Wildfires in the United States covered three and forty-two hundredths million acres one year. The second year, they covered eight and seventy-one hundredths million acres. The three-year total of wildfire acres burned was twenty-one and forty-sixdths acres. How many acres were burned in year three?

Answers

Answer 1

Answer: Everything is in million acres, so we can just drop that while we work it out but just remember we have to add it back on at the end of the problem.

First year 3.42
Second year 8.71
Third year ???

Total 21.46

So...

3.42 + 8.71 + ? = 21.46
12.13 + ? = 21.46
? = 21.46 - 12.13
? = 9.33

The 3rd year 9.33 million acres were burned

*Note I put a ? for the unknown. I could have used x or y or anything else.

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Which is greater 1/2 or 1/6

Answers

1/2 since it is closer to 1 whole

1/2 cuz 1/6 has shorter pieces u would want 1/2 big pieces then little pieces

A right isosceles triangle has an angle with measure of 45*. If x represents the measure of the third angle of the triangle, what is x? PLEASE HELP ASAP

Answers

depends on which angle is x because the 2 smaller corner angles equals 45 degrees each which the third equals 90 degrees so it depends on which angle is x

The population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.When will the population exceed 1 million people (to the nearest year)?

Answers

It would take 21 years for the population of Boomtown to reach 1 million people.

An exponential growth is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b is > 1

Let y represent the population of Boomtown after x years.

Given that initially there is a population of 475,000, hence a = 475000. Also, it is increasing at a rate of 3.75%, hence b = 100% + 3.75% = 1.0375

Hence:

y = 475000(1.0375)ˣ

For a population of 1000000:

1000000 =475000(1.0375)ˣ

2.1 = (1.0375)ˣ

xln(1.0375) = ln(2.1)

x = 21 years

Hence it would take 21 years for the population of Boomtown to reach 1 million people.

Find out more at: brainly.com/question/19455261

After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.

Step-by-step explanation:

The given is,

Population of Boomtown is 475,000

Increasing at a rate of 3.75% each year

After few years population exceed 1 million people

Step:1

Formula to calculate population with a given rate of increase,

$F =P(1+r)^(t)$ ..............................(1)

Where,

F - Population after t years

P - Population at initial

r - Rate of increase

t - No.of years

From the given values,

F = 1000000

P = 475,000

r = 3.75%

Equation (1) becomes,

$1000000 =475000(1+ 0.0375)^(t)$

$(1000000)/(475000) = (1.0375)^(t)$

$2.1052632=(1.0375)^(t)$

Take log on both sides,

$log 2.1052632 =(t) log 1.0375$

Substitute log values,

$0.3233064= (t) 0.015988$

$t = (0.3233064)/(0.015988)$

= 20.2216

t ≅ 20.222 years

Result:

After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.

Order the quadratic functions from widest to narrowest graph. y=4x^2 y=2x^2 y= 0.15x^2

Answers

ANSWER

$y=0.15x^2, y=2x^2,y=4x^2$

EXPLANATION

The given quadratic functions are;

$y = 4 {x}^(2)$
$y = 2 {x}^(2)$
and

$y = 0.15 {x}^(2)$

A fractional coefficient indicates a horizontal stretch.

The smaller the coefficient, the wider the stretch for
$|a| < 1$
and

$a \ne0$

Also
$|a| > 1$
indicates a horizontal compression.

The higher the value the narrower the graph.

Therefore from widest to narrowest, we have,

$y=0.15x^2, y=2x^2,y=4x^2$

See graph.

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Answers

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6 yards is equal to 18 feet

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