In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

There are 5,789 digits in total required to number the pages of a book with 1,724 pages.

A numbering is the assignment of natural numbers to a set of objects in some formal language, such as functions, rational numbers, graphs, or words, in computability theory.

Given the total number of pages is 1,724

Let's break down the pages now to find the total digits.9

one-digit numbers (1-9) = 9 x 1 = 9 digits make up the number 1,724.90 numbers with two digits (10-99) = 90 x 2 = 180 digits900 three-digit numbers (from 100 to 999) = 900 times three = 2700 digits725 numbers with four digits (1000-1724) = 725 x 4 = 2900 digits

Let's add the digits now.9 + 180 + 2700 + 2900 = 5,789

As a result, the total number of digits required to number the pages of a 1,724-page book is 5,789.

Learn more about numbering here: https://brainly.com/question/251701

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Answer:

Area of rectangular prism = 1,578 inch²

Step-by-step explanation:

Given:

Length of rectangular prism = 15 in

Width of rectangular prism = 11 in

Height of rectangular prism = 24 in

Find:

Total fabric need

Computation:

Total fabric need  = Area of rectangular prism

Area of rectangular prism = 2[lb + bh + hl]

Area of rectangular prism = 2[(15)(11) + (11)(24) + (24)(15)]

Area of rectangular prism = 2[165 +264 + 360]

Area of rectangular prism = 2[789]

Area of rectangular prism = 1,578 inch²

Answer:

7^5 (the arrow means it is an exponent)

Answer:

B = 44°

c = 27.8

b = 19.3

Step-by-step explanation:

m∡B = 180 - (90 + 46)

sin46° = 20/c

c = 20 / sin 46°

c = 27.8

b² + 20² = 27.8²

b² + 400 = 772.84

b² = 372.84

b = [tex]\sqrt{372.84}[/tex]

b = 19.3

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/21

Explanation:

4/7 x 1/6 = 4/42 = 2/21

I hope this helped!

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Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

it is true

Answer:

left hand side6+2x

6x-6

right hand side

3(2x-2)

6x-6

now

6x-6=6x-6

0=0

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

Answer:

I'm pretty sure its C or D I could be wrong still but.

Answer:

416

Step-by-step explanation:

for 700 350 plus 350 then for dryer 66 extra so 350 plus 66

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

Answer:

Hello! Your answer is ,19 and 10

Step-by-step explanation:

Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia

Answer:

1375

Step-by-step explanation:

10*25+15*75 = 1375

Answer:

4x+12+3x+7x(3+5)+6=90

Combine like terms.

4x+12+3x+56x+6=90

63x+18=90

63 x = 72

x = 72/63

x = 8/7

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

X is many things but B is correct.

Answer:

x = 42

y = 38.

I'm pretty sure this is the answer

Answer: x=42 y=48

Step-by-step explanation:

The angle with 42° and the blank space should add up to 90° so you would have to do 90-42=48° to find the blank space. As opposite angles are equal that means y=48° too.

Then to find out what x is you have to do 90-48=42° as the part with x and y in it has to add up to 90°.

You can check this by checking the two quarters. They should both add up to 90°.

42+48=90°

48+42=90°

So we know its correct.

Hope this helps :)

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Answer:

[tex]t > 4.5[/tex]

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

[tex](t_1,T_1) = (0,5)[/tex] --- at midnight

[tex]m = -2[/tex] --- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

[tex](t_2,T_2) = (t,-4)[/tex]

[tex](t_1,x_1) = (0,5)[/tex]

Using the slope formula, we have:

[tex]m = \frac{T_2 -T_1}{t_2 - t_1}[/tex]

[tex]-2 = \frac{-4-5}{t -0}[/tex]

[tex]-2 = \frac{-9}{t}[/tex]

Solve for t

[tex]t = \frac{-9}{-2}[/tex]

[tex]t = 4.5[/tex]

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

[tex]t > 4.5[/tex]

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

[tex]30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12[/tex]

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

Answer:

2.13333333333

Step-by-step explanation:

First you do 5x3+1 = 16/5

Second, you do 2x1+1 = 3/2

Third, you divided 16/5 by 3/2.

Answer:

1/36

Step-by-step explanation:

P=(1/6)(1/6)=1/36

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

Answer:

Step 1-2

Step-by-step explanation:

The person doing this question, did not distribute the 6 properly.

They distributed the 6 to the x, but not to the 4.

When done properly, it should be:

6x+24=3x-2

Answer:

step 2

Step-by-step explanation:

4 times 6=24

6(x+4)=3x-2

6x+24=3x-2

3x+24=-2

3x=-26

Answer:

36

Step-by-step explanation:

36 is the corresponding angle to the angle which is vertically opposite to g.

Corresponding angles are equal.

Vertically opposite angles are equal.

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

Answer:

It is 8!

Proof:

I took the activity.