nathan can paint a room in about 10 hours. when nathan and crystal work together, they can paint the same room in 6 hours. how long will it take crystal to paint the same room if she works by herself?

The equation of the line perpendicular to y = -²/₃x + 5 and passing through the point (6, -7) is; y = ³/₂x - 16

We want to find the equation of the line perpendicular to y = -²/₃x + 5 and passing through the point (6, -7).

Now, the slope that is perpendicular to that line is;

m = -1/(-²/₃) = 3/2

Thus;

Equation of the new line is;

y - (-7) = 3/2(x - 6)

y + 7 = 3x/2 - 9

y = ³/₂x - 16

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Answer:

g(x) = \(12.(\frac{3}{4})^x\)

Step-by-step explanation:

Exponential function g has been represented by the table attached,

Equation of the exponential function is,

g(x) = \(a.(b)^x\)

Now we substitute the values of x and g(x) from the table,

For a point (0, 12),

12 = \(a(b)^0\)

a = 12

For another point (1, 9),

9 = \(a.(b)^1\)

9 = a × b

9 = 12 × b

b = \(\frac{9}{12}\)

b = \(\frac{3}{4}\)

Therefore, equation of the exponential function will be,

g(x) = \(12.(\frac{3}{4})^x\)

Answer:

2/5

Step-by-step explanation:

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction. For example, to convert 40% to a fraction, we divide 40 by 100 to get 0.4 and then simplify the fraction 2/5. Therefore, 40% is equal to 2/5.

answer:

creo que la respuesta es 32 690909/2000000

step-by-step explanation:

**los pasos están en la imagen**

buena suerte :)

espero que esto ayude

**por favor avíseme si esto es incorrecto / no es lo que estaba buscando o ambos**

que tenga un lindo día!

Answer:

y = \(\frac{-3}{2}\) x + 4

Step-by-step explanation:

3x + 2y = 8  Subtract 3x from both sides

3x - 3x + 2y = -3x + 8  

2y = -3x + 8  Divide all the way through by 2

y = \(\frac{-3}{2}\) x + 4

Given:

Rita covered 1 mile in 15 minutes.

She covered 3 miles in 30 minutes.

To find:

The rate at which she is riding.

Solution:

Let y be the number of miles covered in x minutes.

Rita covered 1 mile in 15 minutes. So, the point is (15,1).

She covered 3 miles in 30 minutes. So, the point is (30,3).

Slope of the line:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{3-1}{30-15}\)

\(m=\dfrac{2}{15}\)

Therefore, she is riding \(\dfrac{2}{15}\) miles per minute.

The equation of the temperature at midnight is written as 3y + 5 = -7

The temperature at the midnight is calculated to be -4 degrees

The equation for the temperature at midnight is following the information given in the problem tripled and increased by 5

Assuming the temperature at midnight is y. For the temperature to triple we have

3y

For the temperature to rise 5 degrees will result to

3y + 5 = -7

solving for y

3y + 5 = -7

3y = -7 - 5

3y = -12

y = -4

At midnight the temperature was -4 degrees

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Answer:

yep your correct!

Step-by-step explanation:

i did 5(-2) -4

which is -10 -4

and that will equal -14!

hope this helps u!

Answer:

-14

Step-by-step explanation:

because if x is -2 we have y=5.(-2)-4 and that's y=-10-4 and that's y=-14

Answer:

150,000

Step-by-step explanation:

Hope this helps!!

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

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The general solution to the differential equation is:

y = C x exp(2x² + x)

Where C is the constant of integration.

The given differential equation is

dy/dx = y/x + 4x + 1

By using the separation of variables,

Which involves separating the y and x terms on opposite sides of the equation and then integrating both sides.

So we have:

dy/dx = y/x + 4x + 1

dy/y = (1/x + 4x + 1)dx

Now we can integrate both sides:

∫ dy/y = ∫ (1/x + 4x + 1)dx

ln|y| = ln|x| + 2x² + x + C

Where C is the constant of integration.

Now we can solve for y by exponentiating both sides:

|y| = exp(ln|x| + 2x² + x + C)

|y| = exp(ln|x|) exp(2x² + x + C)

|y| = |x| exp(2x² + x + C)

y = ± x exp(2x² + x + C)

So the general solution to the differential equation is:

y = C x exp(2x² + x)

Where C is the constant of integration.

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The complete question is attached below:

Answer:

54 cubic feet

Step-by-step explanation:

V = (1/3)(base)(height)

V = (1/3)(27)(6) = 54 cubic feet

Answer:

3, 4, and 5 by 8.

Step-by-step explanation:

I created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triples 3, 4, and 5 by 8.

Answer:

Step-by-step explanation:2

Step-by-step explanation:

y=mx+b (m is the slope, b is the y-intercept)

To come with sope choose two points from the graph (6,20), (4,30)

Then

m=(Y2-Y1)/(X2-X1) =(4-6)/(30-20)=-1/5

b= 50 (y-intercept)

SO    y=-1/5x-50

I hope this helps

y = -5x + 50

y-intercept is 50, slope is -5

Answer:

no it is(7,2)

Step-by-step explanation:

Answer: Step 2 : Additive

              Step 4 : Multiplicative

Step-by-step explanation:

Also, if you could hook me up into Passione, that'd be cool

Answer: grid #1 and grid #3

Step-by-step explanation:

grid 3 is 100% out of 100% making one whole and grid 1 has 40 out of 100 squares filled. 100 + 40 = 140/140%

a) To determine the items that are frequent when the support threshold is 5, we compare the count of each item with the threshold. Items with counts greater than or equal to 5 are considered frequent items. In this case, we have a transactional dataset where each basket contains all the integers that divide b without any remainder. Therefore, the count of each item can be calculated based on the number of baskets that contain it. Since item 1 is present in all baskets, its count is equal to the total number of baskets, which is 100.

b) When the support threshold is 5, the pairs of items that are considered frequent are known as frequent item pairs. The process involves using the concept of self-join to generate candidate pairs and then pruning those candidates that do not meet the support threshold. This algorithm allows us to discover the frequent item pairs in the dataset.

