18. Population density is the number of peopleper unit of area. The population densityof a certain region is 60 people per squarekilometer. If the region covers 23 squarekilometers, what is the population ofthe region?

Answer:

K5.60.

Step-by-step explanation:

Answer:

The improper fraction of 9 1/3 is 28/3

Answer:

28/3

Step-by-step explanation:

a way to get the improper fraction from a mixed fraction is to

1. multiply the whole number by the denominator

2. then add the numerator

9 (whole number) times 3 (denominator) = 27

27 plus 1 (numerator) = 28

Hope this helps dude

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is A

The a1 is at 72

: a1 = 72

= 25% of test scores are less than 72

Does that make sense?

25%  percentage of the test scores are less than 72.

To determine the percentage of test scores that are less than 72, we need to examine the quartiles and understand the distribution of the data.

In a box-and-whisker plot, the "Q₁" represents the lower quartile, which is the median of the lower half of the data.

In this case, Q₁ is given as 72. The minimum value is 66.

Since Q₁ represents the median of the lower half, we can infer that 25% of the data falls below Q₁.

Therefore, 25% of the test scores are less than 72.

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Answer:

75,000

Step-by-step explanation:

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Maria have to spend $ 45.95 less than what she spends now in order to save $ 70 per month.

Hence the correct option is (A).

From the given Maria's Income Statement we can see that,

Her total income from Fast food Restaurant = Gross Pay + Allowance = $ 580 + $ 50 = $ 630.

Total deductions by taxation = Federal Income Tax + State Income Tax + Social Security Tax = $ 58 + $ 16 + $ 24.36 = $ 98.36

So here net income = $ (630 - 98.36) = $ 531.64.

Here total expenses = Auto + Clothing + Food + Entertainment + Other = $ 290.02 + $ 92.29 + $90.28 + $ 32 + $ 3 = $ 507.59

So Her Savings = Net Income - Total Expenses = $ 531.64 - $ 507.59 = $ 24.05.

Now in order to save $ 70 per month Maria has to spend = $ 70 - $ 24.05 = $45.95 less than she spend now.

Hence the correct option will be (A).

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Answer:

the monthly payment is $18,750

Step-by-step explanation:

The computation of the monthly payment is shown below:

= (Loan amount × given percentage) ÷ number of months in a year

= ($300,000 × 75%) ÷ 12 months

= $18,750

Hence, the monthly payment is $18,750

$140 total - $100 tips = $40

$40 / $5 per hour = 8 hours

She worked 8 hours

Answer:

Step-by-step explanation:

we have a circle inscribed in a square

Area of the square

Asquare=14*14=196

Acircle=3.14*r^2  

r=14/2=7

Acircle=3.14*7^2=153.94

A shaded=196-153.94=42.06

Answer:

Step-by-step explanation: Après un an on a 20000(1+t%)+20000

Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298

On a donc 20000[(1+t%)^2+(1+t%)^1]=44298

En résolvant l’équation de second degré dans R, on obtient : t = 7%

The evaluated value of x from the line geometry given is 36.

An angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.

Take the sum to have

x + 3x + x = 180

Simplify

4x + x = 180

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

Hence the value of x from the diagram is 36

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Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Answer:

any number

Step-by-step explanation:

Answer:

445

Step-by-step explanation:

I think it is 445 because each term is +1 and time is the number of terms you want to find.

So

(2+1) time 2 = 6

(6+1) time 3 = 7

(88+1)  time 5 = 445

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Soz I do not know the answer but if you need help I would recommend going to a friend or family member for help if you are still stuck you should consider messaging a teacher via email but if this is urgent and a teacher does not respond you should try to contact him/her using a phone call you should also try getting in contact with other people in the learning facility for example a T.A

Answer:

should be roughly equivalent because both groups have a mixture of students with different current grades.

Step-by-step explanation:

The characteristics of the treatment and control groups should be roughly equivalent because both groups have a mixture of students with different current grades.

It is comprise of the participants where it does not collect the experimental treatment. At the time when the experiment is conducted, the people should be allocated to the group. Also, it should resemble the participants.

Hence, The characteristics of the treatment and control groups should be roughly equivalent because both groups have a mixture of students with different current grades.

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Answer:

c

Step-by-step explanation:

here is a saying that i will always remember: NEVERRRR repeat  your eX's

go down the graph and whichever x-values repeat is NOT a function.  

on graph a: -2 repeats

graph b: 0 repeats

graph d: -4 repeats

Answer:

I think that its x^2 + y^2 = 0.

I could be wrong...

Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

The slope of a line parallel to Y-axis is zero.