Answer:
1. 3,168 in³
2. 
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism -
, where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then
of the tank will be full. Simplified, that is
. So that means
of the tank will be empty.
Hope this helps! Feel free to ask any questions!
7/5 x 7/1 = 49/5 or 9 4/5
Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Answer:
Uh where are the other expressions?
Step-by-step explanation:
Answer:
v . w= -13
Step-by-step explanation:
Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>
Solution
Given the vectors:
r = <8, 1, -6>
v = <6, 7, -3>
w = <-7, 5, 2>
If you're asking about the dot product.
The dot product is a scalar. It is the sum of the product of the corresponding components.
v.w = (6*-7) + (7*5) + (-3*2)
= -42+35-6
= -13.