Answer:
The 30-minute meeting of eight mechanics being paid $16 an hour, costed the garage $64!
Step-by-step explanation:
First, identify what you know:
1) A single mechanic is paid $16 an hour.
2) Eight mechanics, being paid $16 an hour, met.
3) The meeting lasted 30 minutes, or half an hour.
If a mechanic makes $16 dollars in one hour (60 min), how much would they make in half an hour? Since they worked for half an hour, they'd make half an hour wage!
$16/2 = $8
So, now if each of the eight mechanics were paid $8 for the half hour meeting, how much would it cost the garage?
$8 x 8 = $64
The garage would have had to pay $64 in total to the mechanics for their 30 minute meeting.
9514 1404 393
Answer:
1816.7 in³ ≈ 29,769.6 cm³
Step-by-step explanation:
The surface area of a sphere is given by the formula ...
A = 4πr²
Then the radius is ...
r = √(A/4π) = (1/2)√(A/π)
The volume of a sphere is given by the formula ...
V = 4/3πr³
Using the above value of r, we find the volume to be ...
V = (4/3)π(1/2)³(A/π)^(3/2) = 1/6√(A³/π) ≈ 1816.7 in³
__
The answer is requested in cm³. The conversion factor is (2.54 cm/(1 in))³, so this volume is ...
(1816.7 in³)·(2.54 cm/(1 in))³ = 29,769.6 cm³
_____
<em>Additional comment</em>
We suspect an error in the problem statement, as the given units are square inches and the requested volume is in cubic centimeters. Usually, there would be an explicit statement regarding the necessity for units conversion.
Answer:
∠PST = 45°
Step-by-step explanation:
The diagonals of a square bisect the angles
∠SPQ = 90° ⇒ ∠SPT = 45°
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
Answer:
1/4
Step-by-step explanation:
3/12=
3÷3/12÷3=
1/4
