Translate the point (- 8, - 6) to the new origin given (h, k). Given center (h, k) = (5, 4), find point (x', y').

(13, 10)
(-13, -10)
(-3, -2)

Answer:

Step-by-step explanation:

Ranking:

Compound the interest every month instead of every two months.

Increase the interest rate by 1%.

Let the account increase for one more year.

Increase the starting amount by $100.

Calculations:

If the interest is compounded monthly instead of every two months, the final value would be $1,357.36, which is an increase of $9.18 compared to the original value.

If the interest rate is increased to 6%, the final value would be $1,411.58, which is an increase of $63.40 compared to the original value.

If the account increases for one more year at the same interest rate, the final value would be $1,435.09, which is an increase of $86.91 compared to the original value.

If the starting amount is increased by $100, the final value would be $1,421.61, which is an increase of $73.43 compared to the original value.

We may conclude after answering the presented question that This ratio indicates that the guys picked up 5 pieces of rubbish for every 8 pieces of rubbish picked up by the girls.

In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit plate, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of integers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.

The ratio in the narrative is represented by the following diagram:

Girls : Boys=8:5

This indicates that the guys picked up 5 pieces of rubbish for every 8 pieces of rubbish picked up by the girls.

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Answer:

Let's denote the duration of each episode of Lola's podcast by "L" and the duration of each episode of Franco's podcast by "F".

From the information given, we can write two equations based on the total duration of content for the two years:

17L + 43F = 5,645 (equation 1)

36L + 43F = 6,956 (equation 2)

To solve for L and F, we can eliminate F by subtracting equation 1 from equation 2:

(36L + 43F) - (17L + 43F) = 6,956 - 5,645

Simplifying, we get:

19L = 1,311

Therefore, the duration of each episode of Lola's podcast (L) is:

L = 1,311 / 19

L ≈ 69.0 minutes

To find the duration of each episode of Franco's podcast (F), we can substitute the value of L into either equation 1 or 2:

17L + 43F = 5,645

17(69.0) + 43F = 5,645

1,173 + 43F = 5,645

43F = 4,472

F = 4,472 / 43

F ≈ 104.0 minutes

Therefore, each episode of Lola's podcast is approximately 69.0 minutes long, and each episode of Franco's podcast is approximately 104.0 minutes long.

The graph is increasing from 0 minutes to 40 minutes, decreasing from 40 minutes to 80 minutes, and constant from 80 minutes to 200 minutes.

The rate of global warming is increasing. Every year, average global temperatures continue to rise, leading to more extreme weather events and disruptions to the environment. This has been caused by human activities, such as burning fossil fuels, which release carbon dioxide and other greenhouse gases into the atmosphere. These gases trap heat, leading to a rise in temperatures.

The domain of the relation is the set of all time values, ranging from 0 minutes to 200 minutes. The range of the relation is the set of all depth values, ranging from 0 feet to 8 feet.

The graph represents a function because for every value of time, there is exactly one corresponding value of depth.

The graph shows the depth of water in a horse trough over a certain amount of time. The graph starts at 0 feet and increases to a maximum of 8 feet over the first 40 minutes. After 40 minutes, the depth of the water starts to decrease until it reaches a minimum of 2 feet at 80 minutes. After 80 minutes, the depth of the water remains constant at 2 feet until the end of the graph at 200 minutes.

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Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way as before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equations:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer: 9x^2y

the gcf of -63 , 9 and 90 is 9

And the gcf of the variables is x^2 and y

So, 9x^2y

The loan's simple interest rate is 4%.

Simple interest can be defined as a technique used to calculate the proportion of interest paid on a sum over a set time period at a set rate.

To determine the loan's simple interest rate, we can use the simple interest formula:

A = P(1 + rt)

Where

We can rearrange this formula to solve for the interest rate r:

r = (A/P - 1) / t

Plugging in the given values, we get:

r = ($7280.00/$7000.00 - 1) / 1

r = 0.04 or 4%

Therefore, the loan's simple interest rate is 4%.

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Answer:

2.25

Step-by-step explanation:

9 × 250 m = 2250 mL

1 L = 1000 m

2250 mL × (1 L)/(1000 mL) = 2.25 L

Answer:

X is 4.

Step-by-step explanation:

Hope this helps!

The volume of the second cylinder is 90 square feet.

Here we know that a cylinder whose height is 1 ft has a volume of 10 ft², remember that the volume for a cylinder of radius R and height H is:

V =pi*R²*H

Where p = 3.14

Then the radius here is:

10 = 3.14*R²*1

√(10/3.14) = R

If we triple the diameter we also triple the radius, then the volume of the other cylinder will be:

V = 3.14*(3*√(10/3.14))²*1

V = 90

The volume is 90 square feet.

