13.
Given: WX=ZX, WY = ZY
prove: angle W = angle Z

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

Answer:

A trig wave with average height 0 has the form f(t)=Acos(ωt+ϕ). You could also use the sin - it doesn't matter.

A trig wave with average height b has the form f(t)=b+Acos(ωt+ϕ)

The difference between the max and min heights is 2A. In your problem 2A = 55-12 = 42 so that A = 21.5.

The average wave height is b = 12 + A = 33.5

The time period of the wave is 3, so that its frequency (waves per second) is f = 1/3. Its angular frequency ω (waves per 2π) is 2πf=2π/3.

your wave is now f(t)=33.5+21.5cos(2πt/3+ϕ)

When t = 1.1 the max height is reached so that 55=33.5+21.5cos(2π(1.1)/3+ϕ). Then 1=cos(2π(1.1)/3+ϕ) which in turn means that 2π(1.1)/3+ϕ=0 and solving gives ϕ.

Key Points. One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius. of the circle. A full revolution of a circle (360∘ ) equals 2π radians 2 π r a d i a n s . This means that 1 radian=180∘π 1 radian = 180 ∘ π

Hope it helps

A description of the distribution of the values of a random variable and their associated probabilities is called a probability distribution. The correct answer is a.

A probability distribution is a mathematical function that describes the possible values of a random variable and the likelihood of each value occurring. It provides a complete description of the probabilities of all possible outcomes of a random experiment or event.

Probability distributions can be classified into two types: discrete probability distributions and continuous probability distributions. Discrete probability distributions are used when the possible outcomes of a random variable are countable or finite, such as the number of heads in a coin toss.

Continuous probability distributions, on the other hand, are used when the possible outcomes of a random variable are infinite, such as the time it takes for a person to complete a task.

Probability distributions are used in various fields, such as statistics, finance, engineering, and science, to model and analyze random phenomena and make predictions about future events. They are an essential tool for understanding uncertainty and making informed decisions based on probabilistic outcomes.

The correct answer is a.

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Answer:

Yaa!!! you are right option A is your answer

Answer:

The function that represents the average cost in dollars of saleable software CD is given as follows;

f(x) = 500,020/x + 0.10

Step-by-step explanation:

The given parameters are;

The cost of manufacture of each software CD = $0.10

The development cost to produce the CD = $500,000

The number of CDs that are not sold = The first 200 CDs

The total cost of production. 'C', of the the CD is given as follows;

C = $500,000 + $0.10×200  = $500,020

The function, 'f' for the average cost in dollars of a saleable software CD where 'x' is the number of saleable software CDs is given as follows;

f(x) = (C + 0.10·x)/x = C/x + 0.10

∴ f(x) = 500,020/x + 0.10.

The function will have a value of 0 at x = 1. In that case, the variable "k" will have a value of 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

Given f(x) = 3x³ + kx – 5, and the factor of the given function is (x – 1).

If the factor (x – 1) is zero. Then the value of the function will be zero.

x – 1 = 0

x = 1

At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be calculated as,

f(1) = 3(1)³ + k(1) – 5

0 = 3 + k – 5

k = 5 – 3

k = 2

The function's value will be 0 at x = 1. The variable "k" will then have a value of 2.

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No, 1 1 2 3 5 8 is not an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a constant to the previous term.

Thus, the difference between successive terms is the same. In the given sequence, the difference between terms 1 and 2 is 0, between terms 2 and 3 is 1, between terms 3 and 5 is 2, and between terms 5 and 8 is 3. Therefore, the difference between successive terms is not the same and hence, 1 1 2 3 5 8 is not an arithmetic sequence.

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Answer:

I think it's y = 3 and x = 9 so 3/9 I think.

or -3/9 if the ramp goes down

or 3/9 if the ramp goes up

good luck!

