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4 years ago

Chloe measured the rectangular label in her new dress.

Mathematics

1 answer:

iris [78.8K]4 years ago

7 0

Answer:

504

Step-by-step explanation:

so its area so its length times height so 42 times 12 and that's 504.

;)

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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

Complete the inequality statement <br><br> 7/10 ___ 11/20 <br><br> > < =

densk [106]

To start, give each fraction a common denominator by multiplying the 7/10 by two to get 14/20, an equivalent but not simplified fraction. now compare 14/20 and 11/20. 14/20 is greater than 11/20, so 7/10 > 11/20.

7 0

4 years ago

Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APR

Lyrx [107]

Answer:

<h2> 21years</h2>

Step-by-step explanation:

Amount invested by Nelson = $1,000,000

Interest rate per month = 4.8%

Simple Interest = Principal * Rate * Time/100

simple Interest = $1,000,000 * 4.8 *(1/12)/100

simple Interest = $1,000,000 * 4.8/1200

simple interest = $4,000/ month

Simple interest for one year = $4,000*12 = $48,000

In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;

amount of years = $1,000,000/ $48,000

Amount of years = 20.8years ≈ 21years

6 0

3 years ago

Granola

Semenov [28]

Answer:

1/8 : 1/2

Step-by-step explanation:

Is that the right answer? I’m not sure lol I don’t remember

4 0

3 years ago

(27a⁶b³c⁹)⅓<br> How to solve

LenaWriter [7]

Answer:

9a⁶b³c⁹

Step-by-step explanation:

Just divide the 27 by 3 since 27a⁶b³c⁹ is a single number

8 0

3 years ago