Lesson 5)
The population in a city is modeled by the equation pd) = 100,000 (1 + 0.3)
where is the number of decades since 1970
a. What do the 0.3 and 100,000 mean in this situation?
b. Write an equation for the function f to represent the population y years after
1970. Show your reasoning.
c. Write an equation for the function g to represent the population e centuries
after 1970. Show your reasoning.

Answer:

A) 2 : 3

Reason: Since their scale factor is 2 / 3, meaning that the object 2 / 3 of the other same object, so the volume also 2 / 3 of the other object

Answer:

A

Step-by-step explanation:

Because the average is already 49.333 If you rounded by tenth then 49.3 because.

Tenth is the 1rst number behind the decimal so the three looks to it's other neighbor hundredths because hundredths=second number behind decimal so 3 goes over to 3 and asks for help.

Because it is 4 and below you keep it low so 3 can't go up so your answer is 49.3 rounded to nearest tenth.

Hope this helps have a great day.

Answer:

A` ∪ B - not A and B. So basically that is everything except A - A ∩ B (including the cases outside).

A ∩ (A ∩ B)` = A - A ∩ B

So, I would say the statement is false.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

My recommendation is try to find a finals for both pre-algebra or algebra after learning some of the material ahead of time and after taking them, find which one is more comfortable for you

Good luck!

I would say Pre-algebra that is my thinking because pre algebra is easier               for me :)

Answer:

The area is 25.5

Step-by-step explanation

just because

Answer:

y=4x+7

Step-by-step explanation:

Answer: the answer is 18 kayaks

Step-by-step explanation:

i divided 108 by 6 to get 16 then just add 2

Answer:

r ≈ 3

Step-by-step explanation:

Using the formula:

V = [tex]\pi r^{2} h[/tex]

Rearrange to make r the formula:

r = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

r = [tex]\sqrt{\frac{282.6}{10\pi} }[/tex]

r ≈ 2.99924

r ≈ 3

Answer:

Step-by-step explanation:

We can find the slope by using two points on the line itself.

Lets use the points (0, -3) and (6, 0)

The slope's equation is [tex]\frac{y2 - y1}{x2-x1}[/tex]

Thus we get [tex]\frac{0 - - 3}{6-0} = \frac{1}{2}[/tex]

So the slope is 1/2

Hope that helps!

Answer:

slope = 1/2

Step-by-step explanation:

Use the formula:
[tex]\frac{dy}{dx}[/tex] OR  change in y/change in x

If we take an x value of -6 and y value of -3 we get 1/2 as the answer.

The approximate solution to the equation [tex]\dfrac{4}{x - 5} = \sqrt{x + 3} +2[/tex] found using

the Newton-Raphson method is option B.

B. 5.81

The given function is presented as follows;

[tex]\dfrac{4}{x - 5} = \mathbf{ \sqrt{x + 3} +2}[/tex]

Which gives;

[tex]\dfrac{4}{x - 5} -2= \sqrt{x + 3}[/tex]

[tex]\left(\dfrac{14-2\cdot x}{x-5} \right)^2 = \sqrt{x+3} ^2 = x+3[/tex]

[tex]\mathbf{\dfrac{4\cdot x^2 - 56 \cdot x + 196}{x^2-10\cdot x + 25}} = x + 3[/tex]

Therefore;

[tex]\mathbf{\dfrac{4\cdot x^2 - 56 \cdot x + 196}{x^2-10\cdot x + 25} - (x + 3)} = 0[/tex]

[tex]\dfrac{- x^3 + 11 \cdot x^2 - 51 \cdot x + 121}{x^2-10\cdot x + 25} = 0[/tex]

x³ - 11·x² + 51·x - 121 = 0

Using the Newton Raphson method, with x₀ = 6, we have;

[tex]x_1 = x_0- \dfrac{x^3 - 11 \cdot x^2 + 51 \cdot x - 121}{3 \cdot x^2 - 22 \cdot x + 51}[/tex]

Which gives;

[tex]x_1 = 6- \dfrac{6^3 - 11 \times 6^2 + 51 \times 6 - 121}{3 \times 6^2 - 22 \times 6 + 51} \approx \mathbf{ 5.81}[/tex]

The correct option is B. 5.81

Learn more about the roots polynomial functions here:

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Answer:

C

Step-by-step explanation:

A is incorrect because -3.1 is rational.

B is incorrect because 1.14 repeating is rational.

C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.

D is incorrect because pi is irrational.

y=x-1

When x=0, y = -1

When y=0, x = 1

delta y over delta x = 1/1 which means the slope is 1

Answer:

Slope is equal to 1.

Step-by-step explanation:

(-7, -8) --> (x1, y1)

(-5, -6) --> (x2, y2)

[tex]slope \: = \frac{y2 - y1 }{x2 - x1} \\ slope \: = \frac{ - 6 -( - 8) }{ - 5 - ( - 7)} \\ slope \: = \frac{ - 6 + 8}{ - 5 + 7} \\ slope \: = \frac{2}{2} \\ slope = 1[/tex]

Therefore the slope of the line is 1

Step-by-step explanation:

p=n+ 2/d

Multiply both sides of the equation by d.

pd=dn+2

Swap sides so that all variable terms are on the left hand side.

dn+2=pd

Subtract 2 from both sides.

dn=pd−2

The equation is in standard form.

dn=dp−2

Divide both sides by d.

dn = dp−2/d

Dividing by d undoes the multiplication by d.

n= dp−2/d

Divide pd−2 by d.

n=(p−2)/d

Answer:

$22.75

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Hi There!

