50 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!

mean = 11+20+38+5+4/5 = 78/5 = 15.6

Answer:

Step 1:

a.) 16 pets in total (1 + 0 + 2 + 0 + 3 + 8 + 0 + 2)

b.) the mean is 2 (16 is the total number of pets, divide that by 8 which is the total number of students asked, 16/8 = 2)

Step 2:

a.) 0, 0, 0, 1, 2, 2, 3, 8 (zero, one, two, three, four, five, six, seven, eight.)

b.) 0 and 3 are the middle numbers (center.)

c.) 3/2 = 1.5 (0+3 = 3 divided by 2 = 1.5)

Step 3:

- most of the students did not have any pets, so the mode would be 0 (it is zero because zero appears in the set of numbers 3 times. More than any other number).

Step 4:

They should use the mean of the amount of pets the students have; this is because the mean is the average amount of pets counting everyone in class—regardless on if there were zeros in the list.

Answer:

53yd

Step-by-step explanation:

SA1 = 2(4×2)

= 2×8

= 16

SA2 = 2(4×3)

= 2×12

= 24

SA3 = 2(3×2)

= 2×6

= 12

TOTAL SA

16+24+13

= 53

Answer:

The surface area of the square pyramid is 18 km².

Step-by-step Explanation:

What is the surface area of a square pyramid with a slant height?

The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.

Mathematically, it can be expressed as:

Surface Area S.A = P × l/2

where;

Side length (a) = 3

Base perimeter (P) = 4a = 4(3) = 12km

Slant length (l) = 3 km

Surface Area (S.A) = 12 × (3/2)

Surface Area (S.A) = 12 x 1.5 = 18 km²

Therefore, the surface area of the same pyramid is 18 square km.

[tex]\sf SA_{Pyramid} =\boxed{\sf 27km^{2}}.[/tex]

We're asked to calculate the surface area (SA) of a pyramid. Surface area of a tridimensional shape isn't more than calculating the area of all of its "faces" and then adding them all together. Some of these tridimensional shapes already have equations that provide a direct calculation of this parameters, without the need to add together the area of the different parts of the shape.

There's a developed formula for directly calculating the surface area of square pyramids, but in this case it is easier to just calculate the individual areas of each face and add them all together.

This is pretty easy to calculate, as the base forms the shape of a square. Therefore, multiplying the length and width of this square will give us that area:

[tex]\sf A_{Base} =lw=3km*3km=\boxed{\sf 9km^{2}} .[/tex]

Check attached image 1 to see where we got these values from.

So these faces form the sape of a triangle. Therefore, mul;tiplying their lengh by width and then dividing by 2 should give us the area.

[tex]\sf A=\dfrac{lw}{2} =\dfrac{(3km)(3km)}{2}=4.5km^{2}.[/tex]

Check attached image 2 to see where we got these values from.

This is the area of an individual triangular face of the pyramid, but we have a total of 4 faces. Hence, let's multiply this area by 4 to find the total area of all triangular faces:

[tex]4.5km^{2} *4=\boxed{\sf 18km^{2}}.[/tex]

So the total surface area, as stated at the beginning of this answer, is given by the addition of all individual areas from all the faces of the shape, so let's do just that:

[tex]\sf SA_{Pyramid} =9km^{2} +18km^{2}=\boxed{\sf 27km^{2}}.[/tex]

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From the given triangle, x has a value of 35°.

As a result, one of the triangle's sides has been stretched to create an exterior angle of 125° outside angle.

Angles that are always located near one another, sharing a similar vertex and common side but not overlapping, are said to be adjacent angles.

According to the above figure, the tringle's exterior angle is 125°, and y is an adjacent angle to that.

Now, 125°+ y =180°

y = 180°-125°

y = 55°

As a result, the supplied triangle's value for y is 55°.

The sum of the triangle law,

55°+ 90° + x  = 180°

x = 35°

Therefore the value of x = 35°

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The constant of variation that exists between the weight and the volume of the objects would be = 7/5. That is option C.

A measurement is said to vary directly with another when the increase in proportion of the object leads to a direct decrease to the other one.

