The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.

Answer:

1. 7, 20, and 104

2. 42, 16, and 1

3. 64, 180 and 10

4. 12, 4.5, and 0

5. 26, 56, 2, and 6.5

6. 19, 31, 75, and 52.6

7. 18, 28, 15, and 30

8. 26, 50, 145, and 401

Step-by-step explanation:

hope this helps

Answer:

  see below

Step-by-step explanation:

A 90° clockwise rotation performs the transformation ...

  (x, y) ⇒ (y, -x)

So, for example, point A becomes ...

  A(2, 1) ⇒ A'(1, -2)

The answer is (4,7)

look at the attached picture

Hope it helps..

Good luck on your assignment

The coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

AB has endpoints at A(2, 6) and B(6, 8). Then we have

(x₁, y₁) = (2, 6)

(x₂, y₂) = (6, 8)

Then the mid-point will be

x = (2 + 6) / 2

x = 8 / 2

x = 4

y = (6 + 8) / 2

y = 14/2

y = 7

Then the coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

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Answer:

276$ off

Step-by-step explanation:

345*4 = 1380

ans*.2 = 276

Answer:

B

Step-by-step explanation:

because it says between 4 and 8 and doesn't have a negative so its positive

[tex]f(x)=4x^1 \\ g(x)= {x}^{ - 5} \\ (f+g)(x) \\ 4x + {x}^{ - 5} \\ [/tex]

express with a postive exponent

[tex]\\ 4x + \frac{1}{{x}^{5} } \\ write \: all \: numerators \: above \\ a \: comon \\ denominator \\ \frac{ {4x}^{6} + 1 }{ {x}^{5} } \:[/tex]

Answer:

Both coordinates are negative

Answer:

The x-coordinate is negative, and the  y-coordinate is negative.

Step-by-step explanation:

It's a bite hard to explain it without a xy-plane. I don't want to upload it, so I will try to draw it:

            [tex]\left[\begin{array}{ccc}a&|&b\\-&-&>\\c&|&d\end{array}\right][/tex]

We have point [tex]a[/tex] in the coordinates [tex](-x, y)[/tex]

We have point [tex]b[/tex] in the coordinates [tex](x, y)[/tex]    

We have point [tex]c[/tex] in the coordinates [tex](-x, -y)[/tex]        

We have point [tex]d[/tex] in the coordinates [tex](x, -y)[/tex]

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.

This point is [tex]d[/tex]. Once it is reflected over the y-axis, it turns to be point [tex]c[/tex].

Answer:

The estimated distance is 8.1cm.

The actual distance is 8.106cm.

Step-by-step explanation:

Given that the Pythogorean Theorem, c² = a² + b². Then substitute the following values into the formula :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 5.1cm,

Let b = 6.3cm,

[tex] {c}^{2} = {5.1}^{2} + {6.3}^{2} [/tex]

[tex] {c}^{2} = 26.01 + 39.69[/tex]

[tex] {c}^{2} = 65.7[/tex]

[tex]c = \sqrt{65.7} [/tex]

[tex]c = 8.106cm \: (3d.p)[/tex]

Answer:

Edited: heads and tails

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

214°

Step-by-step explanation:

The measure of an arc that sees the center angle of the circle is equal to the very same angle that it sees

Since the measure of circle is 360° and arc AB is given as 146° the measure of arc ACB should be 360 - 146 = 214°

The measure of arc ACB from the given circle is 214 degree.

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Given that, ∠AOB=146° (Minor sector)

So,  ∠AOB=360°-146°=204°

The measure of an arc that sees the center angle of the circle is equal to the very same angle that it sees

Since the measure of circle is 360° and arc AB is given as 146° the measure of arc ACB is 214°.

Therefore, the measure of arc ACB from the given circle is 214 degree.

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Answer:

V 8 on 8 D

Step-by-step explanation

Answer:

222cm

Step-by-step explanation:

8*7.5*2=120

3.4*7.5*4=102

222cm

Answer:

x=47.41662784

Step-by-step explanation:

take sin 28° multiplied by 101 because sin equals opposite/hypotenuse. in this case (sin 28=x/101). (101*sin 28=x)

Answer:

x=47.41662784

Step-by-step explanation:

Answer:

£480

Step-by-step explanation:

40 percent of 1800 is 720, and 1/3 of 1800 is 600, 720+600=1320, 1800-1320=480.

Answer:

A

Step-by-step explanation:

= 2x5−8x4 /(6x3+30x2)

=  2x3−8x2 /(6x+30 )

= x3−4x2 /(3x+15)

Answer:

a.[tex] \frac{x^3-4x^2}{3x+15}[/tex]

Step-by-step explanation:

[tex]\huge{ \frac{2x^4}{x+5} \div \frac{6x^2}{x-4} }\\\\\huge{= \frac{2x^4}{x+5} \times \frac{x-4}{6x^2}}\\\\\huge{ =\frac{x^2}{x+5} \times \frac{x-4}{3}}\\\\\huge {=\frac{x^2(x-4)}{3(x+5)}}\\\\\huge{=\frac{x^3-4x^2}{3x+15}}[/tex]

Answer:

x=3

Step-by-step explanation:

First distribute the 3!

3x+6+2x=21

Then, combine like terms.

5x+6=21

Move the 6 to the other side

5x=15

Divide each side by 5

x=3

Hey!!

