Nikki is going to use SSS to prove that PQR SQR.

Which of these is a necessary step in Nikki's proof?

A.
Prove that PQR SQR by vertical angles.

B.
Prove that PQ QR by CPCTC.

C.
Prove that QR QR by the reflexive property.

D.
Prove that QPR QSR by the transitive property.

Mila's monthly mortgage payment would be approximately $4,658.99.

In finance, interest refers to the cost of borrowing money or the return earned on an investment. It is usually expressed as a percentage of the amount borrowed or invested and is typically calculated on an annual basis.

For borrowing money, interest is the cost that the borrower has to pay to the lender for the privilege of using their funds. The lender earns interest on the loan as compensation for lending their money to the borrower. The interest rate on a loan is determined by a variety of factors, including the borrower's creditworthiness, the term of the loan, and prevailing market conditions.

For investments, interest is the return earned by an investor on their principal amount. For example, when someone deposits money in a savings account, they earn interest on that money. The interest rate on savings accounts and other investments is typically determined by the prevailing market conditions and the financial institution offering the investment.

Interest can be calculated in different ways, including simple interest and compound interest. Simple interest is calculated on the original principal amount, while compound interest is calculated on the principal amount plus any accumulated interest. The frequency at which interest is compounded, such as monthly or annually, can have a significant impact on the total amount of interest earned or paid.

Overall, interest plays a critical role in finance and can have a significant impact on the cost of borrowing money or the return earned on an investment.

To calculate Mila's monthly mortgage payment, we can use the formula for a fixed-rate mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

where:

M = monthly mortgage payment

P = loan amount

r = monthly interest rate

n = number of payments (total number of years * 12)

Plugging in the given values, we get:

M = 730000 * (0.00325 * (1 + 0.00325)^(2012)) / ((1 + 0.00325)^(2012) - 1)

Simplifying this expression using a calculator, we get:

M ≈ $4,658.99

Therefore, Mila's monthly mortgage payment would be approximately $4,658.99.

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The expression representing a perfect square trinomial is given as follows:

y² - 15y + 56.25.

There are two formats of perfect square trinomial, given as follows:

For this problem, we have a subtraction sign, meaning that the value of a is obtained as follows:

2ay = 15y

2a = 15

a = 15/2

a = 7.5.

Then the square of a is given as follows:

a² = 7.5²

a² = 56.25.

Meaning that the expression is given as follows:

y² - 15y + 56.25.

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Answer:

your answer is explained below

Step-by-step explanation:

To find the proportion of cities with a vacancy rate of more than 9%, we need to add the relative frequencies for the classes with vacancy rates greater than 9%. These classes are 9 < x ≤ 12 and 12 < x ≤ 15.

Proportion of cities with a vacancy rate of more than 9%:

= Relative frequency for 9 < x ≤ 12 + Relative frequency for 12 < x ≤ 15

= 0.24 + 0.42

= 0.66

Therefore, 66% of the cities had a vacancy rate of more than 9%.

Rounding this answer to two decimal places, we get 0.66 as the final answer.

Option C is correct, the volume of the tank is 353 cubic feet.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a cylindrical tank is given by the formula:

V = πr²h

where r is the radius of the tank and h is its height.

We know that the tank has a circumference of approximately 31.4 feet, which means:

2πr = 31.4

Dividing both sides by 2π, we get:

r = 31.4/(2π) ≈ 5

So, the radius of the tank is approximately 5 feet.

By given height of the tank is 4.5 feet.

Substituting these values into the formula for the volume of a cylinder, we get:

V = π(5)²(4.5) = 353.4

Therefore, the volume of the tank is 353 cubic feet.

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The annual percentage yield for money invested at the rates are:

To solve for the APY in the first question:

APY = [tex](1+ r/n)^n^-^1[/tex]

r= interest rate

n= number of times interest is compounded per year

We put in the values

APY = [tex]( 1 + 0.0441/12)^1^2^-^1[/tex]

APY = 4.5%

To solve for the second one

4.42% compounded quarterly

plug in the values into the formula

[tex](1 + 0.0442)/4^4^-^1[/tex]

APR = 4.49%

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Answer:its 1.4>1.3

Step-by-step explanation:I THINK ITS 1.4>1.3

Answer:

See below

Step-by-step explanation:

The linear function is to be expressed in slope-intercept form:

y = mx + c

where:              

                           m = slope

                               = [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

           Select a pair of x and y coordinates of two points along this graph

e.g (0,1) and (5,0):

                          m = [tex]\frac{(0 - 1)Percent InDecimal}{(5 - 0) hour}[/tex]

                              = [tex]\frac{-1}{5}[/tex]

       ∴ slope = [tex]-\frac{1}{5}[/tex] = [tex]-0.2\frac{PercentInDecimal}{hour}[/tex]

  which means 0.2 × 100%= 20%

∴The slope indicates that the power decreases by 20% per hour

                          c = y-intercept:

   It is the y-value AT which the graph cuts or meets the y-axis. Its corresponding x-coordinate is 0. The y-intercept can be either read directly from the graph or calculated mathematically

       ∴y-intercept = 1

In this scenario, the y-intercept indicates the initial value or the value present in the beginning.
which means 1.0 × 100% = 100%
∴The y-intercept indicates that the battery is at 100% when you turn on the laptop.

