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3 years ago

X/9 = 8 step to step

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

Answer:

x=72

Step-by-step explanation:

Multiply both sides by 9 (x=8 times 9)

- = 8

Let x = 72

_ =8

8=8

Therefore x =72

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In one hour, a satellite orbiting the Earth travels 1.1 x 10 m (meters). Which

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D because it be 1.1 * 109

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3 years ago

A rectangular swimming pool has a length of 50 meters, a width of 25 meters, and a depth of 2 meters. How much paint would be ne

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Step-by-step explanation:

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3 years ago

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$

Applying this to the equation, we find r. So

$P(t) = P_{0}e^{rt}$

$1.74 = 1.65e^{3r}$

$e^{3r} = \frac{1.74}{1.65}$

$e^{3r} = 1.0545$

Applying ln to both sides

$\ln{e^{3r}} = \ln{1.0545}$

$3r = \ln{1.0545}$

$r = \frac{\ln{1.0545}}{3}$

$r = 0.0177$

$P(t) = 1.65e^{0.0177t}$

What would be the population of the city 5 years after the start of the population study?

This is P(5).

$P(t) = 1.65e^{0.0177t}$

$P(5) = 1.65e^{0.0177*5}$

$P(5) = 1.8027$

So the correct answer is:

C. 1.8027

6 0

3 years ago

Identify whether the function f(x)=3x5 is a monomial function, power function, both, or neither.

marshall27 [118]

Answer:

f(x)=3x5 is both monomial function, power function

Step-by-step explanation:

Monomial function is one which has only one term that is non-zero term.

example

b is a monomial with one variable

5xy^2 is a monomial with two variable

10x^10 is a monomial with one variable.

_______________________________________

power function is one which consist of a coefficient, a variable and that variable is raised to some non-zero power.

example

2x^6

area of circle = $\pi r^2$

_____________________________________

given function

f(x)=3x5

1. it has only one non zero term thus qualifies to be called monomial

2. It has a coefficient 5, a variable x and that x is raised to some non-zero power 5. Thus, it is a power function as well.

6 0

3 years ago