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Answer: 12, 32/11

Step-by-step explanation:

3 12

4 32/11

Answer:

4096/15625 or

0.262144 or

(4/5)^6

The equatiοns οf the asymptοtes fοr g(x) = 3tan(2x) x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

The asymptοte is a line οr curve that a functiοn apprοaches but never crοsses as the independent variable gets clοser tο a specific number οr infinity. A line οr curve that the graph οf a functiοn apprοaches steadily but never meets is referred tο as an asymptοte.

The fοllοwing is the expressiοn fοr the vertical asymptοtes οf the functiοn g(x) = 3tan(2x):

x = (2n + 1)π/4

where n is an integer.

This is because the tangent function approaches infinite when 2x is an odd multiple of [tex]\pi[/tex]/2,

The tangent function, on the other hand, has vertical asymptotes at odd multiples of [tex]\pi[/tex]/2.

So the vertical asymptotes of g(x) in the range of x = [-90°; 90°] are:

x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

Examining the behavior of the tangent function as x approaches positive or negative infinity can reveal the horizontal asymptotes of the function g(x) = 3tan(2x).

As x approaches odd multiples of /2, the tangent function oscillates between positive and negative infinity, so no horizontal asymptotes exist.

As a result, in the given range, the formulae for the vertical asymptotes of the function g(x) = 3tan(2x) are:

x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

Therefore, no horizontal asymptotes exist.

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There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Each classroom has 6 rows of 5 desks.

So the total number of desks in one classroom.

= 6 rows x 5 desks per row

= 30 desks

To find the total number of desks in 45 classrooms, we can multiply the number of desks in one classroom by the number of classrooms.

= 30 desks per classroom x 45 classrooms

= 1,350 desks

Therefore,

There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.

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Answer:

Step-by-step explanation:

f Trevor used 2 lb 6 oz of a 5-lb bag of potatoes, then the weight of the remaining potatoes is:

5 lb = 80 oz (since 1 lb = 16 oz)

Remaining potatoes = Total potatoes - Used potatoes

Remaining potatoes = 80 oz - 2 lb 6 oz

Remaining potatoes = 80 oz - (2 × 16 oz + 6 oz)

Remaining potatoes = 80 oz - 38 oz

Remaining potatoes = 42 oz

Therefore, the remaining potatoes weighed 2 lb 10 oz (or 42 oz).

Answer:

To find the total surface area of the square pyramid, we need to find the area of each of its faces and add them up.

The pyramid has a square base with sides of 8 inches and each triangular face has an isosceles right triangle shape with two sides of 8 inches and a hypotenuse of 2 x 8 = 16 inches (using the Pythagorean theorem).

The total surface area is then:

Area of the square base: 8 x 8 = 64 square inches

Area of each triangular face: 1/2 x 8 x 8 = 32 square inches (since each triangle is isosceles with base and height of 8 inches)

Total surface area: 4 x 32 + 64 = 192 + 64 = 256 square inches

Therefore, the total surface area of the square pyramid is 256 in². So, the closest answer option is 256 in, 2.

Answer:The leading term in a polynomial is the term with the highest degree.

Step-by-step explanation:

Step-by-step explanation:

y = 3 x^2 - 4 x - 1

leading coefficient is 3  and its sign is ' + '   or positive

the correct option for this question is  (a) e < 53.

Why it is?

The inequality that represents Natasha's earnings, e, from any of the companies she interviewed with is:

e < 53.5

This is because her projected earnings per hour range from $25.13 to $53.5, and the maximum value is $53.5. So, her earnings from any of the companies cannot be greater than $53.5 per hour. Therefore, the correct answer is option (a) e < 53.

Earnings are the amount of money that a person earns from their work, business, investments, or other sources of income. This can include salaries, wages, commissions, bonuses, and profits, among others.

Earnings are typically reported as gross income, which is the total amount earned before taxes and other deductions are taken out. It is an important measure of a person's financial well-being and is often used to determine eligibility for credit or loans. Earnings can vary widely depending on a person's job, level of experience, education, and industry, among other factors.

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Answer: Exponential & $11,709.83

Step-by-step explanation:

The growth of the investment can be represented by an exponential function because the interest is being compounded quarterly, which means that the interest is being added to the account balance and the account balance is growing exponentially over time.

