21. Graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6

21. Graph Of F Passes Through (-1, 5) And Is Perpendicular To The Line Whose Equation Is X = 6

Answers

Answer 1

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y represents the data points.

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

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Related Questions

Let u = [0 26 8] and A = [5 -3 1 -3 7 1]. Is u in the plane in R^3 spanned by the columns of A? Why or why not? Select the correct choice below and fill in the answer box to complete your choice. A. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced row echelon form of the augmented matrix is which is an inconsistent system.

Answers

B. No, the reduced row echelon form of the augmented matrix is which is an inconsistent system. In this case, the vector u is [0 26 8] and the matrix A is [5 -3 1; -3 7 1].

To check if u is in the plane spanned by the columns of A, we can form the augmented matrix by appending u to A, and attempt to reduce it to the reduced row echelon form.

If the resulting augmented matrix is an inconsistent system (i.e. the last row has a non-zero coefficient in the last column and a zero in the right-hand side), then u cannot be written as a linear combination of the columns of A, and thus it is not in the plane spanned by the columns of A.

In this case, the reduced row echelon form of the augmented matrix is an inconsistent system, which means that u cannot be written as a linear combination of the columns of A, and thus it is not in the plane spanned by the columns of A.

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Which of the following tables represents a relation that is a function? x y 2 −5 2 −3 2 0 2 3 2 5 x y −3 0 −1 3 0 4 3 0 4 3 x y −4 2 −3 2 0 −2 0 2 4 2 x y −4 −2 −3 4 −1 −1 −1 2 3 −3

Answers

The tables represents a relation that is a function will be table number 3. Then the correct option is C.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The number of value of the variable 'y' mush be one for a given value of 'x'. Then the relation will be a function.

If the number of value of the variable 'y' is 2 or more than two. Then the relation will not be a function.

Let's check the third option. Then we have

    x                y

   −3              0

   −1               3

    0               4

    3               0

    4               3

The tables represents a relation that is a function will be table number 3. Then the correct option is C.

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You are thinking of using a t procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not normal and may be moderately skewed. Which of the following statements is correct?A. You should not use the t procedure because the population does not have a normal distribution.B. You may use the t procedure, but you should probably only claim the significance level is 0.10.C. You may use the t procedure, provided your sample size is large, say at least fifty.D. You may not use the t procedure. t procedures are robust to nonnormality for confidence intervals but not for tests of hypotheses

Answers

The correct statement is: C. You may use the t procedure, provided your sample size is large, say at least fifty.

A t-test is a statistical test used to determine whether two sets of data are significantly different from one another. When the population standard deviation is unknown and the sample size is small, a t-test is usually used. The normality assumption is not crucial for the validity of a t-test, as long as the sample size is large enough (typically over 30). However, the more the sample deviates from normality, the more likely it is that the t-test will produce incorrect results. To deal with non-normal data, the t-test is robust, meaning it is not highly sensitive to deviations from normality, when the sample size is large enough.

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You have three dice: one red (R), one green (G), and one blue (B).? When all three dice are rolled at the same time, calculate the probability of the following outcomes:! a. 1 (R), 1 (G), 1 (B) _________? b. odd (R), even (G), any number (B) _________ c. 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) _________ ? d. No fives at all_________? e. A different number on each dice_________!

Answers

The probability of rolling 1 (R), 1 (G), 1 (B) is 1/216, odd (R), even (G), any number (B) is 1/36, 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is 1/18, no fives at all is 125/216, and a different number on each dice is 1/6.

a. The probability of rolling 1 (R), 1 (G), 1 (B) is 1/216. This is because there are 6 faces on each die, and 6 x 6 x 6 = 216 total possible outcomes. Since there is only one way to roll the dice and get 1 (R), 1 (G), 1 (B), the probability of this outcome is 1/216.

