Please help me with this geometry

7.

From the diagram, we can conclude:

Therefore:

Add like terms:

Solve for x:

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8-9

From the diagram we can conclude:

So:

Therefore:

Answer:

The balance on the loan f(p) = $100 - $20 × p

Step-by-step explanation:

The parameters of the question are;

The loan amount = $100

The amount of monthly payment for the loan = $20

The function rule for the balance of the function f(p) where p is the number of payments is given as follows;

The balance on the loan, f(p) = The loan amount less the total amount paid

The total amount payment Jeania has made = Amount of monthly payment × Number of months paid, p

The total amount payment Jeania has made = $20 × p

∴ The balance on the loan, f(p) = $100 - $20 × p

Which gives;

f(p) = $100 - $20 × p.

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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Answer:

a. F=1.8c + 32

b. 71.6 degrees Fahrenheit

c. c=(F-32)/1.8

d. 28.3 degrees Celcius

Step-by-step explanation:

a. Given the two data points we can create an equation in slope-intercept form.

The y-intercept is 32

Slope can be found by doing 212-32/100-0 = 180/100 = 1.8

F=1.8c + 32

b. We can use this formula to solve for Fahrenheit

F=1.8(22)+32

F=71.6 degrees

c. Isolate c

F-32=1.8c

(F-32)/1.8=c

d. We can use this formula to solve for Celcius

(83-32)/1.8=c

c= 28.3333333 degrees

We can round that to 28.3 degrees Celcius

Answer:

a)F =1.8C +32

b) f(22) = 68 F

c)  C = 5/9F -17  7/9

d) 28.3

slope=   5/9  

B= -17  7/9  

Step-by-step explanation:

x1 y1  x2 y2

0 32  100 212

(Y2-Y1) (212)-(32)=   180  ΔY 180

(X2-X1) (100)-(0)=    100  ΔX 100

slope= 1  4/5    

B= 32          

Y =1.8X +32    

Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.

What are distance and time?

As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.

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The probability that an even number or a number greater than 3 is rolled on a 12-sided die is 0.833.

A 12-sided die has 12 equally likely outcomes, numbered from 1 to 12. To find the probability of rolling an even number or a number greater than 3, we need to count the number of outcomes that satisfy this condition and divide it by the total number of possible outcomes.

There are 6 even numbers on a 12-sided die, namely 2, 4, 6, 8, 10, and 12, and there are 9 numbers greater than 3, namely 4, 5, 6, 7, 8, 9, 10, 11, and 12. However, we need to be careful not to count the numbers that satisfy both conditions twice, namely 4, 6, 8, 10, and 12.

Therefore, the number of outcomes that satisfy the condition is 6 + 9 - 5 = 10. The probability of rolling an even number or a number greater than 3 is therefore 10/12, which simplifies to 5/6 or approximately 0.833.

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ALM not BLM ‏‏‎ ‎‏‏‎ ‎

Answer: 3.6 mph

Step-by-step explanation:

That's the only step since they give you that much.

More specifically though, we could create an equation.

\(12.6=3.5x\) where x is the mph.

Solve the equation by dividing both sides by 3.5 and get the same answer.

Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

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Answer:

better deal: Danny

Step-by-step explanation:

Danny charges 15$ for 1 hour

Martin charges 18$ for 1 hour

Answer:

3

Step-by-step explanation:

Answer:

(-3,-6)

Step-by-step explanation:

midpoint formula : \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

where the x and y values derive from the given points

The points given are (-4,-2) and (-2,-10)

The first step is to assign variables

first coordinate : (x1,y1) = (-4,-2) so x1 = -4 and y1 = -2

second coordinate : (x2,y2) = (-2,-10) so x2 = -2 and y2 = -10

Next we plug in these values into the formula

Recall formula : \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

x1 = -4 , x2 = -2 , y1 - 2 and y2 = - 10

plug in values

\((\frac{-4+(-2))}{2} ,\frac{-2+(-10)}{2} )\)

simplify numerators : -4 + -2 = -6 and -2 + -10 = -12

\((\frac{-6}{2} ,\frac{-12}{2} )\)

simplify fractions : -6/2 = -3 and -12/2 = -6

the midpoint is (-3,-6)

Answer:

y = -1

Step-by-step explanation:

2x - y = 1

x = 0

y = ?

2(0) - y = 1

-y = 1

y = -1

Answer:

\(y=-1\)

Step-by-step explanation:

We get the equation \(2x-y=1\), and \(x=0\). Since we know the value of \(x\), that it is equal to 0, we can plug this into the equation for \(x\):

\(2(0)-y=1\)

From here, we can multiply 2 by 0 and then divide both sides by -1 to isolate \(y\) and get what it's equal to.

\(0-y=1\)

\(-y=1\)

\(y=-1\)

Hope this helps!

The standard error of the mean is $128.125

Given:

a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.

n = 256

σ = 2050

standard error = standard deviation / sqrt of n

= 2050/\(\sqrt{256}\)

= 2050 / \(\sqrt{16*16}\)

= 2050 / \(\sqrt{16^2}\)

= 2050/16

= 1025/8

= 128.125

Therefore The standard error of the mean is $128.125.

