More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use technology to find an equation that models the exponential decline. Report the rate of decline below, rounding to the nearest hundredth.

Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400

Answer:

15p^2 - 11p - 14 (thus answer three is correct)

Step-by-step explanation:

I uploaded an image of how this question is completed for an extended visual. Your welcome and have a great day :))))

[tex] - 4(8r + 3)[/tex]

[tex] - 4(8r + 3)[/tex]

[tex] = - 32r - 12[/tex]

answer to your question is -32r-12

hope this will help you

Answer:

Slope intercept form: y = 1/5x -2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(4×3x)+(4×4x)=

12x+16x

The graph that defines the following piece-wise function is given by:

It is a function that has different definitions based on the input.

In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:

m = 4 - 2/(-2 - (-1)) = -2.

The slope of -2 means that it also passes through (0,0), hence the function is:

y = -2x.

For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.

For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:

m = (3 - 1)/(4 - 2) = 1.

The slope of 1 means that the function passes through (0,-1), hence the function is:

y = x - 1.

Hence the piece-wise function is defined by:

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Answer:

A

Step-by-step explanation:

1. We assume, that the number 50 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 50 is 100%, so we can write it down as 50=100%.

4. We know, that x is 98% of the output value, so we can write it down as x=98%.

5. Now we have two simple equations:

1) 50=100%

2) x=98%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

50/x=100%/98%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 98% of 50

50/x=100/98

(50/x)*x=(100/98)*x       - we multiply both sides of the equation by x

50=1.02040816327*x      - we divide both sides of the equation by (1.02040816327) to get x

50/1.02040816327=x

49=x

x=49

now we have:

Answer:

49

Step-by-step explanation:

It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you

Answer:

21

Step-by-step explanation:

6+5+4+3+2+1=21 and there you g9

Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

Answer:

the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)

Step-by-step explanation:

[tex]\text{diagonal of the cube} =\ \left( \text{edge} \right) \times \sqrt{3}[/tex]

                                [tex]=\sqrt{75} \times \sqrt{3}[/tex]

                                [tex]=\sqrt{225}[/tex]

                                [tex]=15[/tex]

[tex]\text{diagonal of the face} =\left( \text{edge} \right) \times \sqrt{2}[/tex]

                               [tex]=\sqrt{75} \times \sqrt{2} \\\\=\sqrt{150} \\\\=12.247448713916[/tex]

Answer: 30 centimeters

Step-by-step explanation:

    We will subtract and then convert units.

2.8 meters less 2.5 meters = 2.8 meters - 2.5 meters = 0.3 meters

0.3 meters * 100 = 30 centimeters

If this problem is not asking for 2.8 meters minus 2.5 meters - and is stating something else - please comment so I can fix my answer.

The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

[tex]y = ab^x[/tex]

When x = 0 and y = 4, we have

[tex]ab^0 = 4[/tex]

Evaluate

a = 4

When x = 1 and y = 2, we have

[tex]ab^1 = 2[/tex]

Evaluate

[tex]ab = 2[/tex]

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]

[tex]y = 4(1/2)^x[/tex]

Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]

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Answer:

16 full rotations

Step-by-step explanation:

If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.

Circumference = 2 pi r

[tex]2 * \pi * r = 6.28\\100 / 6.28 = 15.92[/tex]

Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.

For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.

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Answer:

2 19/24

Step-by-step explanation:

Simplify it in whatever whey they ask you to for the answer

Answer:

37/12

Step-by-step explanation:

[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]

Answer:

Step-by-step explanation:

Answer: It would be 1 min since it doubles every minute. Similarly, it'll be half full the minute before its full is 59.

Step-by-step explanation:

[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]

Answer:

260

Step-by-step explanation:

26 letters * 10 digits

bc each letter could be followed by 10 different digits

Answer:

Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.

its a word problem from wyzant.

Step-by-step explanation:

The charge = $15 + $25h (h represents the number of hours)

$290 = $15 + $25h

$275 = $25h ( subtract $15 from both) sides

11 = h ( divide both sides by $25)

Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14

Step-by-step explanation:

So 3.14 multiplied by the diameter of 9.

please mark brainliest

The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.

The volume of a rectangular prism is represented as follows;

volume of rectangular prism = lwh

where

Therefore,

volume of the box = 18 × 24 × 12 = 5184 inches³

Therefore, the volume of each trail mix box is as follows:

volume = 4 × 3 × 3 = 36 inches³

Therefore,

number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144

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Answer:

144 (100% correct)

Step-by-step explanation:

To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.

First, let's calculate the volume of the shipping box (rectangular prism):

Volume of the shipping box = length * width * height

Volume of the shipping box = 18 in * 24 in * 12 in

Volume of the shipping box = 5184 cubic inches

Next, let's calculate the volume of each trail mix box (rectangular prism):

Volume of each trail mix box = length * width * height

Volume of each trail mix box = 4 in * 3 in * 3 in

Volume of each trail mix box = 36 cubic inches

Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:

Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box

Number of trail mix boxes = 5184 cubic inches / 36 cubic inches

Number of trail mix boxes = 144

Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)

The transformation can be defined as the introduction of a new set of mathematical coordinates.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.

Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.

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Answer:

15x=225

Step-by-step explanation:

15x=225

x=15

10 + 5 = 15.

14 + 1 = 15

13 + 2 = 15

those are what ik but guy above is more accurate lol

Answer:

well it looks equal to 15 cm so its probably 15 cm

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Answer:

The area of that figure is 16

Step-by-step explanation:

tell me if im wrong

The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.

To wrote a number in repeated multiplication form, write the base number  multiplied as many times as the stated exponents.

Given the number, 4⁴, we have:

4 × 4 × 4 × 4 = 256.

The value of the power of 4⁴ is: 256.

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Answer:

Step-by-step explanation:

4 x 4 x 4 x 4  = 16 x 16 = 256 is the value

4^4 is the power

Answer:

Below.

Step-by-step explanation:

A. Take the square root of each side.

   2a^2 = 72

   a^2 = 36

   a =  -6, 6.

B.  Factor and use the zero-product property

   (x - 2)(x - 8) = 0

   x = 2, 8.

C. Complete the square.

y^2 + 6y = 2

(y + 3)^2 - 3^2 = 2

(y + 3)^2 = 2 + 9 = 11

Taking square roots:

y + 3 = +/- √11

y = -3 + √11,   -3 - √11

Answer:

The ladder reaches is 16 feet far up the side of the building

picture below

Step-by-step explanation:

The ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

Using this formula

Rate of interest=Principal(1+Rate)^nt

Where:

Principal=$6,000

Rate=0.7%

Time=2 years

Number of months =12 months

Let plug in the formula

Rate of interest=6000(1+.007)^12×2

Rate of interest=6000(1.007)^24

Rate of interest=$7,093.47

Therefore the ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

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