b. The probability of rolling odd (R), even (G), any number (B) is (3/6) x (3/6) x (1/6) = 1/36. This is because there are 3 odd numbers on the red die, 3 even numbers on the green die, and 6 numbers on the blue die, thus making the total number of outcomes (3/6) x (3/6) x (6/6) = 1/36.

c. The probability of rolling 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is (2/6) x (2/6) x (3/6) = 1/18. This is because there are 2 faces with a 6 or 5 on the red die, 2 faces with a 4 or 3 on the green die, and 3 faces with a 1, 2, or 3 on the blue die, thus making the total number of outcomes (2/6) x (2/6) x (3/6) = 1/18.

d. The probability of rolling no fives at all is (5/6) x (5/6) x (5/6) = 125/216. This is because there are 5 faces on each die that do not have a 5, thus making the total number of outcomes (5/6) x (5/6) x (5/6) = 125/216.

e. The probability of rolling a different number on each dice is (6/6) x (5/6) x (4/6) = 1/6. This is because there are 6 different numbers on the red die, 5 different numbers on the green die, and 4 different numbers on the blue die, thus making the total number of outcomes (6/6) x (5/6) x (4/6) = 1/6.

In conclusion, the probability of rolling 1 (R), 1 (G), 1 (B) is 1/216, odd (R), even (G), any number (B) is 1/36, 6 or 5 (R), 4 or 3 (G), 1, 2 or 3 (B) is 1/18, no fives at all is 125/216, and a different number on each dice is 1/6.

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Which two solid figures have the same volume

Answers

Below please find the answer to your question. If you need the solving part, let me know. Thank you!

An oblique prism with the base of 5cm^2 and a heigh our 10 cm and A rectangular solid with the base of 5cm^2 and height of 10cm

An editor has a stack of k documents to review. The order in which the doc- uments are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named "Relaxation Through Mathematics" and "The Joy of Calculus." Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form () (a) What is the probability that "Relaxation Through Mathematics" is first to review? (b) What is the probability that "Relaxation Through Mathematics" and "The Joy of Calculus" are next to each other in the stack?

Answers

The probability that "Relaxation Through Mathematics" is first to review is 1/k, and the probability that "Relaxation Through Mathematics" and "The Joy of Calculus" are next to each other in the stack is (1/k)*(1/(k-1)).

A) The probability that "Relaxation Through Mathematics" is first to review is 1/k. This is because there are k documents to review, and the order in which they are reviewed is random with each ordering being equally likely. Therefore, the probability that any given document is chosen first is 1/k.

B) The probability that "Relaxation Through Mathematics" and "The Joy of Calculus" are next to each other in the stack is (1/k)*(1/(k-1)). This is because there are k documents to review, and the probability that the first document is "Relaxation Through Mathematics" is 1/k. Then, since there are k-1 documents remaining in the stack, the probability that the second document is "The Joy of Calculus" is 1/(k-1). Therefore, the probability that both documents are next to each other is (1/k)*(1/(k-1)).

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suppose you roll two six-sided dice. let the macrostate s of the two dice be the sum of their top faces.

Answers

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

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Find the area of the following shape. Make sure to indicate what shapes were used, by sketching on the image, listing
formulas, and show work listed for each shape. (5 total points – 2 for accurate shapes, 2 for accurate work, 1 for total
area answer)

Answers

The area of the given figure is 43.3 units².

What is trapezium?

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

The figure has two shapes:

Trapezium and a semicircle.

Now,

We will consider one box as one unit.

Trapezium:

Height = 6 units

Parallel sides = 8 units and 5 units

Area = 1/2 x height x (sum of the parallel sides)

Area = 1/2 x 6 x (8 + 5)

Area = 3 x 13

Area = 39 units²

Semicircle:

Diamter = 6 units

Radius = 3 units

Area = 1/2 x πr²

Area = 1/2 x 3.14 x 3²

Area = 4.3 units²

Now,

Area of the figure.

