1.
yes
x is number of group acts
y is number of indivual acts
2. I would eliminate x by multiplying 2nd equation by -3 then adding
12x+6y=120
<u>-12x-3y=-90 +
</u>0x+3y=30
3y=30
divide by 3
y=10
sub
4x+y=30
4x+10=30
4x=20
divide 4
x=5
each group act takes 5 mins and each individual takes 10 minutes
<u />
0=-10 this is not possible so the answer is no solution
<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
</span></span>
Answer:
∠c = 33°
∠b= 147°
Step-by-step explanation:
A line is 180°, and ∠c + 147° make up a linear pair.
180 - 147 = 33°
∠c is 33°.
∠b and 147° angle are vertical angles, meaning that they have the same angle measure.
∠b = 147°.
Answer:
87.4%
Step-by-step explanation:
The radius to the top of the atmosphere as a fraction of the moon's radius is ...
(2575 +600)/2575 ≈ 1.23301
The ratio of the moon's volume with atmosphere to the moon's volume without is the cube of this, or 1.87456
Then the ratio of the atmosphere's volume to the moon's volume is ...
(1.87456 -1)/1 = 0.87456
Atmospheric haze is about 87.4% of the moon's volume.
_____
We have assumed that the desired ratio is to the solid moon's volume, not the volume of moon and atmosphere together. The latter ratio would be 0.875 to 1.875 or about 46.7%.
