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NeX [460]
3 years ago
6

What is the value of (3/10)3

Mathematics
1 answer:
Elenna [48]3 years ago
6 0

Answer:

\frac{9}{10}

Step-by-step explanation:

In this question, one is asked to multiply a fraction by a whole number, first model the question.

\frac{3}{10}(3)

In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.

\frac{3*3}{10}

Simplify,

\frac{9}{10}

A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.

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Write the point slope equation of the line through (7,-2) with slope of 1/2.
ahrayia [7]

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

4 0
3 years ago
Find the measure of a 6.<br> 102<br> 78<br> 46 = [?]
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Answer:

102°

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Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
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