In a circle, an angle measuring 2π radians intercepts an arc of length 16π. Find the radius of the circle in simplest form.

Answer: 100 = 10d + 5

Step-by-step explanation:

Dolls are sold for $10 each so when checking the total amount made from the sale of d dolls you will multiply d by the price of each doll:

= 10 * d

= 10d

There is a $5 charge for shipping but this is one time so it is added to the total price of d dolls:

= 10d + 5

The total made was $100 so the equation above should equal $100:

100 = 10d + 5

To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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Answer:

B)b=9

C)7+19=26

are the equations

Answer:

b and c

Step-by-step explanation:

there are equations because they have the equal sign, in simple terms

The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.

We have,

To find the value of resistor R4, we can use Ohm's Law and the formula for calculating the total resistance in a series circuit.

In a series circuit, the total resistance (R_total) is the sum of the individual resistances:

R_total = R1 + R2 + R3 + R4

We are given that a voltage of 50 V is applied and a current of 100 A flows through the circuit.

Using Ohm's Law (V = I * R), we can calculate the individual voltage drops across each resistor:

V1 = I x R1

V2 = I x R2

V3 = I x R3

V4 = I x R4

Since the voltage across each resistor is equal to the total applied voltage (50 V), we can write the following equations:

V1 + V2 + V3 + V4 = 50

Substituting the voltage values using Ohm's Law:

(I x R1) + (I x R2) + (I x R3) + (I x R4) = 50

Simplifying the equation:

I x (R1 + R2 + R3 + R4) = 50

Substituting the given values for the current (I = 100 A) and resistors R1, R2, and R3:

100 x (R1 + R2 + R3 + R4) = 50

Solving for R4:

R1 + R2 + R3 + R4 = 50/100

R4 = 0.5 - (R1 + R2 + R3)

Therefore,

The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.

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The equation that represents the maximum area enclosed by the fence is 600x - 2x².

What is the maximum area?

Any rectangle's maximal surface area requires a minimum length-to-breadth ratio. Hence, in this scenario, the length must equal the ceiling (perimeter / 4) and the width, of the floor (perimeter /4). Therefore a rectangle with a given perimeter has a maximum area equal to the ceiling(perimeter/4) and the floor(perimeter/4)

Here, we have

Given: A rectangular field bordering a river is to be enclosed with 600 m of fencing. No fence is needed along the riverbank.

We have to find the equation that represents the maximum area enclosed by the fence.

The sum of the sides NOT along the river x + x + y = 600,  and the area equals xy.

This makes the two equations:    2x + y = 600,   and A = xy.

To find the largest area, we need to find A as a function of x or y.  I suggest solving the first equation for y and replacing that in the second equation.

y = 600 - 2x.    and A(x) = x(600-2x)

We now need to maximize A(x) = 600x - 2x²

Hence, the equation that represents the maximum area enclosed by the fence is 600x - 2x².

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Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

Answer:

its 17. so B

Step-by-step explanation:

just did it

Answer:

The answer is ■■■■■■■■■■■□□□  NOWLOADING

Step-by-step explanation:

Hope this helps <3

Answer:

The answer is ■■■■■■■■■■■□□□ NOWLOADING

Step-by-step explanation:

Refresh a couple of times <33

High reliability is a term used in scientific research that describes measures that are consistent, valid, and trustworthy. Reliable measures are crucial in any discipline where research is conducted, including psychology. It is important to have reliable measures because researchers want their results to be consistent and replicable.

There are three principles that result in high reliability: large sample sizes, less-variable observations, and numerous cases. A large sample size is necessary to ensure research results are consistent and more representative of the population. In addition, less-variable observations are needed to avoid extraneous variables that could influence observations and lead to inconsistencies over time. Researchers can create controlled settings to eliminate extraneous variables, and by doing so, develop more reliable measures.

