Mathematics High School

Please help quickly! and Correctly. :)

There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.

Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)

Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)

Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

(10 points)

Answers

Answer 1

Answer:

We know that:

Neighbourhood A = 30 homes and the number increases by 20% each year

Neighbourhood B = 45 homes, and each year 3 new homes are built.

Neighbourhood A and B are as follows:

For neighbourhood A: f(x) =

For neighbourhood B: f(x) = 45 + 3x

Over five years:

Neighbourhood A has =

Neighbourhood A =

Neighbourhood A = 74.65 homes

Neighbourhood B: = 45 + 3(5)

Neighbourhood B: = 45 + 15

Neighbourhood B: = 60 homes

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

So x= 3.3

so, hence after 3.3 years, the number of homes will be the same.

Step-by-step explanation:

Hope this helped, good luck

Related Questions

Mr. Rodrigo pours himself a glass of orange juice every morning. Yesterday he drank 5/6 of his glass. Today he drank 7/12 of his glass. On which day did drink more

Answers

Yesterday.
Exp: if you make the denominators equal, 5/6 becomes 10/12 which is more than 7/12

Select the correct answer for the blank: if everything else stays the same, the required sample size ____ as the confidence level decreases to reach the same margin of error. answer: question 1 options: increases decreases remains the same

Answers

The complete statement is "if everything else stays the same, the required sample size decreases as the confidence level decreases to reach the same margin of error." This is further explained below.

What is the margin of error?

Generally, the margin of error is simply defined as a measure of how far your findings depart from the population average.

In conclusion, As confidence levels decline, the needed sample size reduces to provide the same margin of error, assuming all other variables remain constant.

Answers

Answer: Lines with congruent corresponding angles are parallel.

CG is parallel to AB because Lines with congruent corresponding angles are parallel.

How to define transverse lines?

From the given image, we see that there is a transverse line cutting across lines AB and CG.

Now, from transverse line theorem we know that If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Thus, we can conclude that CG is parallel to AB because Lines with congruent corresponding angles are parallel.

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-7–2.1n=-3.5n PLEASE ANSWER

Answers

Answer:

n=5

Step-by-step explanation:

-7-2.1n=-3.5n

+2.1n +2.1n

-7 = -1.4n

/-1.4 /-1.4

n=5

Hope this helps!

If not, I am sorry

Answer:

b = - 1.25

Step-by-step explanation:

-7 - 2.1n = 3.5n

-7 = 3.5n + 2.1n

-7 = (3.5+2.1)n

-7 = 5.6n

-7/5.6 = n

n = -1.25

Check:

-7 -(2.1*-1.25) = 3.5*-1.25

-7 + 2.625 = -4.375

What is a simpler form of the radical expression?

SOMEONE PLEASE HELP!!

Answers

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

To Find:

The Simpler form of this expression

Soln:

[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

We could re-write the given expression, according to the law of exponents:

[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]

Now we need to bring terms out of the radical as:

[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]

Bring out 6x^4 from the absolute & put y^3 only in it:

[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]

Choice B is accurate.

find the circumference of an object. use 3.14 or 22/7 for pi. round to the nearest hundredth if necessary. 9 cm

Answers

Step-by-step explanation:

to find the circumference of an object take pie and the radius and multiply it by 2

equation: 2 pie r

if r is 9 the answer is 56.55

9x2=18

18xpie=56.55

Vector bought 15.6 pounds of paintballs. Ali together, the balls cost 35.99. About how much did the paintball cost per pound

Answers

Answer:

about $2.31 per pound

Step-by-step explanation:

35.99/15.6 = 2.30705128205

2.31

Have a good day! :)

what is the answer to 8^6÷8

Answers

the answer to this equation is 8^5

Answer:

32768

Step-by-step explanation:

8^6 is 262144

then divide 262144 by 8

so 262144 / 8 = 32768

Hope This Helped

Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles

Answers

Answer:

Ans : A. Straight angle

Step-by-step explanation:

Brainliest me pls

#KEEPSAFE

#STUDYWELL

#G'MORNING

Brain

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data.

A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5.

Which is the approximate slope of the line of best fit for the data?

Answers

Using a calculator, it is found that the approximate slope of the line of best fit for the data is of -4.54762.

How to find the slope of the line of best fit?

The slope is found inserting the points (x,y) in a calculator. In this problem, the points are as follows:

(1, 36), (2,34), (3,30), (4,31), (5,23), (6,16), (7,11), (8,5).

Hence, using the calculator, the slope is of -4.54762.

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Four graphs are shown below:

Four graphs named Graph A, Graph B ,Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,12 and 1,20 and 2,28 and 3,31 and 4,42 and 5,53 and 6,61 and 7,72 and 8,88 and 9,83 and 10,92. A straight line joins 0, 12 and 6,100 in Graph A. A straight line joins 0, 12 and 10, 50 in Graph B. A straight line joins 0, 10.5 and 10, 95 in Graph C. A straight line joins 0, 30 and 8,100 in Graph D.

Which graph best shows the line of best fit?

