Answer:
the approximate base length of the pyramid is 20.0cm
Answer:
4/9
Step-by-step explanation:
hope it helps!
Each shirt is bought for eight dollars and sold for twelve, so there is four dollars profit per shirt. The twenty dollar constant, however, needs to be covered by the profit.
The inequality is
100>=4x-20
120>=4x
30>=x
The club needs to sell at least 30 shirts to make a profit of at least $100
<h3>
Answer: 20</h3>
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Explanation:
x = total number of students surveyed
According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.
Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.
We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"
So,
(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4
0.125x = (0.075x) + 4
0.125x-0.075x = 4
0.05x = 4
x = 4/0.05
x = 80
There are 80 students surveyed.
Of those eighty students, 0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.
The last step is to calculate how many of the students have black hair based on the sample size we just found.
The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair
Answer:
f(x) = 5*cos(5*x) + 2
Step-by-step explanation:
A general cosine function is written as:
f(x) = A*cos(ω*x) + M
where:
A is the amplitude
M is the midline
ω is the angular frequency.
In this case we know that:
The amplitude is 5, then A = 5
The midline is 2, then M = 2
The period is 2*pi/5
The relation between the angular frequency ω and the period T is:
ω = 2*pi/T
Then if the period is T = 2*pi/5, replacing that in the above equation we find that:
ω = 2*pi/T = 2*pi/(2*pi/5) = 5
ω = 5
Then the function is:
f(x) = 5*cos(5*x) + 2
