Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
Answer:

Step-by-step explanation:
Remember the rule for converting radicals and exponents into fractions. The power is the numerator of the fraction, and the nth root is the denominator of the fraction. Also, remember that dividing by an exponent means the exponent will be negative.
![\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%5E%7B8%7D%20%7D%20%7D%7B%5Csqrt%5B6%5D%7By%5E%7B5%7D%20%7D%20%7D%20%5C%5C%5C%5C%5Cfrac%7Bx%5E%7B%5Cfrac%7B8%7D%7B3%7D%20%7D%20%7D%7By%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%20%5C%5C%5C%5Cx%5E%7B%5Cfrac%7B8%7D%7B3%7D%7Dy%5E%7B-%5Cfrac%7B5%7D%7B6%7D)
Answer:
a) 0.6561
b) 0.2916
c) 0.3439
Step-by-step explanation:
We are given the following information:
Let us treat high level of contamination as our success.
p = P(High level of contamination) = P(success) = 0.10
n = 4
The, by binomial distribution:

a) P(No high level of contamination)
We put x = 0, in the formula.

Probability that no lab specimen contain high level of contamination is 0.6561
b) P(Exactly one high level of contamination)
We put x = 1, in the formula.

Probability that no lab specimen contain high level of contamination is 0.6561
c) P(At least one contains high level of contamination)

Probability that at least 1 lab specimen contain high level of contamination is 0.3439
Answer:1.2
Step-by-step explanation:
Answer: 24 ÷ 3
Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)