Answer:
15 girls
Step-by-step explanation:
5 + 3 = 8
24 ÷ 8 = 3
3 · 5 = 15
Check:
3 · 5 = 15
3 · 3 = 9
9 + 15 = 24
I hope this helps!!
Original line: y=1/2x-9
Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.
New line: y=-2x+b
To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:
2=-2(3)+b
Now, solve for b.
2=-6+b
Add 6 to both sides.
8=b
The y intercept is 8.
Now, your perpendicular line equation is:
y=-2x+8
I hope this helps :)
Answer: 84%
Step-by-step explanation:
1. You divide: 63/75
2. Your answer is 0.84
3. You convert it into a percent by moving the decimal two times to the right
4. You get 84%
Answer:
132 feet per second
Step-by-step explanation:
multiply the mileage by 1.467 and round
Answer: F = 25.1 kHz
Step-by-step explanation:
Time (period) = 250 × 10^-6 s
Let's first calculate the folding frequency. Given by
NF (rad s-1) = π/Δt
where NF = Nyquist frequency
t = time increment between observations.
The original signal must be filtered by analog or physical methods to remove all frequencies higher than the Nyquist frequency before the signal is sampled or digitized.
F = 3.143/0.00025
F = 12566.37Hz
minimum sampling rate = 2F
2 × 12566.37 = 25132.74Hz
minimum sampling rate = 25.1 KHz
