a²·√3)/4

Find the slope of the line y
= -1/8x + 7/6

Answers

Answer:

The slope is -1/8 and the y intercept is 7/6

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/8 x + 7/6

The slope is -1/8 and the y intercept is 7/6

Luis has a pyramid shaped plant pot. It has a square base with a side length of 36 cm, and the height of the pot is 36 cm. Luis wants to fill the pot with soil so that the soil takes up 75% of the pot's volume. How far up the pot will the soil reach?

Answers

Answer:

The required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Step-by-step explanation:

The volume of a pyramid is given as

[tex]V = \frac{1}{3} \times A \times h[/tex]

Where V is the pot's volume, A is the base area and h is the height.

Our base is a square, so the base area, if s denotes the side length, would be s x s.

s = 36cm, therefore we have A = 36cm X 36cm = 1296cm².

The height is given as 36cm, therefore we have our volume to be:

[tex]V = \frac{1}{3} \times 1296cm^2 \times 36cm[/tex]

[tex]V = 15552cm^3[/tex]

Since Luis wants to fill 75% of the pot's volume with soil. Then it will take

[tex]\frac{75}{100} \times 15552cm^3 = 11664cm^3 [/tex]

Thus, the required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

What is the answer???

Answers

Answer:

AC < CD

RQS > QST

Step-by-step explanation:

The side that sees the bigger angle has a bigger length and so the side that sees the smaller angle has the smaller length in size.

The answer:
AC < CD
RQS > QST

A stock loses $1.50 each day over a five-day period. What is the total change in the value of the stock at the end of five days? (remember to have two numbers after the decimal)

Answers

Given:

A stock loses $1.50 each day over a five-day period.

To find:

The total change in the value of the stock at the end of five days.

Solution:

Stock loses each day = $1.50

We know that, loss or reduction represented as negative change.

So, change in the value of the stock per day = -$1.50

Change in the value of the stock in 5 days = 5×(-$1.50)

                                                                       = -$7.50

Therefore, the change in the value of the stock at the end of five days is -$7.50. It means, the value of the stock loses $7.50 at the end of five days.

What is the slope of the line

Answers

Answer:

[tex]\huge\boxed{\frac{1}{2}}[/tex]

Step-by-step explanation:

In order to find the slope of a line, we need to find it’s rise over it’s run.

To do this, we need to find the change in y, and divide that by the change in x between any two given points.

[tex]\frac{\Delta y}{\Delta x}[/tex]

Two points on this graph that we can compare are are (-1, 3) and (1, 4).

From -1 to 1 is 2 points. So, the change in x is 2.

From 3 to 4 is 1 point. So, the change in y is 1.

Divide the change in y by the change in x:

[tex]1 \div 2 = \frac{1}{2}[/tex]

So the slope is 1/2.

Hope this helped!

the slope is 1/2
because the finding the slope is rather easy u find two points were the line passes through a point and count up and over till you get to the other point in this case u count up 1 and over 2 therefore it’s 1/2 and the line is higher on the right so it’s not negative

katya tutors and works in the college bookstore to pay for her college tuition. she makes $20 per hour tutoring and $8.50 per hour working in the bookstore.

Answers

What’s the question?

Please help picture below

Answers

Answer:

9 or 23

Step-by-step explanation

It depends of if D is an endpoint or in the middle.

If D is an enpoint, the length of BM is 16-7=9.

If it’s a midpoint, then BM is 16+7=23.

Michael borrowed $4,500 from the bank. The bank charged a simple interest rate of 10.5% for the 3 years he had the bank loan. What was the total cost of the loan?

Answers

Answer:

142.85?

Step-by-step explanation:

pakisagoat HAHAHAHAHHWHAHAH

Answers

Answer:

wdym

Step-by-step explanation:

If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?

Answers

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

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