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Soloha48 [4]
3 years ago
5

The equation for the position of an object at time t is represented by the equation f(t)=4t^2-2t. Which equation represents the

instantaneous velocity at any given time, t?
Mathematics
2 answers:
max2010maxim [7]3 years ago
8 0

Answer:

The equation that represents the instantaneous velocity at any given time, t is:

v (t) = 8t -2

Step-by-step explanation:

In physics, the equation that describes the instantaneous velocity of an object is the derivative of the position of this object as a function of time.

In this problem we have the function that describes the position of the object at a time t.

f (t) = 4t ^ 2-2t

Therefore to obtain the instantaneous velocity we derive f (t) with respect to time

\frac{df(t)}{dt} = 2(4)t-2\\\\\frac{df(t)}{dt} = 8t-2 = v (t)

Finally the equation of velocity is:

v (t) = 8t -2

Elza [17]3 years ago
3 0

Answer: I just took the test and got 100%  

1. C, 2

2. D, v(t) = 8t - 2  

3. B, 902 mi/min

4. A, the car is slowing down at a rate 10 mi/h^2

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ollegr [7]

Answer:

y = -1/2x +1

Step-by-step explanation:

The y intercept is 1 (this is where it crosses the y intercept)

(0,1) and (2,0) are two points on the line

The slope is given by

m = (y2-y1)/(x2-x1)

   = (0-1)/(2-0)

   = -1/2

The slope is -1/2

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

y = -1/2x +1

8 0
3 years ago
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Simplify -3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3).
MissTica

Answer:5p^3-2p^2-7p+1

Step-by-step explanation:

-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)

open brackets

-3p^3+5p-2p^2-4-12p+5+8p^3

Collect like terms

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May anyone help please
lapo4ka [179]

Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.

Check the ratios of the larger number to the smaller number:

A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729

B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879

C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637

D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135

4 0
3 years ago
the lowest temperature ever recorded on earth's surface was −128.5°f. the highest temperature was 262.5°f higher than the lowest
vlabodo [156]

Answer: 134 °f

Step-by-step explanation:

Lowest is -128.5 °f, the highest is 262.5 °f higher than the lowest.

you would simply add 262.5 °f to your -128.5 °f, giving you 134 °f.

another way of doing this is subtracting 128.5 from 262.6

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