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Bezzdna [24]
1 year ago
6

Q: The ratio of the numbers of Nick's marbles to Michael's is 3:5. Nick has 36 marbles. If Nick receives

Mathematics
1 answer:
Nataly [62]1 year ago
7 0

Answer:

\frac{3}{4}

Step-by-step explanation:

\frac{3}{5}  =  \frac{36}{x}

3x = 36 x 5

3x = 180

x = 60

Michael has 60 marbles.

Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles

The new ratio will be:

\frac{45}{60}  = \frac{3}{4}

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\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}

Notice that if f(x)=e^{\sin x}, then f(\pi)=e^{\sin\pi}=e^0=1. Recall the definition of the derivative of a function f(x) at a point x=c:

f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}

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You have

f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1
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Which equivalent expression would you set up to verify the associative property of addition for (3x + 4) + ((5x2 – 1) + (2x + 6)
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(3x+4)+(5x2-1)+(2x+6)

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Nate borrowed $62,000 at 9.4% interest per year if he owed a total of $910.90 in when he repaid the loan how many days do they k
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The formula for simple annual interest is:

I = Prt

where,

I = Interest accumulated = $910.90
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Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

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This is the time in years. Since there are 365 days in a year, the time in days will be:

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