= 39 + 4.3

= 43.3 units²

Thus,

The area is 43.3 units².

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What is the value today of $5,100 per year, at a discount rate of 7.9%, if the first payment is received 6 years from today and the last payment is received 20 years from today?

Answers

Answer:

$30,029.78

Step-by-step explanation:

NPV = Cash flow / (1 + i)^t – initial investment (assuming initial investment =$1).

solve NPV

$30,029.78

y = 3x + 2
y = 4x-5
I need help showing work pls

Answers

The option C.(1, -1) is correct. The solution for the system of equations y = -3x + 2 and y = 4x - 5 is x = 1 and y = -1.

How to evaluate for the solutions of the equations

We shall write the equations as:

y = -3x + 2...(1)

y = 4x - 5...(2)

to get the value of x, we evaluate as follows:

4x - 5 = -3x + 2

4x + 3x = 5 + 2 {collect like terms}

7x = 7

x = 7/7 {divide through by 7}

x = 1

put the value 1 for x in equation (1) we have;

y = -3(1) + 2

y = -3 + 2

y = -1.

Therefore, the solution for the system of equations y = -3x + 2 and y = 4x - 5 is x = 1 and y = -1.

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Let p, q, r be logical statements. Use truth tables to determine whether the following statements are tautologies.
a. [(p ^ q) -> r] <-> [p -> (q -> r)]
b. [(p Ë… q) ^ (~ q)] -> p

Answers

Truth tables are utilized to decide redundancies by assessing reality an incentive for every single imaginable mix. Both [(p ^ q) - > r] <-> [p - > (q - > r)] and [(p ∧ q) ^ (~q)] - > p were viewed as repetitions.

a. We should assemble reality table for [(p ^ q) - > r] <-> [p - > (q - > r)].

p | q | r | (p ^ q) - > r | p - > (q - > r) | [(p ^ q) - > r] <-> [p - > (q - > r)]

T | T | T | T | T | T, T | T | F | F | F | F, T | F | T | T | T | T, T | F | F | T | T | T,

F | T | T | T | T | T, F | T | F | T | T | T, F | F | T | T | T | T, F | F | F | T | T | T

Since every one of the qualities in the last segment are "T", the assertion [(p ^ q) - > r] <-> [p - > (q - > r)] is a redundancy.

b. We should construct reality table for [(p ∧ q) ^ (~q)] - > p.

p | q | ~q | (p ∧ q) ^ (~q) | [(p ∧ q) ^ (~q)] - > p

T | T | F | F | T, T | F | T | T | T, F | T | F | F | T, F | F | T | F | T

Since every one of the qualities in the last section are "T", the assertion [(p ∧ q) ^ (~q)] - > p is a repetition.

A repetition is a coherent explanation that is in every case valid, no matter what reality values doled out to its singular parts. To decide whether an assertion is a repetition, we can utilize a reality table which records generally potential blends of truth values for the parts and assesses reality worth of the whole assertion. In the event that reality worth of the assertion is generally "Valid" for every conceivable mix, then, at that point, the assertion is a redundancy. In the models given, the two explanations [(p ^ q) - > r] <-> [p - > (q - > r)] and [(p ∧ q) ^ (~q)] - > p were viewed as repetitions through truth tables.

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The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Answers

The expressions of the sale price is as follows:

Expression B: 0.8p

Expression D: p - 0.2p

How to find the expression that represent the sale price of the items?

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price.

Therefore, the expression that represent the sale price in dollars of the items can be calculated as follows:

original price = p

Therefore, let's find the percent off the price.

price off = 20% of p

price off = 20 / 100 p

price off = 0.2p

Therefore,

sale price = p - 0.2p

sale price = 0.8p

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Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.