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Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

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Answer:

RS = 6

Step-by-step explanation:

6x-2=3x+7

 +2     +2

6x   =3x+9

-3x     -3x

3x=9

x=3

3+3=6

The simplification of ratio would be; 9 : 10.

Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be represent as a fraction or as a sign: between two integers.

A proportion can be a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse that can be built to find the desired measures in the problem.

We are given that the ratio as 18 : 20

The simplification of ratio can be calculated as;

18 : 20

Divide by 2 on both sides;

9 : 10

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Answer:

No solution

Step-by-step explanation:

\(7(x+2)=7x-14\\7x-14-7x+10=0\\-4=0\\\)

it is not possible -4=0

S0 there is no solution in equation.

Answer:

No solutions

Step-by-step explanation:

Simplify the given equation:

\(7(x+2)=7x-10\)

Distribute, multiply every term inside of the parenthesis by the term outside of it.

\(7(x+2)=7x-10\)

\(7(x)+7(2)=7x-10\)

Simplify,

\(7x+14=7x-10\)

Inverse operations,

\(7x+14=7x-10\)

\(7x+(-7x)+14=7x+(-7x)-10\)

Simplify,

\(7x+(-7x)+14=7x+(-7x)-10\)

\(7x-7x+14=7x-7x-10\)

\(14=-10\)

This equation simplifies down to an untrue equation, therefore, there are no solutions to this equation.

Answer:

if you break it down into stages it flows logically and clearly. Try minusing starting with the largest number (or the smallest- however you prefer):

665.25 - 600 = 65.25

65.25 - 30 = 35.25

35.25 - 0.75 = 34.50

Final answer is: 34.50

Answer:

ok

Step-by-step explanation:

In linear algebra, eigenvalues and eigenvectors are fundamental concepts related to linear transformations or matrices.

Let's start with the definitions:

1. Eigenvalue: An eigenvalue of a square matrix is a scalar value that represents a special set of vectors called eigenvectors. When a matrix is multiplied by its eigenvector, the result is a scaled version of the eigenvector.

2. Eigenvector: An eigenvector of a square matrix corresponds to a nonzero vector that, when multiplied by the matrix, results in a scaled version of the original vector. The eigenvector may change direction but not its line of action.

- \(\(|\psi\rangle\)\) is a vector in a vector space.

- \(\(\langle\psi|\)\) is the conjugate transpose of the vector \(|\psi\rangle\), forming a row vector.

Properties of the projection operator \(\(\hat{P}_\psi\):\)

1. Idempotent: The projection operator is idempotent, meaning that applying it twice to a vector produces the same result as applying it once. Mathematically\(, \(\hat{P}_\psi \hat{P}_\psi = \hat{P}_\psi\).\)

2. Hermiticity: The projection operator is Hermitian or self-adjoint. This means that its conjugate transpose is equal to the operator itself: \\((\hat{P}_\psi^\dagger = \hat{P}_\psi\).\)

3. Eigenvalue and eigenvector: The projection operator has only two distinct eigenvalues: 0 and 1. The eigenvectors corresponding to the eigenvalue 1 are vectors in the subspace defined by \(\(|\psi\rangle\)\), while the eigenvectors corresponding to the eigenvalue 0 are orthogonal to the subspace.

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Answer:

64

Step-by-step explanation: 7^4=2401   4^4=256     2401/256= 64

By using the concept of function, it can be seen that the given table represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values under x represents the domain and the values under y represents the Range.

From the table it can be seen that

Every point of the domain maps to unique point on the range.

So this is a function.

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In the selection sort the smallest number in the set is found and swapped with the first number.

"Selection sort algorithm sorts an array by finding the smallest number from unsorted array and swap it with first number."  This algorithm creates two sub-arrays in the given array, that is, a sorted sub-array and an unsorted sub-array. After every iteration, one element is selected from an unsorted sub-array and moves to the sorted sub-array.

Selection sort must follow the given approach:

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Answer:

5 hamburgers and 3 hot dogs

Step-by-step explanation:

D = number of hot dogs

H = number of hamburgers

D + H = 8    then  D = 8 - H

1.50D + 1.75H = 13.25

substitute for D

1.50(8-H) + 1.75H = 13.25

12-1.50H + 1.75H = 13.25

subtract 12 from each side

-1.50H + 1.75H = 1.25

0.25H = 1.25

divide both sides by 0.25

H = 5

D = 8-5

D = 3

Answer:

See the attached file

Step-by-step explanation:

Your graph should pass the y axis at 3, this is because b is your y

and in y = mx + b the b is 3 in y = 1/2x + 3.

From that point of (0, 3) the correct graph rises by one and goes to the right 2

Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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The equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.

Circle is the 2D geometry which is round in shape with radius R.

The diameter with endpoints (-3,2) and (1,-6). is

D  = √ [(1+3)²+(-6-2)²]

D  = 8.944 units

Radius of circle is R = D/2

R = 8.944 units /2

R =4.4721 units

Given is the general form of the equation of a circle passing through a point and having radius R is

(x -h)² +(y - k)² = R²

Substitute the coordinate (h,k) = (-3,2) and radius R = 4.4721

(x +3)² +(y - 2)² = 4.471²

x² + y² +6x - 4y +5 = 20

x² + y² +6x - 4y -15 = 0

Thus, the equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.

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Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.

To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).

The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.

In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.

However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.

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