Are the graphs of the pair of equations parallel, perpendicular, or neither?
y = 2x + 1
2x - y = 3

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

Part A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair is

The total amount they both make from selling necklaces = 8·L + 8·A

Part B

The total amount they both make from selling jewelries = 35 + 8·L + 8·A

Step-by-step explanation:

The amount at which Liz and Andy sells necklaces = $8

The amount Andy makes selling bracelets = $35

Part A

The total amount of necklaces Liz sells = L

The total amount of necklaces Andy sells = A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair, 'N', is given as follows;

N = 8·L + 8·A

Part B

The expression for the total amount of money Liz and Andy makes selling jewelries at the fair, 'J', is given as follows;

J = 35 + 8·L + 8·A

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The answer is A. SAS.

If a parallelogram is given and we want to prove that ALMN is congruent to ANOL, we can use the SAS (Side-Angle-Side) postulate.

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In the case of the parallelogram, we know that AL is congruent to NO (opposite sides of a parallelogram are congruent) and LM is congruent to OL (opposite sides of a parallelogram are congruent). Additionally, angle LAM is congruent to angle LAO (opposite angles of a parallelogram are congruent).

By using the SAS postulate, we have two sides and the included angle that are congruent in both triangles. Therefore, we can conclude that triangle ALMN is congruent to triangle ANOL.

So, the answer is A. SAS.

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Answer:

The method of matrixes that would be used for this question is Gaussian Elimination.

Step-by-step explanation:

Gaussian Elimination is a method of solving linear equations by transforming them into upper triangular form. In this case, we want to solve for the original amount of money placed in each account, which can be represented by variables x, y, and z. We can set up the equations as follows:

4x + 5.5y + 6z = 1,300

x + y + z = 24,500

4x = y

We can then use Gaussian Elimination to solve for x, y, and z.

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Answer:

------------------

Simplify in below steps:

Answer:

-3 the reaction force will be 3, the net force will have to add up to 0.

Step-by-step explanation:

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Options are;

(a) the response time is between 5 and 10 minutes

(b) the response time is less than 5 minutes

(c) the response time is more than 10 minutes

Answer:

A) 0.7613

B) 0.1469

C) 0.0918

Step-by-step explanation:

We are given;

mean; μ = 7.2 minutes

Standard deviation; σ = 2.1 minutes

To answer the question, we will use the z-score formula which is;

z = (x¯ - μ)/σ

a) probability that the response time is between 5 and 10 minutes.

Z_5 = (5 - 7.2)/2.1

Z_5 ≈ -1.05

Z_10 = (10 - 7.2)/2.1

Z_10 = 1.33

From z-distribution table, p-value of z = -1.05 is p = 0.1469

Also,for z = 1.33, p-value = 0.9082

Thus; P(5 < x¯ < 10) = 0.9082 - 0.1469 = 0.7613

B) the response time is less than 5 minutes.

Thus, x¯ = 5

Like seen above;

Z_5 = (5 - 7.2)/2.1

Z_5 ≈ -1.05

P-value from z-distribution table is;

p = 0.1469

C) the response time is more than 10 minutes.

Like seen in option A above, P(x¯ < 10) = 0.9082

Therefore, P(x¯ > 10) = 1 - 0.9082 = 0.0918

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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The perimeter and the area of the rectangle is as follows:

perimeter=182 cm

area=2028cm².

A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.

The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:

Rectangular Area = (l x w)

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).

Formula for the Perimeter of a Rectangle: 2 (Length + Width)

Now in the question given,

Length of the rectangle = 8cm.

Width of the rectangle = 6cm.

So, original perimeter=2 × (8+6) +28 cm and

original area=8 × 6= 48 cm²

Now the scale factor = 6.5

New length = 8 × 6.5 = 52cm

width = 6 × 6.5 = 39cm.

New perimeter = 2(52+39) =182 cm.

New area = 52 × 39 = 2028cm².

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The complete question is:

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

The areas of the composite figures are:

Case 1: 21 m²

Case 2: 217.5 m²

Case 3: 42 m²

Case 4: 168 cm²

Case 5: 252 m²

Case 6: 27 in²

Case 7: 39 cm²

Case 8: 44 cm²

Case 9: 558

Case 10: 70

Case 11: 78 cm²

Case 12: 21 ft²

In this problem we need to determine the areas of triangles, rectangles and composite figures formed by adding triangles and rectangles. The area formulas are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The areas are now determined below:

Case 1:

A = 0.5 · (7 m) · (6 m)

A = 21 m²

Case 2:

A = (9 m) · (15 m) + 0.5 · (11 m) · (15 m)

A = 217.5 m²

Case 3:

A = 0.5 · (7 m) · (12 m)

A = 42 m²

Case 4:

A = 2 · 0.5 · (6 cm) · (8 cm) + 2 · 0.5 · (15 cm) · (8 cm)

A = 168 cm²

Case 5:

A = 2 · 0.5 · (7 m) · (9 m) + 2 · 0.5 · (21 m) · (9 m)

A = 252 m²

Case 6:

A = (9 in) · (2 in) + (3 in)²

A = 27 in²

Case 7:

A = (9 cm) · (3 cm) + (6 cm) · (2 cm)

A = 39 cm²

Case 8:

A = (4 cm) · (5 cm) + (2 cm) · (3 cm) + (3 cm) · (6 cm)

A = 44 cm²

Case 9:

A = 2 · 0.5 · 10 · 18 + 18 · 21

A = 558

Case 10:

A = 14 · 5

A = 70

Case 11:

A = (12 cm) · (6.5 cm)

A = 78 cm²

Case 12:

A = (3 ft) · (5 ft) + (3 ft) · (2 ft)

A = 21 ft²

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Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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The number of non-members is 12 and the number of members is 24.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the number of members, and the number of non-members.

3x + 5y = 132

x = 2y

After solving the above two linear equations:

6y + 5y  = 132

11y = 132

y = 132/11

y = 12 non-members

x = 24 members

Thus, the number of non-members is 12 and the number of members is 24.

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The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Answer:

Step-by-step explanation:

310 is the answer.

Answer:

Great question

Step-by-step explanation:

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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To calculate the standard deviation of discrete random variables when given standard deviation and mean, we can follow the mentioned procedure.

Determine the mean, or expected value, by adding the products of each result and its probability:

μ = n ∑ i = 1

x 1p1 + x2p2 + xnpn = x I p I

Step 2: Using the formula

σ^2=n∑i=1,

calculate the variance for the random variable.

p I ( x I − μ ) 2 .

Step 3: Take the square root of the variance to calculate the standard deviation.

A discrete random variable is one that can have just a finite number of or countably infinitely many different values. However, this does not mean that the sample space can only have a finite number of outcomes.

A random variable is one that can have several values, each of which has a certain probability of occuring. The random variable is discrete when there are a finite (or countable) number of such values.

Random variables are distinct from "regular" variables, which have a fixed (but frequently unknown) value.

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Answer:

Co-ordinates of the focus is; (0, -4)

Step-by-step explanation:

We are given;

Vertex at origin; (0, 0)

Equation of parabola; y = x²/4p

4p = -16

Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)

Now, from 4p = -16 we can find p

p = -16/4

p = -4

Thus coordinates of the focus is; (0, -4)

His total earnings for a total sale of 7,000​ could be 1450sh

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

Salary = 400

Commission = 15%

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

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

\(2\frac{3}{50}\)

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50