∴Linear function relating y to x:

Substituting the values of m and c into the above stated equation:

     [tex]y = -\frac{1}{5}x + 1[/tex]

The x-intercept is the x-value at which the graph crosses or intersects the x-axis. It’s corresponding y-coordinate is zero.

     x-intercept = 5

In this scenario, the x-intercept indicates the point at which the final value is reached or achieved.

∴ The x-intercept indicates that the battery lasts 5 hours.

The battery power is at 75% = [tex]\frac{75}{100}[/tex] = 0.75 (expressed in decimal form. This means y = 0.75, which is to be substituted into the above derived linear function to solve for the corresponding value of x:

[tex]0.75 = -\frac{1}{5}(x) + 1[/tex]

Rearrange the equation to isolate x and make it the subject of the equation:

[tex]\frac{1}{5}x = 1 - 0.75[/tex]

[tex]\frac{1}{5}x = 0.25[/tex]

Cross-multiplication is applied:

[tex](1)(x) = (5)(0.25)[/tex]

x = 1.25 hours

∴The battery power is at 75% after 1.25 hours

Answer:

2.42

Step-by-step explanation:

To find the diameter divide by 3.14 or pi. That equals 2.42038216561 but 2.42 is the rounded answer (if you are rounding to the hundredths place)

Answer:

Step-by-step explanation:

Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by an external force.

If you are standing on separate sheets of paper and start running, your body will experience a forward motion. However, the sheets of paper under your feet will initially resist the motion due to friction. The force of friction will create an equal and opposite force, causing the sheets of paper to slide backwards. As you continue to run, the friction between your feet and the paper will decrease, and the sheets of paper may eventually stop sliding and you will continue running with a constant velocity.

This is an example of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. The force you apply to the ground when running is the action, and the force of the ground pushing back on you is the reaction.

Para dibujar un triángulo con un ángulo de inclinación de 45° realiza dos líneas perpendiculares y una tercera línea con un grado de 45° lo cual puedes hacer usando un transportador.

Un triángulo es una figura con tres lados y cuyos ángulos internos siempre suman 180°. El método más fácil para dibujar un triángulo con un ángulo de 45° es.

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Answer:

Step-by-step explanation:

the APR for this loan is approximately 14.27%.

To find the APR for this loan, we can use the formula:

APR = (2 * n * F) / (P * (n + 1))

where:

n = number of payments (24 in this case)

F = finance charge per $100 financed ($11.45 in this case)

P = amount financed per $100 (which we don't know yet)

We need to solve for P to be able to use the formula. We know that the finance charge is $11.45 for every $100 financed, so we can set up the equation:

11.45 = F / P

where F is the finance charge per $100 financed and P is the amount financed per $100.

Solving for P, we get:

P = F / 11.45

P = 100 * (11.45 / 100)

P = $1,000

So the amount financed is $1,000.

Now we can substitute the values into the APR formula:

APR = (2 * n * F) / (P * (n + 1))

APR = (2 * 24 * 11.45) / (1000 * (24 + 1))

APR = 0.1427 or 14.27%

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I. The correct statement is: m<AOB = m<BOC

The measures of the angles are:

II. m<BOC = 53 degrees.

III. m<AOC = 106 degrees.

When a segment bisects an angle, it forms two equal angles. Therefore, we have following which explains how to find the measure of the given central angle.

I. <AOC is bisected by segment OB into: AOB and BOC, which are equal. Therefore:

m<AOB = m<BOC

II. m<AOB = 53 degrees, therefore,

m<BOC = 53 degrees.

III. m<AOC = 2(53)

m<AOC = 106 degrees.

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Answer:

8.5

Step-by-step explanation:

If you look at a decimal (0.00) there is the tenths, (0.00), hundredths (0.00), and so on.

Rounding to the nearest tenth, would mean first looking at the hundredths place (8.45), and if it is greater or equal to 5, which if it is, you round up, but if it isn't, you round down.

Therefore, 8.45 rounded to the nearest tenth is 8.5.

The proportion of people with IQs above 140 is 2.5% of a mean of 100 and standard deviation of 20.

Comparative magnitude or extent; ratio; the relationship between several entities or components in terms of relative size, number, or degree. the right or ideal relationship between components of a whole; symmetry or balance. If a change in one variable can be expected from a change in the other, two variables are said to be in proportion. For secondary school chemists, there are two separate sorts of proportional relationships: direct proportion and inverse proportion.

