Answer:
Option A) 32
Step-by-step explanation:
Given the quadratic function, g(x) = x²- 5x + 8:
In order to evaluate and determine the output value given g(8), substitute the input value into the function:
g(x) = x²- 5x + 8
g(8) = (8)²- 5(8) + 8
g(8) = 64 - 40 + 8
g(8) = 32
Therefore, the correct answer is Option A) 32.
I understand that it means that out of every 10 hours, a cat spends 7 sleeping (not 7 hours in a day).
this means that a cat is sleeping
a percentage stays constant, this means that a cat sleeps 70 % of each 10 hours, but also 70% of the day.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
m∠XAZ = 40°
Step-by-step explanation:
Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.
Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°
50° + 90° + m∠XAZ = 180°
m∠XAZ = 180° - 140°
= 40°
Therefore, measure of angle XAZ is 40°.
X=26
This is because KM is equal to 104 and 104 divided by 4 (due to there being 3x and x)is equal to 26 and if you do 104 + 256 you will get 360
