What is the slope of the line represented by the equation y = 4/5x - 3

Answer:

72 square units.

Step-by-step explanation:

To find the area of the figure, we just need to find the area of the whole trapezoid and subtract the area of the small rectangle.

First, for a trapezoid of bases B₁ and B₂, and of height H, the area is:

A = (1/2)*(B₁ + B₂)*H

In the case of the image, the bottom base is 15 units long (each small square is a unit).

B₁ = 15 units

And the top base is 5 units long:

B₂ = 5 units

And the height is 10 units long.

H = 10 units.

Then the area of the trapezoid is:

A = (1/2)*(15 units + 5 units)*10 units = (1/2)*(20 units)*10 units

A = 100 square units.

The area of a rectangle of length L and width W is:

A' = W*L

In the graph we can see that:

L = 7 units

W = 4 units

A' = (7 units)*(4 units) = 28 square units.

Then the area of the figure is:

Area = A - A' = 100 square units - 28 square units = 72 square units.

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

2/5!

Step-by-step explanation:

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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Answer:

(800 x 9) + (10 x 9)

Step-by-step explanation:

Find out what 810 x 9 is:

810 x 9 = 7290

Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):

(800 x 9) = 7200

(10 x 9) = 90

7200 + 90 = 7290

The magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.

To find the magnitude and direction of the vector u = <-4, 7>, we will use the following steps:

1. Calculate the magnitude using the Pythagorean theorem.
2. Calculate the direction using the arctangent function.

Step 1: Calculate the magnitude.
Magnitude (|u|) = √((-4)^2 + (7)^2) = √(16 + 49) = √65

Step 2: Calculate the direction (angle θ).
θ = arctan(opposite/adjacent) = arctan(7/-4) ≈ -60.26° (in degrees)
Since the vector is in the second quadrant, we need to add 180°.
θ = -60.26° + 180° ≈ 119.74°

So, the magnitude and direction of the vector u = <-4, 7> are |u| ≈ √65 and θ ≈ 119.74°.

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-8/13 x 26/-3 = -208/-39 = 16/3.

16/3, D

Answer:

D. (16/3)

Step-by-step explanation:

 -8          26

-------  ×  -------  

  13          -3

Multiply the top and the bottom together.

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

-8 x 26 = -208

13 x -3 = -39

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

 -8          26        -208

-------  ×  -------  =  --------

  13          -3          -39

Simply the fraction

 -208   ÷  13           -16

------------           =  ----------

   -39  ÷   13             -3

Cancel out the negatives

-16          16

-------  =  -------

 -3            3

I hope this helps!

Answer:

5.33

Hope this helps

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Critical value of F at α = 0.05: This depends on the degrees of freedom. You can refer to a statistical table or use software to find the critical value.

To analyze the relationship between age and political views using the provided information, we can complete an ANOVA (Analysis of Variance) table and perform a hypothesis test. The ANOVA table will help us assess the significance of the relationship. Here's how we can proceed:

Set up the hypotheses:

Null hypothesis (H₀): There is no significant relationship between age and political views.

Alternative hypothesis (H₁): There is a significant relationship between age and political views.

Calculate the degrees of freedom:

Degrees of freedom between groups (df₁): Number of political view categories minus 1.

Degrees of freedom within groups (df₂): Total sample size minus the number of political view categories.

Calculate the mean squares:

Mean square between groups (MS₁): Between-group sum of squares divided by df₁.

Mean square within groups (MS₂): Residual sum of squares divided by df₂.

Calculate the F-statistic:

F = MS₁ / MS₂

Determine the critical value of F at a significance level of 0.05. This value depends on the degrees of freedom.

Compare the calculated F-statistic to the critical value:

If the calculated F-statistic is greater than the critical value, reject the null hypothesis and conclude that there is a significant relationship between age and political views.

If the calculated F-statistic is less than or equal to the critical value, fail to reject the null hypothesis and conclude that there is no significant relationship between age and political views.

