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forsale [732]
3 years ago
5

Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter equals 1,000 millilite

rs and 1 gallon = 3.785 liters?
Mathematics
1 answer:
muminat3 years ago
3 0
First, find how many milliliters there are in 1 gallon. 3.785 x 1,000 = 3,785
There are 3,785 milliliters in one gallon.

Then, multiply that by 3.5    3,785 x 3.5 = 13,247.5   

There are 13,247.5 ml in 3.5 gallons
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Consider function f.
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Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
Jamar is buying bottles of juice for his his class party A pack of 12 bottles of juice cost $3.96 determine the cost of 1 bottle
NeX [460]

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7 0
3 years ago
Solve for x9(x + 1) = 25 + x
vaieri [72.5K]
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
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9x - x=23 - 9
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8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck
8 0
3 years ago
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klio [65]

Answer:

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Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

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HOPE THIS HELPED ;3

5 0
4 years ago
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Answer:

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