Hello,
P(x)=x^3+2x²-23x-60
P(-4)=(-4)^3+2*(-4)²-23*(-4)-60=0
P(-3)=(-3)^4+2*(-3)²-23*(-3)-60=0
P(5)=5^3+2*5²-23*5-60=0
Zeros are -4,-3,5
Answer:
VT = 50√3 , PT = 50
Step-by-step explanation:
Given
PV = 100
With reference angle 60°
hypotenuse (h) = 100
perpendicular (p) = ?
Now
Sin 60° = p/h
√3 / 2 = p / 100
p = √3 * 100 / 2
p = 50√3
Also
With reference angle 30°
hypotenuse (h) = 100
perpendicular (p) = ?
sin 30° = p/h
1/2 = p / 100
p = 100 / 2
p = 50
Hope it will help :)
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
Answer:
8^4
Step-by-step explanation:
Here we have:
8^6 · 8³
-------------
8^5
That's multiplication in the numerator. The appropriate rule of exponents states that:
8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.
Now we have
8^9
------
8^5
and the appropriate rule for division here is
8^a / 8^b = 8^(a - b)
So our:
8^9
--------- 8^(9-5) = 8^4
8^5