When we find the proportion , we obtain:

P(y > 140) = 1 - P(y< 140)

               = 1 - P[(x - α) / β < (140 - 100) / 20]  

               = 1 - P(z < 2)                                  

               = 1 - 0.9772

               = 0.0228

               = 2.5%.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{5} = 2}[/tex]

[tex]\large\textbf{Multiply 5 to both sides:}[/tex]

[tex]\mathsf{\dfrac{x}{5} \times 5= 2\times 5}[/tex]

[tex]\large\textbf{Simplify it:}[/tex]

[tex]\mathsf{x = 2\times 5}[/tex]

[tex]\mathsf{x = 10}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 10}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day\bf !}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

To determine how many yards of fabric Charles has left, we need to subtract the total amount of fabric used for the costume, pillows, and bag from the initial amount of fabric (m yards). The total amount of fabric used is:

Now, we can subtract the total used fabric from the initial amount of fabric:

The correct expressions that show how many yards of fabric Charles has left are:

So, the correct options are (A), (C), (E), (F), (G), and (H).

________________________________________________________

The answer is 0.294. This can be found by using the pbinom function in R.

Function is the process or state of instruction that text inputs performance is specific tax and produce an output functional key components of programming language allowing the quarters to create complex commands with simple instruction for example a function can be used to add two numbers round together or to generate a random number function can also be combined to create more complex sequence of instruction.

This function calculates the cumulative probability of a binomial variable from 0 to a certain value. In this case, the probability of Y being greater than or equal to 60 and less than or equal to 70 is 0.294.

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The set of truth values that make the three specifications true is FFT, TFT, TFF, and TTT.

Let's break it down step by step:

u: The software system is being upgraded.

a: Users can access the file system.

s: Users can save new files.

The given specifications are as follows:

Whenever the system software is upgraded, users cannot access the file system.
If users can access the file system, then they can save new files.
If users cannot save new files, then the system software is not being upgraded.

Given these specifications, we can set up the following truth table:

The set of truth values that make the three specifications true is therefore FFT, TFT, TFF, and TTT.

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Step-by-step explanation:

let length and width be increased by x>0

(10+x)(5+x)=6×10×5

50+10 x+5x+x²=300

x²+15x-250=0

x²+25 x-10x-250=0

x(x+25)-10(x+25)=0

(x+25)(x-10)=0

x=-25(rejected),10

so x=10

Answer:

£2,700

Step-by-step explanation:

Ryan pays a deposit for the sofa then pays the rest of the cost in 24 equal payments of £112.50 b) How much was the deposit?

If Ryan paid the rest of the cost in 24 equal payments of £112.50, then the deposit would have been the total cost minus the total amount of the 24 payments, which is £2,700. Therefore, the deposit was £2,700.

Answer: Candles Cost $10 Each

Step-by-step explanation: Every single other question gains per hour/day while the candle cost always stays the same and you can come back a week later to find the candle to most likely still be 10$

The solution is, x²-14x+24

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given:

x=12, x=2

Solution:  In order to determine the quadratic equation we need to move the integers onto the side where x is and then distribute.

Move the integers

Solution #1

x-12 = 0

Solution #2

x-2=0

Create and expression and distribute

(x-12)(x-2)=0

solving we get,

x²-14x+24 = 0

Therefore, after completing the steps we were able to determine that the quadratic equation that will have solutions of x = 12 and x = 2 is x^2 - 14x + 24.

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The conclusion that the herds are not statistically different is false.

The correct option is B.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

You conducted a t-test to determine whether two herds of elk have statistically different migration dates.

The resulting p-value was .03.

Here, the p-value is less than 0.05.

That means,

the p-value is statistically significant.

And there is a 3% chance that the null hypothesis should be rejected.

Your conclusion is that the herds are not statistically different.

Therefore, your conclusion is incorrect.

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The regular price of the suit is $250.

What is the discounts ?

A discount is a reduction in the price of a product or service. It is often used as an incentive to encourage customers to buy a product or service, especially when the original price is considered too high.

Let's assume the regular price of the suit to be x.

According to the problem, the sale price of the suit after a 25% discount is $187.5.

This can be written as:

x - 0.25x = 187.5

Simplifying the equation:

0.75x = 187.5

Dividing both sides by 0.75:

x = 250

Hence, the regular price of the suit is $250.

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Answer: C

Step-by-step explanation:

Answer:

D: [-4, ∞) and R: [0, ∞)

Step-by-step explanation:

The answer is D: [-4, ∞) and R: [0, ∞)

Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.

Here,

Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:

Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:

Force exerted by hand H on box A (largest force)

Force exerted by hand H on box B

Force exerted by box A on hand H

Force exerted by box B on hand H

Force exerted by box A on box B (smallest force)

Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.

Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.

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let the total population be x

Step-by-step explanation:

38.8%of x=12,900,000

x=12,900,000*100/38.8

x=12,900,000*100*10/388