Answer:
r≈3.95in
Step-by-step explanation:
All you have to do is plug in the given x values. your first equations would read:
f(-3) = 2^(-3)
f(-2) = 2^(-2)
f(-1) = 2^(-1)
these can be solved by moving decimal points or entering them into a calculator. regardless of the method, your answers are:
f(-3) = 0.002
f(-2) = 0.02
f(-1) = 0.2
so just repeat that process to fill in the rest of your table. to graph it, you'll use them as normal (x, y) points:
(-3, 0.002)
(-2, 0.02)
(-1, 0.2)
the graph might be a little difficult, working with such small values, but precision isn't totally important--0.002 will be super close to 0, 0.02 will be slightly further, 0.2 will be slightly further. the smaller values don't matter as much graphically and you'll recognize the graph of a growing exponential as you graph more of the table.
It's answer will be 36x10^5
As we have
(4x10^10)(9x10^-5)
All terms of this expression are being multiplied
So we will solve it in two parts, simple terms and terms having powers
(4x9)(10^10x10^-5)
As we know when same terms having some powers are multiplied, their powers are added
(36)(10^(10-5))
(36)(10^5)
So it will become
36x10^5
1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)



Multiply by 3 by both sides:

Simplify:
2x = 18
x = 18/2
x = 9
4)

Do lowest common denominator:



Simplify by 5 by both sides:


Answer:
Step-by-step explanation:
The volume of a cylinder is the base area times the height.
V=hr^2(pi), and the height is always 8 so
V=(8pi)r^2
V=(8pi)1^2=25.13
V=(8pi)2^2=4(8pi)=100.53
V=(8pi)3^2=9(8pi)=226.19