Answer:
Step-by-step explanation:
1) First step is writing the Equation out clearly
be - 9c - a
2) Substituting the given values ; a,b & C
3) -5e + 9(-2/3) - (-1)
4) -5e-5 (answer)
Since we were not given the value for e
You did not include the figure, but according to the statement the viewing room of the planetarium is in the shape of a hemisphere.
A hemisphere is half a sphere.
So, the volume of a hemisphere is the half of the volume of the complete sphere.
The formula for the volume of a sphere is:
V = (4/3) π (radius)^3
Using π = 3.14 and radius = diameter / 2 = 50 feet / 2 = 25 feet.
You get:
V = (4/3) (3.14) (25 feet)^3 = 65,416.7 feet^3
Answer: 65,416.7 cu. ft.
Answer:
There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.
Step-by-step explanation:
Consider the provided information.
A multiple choice test consists of nine questions, each of which has three choices.
We need to find the number of ways so that eight answers are correct and one is incorrect.
There is only one correct answer and for incorrect answer we have only 2 choices because 1 choice is correct.
Thus the number of possible ways are:
(2×1×1×1×1×1×1×1×1)+(1×2×1×1×1×1×1×1×1)+(1×1×2×1×1×1×1×1×1)+(1×1×1×2×1×1×1×1×1)+(1×1×1×1×2×1×1×1×1)+(1×1×1×1×1×2×1×1×1)+(1×1×1×1×1×1×2×1×1)+(1×1×1×1×1×1×1×2×1)+(1×1×1×1×1×1×1×1×2) = 2+2+2+2+2+2+2+2+2 = 18
There are 18 ways to fill out the answer sheet so that eight answers are correct and one is incorrect.
y = x - 2.....the slope here is 1. A parallel line will have the same slope
y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b
so ur parallel line is : y = x - 4