Finally, researchers must test the same theory or hypothesis on many cases. By doing so, researchers can observe whether their hypothesis is valid across a large number of cases. This is important because observing many cases allows researchers to generalize their findings to the population. These three principles combined contribute to the development of more reliable measures, resulting in high reliability.

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Answer:

Vertex: (-3, -5)

Axis of Symmetry: x = -3

Step-by-step explanation:

Heres the sketch:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Answer: B

Step-by-step explanation:

4.2 / 0.25 = 21

0.4 · 21 = 8.4

8.4 + 2.5 = 10.9

Yes ordered pair (-4,5 ) is a solution to this linear equation

What is linear equation?

If an equation is expressed as axe + by + c=0, where a, b, and c are real integers and x and y's coefficients, it is said to be a linear equation in two variables.

Main body:

According to question:

y = -2x-3

point = (-4,5)

so as to find whether this point satisfies the equation or not, we need to put the value of any variable and check whether other value holds true or not.

Now substituting x= -4 in the given equation

⇒ y = -2(-4) -3

⇒y 8-3

⇒y= 5

which is given in the ordered pair

hence (-4,5) are a solution to this equation.

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If the experiment uses a sample of university students, it would likely not have a  a. external validity.

External validity refers to the extent to which the findings from a study can be generalized to a larger population or real-world settings.

If an experiment uses a sample of graduate college students to study how consumers choose life insurance policies,

It is likely that the findings may not accurately represent the broader population of consumers.

Graduate college students may have different characteristics, preferences,

And decision-making processes compared to the general population when it comes to life insurance policies.

Laboratory validity (b), internal validity (c), and extraneous validity (d) are not relevant to the issue of representativeness of the sample.

Laboratory validity refers to the extent to which the experimental conditions accurately represent real-world situations.

Internal validity refers to the extent to which the experiment allows for causal inferences within the study itself.

Extraneous validity is not a recognized term in experimental design.

Therefore, the correct answer for an experiment uses a sample of university students is a. external validity.

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The above question is incomplete, the complete question is:

an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have a. external validity b. laboratory validity c. internal validity d. extraneous validity e. it would have all of these

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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Three segments a, b, and c using net sales as the basis for allocation is = $475,000.

Based on the given conditions,

Three segments are a , b , c

The segment a of trump enterprises have net sales = $300,000

The segment b of trump enterprises have net sales = $150,000

The segment c of trump enterprises have net sales = $50,000

a net sales + b net sales + c net sales = $300,000 + $150,000 + $50,000

= $500,000

If the unit is eliminated, then the a net sales and b net sales will be gone, but the c net sales will be allocated to other business units.

So instead of losing $500,000,

A decision is made to allocate the pool = $25,000

The company's net sales as the basis for allocation by $500,000 - $25,000 = $475,000

Therefore,

Three segments a, b, and c using net sales as the basis for allocation is =

$475,000.

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Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

\(\dfrac{35}{100}\times 150=52.5\)

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

\(\dfrac{113}{100}\times 55=62.15\)

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

The  Bernoulli equation of given differential equation Xdydx + y = 1y² is ln (1 - x/y - x) = c

Any equation with one or more derivates and one or more terms of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

-1/y = u

y¹/y² = u¹

xy¹ - (1 + x)y = xy²

now take the y² on other side,

xy¹/y² - (1 + x)/y = c

now replace the values by u¹,

xu¹ + (1 + x)u = x

xu¹ + u + ux = x

xu = s      ....[1]

Substitute the value of xu as s

u + xu¹ = s¹

s¹ + s = v

s - x  = t

s¹ - 1 = t¹

t¹ + 1 + t = 0

Now take the integration of both the sides,

dt/dx = - ( 1 + t)

-∫ dt/1+t =  ∫dx

-ln ( 1+ t ) = x + c

now ,put the value of t,

-in ( 1 + s - x ) = x + c

now put the value of s,

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c.

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The simplified expression is 4x∛2y + 12x²y∛2y².

