Answer:
1. 3 7/12 (decimal: 3.583333)
2. -5 3/28
3. 2 29/40
4. −1 9
/14
For this case we have the following function:

To find the zeros of the function we make
and solve for "x", then:

We multiply by -1 on both sides of the equation:

We factor the equation, for this we look for two numbers that, when multiplied, result in 36 and when added, result in -13. These numbers are -9 and -4.

Thus, the factored equation is:

Therefore, the roots are:

Answer:

Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:

The expected value of robbing the cash register is:

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
V≈653
Step-by-step explanation:
In order to find the volume of a cylinder, you use the formula V=πr2h. In this case, the filled-in formula would be V=3.14*4*4*13. This equals 653.45. In your answer, you need to round to the nearest whole number. In this case, round down to 653. That is your answer. Hope this helps :)
Answer:
1448 mL
Step-by-step explanation:
The mass is the same.
Formula
m = d*V
Givens
<em><u>Olive Oil</u></em>
d = 0.92 grams / mL
V = ??
<em><u>Gasoline</u></em>
d = 0.74 grams / mL
V = 1.8 L = 1.8 L * (1000 ml / L)
V = 1800 mL
Solution
0.74 * 1800 mL = 0.92 * x Divide both sides by 0.92
0.74/0.92 * 1800 mL = 0.92 *x / 0.92 Combine the left
0.8043 * 1800 mL = x
x = 1448 mL
The volume of Olive Oil needed is 1448 mL