Answer:
0.63 Liters, or, if needed in fraction form, about 2/3 of a Liter per milkshake
Step-by-step explanation:
7.56 liters in total /divided by 11(+1 for Jamal) friends/ = ).63 liters per shake
Answer:
D
Step-by-step explanation:
The absolute value function always returns a positive value, that is
| - a | = | a | = a
Given
8 - | 2g - 5 | ← substitute g = - 3.5 into the expression
= 8 - | - 7 - 5 |
= 8 - | - 12 |
= 8 - 12
= - 4 → D
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula: 
, where 
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:
Thus, the answer is 24 ft cubed.
Hope this helps!
