Answer:
The answer is 8
Step-by-step explanation:
Plug -2 in for x. The double-negative inside the parenthesis makes it positive, then do the exponent.
Answer:
π/90 or 0.0035 units
Step-by-step explanation:
equation: <em>length of the arc = ∠of the angle/360 * circumference</em>
Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr
Simplify: S = 1/900 * 10π
Simplify: S = π/90 ≈ 0.003489 units
Answer:
That is 74 years.
Step-by-step explanation:
1.5% = 0.015.
The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.
Triple the population is 430,000 * 3 = 1,290,000, so:
1,290,000 = 430,000(1.015)^n
(1.015)^n = 1290,000 / 430,000 = 3
Taking logs of both sides:
n log 1.015 = log 3
n = log 3 / log 1.015 = 73.8 years
Answer:
10
Step-by-step explanation:
the radius is from center out.
Okay so for substitution, chose one of of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
x=4y+16.
Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)
Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36
Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.
Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!
You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16:
x+4(-30)=60
Solve for x:
x-120=60
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180
I hope this helped:)