Now, let's complete the ANOVA table and perform the hypothesis test using the given information:

Total sum of squares (SST) = 592,910

Between-group sum of squares (SS₁) = 7,319

Total sample size (n) = 1874

Degrees of freedom:

df₁ = Number of political view categories - 1

df₂ = n - Number of political view categories

Mean squares:

MS₁ = SS₁ / df₁

MS₂ = (SST - SS₁) / df₂

F-statistic:

F = MS₁ / MS₂

Critical value of F at α = 0.05: This depends on the degrees of freedom. You can refer to a statistical table or use software to find the critical value.

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To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

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Answer:

24%

Step-by-step explanation:

60/250=24

Answer:

Hey there, the answer 24% hope this helps!

Step-by-step explanation:

....................

Answer:

40

Step-by-step explanation:

20/.5

Answer:

ddddddddddddddddddddddddddddc

Step-by-step explanation:

cccccccccc

The discount is $30 and the rate of discount for the truckload of Kurt's Dirt selling for $120 but bought for $90 is 25%.

The discount rate refers to the percentage of price reduction offered to retail customers.

To compute the discount rate, we first determine the amount of discount.  Then the result is expressed as a percentage of the initial price before the discount.

The selling price of a truckload of Kurt's Dirt = $120

The discounted price = $90

The amount of discount = $30 ($120 - $90)

Discount rate = 25% ($30/$120 x 100).

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Answer:

3:4

Step-by-step explanation:

1=60 minutes

Natasha: Richard-----> 45:60

Simplify: 45/15= 3 60/15= 4

Ratio: 3:4

The perimeter is the all the side's lengths added up together

 -- so:   Perimeter = 2 + 10 + 2 + 10 = 24 feet

Hope that heped!

Answer:

A gardener harvested 20 tomatoes from 5 plants.

A gardener harvested 12 tomatoes from 3 plants.

Step-by-step explanation:

Answer:

Rdfff

Step-by-step explanation:

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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The width of the rectangle is 0.9 cm to 1 d.p.

A triangle is a three-sided polygon or a three-dimensional object composed of three flat surfaces that intersect at three vertices. Triangles can be classified based on their sides and angles. Equilateral triangles have all three sides equal, isosceles triangles have two sides equal, and scalene triangles have all three sides of different lengths. Triangles can also be classified based on their angles. Right triangles have one 90-degree angle, obtuse triangles have one angle greater than 90-degrees, and acute triangles have all angles less than 90-degrees.

The circumference of the shaded face can be calculated using the formula for circumference of a circle, C = 2πr, where r is the radius of the circle. The radius of the shaded face can be found by subtracting the height of the net (h) from the radius of the cylinder (R). Therefore, the circumference of the shaded face can be calculated as follows:

C = 2π(R-h)
= 2π(2-1)
= 2π
= 6.28

The circumference of the shaded face is 6.28 cm to 1 d.p.

b) To calculate the width, w, of the rectangle, we can use the formula for area of a rectangle, A = lw, where l is the length of the rectangle. The area of the rectangle can be found by adding the area of the two semicircles (πr2) and subtracting the area of the triangular part (½bh). Therefore, the width of the rectangle can be calculated as follows:

A = lw
w = A/l
w = (2πr2+2πr2-½bh)/2(2πr)
w = (4πr2-½bh)/(4πr)
w = (8-1)/(8)
w = 7/8

The width of the rectangle is 0.9 cm to 1 d.p.

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Answer:

After she distribute the \(x\) and \(-1\) by \(-5\), the after you get \(-5x - 5 > -7x + 19\), she put a negative \(5\) instead of a positive \(5\), and would be written as\(-5x + 5 > -7x + 19\).

Step-by-step explanation:

Solve the inequality for the correct solution:

\(-5(x - 1) > -7x + 19\)

-Use Distributive Property:

\(-5(x - 1) > -7x + 19\)

\(-5x + 5 > -7x + 19\)

-Take \(7x\) and add it to \(-5x\):

\(-5x + 5 + 7x > -7x + 7x + 19\)

\(2x + 5 > 19\)

-Subtract \(5\) to both sides:

\(2x + 5 - 5 > 19 - 5\)

\(2x > 14\)

-Divide both sides by \(2\):

\(\frac{2x}{2} > \frac{14}{2}\)

\(\boxed {x > 7}\)

Answers:

===========================================================

Explanation:

Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.