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex] (Slope formula)

Where

y2 is the y-coordinate of the second point

y1 is the y-coordinate of the 1st point

x2 is the x-coordinate of the second point

x1 is the x-coordinate of the 1st point

In this case:

y2=3

y1=-2

x2-5

x1=0

Plug in the values and solve:

[tex]\displaystyle\frac{3-(-2)}{5-0}[/tex]

[tex]\displaystyle\frac{3+2}{5}[/tex]

[tex]\displaystyle\frac{5}{5}[/tex]

[tex]1[/tex]

The slope is: 1

Hope it helps!

Have an awesome day!

[tex]\huge\text{TheStarryNights :D}[/tex]

Answer:

Hi There! (Slope formula)Wherey2 is the y-coordinate of the second pointy1 is the y-coordinate of the 1st pointx2 is the x-coordinate of the second pointx1 is the x-coordinate of the 1st pointIn this case:y2=3y1=-2x2-5x1=0Plug in the values and solve:The slope is: 1Hope it helps!Have an awesome day!

Step-by-step explanation: hope this helps☁️

Answer:

145 degrees

Step-by-step explanation:

Linear pairs. 180-35=145

Answer:

145 degrees

Step-by-step explanation:

Angle H is next to what I assume is angle G. If you add those two together they will equal 180 degrees because they are supplementary angles. So your equation is

H= 180-35

Which equals 145

Answer:

$75

Step-by-step explanation:

Question:Mr Tarun earns dollar $12.50 a day how much would he earn if he works for 6 days?

Solution:$12.50 in a day

12.50 multiple by 6

=75

Ans.$75

HOPE IT HELPS

CARY ON LEARNING

Answer:

$75

Step-by-step explanation:

$12.50 x 6
= 75

Hello!

2(c-4+1)

= 2c -8 +2

= 2c -6

Answer:

140 cookies

Step-by-step explanation:

77=55%

55/5=11      

77/11=7

7=5%

it's 45% away from 100%

45/5= 9

9x7=63

63+77=140

Answers:

[tex]\sin(30^{\circ}) = \frac{1}{2}\\\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]

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

Work Shown:

Problem 1

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(30^{\circ}) = \frac{7}{14}\\\\\sin(30^{\circ}) = \frac{1}{2}\\\\[/tex]

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

Problem 2

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(30^{\circ}) = \frac{7\sqrt{3}}{14}\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\[/tex]

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

Problem 3

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{7\sqrt{3}}{7}\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]

The net income is the difference between the gross income and the total expenses

The net monthly balance is $1975

The monthly income is given as:

Income = $2700

The expenses are given as:

Fixed $625;

Living $1,200 (Annual)

The living expense is given per annual.

So, we start by calculating the monthly living expense

This gives

Living =$1200/12

Living = $100

The net balance is then calculated as:

Net = Income - Living - Fixed

This gives

Net = $2700 - $100 - $625

Net = $1975

Hence, the net income is $1975

Read more about net and gross income at:

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Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

Answer:

a) 235.62 cm³ (nearest hundredth)

b) 2. tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Step-by-step explanation:

volume of a cylinder = [tex]2\pi r^2h[/tex]  (where r is the radius and h is the height)

Given:

a) ⇒ volume = [tex]\pi \times 5^2 \times 3=75\pi =235.62[/tex] cm³ (nearest hundredth)

b)  Given:

⇒ volume = [tex]\pi \times 10^2 \times 3=300\pi =942.48[/tex] cm³ (nearest hundredth)

Given:

⇒ volume = [tex]\pi \times 5^2 \times 9=225\pi =706.86[/tex] cm³ (nearest hundredth)

Therefore, 2) tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Answer:

8 sq units

Step-by-step explanation:

hope it helps you

The cost of one orange is 76 p.

Division is a mathematical operation that is used to determine the quotient of a set of numbers. The sign used to denote division is ÷.

The first step is to know how many pence makes a pound.

100 pence = 1 pound

The second step is to convert £1 52 p to pence

1 x 100 + 52 = 152p

The third step is to divide, 152 by 2

152/2 = 74p

To learn how to convert units, please check: https://brainly.com/question/25993533

Answer:

Down Here

Step-by-step explanation:

Step 2:

Statement: m∠AEB ≅ m∠ CED

Reason: Vertical Angles

Step 3:

Statement: BE = DE

Reason: Def. of bisect

Step 4:

Statement: AE = CE

Reason: Def. of bisect

Step 5:

Statement: ΔAEB ≅ ΔCED

Reason: SAS

Step 6:

Statement: AB = DC

Reason: CPCTC (congruent parts of congruent traingles are congruent)

-Chetan K

Answer:

-47.7647058823 (should be answer)

Step-by-step explanation:

4(10-3y)=40-12y

40-12y+5y

combine terms

40-17y=18

add 40 to both side

-17y=58

divide both sides by -17

y= -3.41176470588

14x-3.41176470588=-47.7647058823

Answer:

2000

Step-by-step explanation:

First, we have to find how many votes there were.

Since the losing candidate had 40% of the votes, that means the winning candidate had 60% of the votes.

Let x = amount of votes for losing candidate

x/40 = 900/60

Cross multiply

60x = 36,000

Divide both sides by 60

x = 600

The losing candidate had 600 votes

Add that number to 900 and we find the total amount of votes, which is 1500.

This number is the people who voted.

Now we have to find how many did not vote.

Since 25% of people did not vote, that makes people who did vote 75%

Let y = amount of voters who did not vote

y/25 = 1500/75

75y = 37,500

Divide both sides by 75

75y/75 = 37,500/75

y = 500

This means that 500 voters did not cast a vote.

Add that number to 1500 and we get that the total amount of voters is 2000