The volume of the solid obtained by rotating the region
bounded by the given curves about the specified line would be V ≈ 22 units³. I am hoping that this answer has
satisfied your query about and it will be able to help you, and if you’d like,
feel free to ask another question.
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
<em>Well, 375 is a composite number.
</em>
<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3)
</em>
<em>The exponents in the prime factorization are 1 and 3.</em>
<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375.
</em>
<em>Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. </em><em>Good Luck!</em>
The vertex U' is located at (-4, -5)
<h3>How to determine the location of U'?</h3>
The vertices are given as:
U = (-4, 5)
V = (-6, 2)
The rule of transformation is given as:
Reflection across the x-axis
This is represented as:
(x, y) => (x, -y)
So, we have:
U' = (-4, -5)
Hence, the vertex U' is located at (-4, -5)
Read more about transformation at:
brainly.com/question/11707700
#SPJ1
<u>Complete question</u>
Quadrilateral UVWX is reflected over the x-axis to form quadrilateral U′V′W′X′. If vertex U is located at (-4, 5) and vertex V is located at (-6, 2), then vertex U′ is located at
We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.
For doing this, is better use a three-circles graphic, but we try to do without it.
So
- 16 pool + gym + track, and this number is sure
- 38 gym + pool, but this number includes the people of 1st point. We must know who do only gym + pool: 38 - 16 = 22
- 31 pool + track, this number also includes people of 1st point, so: only pool + track 31 - 16 = 15
- 33 gym + track, this number also includes people of 1st point, so: only gym + track 33 - 16 = 17
now:
- 67 gym, we must know who use only gym: 67 - 16 (gym + pool + track) - 22 (gym + pool) - 17 (gym + track) = 12
- 62 pool, we must know who use only pool: 62 - 16 (gym + pool + track) - 22 (gym + pool) - 15 (pool + track) = 9
- 56 track, we must know who use only track: 56 - 16 (gym + pool + track) - 15 (pool + track) - 17 (gym + track) = 8
now we must now who do some facility: let's sum all
16 + 22 + 15 + 17 + 12 + 9 + 8 = 99
99/100 practise something
So only 1/100 doesn't use nothing
The probability is 1%
