(−3,y) and (x,2).

y=−2x+2
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.

Complete the table below.

x y
row 1−3 Answer

row 2 Answer
2

Answer:

20 miles

Step-by-step explanation:

1.6km is equivalent to 1 mile

so 30km / 1.6 = 18.75 miles

therefore 20 miles is the closest to 30km

The probability that the fish is at most 0.5 meters away from the center of the container, considering the volume of the cube, is given as follows:

0.0723 = 7.23%.

The volume of a cube of side length s is given by the side length cubed, that is:

V = s³.

The cube in this problem has a side length of 1.2 meters, hence the volume is given as follows:

V = 1.2³ = 1.728 cubic meters.

Considering only the inner 0.5 meters of the cube, the volume is given as follows:

V = 0.5³ = 0.125 cubic meters.

A probability is given by the division of the number of desired outcomes by the number of total outcomes, hence:

p = 0.125/1.728 = 0.0723 = 7.23%.

(desired volume is of 0.125 m³, total is of 1.728 m³).

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Answer:

$1.70 per share

Step-by-step explanation:

37.90-36.20=1.70

The value of the expression 2 x 4² + 5 will be 37

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

2 x 4² + 5

On solving the expression, we get -

2 x 4² + 5

2 x 4 x 4 + 5

32 + 5

37

The value of the expression 2 x 4² + 5 will be 37

Therefore, the value of the expression 2 x 4² + 5 will be 37

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Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

The rate of change of the equation, y = 2/3x - 18, is: 2/3.

The rate of change of a linear equation that is expressed in slope-intercept form as y = mx + b is represented by the value of m in the equation. It is also referred to as the slope of the equation.

For example, if we are given the equation, y = 4x + 5, the value of m is 4. This implies that the rate of change, which is the slope, is equal to 4.

In the same vein, we are given the equation, y = 2/3x - 18.

The value of m, which is the slope or rate of change in the equation y = 2/3x - 18 is equal to 2/3.

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The area of the rectangle is given by the formula below:

A = 18x^2 - 27x + 7

For a rectangle of width W and length L, the area is given by the formula:

A = W*L

Here we know that the dimensions of a rectangle are 6x-7 and 3x-1, then we can define:

L = 6x - 7

W = 3x - 1

Replacing that in the area formula above we will get:

A = (6x - 7)*(3x - 1)

Now we can expand that product:

A = (6x)*(3x) + (6x)*(-1) + (-7)*(3x) + (-7)*(-1)

A = 18x^2 - 6x - 21x + 7

A = 18x^2 - 27x + 7

That is the formula for the area in terms of x.

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The percent that Desmond average speed increase is 25%.

From the information, with his old trainer, Desmond averaged a pace of 24 MPH and with his new trainer, he rode at an average speed of 30 MPH.

It should be noted that the percentage increase in speed will be:

= Change in speed / Initial speed × 100

= (30 - 24) / 24 × 100

= 6/24 × 100

= 25%

The percentage is 25%.

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The number of ways to select 3 position out of 10 applicant is 120 ways

Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. Combination formula is illustrated as:

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Since there are 10 applicants applying for 3 positions. This will be:

= 10! / (10 - 3)!3!

= 10! / 7!3!

= 10 × 9 × 8 / 3 × 2

= 120

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The arithmetic sequence has the 73rd term of 306

The sequence is given as:

18,22,26,30,....

The above sequence has the following parameters

This means that the sequence is an arithmetic sequence

The nth term of an arithmetic sequence is calculated as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation

So, we have the following equation

f(73) = 18 + (73 - 1) * 4

Evaluate

f(73) = 306

Hence, the 73rd term for the arithmetic sequence is 306

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The fraction of the voters polled voted for Eric Jackson is 50/13. A fraction is a portion of a whole or, more broadly, any number of equal parts.

Therefore,

The fraction of the voters polled voted for Eric Jackson is 50/13

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Answer:

Step-by-step explanation:

area=10×5+[(15-5)+7]/2×(10-6)

=50+(17)/2×4

=50+34

=?

