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3 years ago

Find three consecutive integers whose sum of the first and the third is -88.

Mathematics

1 answer:

vlada-n [284]3 years ago

3 0

-43
-44
-45.
-43 + -45 is -88

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At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e

fredd [130]

Answer:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

Step-by-step explanation:

In this problem, the initial area of the forest at time t = 0 is

$A_0 = 1500 km^2$

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

$A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0$

After 2 years,

$A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0$

And so on. So, after t years, the area of the forest will be

$A(t)=(0.902)^t A_0$

And by substituting the value of A0, we can find an explicit expression:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

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4 years ago

Tyler has some pennies and some nickels. He has no less than 15 coins worth at most

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Step-by-step explanation:

at most he can use 9 nickels to get the answer

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Expressions equivelant to 64^x

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$64^{\text{x}} = (8^2)^{\text{x}} = 8^{2\text{x}}$

The rule used is that $(a^b)^c = a^{bc}$ we multiply the exponents b and c.

Or we could say this

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Therefore, we have multiple possible answers.

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