Answer:
The multiplicative rate of change is
Step-by-step explanation:
You are given the function
First, use the following property of exponents
So, your function is
If the exponential function is written in the form
then b is the multiplicative rate of change for this exponential function.
In your case, the multiplicative rate of change is
The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Given the equation as a model, h(t) =–16t² + 72t.
Average speed from 3 to 4 seconds =
<em>Find h(4):</em>
h(t) =–16t² + 72t
- Substitute 4 for t in the equation h(t) =–16t² + 72t
h(4) = -16(4)² + 72(4)
h(4) = -256 + 288
h(4) = 32
<em>Find h(3):</em>
h(t) = -16t² + 72t
- Substitute 3 for t in the equation h(t) =–16t² + 72t
h(3) = -16(3)² + 72(3)
h(3) = -144 + 216
h(3) = 72
Plug in the value into :
average speed from 3 to 4 secs =
Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Learn more about average rate of change on:
brainly.com/question/11627203
We develop two equations based on the given diagram. We let x be the length from C to the point meeting the endpoint of 5. We let y be the length of CD.
First, we determine the length from D to the endpoint of line measuring 9 cm. We use the Pythagorean theorem.
l = sqrt ((3)² + 5²)
l = 5.83
Then, the equations that can be developed or established are:
x² + 6² = y²
9² + (5 + x)² = (y + 5.83)²
In solving for x and y, we use substitution.
From the first equation,
y = sqrt (x² + 36)
We substitute this to the second equation y.
The value of x is 9.51.
y = sqrt (9.51² + 36) = 11.25.
Calculate for the area of the bigger triangle.
A = 0.5(9 cm)(5 + 9.51 cm) = 65.295 cm²
Also calculate for the area of the smaller triangle,
A = (0.5)(6 cm)(9.51 cm) = 28.53 cm²
The difference between the areas is 36.765 cm².
<em>ANSWER: 36.77 cm²</em>
Answer:
Hi! The answer to your question is D. 7/6
Step-by-step explanation:
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The third is the correct answer because when you reduced 25/65 you will get 5/13