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Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

Answers:

These values are approximate

=============================================================

Explanation:

The circumference formula is

C = 2*pi*r

which rearranges to

r = C/(2pi)

when solving for r.

Plug in the given circumference to find that

r = C/(2pi)

r = (39,750)/(2pi)

r = 6,326.40898790283

For the sake of the most accuracy possible, I'm using my calculator's stored version of pi (and not something like pi = 3.14); if your teacher requires you to use pi = 3.14 then follow those instructions of course.

The radius is roughly 6326 km when rounded to the nearest integer.

Keep in mind that the earth isn't a perfect sphere, but rather a slightly squished one. This means the earth is slightly fatter than it is tall. However, for the sake of this problem, we'll assume it's a sphere.

------------------------

Once you determine the circumference, aka distance around the circle, we can figure out the next problem: determining the distance from the north pole to the equator. This distance runs along a line of longitude, so it's a north-south distance.

Again, imagine the earth is a perfect sphere. This means that the equator circumference is the same as the circumference as a full longitude line when we travel the globe only along that line. In other words, start at the north pole, travel along that specific longitude only until you reach the south pole. Then staying on that line, travel back to the north pole going around the backend of the earth.

That full circular path we traveled will get cut into 1/4 because 1/2 the circumference is the portion from north to south pole, and then we cut that distance in half when going from north pole to the equator.

(1/4)*(6,326.40898790283) = 1,581.6022469757

That rounds to 1582 km

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Side notes:

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Answer:

The focus is: [tex](0,2)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{1}{8}x^2[/tex]

Required

Determine the focus

The focus of a parabola

[tex](x- h)^2 = 4p(y - k)[/tex]

is:

[tex](h,k+p)[/tex]

So, we have:

[tex]y = \frac{1}{8}x^2[/tex]

Cross multiply

[tex]8y = x^2[/tex]

Rewrite as:

[tex]x^2 = 8y[/tex]

Rewrite as:

[tex](x - 0)^2 = 8(y - 0)[/tex]

Express 8 as 4 * 2

[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]

By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]

[tex]h = 0[/tex]    [tex]p =2[/tex]     [tex]k = 0[/tex]

So, the focus [tex](h,k+p)[/tex] is:

[tex](h,k+p) = (0,0+2)[/tex]

[tex](h,k+p) = (0,2)[/tex]

Answer:

I don't know the answer

Step-by-step explanation:

c.1

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

[tex] x_{1} = 3 + \sqrt {6} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Step-by-step explanation:

Given the quadratic equation;

x² - 6x + 3 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 1, b = -6 and c = 3

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]

[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = 3 + \sqrt {6} [/tex]

Or

[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Answer:

160,000

Step-by-step explanation:

                   251

                × 638

     _______________

                2008

                753

    +       1506

__________________

            160138

Product to the  nearest thousand = 160,000            

Answer:

AOB = 65

DOE = 35

AOC = 90

EOB = 115

DOB = 80

Answer

Step-by-step explanation:

Replace x and y

[tex](3 \: \: \: 25)[/tex]

[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]

So, the point (3,25) lie on the line y=6x+7

hope this helps you.

Have a nice day!

Answer:

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be [tex]x[/tex] and [tex]y[/tex]

such that:

[tex]x + y = 7[/tex]

[tex]x*y = -44[/tex]

Required

Find x and y

Make y the subject in: [tex]x + y = 7[/tex]

[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]

[tex]x(7-x) = -44[/tex]

Open bracket

[tex]-x^2 +7x = -44[/tex]

Rewrite as:

[tex]x^2 -7x -44=0[/tex]

Expand

[tex]x^2 +4x-11x -44=0[/tex]

Factorize

[tex]x(x +4)-11(x +4)=0[/tex]

Factor out x + 4

[tex](x -11)(x +4)=0[/tex]

Solve for x

[tex]x =11; x =-4[/tex]

Recall that:

[tex]y = 7 - x[/tex]

So:

[tex]y = 7-11 = -4[/tex]

or

[tex]y = 7--4 = 11[/tex]

Answer:

No

Step-by-step explanation:

Answer: its not right triangle

Step-by-step explanation: no becauce  [tex]11^2+15^2\neq 18^2=> 346\neq 324[/tex]

Hope this helps. Sorry for wrong answers

Answer:

C = 3

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

The standard deviation of the data will be;

⇒ 4.13

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The data set is,

⇒ 23, 19, 28, 30, 22

Now,

Since, The data set is,

⇒ 23, 19, 28, 30, 22

Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5

                            = 122/5

                            = 24.4

So, The standard deviation is;

√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)

⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4

⇒ √ 81.2/4

⇒ √20.3

⇒ 4.13

Thus, The standard deviation of the data will be;

⇒ 4.13

Learn more about the standard deviation visit:

https://brainly.com/question/475676

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To calculate the standard deviation of the data set, we can use the formula:

$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$

Where:

$x_i$ is each data point

$\mu$ is the mean of the data set

$n$ is the number of data points

For the data set given, the mean is $\mu = 24.4$

Plugging in the values into the formula, we get:

$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$

After evaluating the expression, we get:

$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$

So the standard deviation of the data set is 1.91.

To learn more about data set please click on below link.

https://brainly.com/question/3213383

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