Answer: 1
Step-by-step explanation:
In order to find GCF, take the prime factorization of 3 and 13.
3: 1*3 ==> Prime factorization of 3
13: 1*13 ==> Prime factorization of 3
The common factor is 1.
GCF of 13 and 3 is 1
For this case we have the following expression:
h (t) = - 16t ^ 2 + 122t + 10
We look for the maximum of the function, for this, we derive:
h '(t) = - 32t + 122
We match zero:
-32t + 122 = 0
We cleared t:
t = 122/32
t = 3.8125 s
Then, the maximum height will be:
h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
h (3.8125) = 236.92 feet
Answer:
It takes the boulder to reach maximum height about:
t = 3.8125 s
the boulders maximum height is:
236.92 feet
Answer:
0.44
Step-by-step explanation:
Given the estimated logistic regression model on risk of having squamous cell carcinoma
-4.84 + 4.6*(SMOKER)
SMOKER = 0 (non-smoker) ; 1 (SMOKER)
What is the predicted probability of a smoker having squamous cell carcinoma?
exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))
SMOKER = 1
exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)
exp^(-0.24) / (1 + exp^(-0.24))
0.7866278 / 1.7866278
= 0.4402863
= 0.44
Hey Astute!
Solve: x^2 - 18x = -72
Solution:
x^2 − 18x − (−72) = −72 − (−72) (Subtract -72 from both sides of the equation)
x^2 − 18x + 72 = 0
(x − 6) (x − 12) = 0 (Factor left side)
x − 6 = 0 or x − 12 = 0 (factors have to equal 0)
6 - 6 = 0 or 12 - 12 = 0
Answer:
x = 6 or x = 12
Hope This Helps, Have a Great Day!
We first convert the given equation of the line to slope-intercept form, giving us,
y = -2x - 5
The slope is -2 and the y-intercept is -5. For the new line, the slope should also be equal to -2 and the y-intercept be equal to 2. The equation is then equal to,
y = -2x + 2