9514 1404 393
Answer:
(-8)(1) = -8
Step-by-step explanation:
The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...
(-8)(1) = -8
Find the volume of the cylinder and divide by 2:
V = pi * r^2 * h
V = 3.14 * 11^2 * 17
V = 6458.98
Divide by 2 since it's half full:
6458.98 / 2 = 3229.49
Now divide it by 46.2 to see how long it will take to drain out:
3229.49 / 46.2 = 69.902
So it will take approximately 70 seconds to drain out.
Answer:
37.2 mph
Step-by-step explanation:
They are going 0.60 times the speed that converts to 62 mph. Their speed is approximately ...
0.60 × 62 mph = 37.2 mph
Answer:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.
Answer:
x = 1, y = 2, z = -1
Step-by-step explanation:
2x + 4y = 10
2x = -4y + 10
x = -2y + 5
now sub -2y + 5 in for x, back into the other 2 equations
2x + 2y + 3z = 3 -3x + y + 2z = -3
2(-2y + 5) + 2y + 3z = 3 -3(-2y + 5) + y + 2z = -3
-4y + 10 + 2y + 3z = 3 6y - 15 + y + 2z = -3
-2y + 3z = 3 - 10 7y + 2z = - 3 + 15
-2y + 3z = - 7 7y + 2z = 12
-2y + 3z = -7....multiply by 2
7y + 2z = 12...multiply by -3
--------------------------
-4y + 6z = -14 (result of multiplying by 2)
-21y - 6z = -36 (result of multiplying by -3)
---------------------------add
-25y = - 50
y = -50/-25
y = 2 <===
2x + 4y = 10 2x + 2y + 3z = 3
2x + 4(2) = 10 2(1) + 2(2) + 3z = 3
2x + 8 = 10 2 + 4 + 3z = 3
2x = 10 - 8 6 + 3z = 3
2x = 2 3z = 3 - 6
x = 2/2 3z = -3
x = 1 <== z = -3/3
z = -1 <===
