Answer:
6.8 hours.
Step-by-step explanation:
200/4 = 50
340/50 = 6.8
Answer:
x = -2,1, 2
Step-by-step explanation:
g(x) = (x + 2)(x − 1)(x − 2)
Assuming we are looking for the roots
0 = (x + 2)(x − 1)(x − 2)
Using the zero product property
0 = x+2 0 =x-1 0 = x-2
x=-2 x = 1 x =2
Answer:
The vertex for the function f(x) = 3(x – 2)2 + 4 is at (2, 4).
Step-by-step explanation:
Find the vertex for f(x) = 3 (x - 2)^2 + 4
f(x) = 3 (x - 2)^2 + 4 can also be written as:
y = 3 (x - 2)^2 + 4
To find critical points, first compute f'(x):
d/(dx)(3 (x - 2)^2 + 4) = 6 (x - 2):
f'(x) = 6 (x - 2)
Solve 6 (x - 2) = 0
6x - 12 = 0
6x = 12
x = 2
iI you substitute x = 2 in 3 (x - 2)^2 + 4 then you get:
y = 3 (x - 2)^2 + 4
x = 2
y = 3 (2 - 2)^2 + 4
y = 3 (0)^2 + 4
y = 3 (0) + 4
y = 4
Answer: The vertex for the function f(x) = 3(x – 2)2 + 4 is at ( 2, 4 ).
Your set is 2, 5 and 8.
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ =
√6 = 2.45
In conclusion, the standard deviation can be calculated by the formula:
Answer:
44°
Step-by-step explanation:
Given:
m<DOC = 44°
m<COB = 80°
Required:
Angle measure of arc DC
SOLUTION:
A central angle is said to be equal to the angle measure of the arc it intercepts or corresponds with. Therefore, angle measure of arc DC = m<DOC.
measure of arc DC = 44°