Answers

The algebraic expression that Danielle should write is 2x - 4

How to determine the algebraic expression that Danielle should write

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

4 less than twice a number

Represent the number with x

So, we have the following representation

4 less than twice x

Twice x means 2x

So, we have

4 less than 2x

Less than here means minut

So, we have the following representation

2x - 4

Hence, the expression is 2x - 4

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25. An electrician charges an initial fee of $50 and $190 after 4 hours of w
a. Write a linear model that represents the total cost as a function of t
b. How much does the electrician charge per hour?

Answers

Answer:

Step-by-step explanation:

A. The total cost after t hours can be represented by the linear equation C(t) = 50 + 190/4 * t, where C(t) is the total cost after t hours.

B. The electrician charges 190/4 = $47.5 per hour.

Help! I hate algebra

Answers

Answer: 77

Step-by-step explanation:

Worth 25 points! Pls show work on both questions inside of the picture.

Answers

The area of the composite figure is  54 inches².

The perimeter of the figure is 35 inches.

How to find the area and perimeter of a composite figure?

A composite figures is a figure with 2 or more 2 dimensional figures. The composite figure can be divided into three shapes.

Let's find the area of the composite figure as follows:]

area of the composite figure = area of the trapezium + area of the square + area of the rectangle

area of the trapezium  = 1 / 2 (a + b)h

area of the trapezium  = 1 / 2 (5 + 8)4

area of the trapezium  = 1 / 2 × 4 × 13

area of the trapezium  = 52 / 2

area of the trapezium  = 26 inches²

Therefore,

area of the square = 4² = 16 inches²

area of the rectangle = 4 × 3 = 12 inches²

Therefore,

area of the composite figure = 12 + 16 + 26

area of the composite figure = 54 inches²

Let's find the perimeter of the composite figure as follows:

perimeter of the composite figure = 12 + 7 + 4 + 3 + 5 + 4

perimeter of the composite figure = 35 inches

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you are opening a t-shirt store. you can have long sleeves or short sleeves, three different colors, five different designs, and four different sizes. how many different shirts can you make? leave answer as a whole number, do not include decimals. answer: 120

Answers

There are 120 different shirts you can make from different combinations of sleeves, colors, and sizes.

To find the number of different shirts that can be made, use the fundamental counting principle wherein we multiply the number of options for each characteristic:

Long sleeves or short sleeves: 2 options

Three different colors: 3 options

Five different designs: 5 options

Four different sizes: 4 options

2 x 3 x 5 x 4 = 120

Therefore, the total number of different shirts that can be made is 120.

This calculation assumes that all of the characteristics are independent and can be combined in any way, which means that each shirt can have a unique combination of long/short sleeves, color, design, and size.

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The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 1.8 .

Answers

Answer:

[tex]\displaystyle P(x)=-\frac{1}{10}(x-3)^2(x+2)[/tex]

Step-by-step explanation:

Multiplicity is basically how much of a factor of a polynomial appears. In this case, if we disregard the y-intercept, we can show a multiplicity of 2 at x = 3 and a multiplicity of 1 at x=-2 with [tex]y=(x-3)^2(x+2)[/tex].

Of course, there will need to be a scale factor for the function so that the y-intercept will be at y = -1.8, so we can solve the following:

[tex]-1.8=a(0-3)^2(0+2)\\-1.8=a(3)^2(2)\\-1.8=a(9)(2)\\-1.8=18a\\-0.1=a[/tex]

Thus, we can write the function as [tex]\displaystyle P(x)=-\frac{1}{10}(x-3)^2(x+2)[/tex]. See below for a visual.

