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Alika [10]
3 years ago
6

The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is me

asured in meters. Find the velocity of the particle for t = 7 seconds.
152 m/s
47 m/s
733 m/s
299 m/s
Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer: 299 m/s

Step-by-step explanation:

The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.

To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.

v(t) = 6t^2 + 5

Now input 7 in for t to find the velocity.

v(7) = 6(7)^2 + 5

v(7) = 299 m/s

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The value of polynomial 5x-4x^2+3, when x=-1<br>​
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Answer:

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Step-by-step explanation:

\text{Given that,}\\\\5x-4x^2 +3 \\\\\text{When}~ x = -1,\\\\~~~5(-1) -4(-1)^2 +3 \\\\=-5-4(1)+3\\\\=-5-4+3\\\\=-5-1\\\\=-6

8 0
2 years ago
50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The t
nekit [7.7K]

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

4 0
3 years ago
8.5 written as a decimal??
Galina-37 [17]
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5 0
3 years ago
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katen-ka-za [31]

Step-by-step explanation:

(b) If F_G = m_1g, then

m_1g = G\dfrac{m_1m_2}{r^2}

Note that m_1 cancel out so we get

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5 0
2 years ago
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