Graph A

Graph B

Graph C

Graph D

Answers

The graph that best shows the line of best fit is graph (c)

How to determine the best graph?

A graph that shows the appropriate line of best fit has the following properties:

The line of best fit has equal approximately points on either sideThe line of best fit touches as many points as possible

The graph that satisfies the above highlights is the graph (c)

Hence, the graph that best shows the line of best fit is graph (c)

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Answer:

Step-by-step explanation:

I need help with this

Answers

Answer:

The answer is B

Step-by-step explanation:

f(x) = -3x - 5

g(x) = 4x - 2

= -3x - 5 - (4x - 2)

= -7x - 3

Answer:

B. -7x - 3

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x): -3x - 5

g(x): 4x - 2

f(x) - g(x) = (-3x - 5) - (4x - 2)

= -3x - 5 - 4x + 2

= (-3x - 4x) + (- 5 + 2)

= (-7x) + (-3)

If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate difference in their volumes? use 3. 14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1. 0 cubic inch 17. 2 cubic inches 40. 2 cubic inches 137. 8 cubic inches.

Answers

The approximate difference in their volumes is 17.2 cubic inches

How to determine the difference in the volume?

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The difference is then represented as:

[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]

Substitute known values

[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

Answers

Two prisms with the same volume are rectangular prisms of the dimensions 1 by 4 by 9 and 2 by 3 by 6

How to create the prisms?

To do this, we start by determining the type of prism to create.

Assume that we want to create a rectangular prism.

The volume of a rectangular prism is:

Volume = Length * Width * Height

Using the digits 1 - 9, we have:

Prism 1

Length = 1

Width = 4

Height = 9

The volume is

Volume = 1 * 4 * 9 = 36

This means that the second prism must have a volume of 36.

Using the digits 1 - 9, we have:

Prism 2

Length = 2

Width = 3

Height = 6

The volume is

Volume = 2 * 3 * 6 = 36

Notice that the digits are not repeated.

Hence, two prisms with the same volume are rectangular prisms of the dimensions 1 by 4 by 9 and 2 by 3 by 6

Answers

Using the normal distribution, it is found that 2.15% of bedroom apartments in the city cost between $750 and $1,000.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 1500, \sigma = 250[/tex]

The proportion of apartments that cost between $750 and $1,000 is given by the p-value of Z when X = 1000 subtracted by the p-value of Z when X = 750, hence:

X = 1000:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1000 - 1500}{250}[/tex]

Z = -2

Z = -2 has a p-value of 0.0228.

X = 750:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{750 - 1500}{250}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0228 - 0.0013 = 0.0215.

0.02215 = 2.15% of bedroom apartments in the city cost between $750 and $1,000.

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Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?

Answers

The solution to the inequality expression is x ≥ - 5

Inequality expressions

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

Expand

-4x - 12 ≤ -2 - 2x

Collect the like terms

-4x + 2x ≤ -2 + 12

-2x ≤ 10

Divide both sides by -2

-2x/-2 ≤ 10/-2
x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

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Answer:

First line

Explanation: Edge2023

order from the least to the greatest 5 -13 _19 -8 _14 -12

Answers

If you meant - instead of _, the order would be -19, -14, -13, -12, 18, 5

If you mean for the numbers with _ to be positive, the order is -13, -12, -8, 5, 14, 19

Find the slope and y-intercept for the following graph of a linear equation

Answers

Answer:

Slope: [tex]\frac{4}{1}[/tex]

Y - intercept: -1

Step-by-step explanation:

We can see from the graph that the slope is [tex]\frac{4}{1}[/tex].

We can also identify the y - intercept as -1.

Therefore, the linear equation would be y = [tex]\frac{4}{1}[/tex]x -1

Hope this helps:) Goodluck!

i dont now this question

Answers

Answer:

y = 108

Step-by-step explanation:

2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .

Now we solve for x :

Subtract 2x from both sides :

16 = x - 12

Now we add 12 to both sides :

28 = x

Angle 3x-12 and y add up to 180 as they are on a straight line :

3x-12 + y = 180

Substitute x and solve for y :

3(28) - 12 + y = 180

84 - 12 + y = 180

72 + y = 180

y = 108

Hope this helped and have a good day

pls help me im confused!
angle #1 = x = ?

angle #2 = X + 30 = ?

Answers

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.

What are Complementary Angles?

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,

∠1 + ∠2 = 90°

x + x + 30 = 90°

2x = 60°

x = 30°

Thus, the measure of the angles can be written as,

∠1 = x = 30°

∠2 = x+30° = 60°

Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.

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the hcf of 12x^2-4xy+15x-5y

Answers

Answer:

-1

Step-by-step explanation:

We have 2 letters, x and y. what letter is in all of them? none of them. that means the HCF can't contain a letter. let's take away the letters, we have 12, -4, 15, -5. Since -5 is a prime number. the answer is -1

[((a ^ 2 - 25b ^ 2) ^ 3 + (25b ^ 2 - 9c ^ 2) ^ 3 + (9c ^ 2 - a ^ 2) ^ 3)/((a - 5b) ^ 3 + (5b - 3c) ^ 3 + (3c - a) ^ 3)]

Answers

The factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

To answer the question, w e need to know what factorization is

What is factorization?

