The population of Boomtown is currently 3000 and expected to grow by 2.3% over the
next year. What will its population be by then?


The population of Dullsville, on the other hand, is currently 13000 and expected to
decrease by 4.1% over the next year. What will its population be by then?​

Answer:

28,500

Step-by-step explanation:

They are asking us to round to the hundreds place, which is this place:

28,459

      ↑

To do that we must look at the number behind that place. In this case, that is 5. And if we follow the rules of rounding (if its 5 or over we round up), we should round this up. So, we get 28,500.

Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

Range: 40

Mean: 75.5

Median (a.k.a. media): 75

Mode: 75

Step-by-step explanation:

1) Put the numbers in order

60 , 60 , 65 , 75 , 75 , 75 , 75 , 75 , 95 , 100

2) Find the range

To find the range, you subtract the largest number from the smallest number. In this case, it those are 100 and 60 respectively.

100-60 = 40 which means the range is 40.

3) Find the mean

To find the mean, you add all the numbers together and then divide that by the number of numbers. So...

60 + 60 + 65 + 75 + 75 + 75 +75 + 75 + 95 + 100 = 755

755/10 = 75.5

*You divide by 10 because there are 10 numbers*

That means your mean in 75.5.

4) Find the median (a.k.a. media)

To find the median, you must find the number that is in the middle when the numbers are in order.

In this case, we have two numbers in the middle 75 and 75. To find the median we must add these two numbers together and then divide by 2.

75 + 75 = 150

150/2 = 75

That means the median is 75.

5) Find the mode.

To find the mode, you must find the number(s) that appear the most. In this case, that would be 75 as it appears five times in this number set.

That means the mode is 75.

I hope this helps!

Answer:

Step-by-step explanation:

10

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

My favorite color is purple (any shade of purple) My favorite animal is between birds and dogs. Have an amazing day!

Answer:

50$ an hour

Step-by-step explanation:

this is correct because subtract the $70 for parts and you get 250 and divide that by the 5 hours she had worked, hope this helped

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

-15.5 cannot be simplified further more.

Step-by-step explanation:

But if you want me to simplify 15.5/5

then here it is

\( \frac{15.5}{5} = \frac{3.1}{1} = 3.1\)

Answer:

40

Step-by-step explanation:

For this equation, all we do is simply plug in the values.

-4 (c) (a)

-4 (-5) (2)

-4*-5*2

Now, multiply, and you get your answer.

-4 * -5 = 20

20 * 2 = 40

40 is your answer

Answer:

x = { - 2, \(\frac{1}{4}\) }

Step-by-step explanation:

8x² + 7x = 4x² + 2 ( subtract 4x² from both sides )

4x² + 7x = 2 ( subtract 2 from both sides )

4x² + 7x - 2 = 0 ← in standard form

to factor

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 2 = - 8 and sum = + 7

the factors are + 8 and - 1

use these factors to split the x- term

4x² + 8x - x - 2 = 0 ( factor the first/second and third/fourth terms )

4x(x + 2) - 1(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(4x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ( subtract 2 from each side )

x = - 2

----------

4x - 1 = 0 ( add 1 to both sides )

4x = 1 ( divide both sides by 4 )

x = \(\frac{1}{4}\)

solutions are { - 2, \(\frac{1}{4}\) }

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

Answer:

B:y=-40x+160. hello, just typing to take up space

The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

2 1/3

Step-by-step explanation:

21/9 is 2.33 or 2 1/3

Answer:

The final answer is 5p^5 - 7.

Step-by-step explanation:

Here are the step-by-step instructions for simplifying the expression 2p^5 + (3p^5 - 7):

Start by simplifying the expression inside the parentheses using the distributive property of multiplication:

2p^5 + (3p^5 - 7) = 2p^5 + 3p^5 - 7

Combine like terms by adding the coefficients of the p^5 terms:

2p^5 + 3p^5 = 5p^5

Rewrite the simplified expression by combining the result from step 2 with the constant term (-7) from step 1:

5p^5 - 7

The final answer is 5p^5 - 7.

Answer:

5p⁵ - 7

Step-by-step explanation:

2p⁵ + (3p⁵ - 7) = 5p⁵ - 7

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

Answer:

he is right its A

Step-by-step explanation:

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer:

28

Step-by-step explanation:

3*7-7

3*7=21--7=28

Answer:

=3b−7

Step-by-step explanation:

Answer:

as mixed number it would be 3 1/3 and as decimal it would be 3.3

Step-by-step explanation:

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