Solution,

-28x^2+35x

take the common,

-7x(4x-5)

The answer is -7x(4x-5)

Here,

If we solve,

-7x(4x-5)

Then, the answer would be:

= -7x*4x+7x*5

= -28x^2+35x

Hope it helps

Good luck on your assignment

Answer:

G

Step-by-step explanation:

-28x² + 35x = -7 * 4 * x² + (-7)*(-5)*x

                  = -7x(4x - 5)

Answer:

a ) Surface Area ⇒ 222 cm^2, Volume ⇒ 180 cm^3

b ) Surface Area ⇒ 372 cm^2, Volume ⇒ 360 cm^3

c ) Surface Area Increase ⇒ ( About ) 67.56 %, Volume Increase ⇒ 100 %

Step-by-step explanation:

a ) Consider dividing the figure into parts, first solving for the area of the base, using the attachment below for guidance;

As you can see, in the picture I have made it so that the base is nested in a rectangle with dimensions 8 by 5. Calculating the area of this rectangle, subtracting the area of a square with dimensions 2 by 2 cm, we can derive the area of the base in a much quicker manner;

[tex]Area of Base - ( 8 cm * 5 cm ) - ( 2 cm* 2 cm ) = 40 square cm - 4 square cm = \\Solution; Base = 36 square cm[/tex]

Now let us imagine adding the another dimensions to this two dimensional base. That would make a 3 - d prism, with surface area equivalent to mini rectangles and squares with a common dimension being the length of the height; 5 cm

[tex]Area of 1 Square = 5 cm * 5 cm = 25 square cm,\\Area of 2 Square = 25 square cm,\\Area of 1 Rectangle = 3 cm * 5 cm = 15 square cm,\\Area of 2 Rectangle = 15 square cm,\\Area of 3 Rectangle = 2 cm * 5 cm = 10 square cm,\\Area of 4 Rectangle = 10 square cm,\\Area of 5 Rectangle = 10 square cm,\\Area of 6 Rectangle = 8 cm * 5 cm = 40 square cm\\Area of Base 2 = 36 square cm,\\\\Surface Area of Figure = 25 + 25 + 15 + 15 + 10 + 10 + 10 + 40 + 36 + 36 = 222 square cm\\Volume = 36 square cm * 5 cm = 180cubiccm[/tex]

b ) We have calculated the area of the base before, now let us solve for all the " mini shapes " given a new height of 10 cm;

[tex]Area of Rectangle 1 = 5 cm * 10 cm = 50 cm^2,\\Area of Rectangle 2 = 50 cm^2,\\Area of Rectangle 3 = 3 cm* 10 cm = 30 cm^2,\\Area of Rectangle 4 = 30 cm^2,\\Area of Rectangle 5 = 2 cm * 10 cm = 20 cm^2,\\Area of Rectangle 6 = 20 cm^2,\\Area of Rectangle 7 = 20 cm^2,\\Area of Rectangle 8 = 8 cm * 10 cm = 80 cm^2,\\\\Surface Area of Figure = 50 + 50 + 30 + 30 + 20 + 20 + 20 + 80 + 36 + 36 = 372 cm^2\\Volume of Figure = 36 cm^2 * 10 cm = 360 cubic cm[/tex]

c ) Solution; Increase of Surface Area ⇒ ( About ) 67.56 %, Increase of Volume ⇒ 100 %

Answer:

Hope this is correct

Answer:

what is /frac part supposed to be??

Step-by-step explanation:

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

Answer:

v/lh = w

Step-by-step explanation:

Divide Both Sides by the length and height to isolate width.

Answer:

a) 6°C

b) upward

Step-by-step explanation:

a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:

maximum temperature: 18 °C

minimum temperature: 12 °C

Then:

range of temperatures: 18-12 = 6°C

b) The trend is upward because, given any temperature, the next one is higher.

Answer:

Step-by-step explanation:

a) range is 6.

b) trend is upward.

Answer:

its not the top right one

Step-by-step explanation:

the other three are right

The three correct ways to describe an angle with a measure of 13° are  it turns through 13 one degree angles. It turns through 13/360  of a circle and It is the same size as 13 one degree angles.

What is Angle?

An angle is defined as the figure, in which two rays meet at a common point called the vertex. The angle is denoted using the symbol “∠”.

We have been given an angle with a measure of 13°

Acute: An angle with a measure less than 90° is considered acute. 13° is an acute angle.

Straight: An angle with a measure of exactly 180° is considered straight. 13° is not a straight angle.

Obtuse: An angle with a measure greater than 90° and less than 180° is considered obtuse. 13° is not an obtuse angle.

13° measure means it turns through 13 one degree angles.

It turns through 13/360  of a circle

It is the same size as 13 one degree angles.

Hence, the three correct ways to describe an angle with a measure of 13° are  it turns through 13 one degree angles. It turns through 13/360  of a circle and It is the same size as 13 one degree angles.

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Answer:

[tex]\frac{21.05}{0.2}=105.25[/tex]

Step-by-step explanation:

you have to do long division, but there is a number of steps, too many to put in here, but just check on calculator if you want to make sure

21.05 divided by 0.2 equals to 105.25

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

The process of dividing a number up into equal parts, and finding how many equal parts can be made.

Division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members.

Given that, 21.05 divided by 0.2

So, 21.05 ÷ 0.2 = 21.05/0.2

Multiply by 100

= 21.05 x 100 / 0.2 x 100

= 2105/20

= 421/4

= 105.25

Hence, 21.05 divided by 0.2 equals to 105.25

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Answer:

Step-by-step explanation:

The other factor has 4 decimal places because the number of decimal places in a product is the sum of number of decimal places in the factors.

Example = 4.3 * 2 = 8.6

      4.3 * 0.2 = 0.86

Answer:

Whats the problem?

Step-by-step explanation: