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3 years ago

Please someone help me

Mathematics

2 answers:

Marysya12 [62]3 years ago

4 0

<u>Answer:</u>

The correct answer option is D. 5.

<u>Step-by-step explanation:</u>

We are given the following expression where 4 is to be divided by a fraction 1/5:

$4$ ÷ $\frac{1}{5}$

This can also be written as:

$\frac{4}{\frac{1}{5} }$

Now to find the quotient of this, we will take the reciprocal of the fraction in the denominator to change it into multiplication.

$4 \times \frac{5}{1}$

Therefore, ignoring the 1 in denominator, we can simply multiply 4 by 5.

adell [148]3 years ago

4 0

Answer:

Hi there!

The answer is last one: 5

Step-by-step explanation:

When ever you are dividing a number by a fraction you always flip the fraction and multiply it, another way of saying it is multiplying by its reciprocal.

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What is the domain of thf(x)<0 over and what other interval ?

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Answer:

F(x)>0 over the intervals (-infinate, -2.5) and (-0.75, 0.75)

Step-by-step explanation:

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3 years ago

Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

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3 years ago

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(44+6x) / (16+x) ………

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The answer would be 6- 52/(x+16)

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2 years ago

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earnstyle [38]

<h3>First we will simplify both equations....</h3><h2>#1</h2>

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$- 16 > - 47$

When the number is in negative the smaller number is greater than the greater number.

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3 years ago

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