Answer:

x=3

Step-by-step explanation:

1/4(12x + 4) - 14= -1/2(8x - 16)

1. Simplify each side my multiplying

3x - 13 = -4x + 8

2. Add 13 on each side

3x = -4x + 21

3. Add 4x  on each side

7x = 21

x=3

Answer:

49 cm squared. Find the area of all then add.

Answer:

Step-by-step explanation:

Answer:

Equations for each salesman:

When s = 0, s= 1, s = 10 each of the gets paid:

The above numbers as ordered pairs:

The given fraction is:

To rationalize the denominator, multiply numerator and denominator by square root(2) and simplify:

The answer is D.

Step-by-step explanation:

First, you should translate everything into math. So,

"∠B is 2 more than 3 times the measure of ∠C" translates into B = 3C + 2....(1)

"...∠B and ∠C are complementary angles" translates to B + C = 90...............(2)

Now, all that's left to do is to solve for B and C. So, we'll take equation (1) and substitute it into equation (2) as follows:

(3C + 2) + C = 90

4C + 2 = 90

4C = 88

C = 22

Plugging C = 22 back into either equation (1) or (2) gives us

B = 90 - 22 = 68 (or B = 3(22) + 2 = 68)

Thus, ∠B = 68º; ∠C = 22º

hope this helps

Answer:

69

Step-by-step explanation:

3.3x21=69.3

Answer:

We can use trigonometry to solve this problem. Let's call the distance from the building to the fire truck "x". Then we can use the tangent function to find the height of the building:

tan(75) = height/x

We know that the maximum height the ladder can reach is 39 meters, so we can set up an equation:

height = 39

39/x = tan(75)

Now we can solve for x:

x = 39/tan(75)

Using a calculator, we get:

x ≈ 12.4 meters

So the fire truck must park about 12.4 meters away from the building in order to safely extend the ladder to its maximum length.

Answer:

The Sun has 1.0975 x 10^2  times the diameter of Earth

Step-by-step explanation:

Diameter of Sun = 1.4 x 10^9 m

Diameter of Earth = 1.2756 x 10^7 m

ratio between Diameter of Sun and Earth :-

Diameter of Sun/Diameter of Earth = 1.4 x 10^9/ 1.2756 x 10^7

= 1.0975 x 10^2

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

We have,

To determine when and how large of an order should be placed to meet the demand requirement of 500 units of Item X at the start of Week 5, we need to consider the lead time and the planned receipts.

Given:

Demand requirement: 500 units at the start of Week 5

Lead time: 3 weeks

Planned receipts: 120 units in Week 1, 120 units in Week 3, and 100 units in Week 4

We can calculate the available inventory at the start of Week 5 by considering the planned receipts and deducting the units used during the lead time:

Available inventory at the start of Week 5

= Planned receipts in Week 1 + Planned receipts in Week 3 + Planned receipts in Week 4 - Units used during the lead time

Available inventory at the start of Week 5 = 120 + 120 + 100 - 500 = -160

The available inventory is negative, indicating a shortage of 160 units at the start of Week 5.

To meet the demand requirement, an order should be placed. Since the lead time is 3 weeks, the order should be placed 3 weeks before the start of Week 5, which is at the start of Week 2.

The order quantity should be the difference between the demand requirement and the available inventory, considering the shortage:

Order quantity = Demand requirement - Available inventory

= 500 - (-160)

= 660 units

Therefore,

An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

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Answer:

-20x + 8y

Step-by-step explanation:

- 8x -3(4x-y)+7y

First distribute,

-3(4x)= -12x

-3(-y)= y

so then that would be -8x -12x +y+7y

Next,

Combine like terms

-20x+ 8y

:) hope that helped

Answer:

36

Step-by-step explanation:

\(m\angle TSU=36^{\circ}\) using the definition of an isosceles triangle. By CPCTC, \(m\angle USR=36^{\circ}\).

Answer:

1 and 1/4

Step-by-step explanation:

If you multiply 1/4 five times, you will get your answer

we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

What is a conditional statement?

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

The code segment in question uses variables and conditional statements to determine the maximum value among three integer variables x, y, and z. However, there are cases where this code segment may not work as intended.

