1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
2 years ago
13

(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.
Mathematics
1 answer:
prohojiy [21]2 years ago
7 0

Answer:

The instantaneous velocity at t = 2 is -6.

Step-by-step explanation:

We have the position as the function

s(t) = -2 - 6t

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  s(t) = -2 - 6t

∴ s'(t)=-6

The instantaneous velocity at t = 2

s'(2)=-6

Therefore, the instantaneous velocity at t = 2 is -6.

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

You might be interested in
(1st pic) What is the equation of the line shown in this graph?
vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y=\frac{-5}{2}x+5

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-(-3)}{(-1)-1}

m=\frac{8}{-2}

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m=\frac{Y2-Y1}{X2-X1}

Using given points to find out the slope of a line

m=\frac{Y2-Y1}{X2-X1}

m=\frac{5-0}{0-(-2)}

m=\frac{-5}{2}

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y=\frac{-5}{2}x+5

4 0
2 years ago
1. Where is the circumcenter of a right triangle located?
kifflom [539]
On hypotenuse of the triangle .
Right bisectors of the sides of a right triangle triangle meet hypotenuse.
5 0
2 years ago
Read 2 more answers
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 wee
Katena32 [7]
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 y = 1.5x

 Then, for 5 weeks we have:
 y = 1.5 (5)

y = 7.5 pounds
 Answer:
 
A model that best represents the number of pounds of cereal she eats is:
 
y = 1.5x

 For 5 weeks we have:
 
y = 7.5 pounds
5 0
2 years ago
PLEASE HELP!!!<br><br> i’ll mark brainliest if you’re correct!
ira [324]

Answer:

1.5

Step-by-step explanation:

15/10=1.5

21/14=1.5

Check:

10x1.5=15

Hope this helps!

8 0
2 years ago
How are percent error and percent change similar
mihalych1998 [28]
Percent Change = New Value − Old Value|Old Value| × 100%

Example: There were 200 customers yesterday, and 240 today:

240 − 200|200|× 100% = 40200 × 100% = 20%

A 20% increase.

 

Percent Error = |Approximate Value − Exact Value||Exact Value| × 100%

Example: I thought 70 people would turn up to the concert, but in fact 80 did!

|70 − 80||80| × 100% = 1080 × 100% = 12.5%

I was in error by 12.5%

(Without using the absolute value, the error is −12.5%, meaning I under-estimated the value)

The difference between the two is that one states factual calculations and the other is a theoretical guess
5 0
3 years ago
Other questions:
  • A gate is 3 feet tall and casts a shadow 5 feet long .At the same time a nearby building casts a shadow 45 feet long.
    13·1 answer
  • What is the slope intercept form of this equation -x+y=5
    11·2 answers
  • A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point
    6·1 answer
  • What is the y- intercept for the equation y= 11x +1=
    13·2 answers
  • She purchased 40% of the copies in the store. She has 80 copies of the cd. How many cd were on sale
    7·1 answer
  • Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
    15·1 answer
  • A storage shed is shaped like a triangular prism on top of a cube. What is the surface area of the shed including the floor and
    11·1 answer
  • What is the recursive formula for this geometric sequence?<br><br><br> -3, -21, -147, -1029, ...
    11·2 answers
  • Please can someone help me
    9·1 answer
  • Letx be the profit of a company and let y be the amount the company owner mais, both in thousands of dollars. The graph shows th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!