Pls pla pls help me with my math

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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Answer:

Step-by-step explanation:

81 = 9 * 9 = 3 * 3 * 3 *3

8 = 2 * 2 * 2 *2

\(\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}\)

Answer:

y=3.5x+9

and

y=x

Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

Answer:

Hope this helps

Step-by-step explanation:

Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.

Answer:

-42

Step-by-step explanation:

Assuming you want the dot product,

(8)(-6)+(2)(3)= -42

Answer:

Step-by-step explanation:

Answer:

1296 + -442 = 854

Step-by-step explanation:

If

1296 - 854 + 442

then

1296 + -442 = 854

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

Answer:

5 capsules

Step-by-step explanation:

A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

Step 1

We convert the capsules form grams to milligrams

1 gram = 1000 milligrams

0.250grams = x

Cross Multiply

x = 0.250 × 1000 milligrams

x = 250 mg

Hence, 1 capsule = 250 mg

How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg

The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

The child weighs 69 pounds

1 pound = 0.453592 kg

69 pounds = x kg

Cross Multiply

x kg = 69 × 0.453592kg

x kg = 31.297848kg

Hence,

1 kg= 40.0 mg

31.297848 kg = x

x = 31.297848 × 40.0mg

x = 1251.91392mg

Therefore, the child would take 1251.91392 mg

From the first calculation we know that:

1 capsule = 250 mg

250mg = 1 capsule

1251.91392 mg = x capsules

250mg × x = 1251.91392 mg × 1 capsule

x = 1251.91392 mg/250mg

x = 5.00765568 capsules

Approximately = 5 capsules

Hence, a child that weighs 69 pounds takes 5 capsules of keflex

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

a) The estimate of the proportion of defectives when the process is in control is 0.054

b) The standard error of the proportion if the sample size is 100 is 0.0226.

c) The upper control limit is 0.1218 and the lower control limit is 0 (since LCL < 0 and p > 0, we can write LCL = 0).

1) The estimate of the proportion of success is

p = (number of success)/(total number of samples)

I.e., p = x/N

2) The standard deviation of the proportion of success is

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

3) The upper and lower control limits for a control chart are:

L.C.L = p - 3\(\sigma_p\)

and U.C.L = p + 3\(\sigma_p\)

It is given that, there are 25 samples of 100 items each.

So, the total number of items i.e., the total sample size,

N = 25 × 100 = 2500

In 25 samples, a total of 135 items were found to be defective.

So, the number of defectives x = 135

a) The estimate of the proportion of defectives is p = x/N

On substituting, we get

p = 135/2500 = 0.054

b) The standard error of the proportion if the sample of size 100 is calculated by

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

On substituting p = 0.054 and  n = 100, we get

\(\sigma_p = \sqrt{\frac{0.054(1-0.54)}{100} }\)

    = 0.0226

c) The control limits for the control chart are:

Upper control limit =  p + 3\(\sigma_p\)

⇒ U.C.L = 0.054 + 3(0.0226) = 0.054 + 0.0678 = 0.1218

Lower control limit = p - 3\(\sigma_p\)

⇒ L.C.L = 0.054 - 3(0.0226) = 0.054 - 0.0678 = - 0.0138 ≈ 0

(Since we know that the lower control limit should not be a negative value, it is made equal to 0).

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The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 1/3).

And, The slope of the line is,

⇒ m = 3/4

Now,

Since, The equation of line passes through the point (4, 1/3).

And, Slope of the line is,

m = 3/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4x - 3

⇒ y = 3/4x - 3 + 1/3

⇒ y = 3/4x - 8/3

Therefore, The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.

En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.

Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:

I = (1 + r / 36500)ⁿ

Donde:

La situación es descrita por la siguiente expresión matemática:

1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵

Donde R es la tasa efectiva de interés anual.

Finalmente, despejamos la variable correspondiente:

R = 21,375

La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.

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Answer:

x= 3√126 /3

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

f f f f f f+f = fffffff

Soooo, ONLY A gives us 7f when added together again.

f+5f+f=7f.

f+ f f f f f +f = fffffff

Answer:

\(f + 5f + f\) is equivalent to \(6f + f\).

Step-by-step explanation:

You can plug in any numbers to both expressions and they will always have the same outcome.

For example, let's plug in 2.

\(6f + f\\6(2) + 2\\12 + 2 = 14\)

\(f + 5f + f\\2 + 5(2) + 2\\2+10+2 = 14\)

Hope this helps! :)

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:

0.2 × 56

= $11.6

Therefore the waiter was tipped $11.6

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Answer:

A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.

Evaluate the expression 0.20d for d=56.

0.20d

=

0.20(56)

=

11.2

The family tipped the waiter $11.20.

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

$5.99 per can of gas

Step-by-step explanation:

$23.96 divided by 4 = $5.99

This means that each can of gas is $5.99.

Answer:

$95.84

Step-by-step explanation:

Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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