The formula for the future value of an investment with continuous compounding is:

A = P e^(rt)

Where A is the future value, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate expressed as a decimal, and t is the time in years.

In this case, the principal investment is $10,000, the annual interest rate is 3.2%, and the interest is compounded quarterly, so the quarterly interest rate is 3.2%/4 = 0.8%. The time period is 5 years, so t = 5.

The formula for the future value of an investment with quarterly compounding is: A = P (1 + r/n)^(nt)

Where n is the number of compounding periods per year, which is 4 in this case.

Substituting the values, we get:A = $10,000 (1 + 0.032/4)^(4*5) = $11,709.83

Therefore, the value of the account after 5 years is $11,709.83 rounded to the nearest cent.

Answer: 50,000,000

Step-by-step explanation:

Given number is 54825638

The number at the tens place is 4 which is less 5. So, round down the value.

rounded value of 54825638 is 50000000.

Therefore, 54825638 rounded to the nearest Hundreds is 50000000.

Answer:

We can use the half-angle formula for sine to find the exact value of sin(a/2) in terms of sin(a):

sin(a/2) = ±√[(1 - cos(a))/2]

where the ± sign depends on the quadrant of a/2.

To use this formula, we first need to find cos(a). We can do this using the identity:

sin^2(a) + cos^2(a) = 1

Substituting sin(a) = 7/9, we get:

(7/9)^2 + cos^2(a) = 1

Simplifying and solving for cos(a), we get:

cos(a) = ±4/9

Since a is in quadrant I, we take the positive value of cos(a):

cos(a) = 4/9

Now we can use the half-angle formula for sine to find sin(a/2):

sin(a/2) = ±√[(1 - cos(a))/2]

Substituting cos(a) = 4/9, we get:

sin(a/2) = ±√[(1 - 4/9)/2]

Simplifying, we get:

sin(a/2) = ±√(5/18)

Since a is in quadrant I, a/2 is also in quadrant I, so we take the positive value of sin(a/2):

sin(a/2) = √(5/18)

Therefore, the exact value of sin(a/2) is √(5/18)

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf y = x + 4}[/tex]

Step-by-step explanation:

Slope = m = 1

Point = (x,y) = (6,10)

Here, x = 6 and y = 10

y = mx + c

Where m is slope and c is y-intercept.

Put x, y and m in the above equation.

10 = (1)(6) + c

10 = 6 + c

10 - 6 = c

So,

y = (1)x + (4)

[tex]\rule[225]{225}{2}[/tex]

Answer:

P = 8g⁵ - 15g + 14

Step-by-step explanation:

This question has expressions to represent the side lengths of a triangle.

The side lengths are:

-8g⁵ - 7g

10g⁵ - 8g

6g⁵ + 14

They ask for a simplified expression for the perimeter. The purpose of this question is to combine like terms.

P = s₁ + s₂ + s₃ where s is a side length of the triangle.

P = (-8g⁵ - 7g) + (10g⁵ - 8g) + (6g⁵ + 14)

P = 8g⁵ - 15g + 14

Answer:

Step-by-step explanation:

We can use the market-to-book ratio to calculate the company's market price per share.

Market-to-book ratio = Market value per share / Book value per share

Book value per share = Shareholder equity / Number of shares outstanding

We are given the market-to-book ratio as 2.60, and the shareholder equity as R1000 000. We can calculate the book value per share as follows:

Book value per share = R1000 000 / Number of shares outstanding

To calculate the number of shares outstanding, we can use the earnings per share (EPS) formula:

EPS = Earnings / Number of shares outstanding

We are given the earnings per share as R2.50, and the earnings after interest and taxes as R600 000. Substituting these values, we get:

R2.50 = R600 000 / Number of shares outstanding

Solving for Number of shares outstanding:

Number of shares outstanding = R600 000 / R2.50 = 240,000 shares

Now, we can calculate the book value per share:

Book value per share = R1000 000 / 240,000 = R4.17 per share

Finally, we can calculate the market value per share using the market-to-book ratio:

Market-to-book ratio = Market value per share / Book value per share

2.60 = Market value per share / R4.17

Market value per share = 2.60 x R4.17 = R10.83 per share

Therefore, the company's market price per share is R10.83.

Answer:

11.28m

Step-by-step explanation:

Area = πr^2

Area = 400 = πr^2

r =sqrt ([tex]\frac{400}{\pi }[/tex]) = 11.28

r = 11.28m

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

The probability that a randomly selected subject tested negative or did not use marijuana is 0.589.

Step-by-step explanation:

Answer: 1/3, proper, 1 1/3, not proper.