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3 years ago

Mike had 2/3 of a cake. He cut 3/4 of the cake to wrap and store in the freezer.

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer: E, 1/6

Step-by-step explanation:

So he put 3/4 of it in the freezer, meaning he ate 1/4 of it.

But he didn't have a whole cake, he had 2/3 of one, so we can multiply these two numbers to determine what fraction of the cake he ate.

2/3 * 1/4 = 2/12, which = 1/6

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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

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4 years ago

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Solve the problem

Murrr4er [49]

Answer:

idr

Step-by-step explanation:

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3 years ago

Write a linear equation that passes through the point (2,-9) and has a slope of 5

mars1129 [50]

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

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3 years ago

Is the expression polynomial ?

allochka39001 [22]

Short answer. No it is not. A polynomial consists of more than 1 term which cannot be combined by either addition or subtraction. Actually most experts say that it must have more than 2 terms. So here is an example of a polynomial.

2x + 3y + 2z. You can't make this any simpler.

2x^3 + 3x^2 + 6x is also a polynomial. Don't get caught by saying it is not and that the terms can be combined in some way. They can't.

3x^2 + 7x^2 is not a polynomial. The x^2 are the same and therefore you can add the 3 and 7 together.

10x^2 is you answer.

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3 years ago

What do you divide 32 to get 96

creativ13 [48]

Answer:

You divide 32 by 1/3.

Step-by-step explanation:

This is because 96/32 equals to 3/1 so the reciprocal of that is what you divide 32 by to get 96.

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3 years ago

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