That is for the given object;

Weight is directly proportional to Volume

Therefore, weight = k Volume

K = constant of variation

make k the subject of formula;

k= weight/volume

but weight = 28

volume = 20

k = 28/20

= 7/5

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There are 12 animals that are neither dogs nor cats.

If 5/8 of the animals are dogs, then the remaining 3/8 of the animals are not dogs.

3/8 x 96 = 36

if 1/4 of the animals are cats, then the remaining 3/4 of the animals are not cats.

3/4 x 96 = 72

The number of animals that are neither dogs nor cats is calculated as;

96 - 36 - 72 = 12

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Answer:

6.92

Step-by-step explanation:

When ever there are also of decimal places you must at least write the first 2 only.

Hope this helps

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Answer:

$140,000

Step-by-step explanation:

7*20,000 = 140,000

Answer:

A is incorrect because points are: (length [x], height [y])

B is correct because a point is not a size, it is a position, and they have no dimensions, as they are a dot.

C is incorrect, as I explained above.

D is incorrect, also as I explained above.

Select the bolded answers, as the question asks which are false

Imma get that brainliest ;)

Answer:

It's has to be D) because it says it depends on their dimensions.

Step-by-step explanation:

a) says they have no length or high which is almost the same thing as B).

Cuz B) they have no size or dimension

which that means that if you have to check if they all apply they all have to be the same thing in different words.

C) says their size variety which variety means it could be different types it could be without dimension it could be tall or etc

And D) says their size depends on their dimension all the others say don't have size or dimension. I hope this helps you

The amount of the down payment and the mortgage amount are $61440 and $194560

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

Buy a $256,000 home with a down payment of 24%

This means that

down payment = 24% * 256,000

So, we have

down payment = 61440

Next, we have

mortgage amount = (1 - 24%) * 256,000

So, we have

mortgage amount = 194560

Hence, the mortgage amount is 194560

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The discontinuity at x = -2 is a removable discontinuity or a hole in the graph of the function.

To identify the discontinuities in the function f(x), we first need to find the values of x that make the denominator zero, since division by zero is undefined.

The denominator of f(x) is x² + x - 2, which can be factored as (x - 1)(x + 2). Therefore, the function f(x) is undefined at x = 1 and x = -2, since they would make the denominator zero.

Now we need to determine the type of discontinuity at these points.

At x = 1, the function f(x) approaches infinity as x approaches 1 from both sides of the graph.

At x = -2, the function f(x) has a hole in the graph.

This means that the function is undefined at x = -2, but if we "plug in" x = -2, we can factor the numerator and cancel out the common factor with the denominator, resulting in a new function that is continuous at x = -2. The new function is:

f(x) = (x⁴ - 5x² + 4) / (x² + x - 2)

= [(x² - 1)(x² - 4)] / [(x - 1)(x + 2)]

= (x - 1)(x + 1)(x - 2), for x ≠ -2

Therefore, the discontinuity at x = -2 is a removable discontinuity or a hole in the graph.

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Answer:

the answer to the question provided is y = x

Answer:

a) In 2 hours

b) 16 km

Step-by-step explanation:

Let's first find out how far Abel has traveled in 2 hours. We can use the formula:

distance = speed x time

distance = 4 km/h x 2 h = 8 km

So when Jack starts cycling, Abel has already covered 8 km.

Now, let's say it takes Jack t hours to catch up to Abel. During this time, Abel has continued walking for t + 2 hours. So we can write:

distance covered by Abel = distance covered by Jack

4 km/h x (t + 2 h) = 8 km/h x t

Simplifying this equation, we get:

4t + 8 = 8t

4t = 8

t = 2

So Jack will overtake Abel after 2 hours of cycling. To find out how far they will have traveled, we can use the formula:

distance = speed x time

distance = 8 km/h x 2 h = 16 km

Therefore, when Jack overtakes Abel, they will have traveled 16 km in total.

If Allison jogs at the same rate for 1 and a half hours, the number of miles that she would jog is 6.75 miles.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Speed = 4.5/1

Speed = 4.5 miles per hour.

Making distance the subject of formula, we have:

Distance, d(t) = speed × time

Distance, d(t) = 4.5 × 1.5

Distance, d(t) = 6.75 miles.

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Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation:

We can use the logarithmic identity logb(a^n) = n*logb(a) to solve this problem.