To determine which initial values for x, y, and z will cause this issue, we need to look at the code segment itself.

The code segment likely involves setting a variable called "max" to the value of one of the three variables (x, y, or z), and then using conditional statements to check if the other variables are larger than the current value of "max".

If they are, the value of "max" is updated to that variable.

To determine which initial values will cause issues, we need to consider cases where the conditional statements will not work as intended.

For example, if all three variables have the same value, the code segment may not correctly identify the maximum value.

Similarly, if two variables have the same value, but that value is smaller than the third variable, the code segment may not correctly identify the maximum value.

Based on the answer choices provided, it appears that the code segment may not work as intended for the initial values x = 1, y = 3, z = 2.

In this case, the initial value of "max" would be set to 1, and the conditional statements would not update the value of "max" to the correct maximum value of 3.

In conclusion, the code segment may not work as intended in cases where there are ties or when the initial values are not in order. It is important to test the code segment with different initial values to ensure that it works correctly in all cases.

The code segment in question is intended to set the variable "max" equal to the maximum value among the integer variables x, y, and z.

To demonstrate that the code segment does not work as intended in all cases, we need to evaluate each of the given initial values for x, y, and z.

1. x = 1, y = 2, z = 3: In this case, the maximum value is 3, which corresponds to the variable z.

2. x = 1, y = 3, z = 2: In this case, the maximum value is 3, which corresponds to the variable y.

3. x = 2, y = 3, z = 1: In this case, the maximum value is 3, which corresponds to the variable y.

4. x = 3, y = 2, z = 1: In this case, the maximum value is 3, which corresponds to the variable x.

Since we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

However, you can test each case by implementing the code segment, assigning the initial values to the variables x, y, and z, and then checking if the variable "max" is set to the correct maximum value.

If any of the cases result in an incorrect "max" value, it means that the code segment does not work as intended for that particular set of initial values.

Hence, we do not have the code segment, we cannot identify which of the cases above will cause the code segment to not work as intended.

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Answer:

33 square meters per hour

Step-by-step explanation:

According to the Question, the volume of the solid is \(\frac{1}{5}.\)

The following surfaces surround the given solid:

y = x²x = y²z = xy³z = 0

To find the volume of the solid, we need to integrate the volume element:

\(dV=dxdydz\)

Let's solve the equations one by one to set the limits of integration:

First, solving for y = x², we get x = ±√y.

So, the limit of integration of x is √y to -√y.

Secondly, solving for x = y², we get y = ±√x.

So, the limit of integration of y is √x to -√x.

Thirdly, z = xy³ is a simple equation that will not affect the limits of integration.

Finally, z = 0 is just the xy plane.

So, the limit of integration of z is from 0 to xy³

Now, integrating the volume element, we have:

\(V=\int\int\int dxdydz\)

Where the limits of integration are:x: √y to -√yy: √x to -√xz: 0 to xy³

So, the volume of the solid is given by:

\(V=\int_{-1}^{1}\int_{-y^{2}}^{y^{2}}\int_{0}^{xy^{3}}dxdydz\)

Therefore, we get

\(\displaystyle \begin{aligned}V &=\int_{-1}^{1}\int_{-y^{2}}^{y^{2}}\left[ x \right]_{0}^{y^{3}}dydz \\&= \int_{-1}^{1}\int_{-y^{2}}^{y^{2}}y^{3}dydz \\&=\int_{-1}^{1}\left[ \frac{y^{4}}{4} \right]_{-y^{2}}^{y^{2}}dz \\&= \int_{-1}^{1}\frac{1}{2}y^{4}dz \\&= \frac{1}{5} \end{aligned}\)

Therefore, the volume of the solid is \(\frac{1}{5}.\)

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Answer:

378

Step-by-step explanation:

C(x)=63*6=378

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

( x - 5 )^2 + ( y +4 )^2 = 9

Step-by-step explanation:

( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

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