Answer:
52
Step-by-step explanation:
Divide 312 by 6 to find the number of events he swam per year
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πr^2 = area
Half the diameter to get the radius
Substitute the values in:
area = 3.142 x (7)^2
area = 153.958 cm^2
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Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
Answer:
14.04 ft^3
Step-by-step explanation:
2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3
Answer:
B) 5x^2
Step-by-step explanation:

We can divide 50 by 2, we get 25 and we can cancel out x from x^5.
Therefore, we get

= √25x^4
When we take the square root of 25, we get 5 and √x^4 = x^2.
Taking the square root, we get
= 5x^2
Answer: B) 5x^2
Thank you.