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3 years ago

7

(1) An M&Ms factory produces 109,500,000 M&M’s every day. About ¼ of its M&Ms are blue. Find the number of blue M&am

p;M’s produced at this factory

1 answer:

Gemiola [76]3 years ago

4 0

Answer:

27,375,000

Step-by-step explanation:

Simply divide the total by 4.

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Is (1,-4) a solution to the equation y=-2x?<br> Yes or no? Please help /:

Elden [556K]

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

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3 years ago

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Please solve the problems attached in the pictures. Thanks!

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3 years ago

A movie rental company charges a yearly membership fee of $18.Each movie rental is $1.50.Which equation could be used to find th

Pavlova-9 [17]

Answer:

18+1.50m

Step-by-step explanation:

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3 years ago

Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li

krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

$A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years$

First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

Next, let us calculate the half-life as follows:

$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

Therefore the half-life is between 600 and 700 years

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3 years ago

Graph the following function on the axes provided.<br>

Bingel [31]

Answer:

Step-by-step explanation:

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2 years ago