Need Help For Parts B and C, chart is below

For the function f(x) = x, we know f(4) = 2 and f(9)=3.
a. Use linear interpolation to find [tex]\sqrt{5}[/tex].
Answer: [tex]\sqrt{5} = 2.2[/tex]
b. Use the table of square roots in the back of the text to find the error to 3 decimal places
c. What is the percentage error? (Recall that percentage error is 100∗error/(exact answer). )

Answers

The error to 3 decimal place is 0.036

The percentage error is solved to be 1.61%

How to find the error

The error is calculated using the formula

= Approximate value – Exact Value

where

the approximate value = 2.2

Exact value from the table = 2.236

error = 2.2 - 2.236

error= -0.036

The percentage error

=(Approximate value – Exact Value) / Exact value * 100

= 0.036 / 2.236 * 100

= 0.0161 * 100

= 1.61%

The percentage error is 1.61%

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6TH GRADE MATH!!! Please Help me I'm stuck on this (worth 20 points!) Pleasee Help!!!! MARKING BRAINLIST!


A gardener would like to add to their existing garden to make more flowers available for the butterflies that visit the garden. Her current garden is 20 square feet. If she added another rectangular piece with vertices located at (−18, 13), (−14, 13), (−18, 5), and (−14, 5), what is the total area of the garden?


640 ft2

320 ft2

52 ft2

32 ft2

Answers

The total area of the garden is given as follows:

52 ft².

How to obtain the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:

A = lw.

For the new rectangle, the dimensions are given as follows:

l = 18 - 14 = 4.w = 13 - 5 = 8.

Hence the area of the new part is of:

A = 4 x 8

A = 32 ft².

Considering the previous part of 20 ft², the total area is given as follows:

32 + 20 = 52 ft².

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At a local store, 2 bagels and 2 cups of coffee cost $4.40. The cost of 3 bagels and 4 cups of coffee is $7.80.



Write a system of equations to represent this situation, where x
is the number of bagels and y
is the number of cups of coffee.

Answers

A system of equations to represent this situation include the following:

2x + 2y = 4.40

3x + 4y = 7.80

How to write a system of equations to describe the situation?

In order to write a system of equations that model this situation, we would assign variables to the number of bagels and the number of cups of coffee respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of bagels.Let the variable y represent the number of cups of coffee.

Next, we would translate the word problem into algebraic equation as follows:

Since 2 bagels and 2 cups of coffee cost $4.40, we would have:

2x + 2y = 4.40    .....equation 1.

Additionally, 3 bagels and 4 cups of coffee cost $7.80:

3x + 4y = 7.80    .....equation 2.

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Auberon swam 52 meters in five minutes at this rate how many meters would he swim in 10 minutes 12 minutes

Answers

If Auberon swim 52 meters in five minutes then at this rate the number of meters would he swim in 10 minutes & 12 minutes are respectively,

104 meters & 124.8 meters

What is the relation between time, distance & speed ?

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

Since Auberon swim 52 meters in 5 minutes,

you can find his average rate of swimming by dividing the distance by the time:

Rate = 52 meters / 5 minutes

        = 10.4 meters per minute

To find the distance he would swim in 10 minutes, you can multiply his average rate by the time:

Distance in 10 minutes = 10.4 meters per minute x 10 minutes

                                      = 104 meters

To find the distance he would swim in 12 minutes, you can multiply his average rate by the time:

Distance in 12 minutes = 10.4 meters per minute x 12 minutes

                                      = 124.8 meters

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A vehicle's distance d in miles is given by the function d(r,t)=r⋅t, in which r is the rate in miles per hour and t is the time in hours. What happens to the value of d if the rate is tripled and the time increases by 3 hours?

Answers

If the rate is tripled and the time increases by 3 hours, the value of d will increase by a factor of 12.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The original distance, d(r,t), can be expressed as d(r,t) = rt.

Value of d if the rate is tripled and the time increases by 3 hours

The new distance, d(3r,t + 3), can be expressed as d(3r,t + 3) = 3r(t + 3).

The new distance d(3r,t + 3) = 3r(t + 3)

= 3rt + 3(3r)

= 3rt +9r

= 3d(r,t) + 9r

Therefore, if the rate is tripled and the time increases by 3 hours, the value of d will increase by a factor of 3 + 9 = 12.