Answer:  C.  174 + 10x - 6x = 102 + 10x

Each school give 12 correct answers

Step-by-step explanation:

174 + 10x - 6x = 102 + 10x

x =  number of correct answers AND,

x = number of incorrect answers

Solve for x:

174 - 102 = 10x + 6x -10x

72 = 6x

x = 12

Each school give 12 correct answers

Answer:

The probability is 81%

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have a total of 114 legs among hippos and birds, of which there are a total of 42. You want the number of each kind of animal.

Let h represent the number of hippos. Then 42-h is the number of birds, and the total number of legs is ...

  4h +2(42 -h) = 114

Simplifying the equation gives ...

  2h +84 = 114

  2h = 30 . . . . . . subtract 84

  h = 15 . . . . . . . . number of hippos

  42 -h = 27 . . . . number of birds

There were 15 hippos and 27 birds.

The measure of an obtuse angle is greater than 90° but less than 180°

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.

An angle is the space between two intersecting lines or surfaces at or close to the point where they meet.

Angles are mostly measured in degrees. But it can also be measured in radian. Examples of obtuse angle are 91°, 100°, 150° e.t.c

Other examples of angles are acute angle, reflex angle , right angle.

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Answer:

depends on how many sections there are

Step-by-step explanation:

if there were 2 then it would be one foot 4 sections equal 2 and so on. the ratio for this 2:1 meaning there has to be 2 sections for there to be one foot.

The conditional probability that a camper entering the Luray Caverns has Canadian license Plates is given by:

0.3214 = 32.14%.

Conditional probability is the probability of one event happening, considering the outcome of a previous event. The formula is given by the rule presented as follows:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

The probabilities that compose the formula are listed as follows:

The events in this problem are given as follows:

The probabilities are given as follows:

P(A) = 0.28, P(A and B) = 0.09.

Hence the conditional probability is obtained as follows:

P(B|A) = P(A and B)/P(A) = 0.09/0.28 = 0.3214 = 32.14%.

The probability asked is that a camper entering the Luray Caverns has Canadian license Plates.

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The amount of money that Katelyn’s brother borrowed for school would be = $ 2,000.

Interest in the amount of money that an individual pays in extra with a borrowed amount of money either from an individual or from the bank.

The formula for simple interest= Principal ×Time × Rate/100

Rate of payment= 6%

Time = 6 years

Simple interest = $720

Principal= X

From the formula above, make principal the subject of formula;

Principal = SI × 100/ T× R

= 720 × 100/ 6×6

= 72000/36

=$ 2,000

Therefore, the amount of money that Katelyn’s brother borrowed for school is $2,000.

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Applying the area of square and triangle, the amount of paper needed is:  180 inches².

The area of a square shape = (side length of the shape)².

The area of a triangular shape = 1/2(base)(height)

The diagram that illustrates the problem given is shown in the image attached below, where the triangular paper to cover the triangular plank and the square paper for the square plank are shown also with their dimensions.

Therefore, the amount of paper that would cover the piece of art = area of the square shape + area of the triangular shape.

Area of the square shape = 12² = 144 inches²

Area of the square shape = 144 inches²

Area of the triangular shape = 1/2(12)(6)

Area of the triangular shape = 36 inches²

Amount of paper needed = 36 + 144

Amount of paper needed = 180 inches²

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Complete Question:

Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.

How many square inches of paper are needed to cover Theresa's art piece?

From given graph,

a - domain and range:  (-∞, 3) ∪ (3, ∞)

b - intercepts: x = 0 and y = 0

c - horizontal asymptotes: y = 3

d - vertical asymptotes: x = 3

e - oblique asymptotes: No

In this question, we have been given a graph of a function.

From given graph we need to answer the following questions.

1) domain of function: (-∞, 3) ∪ (3, ∞)

the range of function : (-∞, 3) ∪ (3, ∞)

2) the intercepts:

x = 0, y = 0

3) horizontal asymptotes

A red dotted line y = 3 is a horizontal asymptotes

4) vertical asymptotes

A red dotted line x = 3 is a vertical asymptotes

5) Oblique asymptotes

The graph of function does not have any Oblique asymptotes

Therefore, from given graph,

a - domain and range:  (-∞, 3) ∪ (3, ∞)

b - intercepts: x = 0 and y = 0

c - horizontal asymptotes: y = 3

d - vertical asymptotes: x = 3

e - oblique asymptotes: No

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Option C: The relationship between the statement cannot be determined.

