Answer:
The product rule for exponents states that to multiply powers with the same base add their exponents. The term “powers” refers to numbers written in exponential form, such as 3^4. “Base” refers to the number that is being raised to the power, and it appears directly to the left of exponent. For instance, in 3^4, the 3 is the base, and the 4 is the exponent, or power.
Hope this helps
Step-by-step explanation:
9514 1404 393
Answer:
(x, y) = (2, 1)
Step-by-step explanation:
Use the second equation to write an expression for x:
x = 1 +y
Substitute that into the first equation:
(1 +y) +4y = 6
5y = 5 . . . . . . . . subtract 1, collect terms
y = 1 . . . . . . . divide by 5
x = 1 +1 = 2 . . . use the expression for x to find x from y
The solution is (x, y) = (2, 1).
645 feet.
Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this
x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215
We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
To find the height that the rocket has reached, we can use the following equation to calculate distance.
s = ut + 1/2 at²
s - distance - h
u - initial velocity - 64 ft/s x 0.3048 m/ft = 19.5 m/s
a - acceleration, since the rocket is travelling upwards against gravitational acceleration, its said to be deceleration. therefore value is -9.8 ms⁻²
t - time taken - t seconds
substituting values in the equation
h = 19.5 ms⁻¹ x t s - 1/2 x 9.8 ms⁻² x (t s)²
h = 19.5t - 4.9t²
