Answer:
880 in³
Step-by-step explanation:
L = 20, W = 10, H = 8
2(h × W) + 2(h × L) + 2(W × L)
= 2(8*10) + 2(8*20) + 2(10*20)
= 2(80) + 2(160) + 2(200)
= 160 + 320 + 400
= 880 in³
Answer:
B. A cow of 5 years is predicted to produce 5.5 more gallons per week.
Step-by-step explanation:
Let
, where
is the age of the dairy cow, measured in years, and
is the predicted milk production, measured in gallons per week.
Besides, we consider
and
, such that
, we define the difference between predicted milk productions (
) below:
(1)
If we know that
and
, then the difference between predicted milk productions is:

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.
Answer:
x= 7
Step-by-step explanation:
1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6
2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4
3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12 (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)
4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14
5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)
Final Step: x=7
Answer:
Initial temperature;
432.76
Common ratio;
-0.067
Equation;

Step-by-step explanation:
In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.
Answer:
1 1/4
Step-by-step explanation: