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3 years ago

Which fraction has a terminating decimal as its decimal expansion?

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

Answer:

haha

Step-by-step explanation:

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What is the volume of a cylinder with base radius 3 and height 6?

PIT_PIT [208]

Volume = 54π units³

Work is attached in the image provided.

3 0

3 years ago

What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo

Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = $\left ( 0,\infty \right )$ , Range = $\left ( -\infty ,\infty \right )$

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = $\left ( -\infty ,\infty \right )$ , Range = $\left ( 0,\infty \right )$

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: $\log x=\frac{\log 5+\log 3}{\log 3^2}$

$\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}$

$\Rightarrow \log x=\frac{\log 15}{2\log 3}\\\Rightarrow x=e^{\frac{\log 15}{2\log 3}}\,\,\left \{ \because \log x=y\Rightarrow x=e^y \right \}$

4 0

3 years ago

Is (x+7) a factor of f(x)= x^3-3x^2+2x-8

nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div. This comes from the factor (x + 7):

-7 / 1 3 2 -8

-7 28 -210

-------------------------

1 -4 30 -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0

4 years ago

What is the product of (3.8 x 106) and (6 x 103)?

Troyanec [42]

It would be A. 2.28 x 10^9

You don’t multiply exponents you only add them for now

6 0

3 years ago

The dot plot shows the number of visitors. Determine the median of the data set.

liubo4ka [24]

Answer: C) 62

Step-by-step explanation:

Median is the middle value of a sorted (in an order) data.

Total number of dots n=15 (odd)

Median = value denoted by middle number

i.e . Median = $\dfrac{n+1}{2}^{th}\text{term}$

i.e . Median = $\dfrac{15+1}{2}^{th}\text{term}$

i.e . Median = $8^{th}\text{term}$

i.e. Median= Value denoted by 8th dot = 62

Hence, the median of the data set. = 62

Hence, the correct option is C) 62.

8 0

3 years ago