First, we need to express 4 as a power of 2. We know that 2^2 = 4, so we can write:

log4 = log2^2

Then we can use the identity to rewrite this as:

log4 = 2*log2

Now we can use the given approximation log2 ≈ 0.4307 to approximate log4:

log4 ≈ 2 * 0.4307

log4 ≈ 0.8614

Therefore, the answer is (A) 0.8614.

The statement that gives the best approximation of the solutions of the equation f(x) = g(x) is:

option A. The solutions are where the graphs of the functions intersect at ≈ 1 and ≈ 3.642.

To find the solutions of the equation f(x) = g(x), set f(x) = g(x) and then solve for x. Using the given functions, we have:

log(x - 1) = (⅓x² - 4)

Exponentiating both sides:

x - 1 = e^(⅓x²-4)

Solve for x:

x = e^(⅓x²-4) + 1

Therefore, the solutions to the equation f(x) = g(x) are given by the values of x for which the graphs of the functions intersect. To find these points of intersection, plot the graphs of the functions and look for the points where they intersect. In other way round, solving for x numerically:

Based on the given functions, it is clear that g(x) is an upward-facing parabola with its vertex at (0, -4) and x-intercepts at (-2√3, 0) and (2√3, 0). The function f(x) is defined only for x > 1, and its graph is a monotonically increasing curve that approaches infinity as x approaches 1 from the right.

Therefore, there is only one point of intersection between the graphs of f(x) and g(x), which occurs to the right of x = 1. This point of intersection can be found numerically using a calculator or computer software, and it is approximately x ≈ 3.642.

Thus, the statement that gives the best approximation of the solutions of the equation f(x) = g(x) is:

OA. The solutions are where the graphs of the functions intersect at ≈ 1 and ≈ 3.642.

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It is a point and point is zero dimensional. Therefore the right options are A and C respectively.

Point is a basic geometric object that represents a location or a position in space. It is often represented as a dot or a small circle.

Points have no size, shape, or dimension. They are considered to be zero-dimensional objects, and they are often used as a building block for more complex geometric structures.

In addition to representing locations in space, points are also used in other areas of mathematics, such as in coordinate systems and in topology. In geometry, points are used to define lines, planes, and other geometric shapes.

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Answer:

Vertex= (-5, 2)

Step-by-step explanation:

The vertex shifts 5 to the right (x-axis), and 2 up (y-axis) from the point of origin. Then plug in the x values to find other y values.

5. The answer is option D (12.53, 61.39°)

6. Option D. ((7√2)/2, (-7√2)/2)

7. Option C. (104.40, -16.70°)

Question 5:

Apply the Pythagorean theorem to find the distance r from the fire station to the destination:

r = √(62 + 11²) = 12.53 (rounded to the nearest hundredth)

The angle θ between the positive x-axis and the line connecting the fire station to the destination is found using tangent:

tan(θ) = ¹¹/₆

θ = arctan(¹¹/₆) = 61.39° (rounded to the nearest hundredth)

Therefore, the answer is (12.53, 61.39°), which is option D.

Answer: D. (12.53, 61.39°)

Question 6:

Convert from polar coordinates to rectangular coordinates using the following formulas:

x = r cos(θ)

y = r sin(θ)

Plugging in the values, we get:

x = -7 cos(3π/4) = -7√(2)/2) = 3.5√(2)

y = -7 sin(3π/4) = -7√(2)/2) = -3.5√(2)

Therefore, the rectangular coordinates of the point are (3.5sqrt(2), -3.5sqrt(2)), which can also be written as (-4.95, -4.95) (rounded to the nearest hundredth).

Answer: (7√(2)/2), -7√(2)/2))

Question 7:

Use the Pythagorean theorem to find the distance r from the starting point to the current position:

r = √(100² + 30²) = 104.40 (rounded to the nearest hundredth)

The angle θ between the positive x-axis and the line connecting the starting point to the current position can be found using tangent:

tan(θ) = 30/100

θ = arctan(30/100) = 16.70° (rounded to the nearest hundredth)

However, since the woman is south of the starting point, the angle should be in the negative direction, so we have:

θ = -16.70°

Therefore, the answer is (104.40, -16.70°), which is option C.