What is Conditional statement?

Two independent statements can be related to each other in a logic structure called a conditional statement.

The first statement is presented with “if,” and is referred to as the hypothesis.

The second statement is linked with “then”, and is known as the conclusion.

The notation associated with conditional statements typically uses the variable p for the hypothesis statement, and q for the conclusion.

                                     p → q

Explanation for the answer:

So, from the above we can clearly see that the both the statement 1 and statement are not start with "if" and "then".

Therefore, their relationship cannot be determined.

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The length of one sides of the square Tito's Kitchen is 13 feet.

A square is a quadrilateral with 4 sides equal to each other. The opposite sides of a square is parallel to each other.

The sum of angles in a square is 360 degrees. Each angle is 90 degrees.

The kitchen is a square and has an area of 169 square feet.

The length of one side of the kitchen can be calculated as follows:

area of the square kitchen = l²

where

Therefore,

area of the square kitchen = 169 ft²

169 = l²

square both sides of the equation

√169 = √l²

l = 13 ft

Therefore,

length of the square kitchen = 13 feet.

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Answer:

r = 9

Step-by-step explanation:

Hello!

Solve for r by isolating the variable.

The value of r is 9.

The passage of journal entries to record the transactions, using the perpetual system of inventory with the First-in, First-out (FIFO) method, is as follows:

Account Titles                                 Debit        Credit

Inventory                                     $300,000

Accounts Payable (Indiana International) $300,000

Accounts Receivable

(Ceridian Corporation)            $100,000

Sales Revenue                                           $100,000

Cost of goods sold                   $60,000

Inventory                                                    $60,000

Cash                                       $275,000

Sales Revenue                                        $275,000

Cost of goods sold               $150,000

Inventory                                                 $150,000

Accounts Payable

(Indiana International)       $300,000

Cash                                                       $300,000

Inventory                            $360,000

Cash                                                      $360,000

Cash                                     $60,000

Sales Revenue                                     $60,000

Cost of goods sold            $30,000

Inventory                                              $30,000

Inventory $300,000 Accounts Payable (Indiana International) $300,000

Accounts Receivable (Ceridian Corporation) $100,000 Sales Revenue $100,000

Cost of goods sold $60,000 Inventory $60,000

Cash $275,000 Sales Revenue $275,000

Cost of goods sold $150,000 Inventory $150,000

Accounts Payable (Indiana International) $300,000 Cash $300,000

Inventory $360,000 Cash $360,000

Cash $60,000 Sales Revenue $60,000

Cost of goods sold $30,000 Inventory $30,000

Thus, with the perpetual system using FIFO, inventory movements are recorded in the Inventory account as they occur and not at the period's end.

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To make a square using the method of completing the square.

[ (a + b)² = a² + 2ab + b² ]

[ (a - b)² = a² - 2ab + b² ]

x² - 13x + 31 = 0

(x - 13/2)² + (293/4) = 0

The number added to complete the square is 293/4.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

x² - 13x + 31 = 0

To make a square using the method of completing the square.

[ (a + b)² = a² + 2ab + b² ]

[ (a - b)² = a² - 2ab + b² ]

x² - 2 x (13/2)x + (13/2)² - (13/2)² + 31 = 0

(x - 13/2)² + 169/4 + 31 = 0

(x - 13/2)² + (293/4) = 0

Thus

The number added to complete the square is 293/4.

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Option A is correct. The value of function (f/g)(x) is found to be  [tex]\sqrt[3]{3x}[/tex]/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = [tex]\sqrt[3]{3x}[/tex]

g(x) = 3x + 2

(f/g)(x) =  [tex]\sqrt[3]{3x}[/tex]/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  [tex]\sqrt[3]{3x}[/tex]/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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