We have the Expression

2(∛16x³y)+ 4 (∛54x⁶y⁵)

Now, factorise as

16 = 2 x 2 x 2 x 2

54 = 2 x 3 x 3 x 3

So, we can write

∛16x³y = ∛2× 2 × 2 × 2 × x × x × x × y

∛54x⁶y⁵ = ∛ 2 x 3 x 3 x 3 × x × x × x × x × x × x × y × y × y × y × y

Then, 2(∛16x³y)+ 4 (∛54x⁶y⁵)

= 2(∛2× 2 × 2 × 2 × x × x × x × y) + 4 (∛ 2 x 3 x 3 x 3 × x × x × x × x × x × x × y × y × y × y × y)

= 2 (2x)  (∛2y) + 4 (3x²y) (∛2y²)

= 4x∛2y + 12x²y∛2y²

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The values rewritten into an equivalent form as fractions include the following:

In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

For instance, 5 by 8 should be read as "five eighths" and it simply means that five (5) parts out of eight (8) equal parts in which the whole part is divided.

Similarly, -3 by 2 should be read as "negative three halves" and it simply means that two (2) parts out of negative three (3) equal parts in which the whole part is divided. Additionally, the number 3 represents the numerator while the number 2 represents the denominator.

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Answer:

6.4 - 0.4y

Step-by-step explanation:

Answer:

6.4-0.4y

Step-by-step explanation:

First you subtract 2.5 from 8.9. Then you subtract 4 from 3.6. Hope that is the correct answer.

Answer:

2. I think. Sorry if its wrong. Have a beautiful day! :)

Step-by-step explanation:

Answer:

C.20

Step-by-step explanation:

Hence, option (C) is correct i.e., the percent change was \(20\)%.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of \(100\). It is often denoted using the percent sign, "%".

Here given that,

The attendance at a seminar in year one was \(500\). In Year two, the attendance changed by \(100\).

So,

\(\frac{100}{500}\) ×\(100=20%\) %

Hence, option (C) is correct i.e., the percent change was \(20\)%.

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The matrix Cc of the linear transformation \(T(x) = b(a(x))\) is:

Cc = [4 12 36 0

2 6 18 0

5 15 45 0

2 6 18 0]

To find the matrix Cc of the linear transformation\(T(x) = b(a(x))\), we need to perform matrix multiplication.

Given:

a = [0 1 3 9]

b = [8 4 5 2]

First, we need to compute the matrix product b(a(x)):

\(a(x) = [0 1 3 9] * [x₁ x₂ x₃ x₄]^T\)

\(= [0x₁ + 1x₂ + 3x₃ + 9x₄]\)

\(b(a(x)) = [8 4 5 2] * [0x₁ + 1x₂ + 3x₃ + 9x₄]^T\)

=\([8*(0x₁ + 1x₂ + 3x₃ + 9x₄) 4*(0x₁ + 1x₂ + 3x₃ + 9x₄)\)

\(5*(0x₁ + 1x₂ + 3x₃ + 9x₄) 2*(0x₁ + 1x₂ + 3x₃ + 9x₄)]\)

Simplifying the expression, we get:

\(b(a(x)) = [4x₂ + 12x₃ + 36x₄ 2x₂ + 6x₃ + 18x₄\)

\(5x₂ + 15x₃ + 45x₄ 2x₂ + 6x₃ + 18x₄]\)

Therefore, the matrix Cc of the linear transformation\(T(x) = b(a(x))\) is:

Cc = [4 12 36 0

2 6 18 0

5 15 45 0

2 6 18 0]

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Answer:

12 - 12 a

Step-by-step explanation:

Answer:

4x+6y = 46

Step-by-step explanation:

you just add by column

2x+2x

y+5y

9+37

Answer: The x -intercept is (8,0) .

Step-by-step explanation:

Answer:

8y lol I think I'm not sure