Answer: C. (104.40, -16.70°)

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The percentage rate of change per minute is approximately 0.98%

The mass of the sample decreases by 59% every hour, so we can write the following differential equation:

dm/dt = -0.59m

Rate of change of the mass (dm/dt) is equal to the mass (m) multiplied by the constant -0.59.

We can solve this differential equation using separation of variables:

dm/m = -0.59 dt

Integrating both sides, we get:

ln|m| = -0.59t + C

where C is the constant of integration.

To find C, we can use the initial condition that the mass of the sample is 530 grams at t=0:

ln|530| = C

C = ln(530)

So the solution to the differential equation is:

ln|m| = -0.59t + ln(530)

[tex]m(t) = 530 e^(^-^0^.^5^9^t^)[/tex]

This function represents the mass of the sample after t hours, where the rate of change per minute is given by the constant

k = -0.59/60 = -0.00983 (rounded to 5 decimal places).

To find the percentage rate of change per minute, we can multiply k by 100 to convert it to a percentage:

-0.00983 × 100 = -0.983%

Therefore, the percentage rate of change per minute is approximately 0.98%

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The midpoint of the line segment FG is the point (4, 12).

In geometry, the midpoint of a line segment is the point that is exactly halfway between the endpoints of the segment. It is the point that divides the segment into two congruent segments.

The formula for finding the midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is:

Midpoint = [(x₁ + x₂)÷2, (y₁ + y₂)÷2]

So, the midpoint of the line segment with endpoints F(-10, 12) and G(18, 12) can be found as:

Midpoint = [(-10 + 18)÷2, (12 + 12)÷2]

= [8÷2, 24÷2]

= [4, 12]

Therefore, the midpoint of the line segment FG is the point (4, 12).

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Answer:

1.Ongoing efforts have been undertaken in Malaysia to improve the financial reporting and accountability in government agencies. Discuss the efforts.

Malaysia has been making efforts to improve financial reporting and accountability in government agencies for several years. In 2015, the Malaysian government introduced a new financial reporting framework for government agencies called the Malaysian Public Sector Accounting Standards (MPSAS). This framework is designed to improve financial reporting and ensure that government agencies are held accountable for their financial performance.

The MPSAS framework is based on international accounting standards and is meant to increase transparency and consistency in financial reporting. It includes guidelines for budgeting, financial management, and reporting of financial performance. Additionally, the Malaysian government has established the Accountant General's Department, which is responsible for overseeing financial reporting in government agencies.

Other initiatives aimed at improving financial reporting and accountability in Malaysia include the implementation of electronic financial management systems, the introduction of new financial management guidelines, and the establishment of a Financial Management Committee to oversee financial management across all government agencies.

2.Discuss the extent of application for the key accounting concepts in the public sector.

The key accounting concepts that are applicable to the public sector are similar to those used in the private sector, with some important differences. One of the key differences is that in the public sector, accounting practices are focused on ensuring accountability to the public and ensuring that public funds are used responsibly.

Some of the key accounting concepts that are applicable in the public sector include accrual accounting, budgeting, and financial reporting. Accrual accounting is used to record financial transactions as they occur, regardless of when payment is made or received. This helps to ensure that all financial transactions are recorded accurately and transparently.

Budgeting is also an important accounting concept in the public sector. Governments typically create budgets to allocate funds to various programs and projects. These budgets are then used to monitor financial performance and ensure that resources are used efficiently.

Financial reporting is another key accounting concept in the public sector. Governments are required to report on their financial performance to ensure transparency and accountability. This includes reporting on revenue and expenses, assets and liabilities, and cash flow.

3.Clearly describe the regulatory framework and procedures for financial reporting in the public sector.

The regulatory framework for financial reporting in the public sector typically involves a combination of national and international accounting standards. In Malaysia, the regulatory framework is based on the Malaysian Public Sector Accounting Standards (MPSAS), which are based on international accounting standards.

Under this framework, government agencies are required to prepare financial statements in accordance with MPSAS. These statements include the statement of financial position, statement of financial performance, statement of changes in equity, and statement of cash flows.

Additionally, the Accountant General's Department is responsible for overseeing financial reporting in government agencies. They are responsible for ensuring compliance with MPSAS and for providing guidance on financial reporting issues.