Factorization is the breaking down of a larger expression into smaller expression by grouping it into its factors.

So, [{(a² - 25b²}³ + {25b² - 9c²}³ + {9c² - a²}³)/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]

= [{(a² - (5b)²}³ + {(5b)² - (3c)²}³ + {(3c)² - a²)})/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]

Using the fact that x² - y² = (x + y)(x - y) in the terms in the numerator, we have

[{(a - 5b)(a + 5b)}³ + {(5b - 3c)(5b + 3c)}³ + {(3c - a)(3c + a)}³/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]

Factorizing out the denominator, we have

= [{(a + 5b)/(a - 5b)}³ + {(5b + 3c)/(5b - 3c)}³ + {(3c + a)/(3c - a)}³[(a - 5b)³ + (5b - 3c)³ + (3c - a)³]/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]

Cancelling out the denominator, we have

= [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

So, the factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³

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Find the indicated measures for each circle 0

Answers

Answer:

there are no indicate measure bro in circle

Step-by-step explanation:

Why was federal ruling system implemented in Nepal?Give any four reasons

Find the 14 term of the following geometric sequence.
10, 20, 40, 80,

Answers

Answer:

81920

Step-by-step explanation:

Finding the common ratio (r) :

20/102

Finding the 14th term :

a₁₄ = ar¹⁴⁻¹a₁₄ = ar¹³a₁₄ = (10)(2)¹³a₁₄ = (10)(8192)a₁₄ = 81920

Answer:

the 14th term in the sequence would be 81920.

Step-by-step explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

Why won't anyone help me :(

Answers

The probability will include:

P(A and 1) = 1/24

P(C and 2) = 1/12.

P(B and 3) = 1/12.

P(A and 4) = 1/12

How to calculate the probability?

The probability of P(A and 1) will be:

= 1/4 × 1/6

= 1/24

The probability of P(C and 2) will be:

= 1/4 × 2/6

= 1/12

The probability of P(B and 3) will be:

= 2/4 × 1/6

= 1/12

The probability of P(A and 4) will be:

= 1/4 × 2/6

= 1/12

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help me pls I need to get my grade up before July 11th so help ASAP

Answers

Second option:
-7x^2+4x+2

From his eye, which stands 1.63 meters above the ground, Isaac measures the angle
of elevation to the top of a prominent skyscraper to be 17°. If he is standing at a
horizontal distance of 294 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answers

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the skyscraper, hence:

tan(17) = h/294

h = 89.88 meter

Total height = 89.88 + 1.63 = 91.51 meter

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

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Solve the system of equations.

8x – y = 8
8x2 – y = 8

(0, 8) and (0, –8)
(1, 0) and (0, –8)
(2, 8) and (1, 0)
(3, 16) and (2, 24)

Answers

Answer:

(1, 0 ) and (0, - 8 )

Step-by-step explanation:

8x - y = 8 → (1)

8x² - y = 8 → (2)

since both equations are equal to 8 then equate the left sides

8x² - y = 8x - y ( subtract 8x - y from both sides )

8x² - 8x = 0 ← factor out 8x from each term

8x(x - 1) = 0

equate each factor to zero and solve for x

8x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) and solve for y

x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒ (0, - 8 )

x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )

Construct three parallel lines. Then construct two arbitrary non parallel transversal of the parallel lines. Make sure that the transversals cut the three parallel lines at distinct points mark the points of intersection where the transversals cut the parallel lines. Take a screenshot of your construction, save it, and insert the image below.

Answers

The image lines constructed are called parallel lines. They are parallel because they are all equidistant to each other at every point and at no point between any of the lines will there be an intersection of the three lines.

What does it mean for two or more lines to be equidistant from each other?

Equidistance is simply another word for equal in distance. That is, parallel lines maintain equal distance from each other at all points along them.

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What is 12x³ – 9x² − 4x + 3 in factored form?
Pls hurry

Answers

Answer:

[tex]\bold{\green{(4x-3)(3x^{2}-1) }}[/tex]

Step-by-step explanation:

[tex]\sf{12x^{3}-9x^{2}-4x+3 }[/tex]

[tex]\sf{3x^{2}(4x-3)-1(4x-3) }[/tex]

[tex]\sf{(4x-3)(3x^{2}-1) }[/tex]

Answer:

(3x^2 - 1)(4x - 3)

Step-by-step explanation:

We can use grouping to factor this

12x^3 – 9x^2 − 4x + 3

group into: (12x^3 – 9x^2)(− 4x + 3)

Solve one side at a time:

(12x^3 – 9x^2)

3x^2(4x - 3) factor out a 3x^2

(− 4x + 3)

- 1 (4x - 3) factor out a -1

put the two equations togeth

(3x^2 - 1)(4x + 3)

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