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Prove: If two angles are supplementary, then one of the angles must be obtuse.
Which image provides a counterexample to this statement?
O A.
0 в.
о с.
O D.
A
A
A
В
M
M
M
B
В
B
В
B
м с
M
с

Answers

Option D is the counterexample of this given statement.

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 110° and angle 70° are supplementary angles because the sum of 110° and 70° is equal to 180°.

Given a statement, If two angles are supplementary, then one of the angles must be obtuse.

In A, ∠BMC is an obtuse angle.

In B, ∠AMB is an obtuse angle

In C, ∠AMB is an obtuse angle.

But in D, there are two right angles. { two right angles are supplementary. }

Therefore, Option D is the counterexample of this given statement.

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select all the rates that are unit rates 2/4/5 3/4/1 3:4 9/1 10:1

Answers

From the given rates, the unit rates are as follows 9/1 and 10:1. That is option D and E.

What is a unit rate?

A unit rate of a measurement of the distance of a traveling vehicle or of a moving object is the rate for per one of the value of interest.

A unit rate can only be two figures that shows the relationship that exists between them and a whole value.

Therefore the given rates that shows unit rate are 9/1 and 10:1

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Solve the system by substitution
Y= 8
-3x-y=1

Answers

Answer:

x = -3

Step-by-step explanation:

-3x - 8 = 1

-3x = 9

3x = -9

x = -9/3

x = -3

will give brainliest
could someone help me? im stuck, not the best with matrices/matrix. ​

Answers

The order of the matrix is

C. 5 x 3

What is order of a matrix?

The order of a matrix is the number of rows and columns it has.

It is represented as "m x n",

where

m is the number of rows and

n is the number of columns.

For example, a matrix with 3 rows and 4 columns has an order of 3 x 4.

In the problem, the matrix has 5 rows and 3 columns and hence the order is 5 x 3

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In triangle BCD below, H is the circumcenter. Given BD= 80 and HB=50, find the segments below. Round to tenths if necessary.

Answers

The length of EH is determined as 10.72.

What is the length EH?

The length of EH can be determined if the length of the each side is properly identified as shown below.

In the given figure, H is the circumcenter of triangle BCD,

BD = 80HB = 50BC = 18HD = 14

Triangle BHD is isosceles, therefore BH = HD

Point E is midpoint of BC, therefore BE = ¹/₂ of BC

Using Pythagorean, calculated the value of EH as follows;

EH = √ (BH² - BE²)

EH = √ ( 14² -  ( 18 /2) ² )

EH = √ ( 196 - 81 )

EH = √115 = 10.72

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The side length of BE is 40 units

How to determine the side length of BE

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

H is the circumcenter.

BD= 80 and HB=50

Using the above as a guide, we have the following:

BE = 1/2 * BD

Substitute the known values in the above equation, so, we have the following representation

BE = 1/2 * 80

Evaluate

BE = 40 units

Hence, the side length of BE is 40 units

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the not the play took in $728 one night. the number of $adult tickets was 14 less than twice the number of $5 child tickets. ​

Answers

Answer:

Let's call the number of $5 child tickets sold "x".

According to the problem, the number of $adult tickets was 14 less than twice the number of child tickets, so the number of $adult tickets sold can be represented as 2x - 14.

The total revenue from ticket sales was $728, so we can set up an equation:

5x + 20(2x - 14) = 728

Expanding the second term on the left side of the equation:

5x + 40x - 280 = 728

Combining like terms:

45x = 1008

Dividing both sides of the equation by 45:

x = 22.4

So the number of child tickets sold was 22 and the number of adult tickets sold was 2 * 22 - 14 = 36.

If the arc measures of MN=87, what is the measure of

Answers

The required measure of the angle ∠MON is given as 87°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For the given circle, the measure of arc MN is given in the form of an angle of 87° which consists of an angle MNO, so the measure of the section is equal to MON i.e.
∠MON = 87°

Thus, the required measure of the angle ∠MON is given as 87°.

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