Answer:
x = ±5
Step-by-step explanation:
4x^2 = 100
Divide each side by 4
4/4x^2 = 100/4
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
<span>Cylinder Volume = </span><span>π <span>• r² • height
</span></span><span>Cylinder Volume = 3.14 * 16^2 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
19,292.</span></span></span> cubic meters
My answer is much too big for those choices.
So, I'm guessing that 16 meters is the diameter.
If that's the case, radius = 8 meters and
Cylinder Volume = 3.14 * 8^2 * 24
<span>Cylinder Volume = 3.14 * 64 * 24
</span>Cylinder Volume =
<span>
<span>
<span>
4,823.04
</span>
</span>
</span>
cubic meters
So answer is "c"
Answer:
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Step-by-step explanation:
If x is the liters of 25% solution, and y is the liters of 10% solution, then:
x + y = 120
0.25x + 0.10y = 0.20(120)
Solve the system of equations using substitution or elimination. Using substitution:
0.25x + 0.10(120 − x) = 0.20(120)
0.25x + 12 − 0.10x = 24
0.15x = 12
x = 80
y = 40
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
Answer:
-44
Step-by-step explanation:
We have the expression
We need to find the value of the expression when x = -3 and y = 4
Then we must replace the variable with the number -3 and the variable y with the number 4
This is:
Remember that the absolute value always results in a positive number.
So
the answer is -44
