h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]
Answer:
1
Step-by-step explanation:
If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.
A function for the rate of change of G(t) is given by G'(t).
G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.
d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2
G'(t) = -2t + 2
This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.
So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1
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D.) because there are 5 caterpillars in every tree (t) and then you have to add the 10 that are on the ground giving you the total amount of caterpillars (c)
Answer:
675$
Step-by-step explanation:
got it right
Answer:
Option B) is a continuous probability distribution
Step-by-step explanation:
Properties of a normal probability distribution:
- The mean, mode and median of the data is same.
- It is a continuous probability distribution.
- The area under the curve is 1.
- The probability that any random variable X at a particular value is zero.
Thus, from the properties of normal distribution, the correct answer is:
Option B) is a continuous probability distribution
(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.
5x-(7)=8
5x=8+7=15
x=3
=>
a=3
