![V'(t)=\dfrac{4t}{\sqrt[3]{t^2+3}}](https://tex.z-dn.net/?f=V%27%28t%29%3D%5Cdfrac%7B4t%7D%7B%5Csqrt%5B3%5D%7Bt%5E2%2B3%7D%7D)
The volume of fuel in the tank after 9 hours is given by
To compute the integral, substitute
, so that
. Then when
,
; when
,
.
So the volume of fuel after 9 hours is about 51.3 gallons.
(
8
x
−
3
)
2 as as (
8
x
−
3
)
(
8
x
−
3
)
. (
8x
−
3
)
(
8
x
−
3
)
Expand (
8
x
−
3
)
(
8
x
−
3
) using the FOIL Method.
8
x
(
8
x
)
+
8
x
−
3
−
3
(
8
x
)
−
3
⋅
−
3
64
x
2
−48
x
+
9
Answer:
-13:)
Step-by-step explanation:
Remove parentheses.
- 5 - (-7) - 7 - 8
Multiply -1 by -7
-5+ 7 - 7 -8
Add -5 and 7
2 - 7 - 8
Subtract 7 from 2
-5 - 8
Subtract 8 from -5
-13 :)
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
80% of 90 would be bigger because:
80/100*80=72