Exercise 6.1.1:

For this transactional dataset, the sum of the sizes of all the baskets is calculated as follows:

Sum = 100 + 50 + 33 + 25 + 20 + 16 + 14 + 12 + 11 + 10 = 3401

Exercise 6.1.2:

In the item-basket data from Exercise 6.1.1, the largest basket is basket 1, as it contains all 100 items.

Exercise 6.1.3:

Suppose we have 100 items numbered from 1 to 100, and 100 baskets also numbered from 1 to 100. In this case, item i is considered to be in basket b if and only if b divides i without any remainder. For example, basket 12 consists of items {12, 24, 36, 48, 60, 72, 84, 96}. To repeat Exercise 6.1.1 for this data, we would need to calculate the frequent items based on the support threshold of 5.

a) If the support threshold is 5, we determine the frequent items by comparing the count of each item with the threshold. Items with counts greater than or equal to 5 are considered frequent.

b) If the support threshold is 5, we identify the frequent item pairs by using the self-join technique to generate candidate pairs and then pruning those candidates that do not meet the support threshold. This process allows us to discover the frequent item pairs in the dataset.

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The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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Answer:

Guava has the most, Nelli juice has second most, Mango juice has third most Papaw juice has 4th most, Woodaple has the least

Step-by-step explanation:

Answer:

From smallest portion to biggest

Wood apple juice,

Papaw juice,

Mango juice,

Nelli Juice

Step-by-step explanation:

By looking at this graph we cam tell Guava juice has the most since it has the biggest section.

Now we can tell Wood apple juice isn't a popular option because it has the smallest section

Now to fill in the gaps, Papaw juice has the second least amount, then Nelli has third least amount, and and Guava Juice has the most.

Answer: A. An infinite number of diameters can be drawn in a circle.

Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Step-by-step explanation:

video and I will be done with and decor is he

a. The population of interest to the researcher is the set of all simulation trials for the new generation of airplanes' control panel designs.

b. The variable of interest to the researcher is the pilot response time, which is a continuous variable.

c. To select a simple random sample of 40 simulations from the 400 trials, the researchers can use the sample() function in R with the size parameter set to 40.

a. The population of interest to the researcher consists of all simulation trials for the new generation of airplanes' control panel designs. This includes the trials conducted with the current design as well as the three new designs. The goal is to compare the mean response times of the different designs.

b. The variable of interest to the researcher is the pilot response time. This variable represents the time taken by pilots to respond to simulated emergency conditions. Since response time is measured on a continuous scale, it is considered a continuous variable.

c. To select a simple random sample of 40 simulations from the 400 trials, the researchers can use the sample() function in R. The sample() function randomly selects observations from a given dataset without replacement. In this case, the dataset consists of the 400 simulations. The researchers can use the following R command to select a simple random sample of 40 simulations:

R Code:

set.seed(123)  # Set a seed for reproducibility

sample_40 <- sample(1:400, 40)

This command will generate a vector sample_40 containing 40 randomly chosen numbers between 1 and 400, representing the indices of the selected simulations.

d. If the researchers want to ensure that the 40 simulations examined in detail include 10 simulations from each of the four different designs, they can use a stratified random sampling approach. They can divide the 400 simulations into four strata based on the design type and then select a proportional number of simulations from each stratum. Assuming there were 250 simulations of the current design and 50 simulations from each of the three new designs, the researchers can use the following R command to implement this sampling procedure:

R Code:

set.seed(123)  # Set a seed for reproducibility

sample_40 <- c(sample(1:250, 10), sample(251:300, 10), sample(301:350, 10), sample(351:400, 10))

This command will generate a vector sample_40 containing 10 randomly chosen simulations from each of the four design categories, resulting in a representative random sample of size 40.

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Answer:

0.015

Step-by-step explanation:

Answer:

15,000

Step-by-step explanation:

Answer:

put the yes in the second box, fourth box, and fifth box.

Step-by-step explanation:

trust me, your welcome

a) The pumpkin thrown downward from a five-story building (15 meters high) results in the messiest impact (highest velocity impact).

b) The second pumpkin will hit the ground at the same velocity as the first pumpkin, regardless of the direction of throw.

c) Throwing the pumpkin downwards results in a higher velocity impact because the gravitational force of the Earth adds to the initial velocity.

The velocity of the pumpkin is directly proportional to the height of the building from where it is thrown. Thus, the pumpkin thrown from a five-story building has a higher velocity than that thrown from a shorter building. To get the messiest impact, the pumpkin must be thrown downward, and not upward. This is because the gravitational force of the Earth adds to the initial velocity, making the pumpkin hit the ground with a higher velocity. The velocity at which the second pumpkin hits the ground will be the same, regardless of the direction of throw. This is because the initial velocity of the pumpkin is the same in both cases, and the force of gravity acting on it is also the same.

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Answer:

x =285

Step-by-step explanation:

Solve for x

x/19 = 15

Multiply each side by 19

x/19 * 19 = 15 * 19

x =285

Answer:

x = 285

Step-by-step explanation:

\( \sf \frac{x}{19} = 15 \\ \sf \frac{x}{19} = \frac{15}{1} \)

Use cross multiplication.

\( \sf \: x \times 1 = 15 \times 19 \\ \sf x = 285 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)