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AfilCa [17]
3 years ago
11

Please help! Math problem is attached!!

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

Ounces of strawberry juice: 20 ounces

Ounces of water: 80 ounces

Step-by-step explanation:

For this problem, we can use the equation:

x + y = 100 ounces

Where x = The number of ounces of strawberry juice

and y = The number of ounces of water

Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:

y = 4x

With this information, we can use substitution to solve for x.

x + y = 100 ounces

x + (4x) = 100

Combine like-terms.

5x = 100

x = 20

Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.

Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.

Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)

~Hope this helps!~

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Step-by-step explanation:

Since we have given that

y=\ln[x(2x+3)^2]

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\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}

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3 0
3 years ago
The temperature rose by 11 degrees Fahrenheit today. Write a signed number to represent this temperature change
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The rise in temperature by 11 degrees Fahrenheit can be represented by the temperature change, ΔT = +11 °F. The temperature change is positive because the temperature increased as stated in the question. Moreover, the formula for temperature change is: ΔT = T_final - T_initial. This means that for this case, the final temperature is higher than the initial temperature. 
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Answer:

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On the other hand, expenses must be represented by negative integers. Expenses are money that flows out of a business, and is always negative. The higher the expenses, the less money the business will have. Expenses reduce a business's net income.

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pashok25 [27]

Answer:

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Step-by-step explanation:

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H - height

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V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

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Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

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Answer:

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Step-by-step explanation:

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A = 144, A = a^2 = 12^2 = 144.

I hope this answers your question!

8 0
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