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kati45 [8]
3 years ago
10

The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the

distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent?
Answer Choices:

a.The ball travels an average distance of 112 feet from 2 seconds to 5 seconds.

b.The ball falls down with an average speed of 48 feet per second from 2 seconds to 5 seconds.

c.The ball falls down with an average speed of 112 feet per second from 2 seconds to 5 seconds.

d.The ball travels an average distance of 48 feet from 2 seconds to 5 seconds.
Mathematics
1 answer:
DochEvi [55]3 years ago
6 0
Average rate of change = (d(5) - d(2)) / (5 - 2) = (16(5)^2 - 16(2)^2) / 3 = 336 / 3 = 112.

Therefore, <span>the average rate of change of d(t) from t = 2 to t = 5 represents that </span><span>the ball travels an average distance of 112 feet from 2 seconds to 5 seconds.</span>
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Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ \frac{5\log(5)}{\log(5)}

or

⇒ 5

Hence,

log₅(3125) = 5

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3 years ago
Which of the following functions are an example of exponential growth ?
yanalaym [24]

Answer:

i don't know maybe D. 2 and 3

8 0
3 years ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
Solve for X <br> 7x=49 (brainliest)
posledela

Answer:

\huge\colorbox{violet}{ᴀɴsᴡᴇʀ}

Hey There!

The answer = 7 = ( Seventh Track of TS8= Seven )

Step-by-step explanation:

7x = 49 \\ x = 49 \div 7 \\ x = 7

=>

7 \times 1 = 7 \\ 7 \times 2 = 14\\ 7 \times 3 = 21 \\ 7 \times 4 = 28 \\ 7 \times 5 = 35 \\ 7 \times 6 = 42 \\ \bold {7 \times 7 = 49} \\ 7 \times 8 = 56 \\ 7 \times 9 = 63 \\ 7 \times 10 = 7

6 0
3 years ago
Read 2 more answers
Which of the following is a correct tangent ratio for the figure?
Ludmilka [50]

Answer:

tan 76 = 24/8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 76 = 24/8

3 0
3 years ago
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