It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.
The answer is approx. 10.8 per hour.
If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.
Lets answer the information by making it look like a budget subtraction:
60 = Total
1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.
60 - 7.50 = 52.50
2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.
52.50 - 14 = 38.50 Pizza 1
38.50 - 14 = 24.50 Pizza 2
24.50 - 14 = 10.50 Pizza 3
Now, theres not enough to buy another.
So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.
3. Multiply the number of slices by the number of pizzas.
8 x 3 = 24
So, the largest number is 24 slices.
Answer:
Option D. (x + 4)(x + 1)
Step-by-step explanation:
From the question given above, the following data were obtained:
C = (6x + 2) L
D = (3x² + 6x + 9) L
Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:
Volume in C = ½C
Volume in C = ½(6x + 2)
Volume in C = (3x + 1) L
Volume in D = ⅓D
Volume in D = ⅓(3x² + 6x + 9)
Volume in D = (x² + 2x + 3) L
Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:
Volume in C = (3x + 1) L
Volume in D = (x² + 2x + 3) L
Total volume =?
Total volume = Volume in C + Volume in D
Total volume = (3x + 1) + (x² + 2x + 3)
= 3x + 1 + x² + 2x + 3
= x² + 5x + 4
Factorise
x² + 5x + 4
x² + x + 4x + 4
x(x + 1) + 4(x + 1)
(x + 4)(x + 1)
Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.
Answer:
27.1°C
Step-by-step explanation:
