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agasfer [191]
3 years ago
7

The velocity of an automobile starting from rest is given by the equation below, where v is measured in feet per second and t is

the time in seconds. (Round your answers to three decimal places.) v(t) = 85t 8t + 14 (a) Find the acceleration at 5 seconds. ft/sec2 (b) Find the acceleration at 10 seconds. ft/sec2 (c) Find the acceleration at 20 seconds. ft/sec2
Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

(a) 0.408m/sec^2

(b) 0.134m/sec^2

(c) 0.039m/sec^2

Step-by-step explanation:

We have given velocity as function of t v(t)=\frac{85t}{(8t+14)}

Acceleration is equation rate if change of velocity with respect to time

So a=\frac{dv}{dt}=\frac{(8t+14)85-85t\times 8}{(8t+14)^2}

(a) Acceleration at t = 5 sec

a=\frac{(8\times 5+14)85-85\times 5\times 8}{(8\times 5+14)^2}=0.408m/sec^2

(b) Acceleration at t = 10 sec

a=\frac{(8\times 10+14)85-85\times 10\times 8}{(8\times 10+14)^2}=0.134m/sec^2

(c) Acceleration at t = 20 sec

a=\frac{(8\times 20+14)85-85\times 20\times 8}{(8\times 20+14)^2}=0.039m/sec^2

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melamori03 [73]

Hey There!

Answer Coplanar Points

The term to describe a group of points that lie on the same plane are called.

Coplanar Points

If the points were to lie on the same line, the term to describe this would be called.

Collinear point

Hope this helped!

5 0
3 years ago
6. 4x + 2y = 16<br> | 5x - 2y = 38
Zolol [24]

Answer:

1. Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

2.  Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Step-by-step explanation:

1.

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x + 2y - 16  =   2 • (2x + y - 8)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x+y-8  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+y-8  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000

 y-intercept = 8/1  =  8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 8/2  =  4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.000/2.000 = -2.000

Geometric figure: Straight Line

 Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

Processing ends successfully

2.

Step  1  :

Equation of a Straight Line

1.1     Solve   5x-2y-38  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x-2y-38  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 19/-1 so this line "cuts" the y axis at y=-19.00000

 y-intercept = 38/-2 = 19/-1  = -19.00000

Calculate the X-Intercept :

When y = 0 the value of x is 38/5 Our line therefore "cuts" the x axis at x= 7.60000

 x-intercept = 38/5  =  7.60000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -19.000 and for x=2.000, the value of y is -14.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -14.000 - (-19.000) = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  5.000/2.000 =  2.500

Geometric figure: Straight Line

 Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Processing ends successfully

plz mark me as brainliest :)

4 0
3 years ago
Solve for g please!!!!!!!!!!!!!!
alexandr402 [8]
G = m/5t- Q^2. Hope that helps.
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2 years ago
Three expressions equivalent to the following: -90x + 60
Deffense [45]

Answer:

33beacuse you i have -90×+60=9×6=369-63

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The cone in the diagram below has a radius of 10 mm and its height is 24 mm.
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Slant height l is 26 mm
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