20 ounces converts to 1.25 pounds.
(Hope this helps you! Feel free to message me if you have any additional questions. :) Have a nice day!)
Answer:
<h3>
1) 7x - 5
</h3><h3>
2) 9y - 18
</h3><h3>
3) 0.5n + 4n
</h3><h3>
4) 2(w³+23)</h3><h3>
Step-by-step explanation:</h3>
1)
The product of seven and a number x: 7·x = 7x
<u>Five less than the product of seven and a number x:</u>
<h3>
7x - 5
</h3>
2)
nine times a number y: 9·y = 9y
<u>The difference of nine times a number y and eighteen:</u>
<h3>
9y - 18
</h3>
3)
half a number n: 0.5n
four times the number: 4·n = 4n
<u>Half a number n increased by four times the number:</u>
<h3>
0.5n + 4n
</h3>
4)
a number w cubed: w³
the sum of a number w cubed and twenty-three: w³+23
<u>Twice the sum of a number w cubed and twenty-three:</u>
<h3>2(
w³+23)</h3>
Answer:
The answer is below
Step-by-step explanation:
a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.
Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x
Hence the amount of water present in the tank at x hours is given as:
3 + 3x - 2x = 3 + x
The time taken to full the tank can be gotten from:
3 + x = 6
x = 6 - 3
x = 3 hr
b)
![\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\ \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg](https://tex.z-dn.net/?f=%5Cfrac%7BdQ%7D%7Bdx%7D%3D3-%5Cfrac%7B2Q%7D%7B3%2Bx%7D%5C%5C%20%20%5C%5C%5Cfrac%7BdQ%7D%7Bdx%7D%2B%5Cfrac%7B2Q%7D%7B3%2Bx%7D%3D3%5C%5C%5C%5Clet%5C%20u%27%3D%5Cfrac%7B2u%7D%7B3%2Bx%7D%5C%5C%5C%5C%5Cfrac%7Bu%27%7D%7Bu%7D%3D%5Cfrac%7B2Q%7D%7B3%2Bx%7D%5C%5C%5C%5Cln%28u%29%3D2ln%283%2Bx%29%5C%5C%5C%5Cu%3D%283%2Bx%29%5E2%5C%5C%5C%5C%283%2Bx%29%5E2Q%5D%27%3D3%283%2Bx%29%5E2%5C%5C%5C%5C%283%2Bx%29%5E2Q%3D%283%2Bx%29%5E3%2Bc%5C%5C%5C%5CQ%280%29%3D11%5C%5C%5C%5C%283%2B0%29%5E2%2811%29%3D%283%2B0%29%5E3%2Bc%5C%5C%5C%5Cx%3D72%5C%5C%5C%5CQ%3Dx%2B3%2B%5Cfrac%7B72%7D%7B%28x%2B3%29%5E2%7D%5C%5C%20%5C%5CQ%283%29%3D3%2B3%2B%5Cfrac%7B72%7D%7B%283%2B3%29%5E2%7D%3D8%5C%20mg)
8 mg/ 6 L = 4/3 mg/L
Answer:
Volume = 100 
Step-by-step explanation:
Volume, V= Bh
length = 10 inches
width = 5 inches
height = 2 inches
So that,
B = 5(10)
= 50 
B = 50 
Then,
V = (50)(2)
= 100
v = 100 
Logₐx=b means aᵇ=x
reverse
aᵇ=x means logₐx=b
so
2³=x means log₂x=3
I say it is A