Government agencies in Malaysia are required to submit their financial statements to the Accountant General's Department for review and approval. Once approved, these statements are published and made available to the public.

Overall, the regulatory framework and procedures for financial reporting in the public sector are designed to ensure transparency and accountability in the use of public funds.

The circumference of the circle with a radius of 10 cm is 20π cm, option (C) is correct.

A circle's perimeter, or the distance encircling it, is known as its circumference. It is determined by multiplying the circle's diameter by pi. But in this case, we are given the radius of the circle, which is half of the diameter.

To get a circle's circumference, use the following formula:

C = 2πr

where;

r = radius of the circle

π = mathematical constant pi (approximately equal to 3.14).

Given the radius of the circle as 10 cm, we can use the formula to find its circumference:

C = 2πr

C = 2π(10 cm)

C = 20π cm

Hence, option C is correct.

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The correct question is:

What is the circumference of the circle with radius = 10 cm (leave your answer of π).

A) 10π cm

B) 5π cm

C) 20π cm

D) 10π cm

Area = 4b² + 16b + 16 square centimeters

The side length of the larger square, L, is equal to the side length of the smaller square plus twice the width of the border:

L = 4 + 2b

Now, we want to find the total area of the decorative tile, which is the area of the larger square. The area of a square is given by the side length squared:

Area = L²

Substitute the expression for L from above:

Area = (4 + 2b)²

Now, we can expand this expression:

Area = (4 + 2b)(4 + 2b)

Area = 16 + 8b + 8b + 4b²

Area = 16 + 16b + 4b²

So, the total area of the decorative tile in terms of b is:

Area = 4b² + 16b + 16 square centimeters

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The equation of the regression line is Pulse = 1.301 + 7.316 * Speed. The slope parameter represents how pulse rate changes with skateboarding speed. The margin of error for a 99% confidence interval for the slope is 2.517.

Part A: The equation of the regression line can be written as: Pulse = 1.301 + 7.316 * Speed

Part B: The slope parameter of 7.316 means that for every 1 unit increase in skateboarding speed, the pulse rate increases by an average of 7.316 beats per minute. The intercept parameter of 1.301 represents the pulse rate at a speed of 0 miles per hour (which doesn't have a specific meaning in this context).

Part C: To compute the margin of error for a 99% confidence interval for the slope, we use the formula: margin of error = critical value * standard error. The critical value for a 99% confidence interval is approximately 2.896. Plugging in the values, we get margin of error = 2.896 * 0.870 = 2.517 (rounded to three decimal places).

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P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100

The sorted edges algorithm was applied to the pentagon prism graph ABCDEA with edge weights given. The final path is starting and ending at vertex A is  A-B-C-D-A-E.

The sorted edges algorithm starts by sorting the edges in ascending order of their weights. Then, starting from vertex A, the algorithm chooses the next smallest edge that connects to an unvisited vertex until all vertices have been visited.

Sort edges in ascending order

AD = 4, EA = 6, BC = 2, BD = 9, AB = 7, CE = 11, DE = 8, CA = 14, BE = 15, CD = 13

Starting at vertex A, select the next smallest edge that connects to an unvisited vertex AB = 7. Move to vertex B and select the next smallest edge that connects to an unvisited vertex BC = 2. Move to vertex C and select the next smallest edge that connects to an unvisited vertex CD = 13

Move to vertex D and select the next smallest edge that connects to an unvisited vertex AD = 4. Move to vertex A and select the next smallest edge that connects to an unvisited vertex EA = 6. Move to vertex E and all vertices have been visited. The final path is A-B-C-D-A-E.

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The solution to the exponential equation is given as follows:

x = 0.8.

The exponential equation in the context of this problem is defined as follows:

[tex]\left(\frac{1}{64}\right)^{0.5x - 3} = 8^{9x - 2}[/tex]

64 is the sixth power of two, while 8 is the third power of two, hence:

Applying the power of power rule, the equation can be given as follows:

[tex]2^{-6(0.5x - 3)} = 2^{3(9x - 2)}[/tex]

[tex]2^{-3x + 18} = 2^{27x - 6}[/tex]

Exponential functions are one-to-one, meaning that the solution is obtained as follows:

-3x + 18 = 27x - 6

30x = 24

x = 0.8.

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