Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:
and
which is -11
From 3 to 6 seconds, the rocket is falling 11 yards per second.
1. 103-22 = 81
2 10.2-3y+2x is already in simplest form
Answer:
Expectation=240
standard deviation=3.098
Step-by-step explanation:
This is a binomial probability function with n=250 and probability of success is 96%
-The expected value is calculated as:
Hence, the expected germination is 240 seeds
b. From a above, we have the value of p=0.96 and n=250.
The standard deviation of germination is therefore calculated using the formula:
Hence, the standard deviation of germination is 3.098
Answer:
-1/3
Step-by-step explanation:
The product of 10 and a number is 3 less than the number.
Ok, lets call this number x.
10x = x-3 is how to algebraically write this out.
now, lets subtract x from both sides
9x = -3
Divide by 9
x = -1/3
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
