Answer:
Step-by-step explanation:
Linear velocity and angular velocity are related by the formula:
v = ωr
ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.
ω = 2 x 2π x 25/1
ω = 100π
v = 100π x 25
= 2500π feet per minute
Answer:
minus 9, and 1
Step-by-step explanation:
Isaiah will mow 9 lawns in 3 hours at the given rate.
Step-by-step explanation:
Given,
Lawns mowed in 25 hours = 75 lawns
We will find unit rate in terms of lawns;
75 lawns = 25 hours
1 lawn = ![\frac{25}{75}=\frac{1}{3}\ hour](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B75%7D%3D%5Cfrac%7B1%7D%7B3%7D%5C%20hour)
9 lawns = ![\frac{1}{3}*9](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2A9)
9 lawns = 3 hours
Isaiah will mow 9 lawns in 3 hours at the given rate.
Keywords: unit rate, fraction
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Answer:
B
Step-by-step explanation:
The standard form of a quadratic function is y = 3/2x² + 17/2x - 7
<h3>How to determine the
quadratic equation?</h3>
From the question, the points on the quadratic equation are given as
(2,4), (3,5) and (4,3)
The standard form of a quadratic equation is represented as
y = ax² + bx + c
So, we have
Point (2,4):
4a + 2b + c = 4
Point (3,5):
9a + 3b + c = 5
Point (4,3):
16a + 4b + c = 3
Solving using an online calculator. we have
a = 3/2, b = 17/2 and c = -7
Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c
y = 3/2x² + 17/2x - 7
Hence, the equation is y = 3/2x² + 17/2x - 7
Read more about quadratic equation at
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