In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.

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

Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.

For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.

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

Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.

For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.

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

One way to check the answer:

We could use Euler's Polyhedron Formula which is

F+V-E = 2

where,

For the hexagonal prism we found

Then notice how

F+V-E = 2

8+12-18 = 2

20-18 = 2

2 = 2

This confirms the formula works for a hexagonal prism.

Now let's check it for the more general case

We found earlier that,

So,

F+V-E = 2

n+2+2n-3n = 2

3n-3n+2 = 2

0n+2 = 2

0+2 = 2

2 = 2

This helps confirm the answer for any prism with the base of n sides.

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree

No, I do not agree because:

2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.

No, do not agree because:

A  cylinder has two congruent bases but it is not a  polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons

Hope it will find you well.

The net profit for the year ending December 31, 2021, is £1,000. Therefore, the correct answer is d) £1,000.

To determine the net profit for the year ending December 31, 2021, we need to calculate the total revenue and subtract the total expenses. Let's analyze the transactions provided:

The owners invested £550,000 of their own funds into the business bank account. This does not affect the net profit as it represents an owner's contribution of capital.

The business used £16,000 from the bank account to purchase short features and fashion. This expense reduces the net profit.

The business used £10,000 from the bank account to buy new inventory. This expense also reduces the net profit.

The business bought additional inventory worth £9,000 on credit. This is not an expense for the current year as it represents an increase in assets.

The shop sold £28,000 worth of inventory to customers for cash. This revenue increases the net profit.

The business sold goods costing £6,000 to another business on credit for £8,000. This revenue also increases the net profit.

The business paid £9,000 in rent from the bank account. This expense reduces the net profit.

Depreciation and estimated electricity expenses are not mentioned in the given transactions and cannot be calculated.

The owners withdrew £10,000 in cash for personal use. This is not an expense for the business and does not affect the net profit.

Based on the provided information, we can calculate the net profit as follows:

Total Revenue = £28,000 (from sales to customers) + £8,000 (from sales to another business) = £36,000

Total Expenses = £16,000 (short features and fashion) + £10,000 (new inventory) + £9,000 (rent) = £35,000

Net Profit = Total Revenue - Total Expenses = £36,000 - £35,000 = £1,000

Therefore, the net profit obtained is £1,000.

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Answer:

Sugar = 0.8 lb

milk = 0.6 lb

Flour = 2.6 lb

Step-by-step explanation:

Firstly, we add the ratios = 3 + 4 + 13 = 20

For milk, we have 3/20 * 4 = 12/20 = 0.6 lb

For sugar l, we have 4/20 * 4 = 16/20 = 0.8 lb

For flour = 13/20 * 4 = 52/20 = 2.6

You will need:

\(Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb\)

Given:

Milk : Sugar : Flour = 3 : 4 : 13

To find the number of pounds of each ingredient required to produce 4 lb of baking mix, solve as follows:

Amount of each ingredient needed = ratio of each ingredient / total ratio value x 4 lb

Thus:

Total ratio value = \(3 + 4 + 13 = 20\)

Amount of milk needed = \(\frac{3}{20} \times 4 = 0.6 $ lb\)

Amount of Sugar needed = \(\frac{4}{20} \times 4 = 0.8 $ lb\)

Amount of Flour needed = \(\frac{13}{20} \times 4 = 2.6 $ lb\)

Therefore, you will need the follow amounts to make 4 lb of baking mix:

\(Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb\)

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Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

Mark me brainliest!

The answer is D.

The portion of the statement \({x\to 0}\) says we're looking at the graph as the x-values get closer to 0.  So we're looking at x-values like 0.1, 0.01, 0.001, 0.0001, etc and -0.1, -0.01, -0.001, -0.0001, etc.

The \(\lim\limits_{x\to 0}f(x)\)\(\lim\limits_{x\to 0}f(x) = 1\) as a whole is asking "are the y-values on the graph headed towards a specific y-value as x-values get closer to 0?"

As you move towards x = 0 from either side, the y-values get closer to y=1.

So \(\lim\limits_{x\to 0}f(x)=1\).