Pls help me with these question pls!!!!!????

Pls Help Me With These Question Pls!!!!!????

Answers

Answer 1

Answer:

Number one is only a function

Step-by-step explanation:

A function has all different x values, but if there are two of the same x values with different y values, that is not a function. It’s okay if there are two do the same x values- they just have to have the same y values.

Number one has all different x values

Number two has an x value with two different y values, therefore it is not a function

Number 3 has two of the same x values but with different y values, so it’s not a function

Number four is not a function because of the vertical line test. You pick a point on the line and draw a vertical line all the way through the line. If that point passes through any other points, that it is not a function. Number four doesn’t pass the vertical line test, so it’s not a function.


Related Questions

The equation is:

Answer: the number of labor was :

The equation is:Answer: the number of labor was :

Answers

Answer:

equation: 1368 = 380 +52xlabor hours: 19

Step-by-step explanation:

The desired equation will relate labor cost, parts cost, and total cost.

A.

The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.

  total cost = part cost + (labor rate)(labor hours)

  1368 = 380 + 52x

__

B.

This equation can be solved in 2 steps:

  988 = 52x . . . . . . . step 1, subtract 380 from both sides

  19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x

The number of labor hours was 19.

Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.

a) (0.625)(0.42)2

b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

c) (1.6)(0.42)2

d) 0.11

Answers

The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

Exponential

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

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Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

a) In GeoGebra Links to an external site., construct a triangle (e.g. ABC), find the measure of all angles and all sides. Identify the type of your triangle (acute, right, obtuse/ scalene, isosceles, equilateral). Then construct a quadrilateral (e.g. DEFG), measure all angles and all sides. Identify the type of your quadrilateral (irregular, square, rectangle, etc.) Use the text command available in GeoGebra to describe the type.

b) Make a screenshot of your work in Geogebra and insert in the space provided below.

Answers

All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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Kaylee read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Kaylee read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as

Answers

If Kaylee read 1 book in 4 months, this means that in 1 month, she read 1/4 of the book. We can see this in the following figure:

Kaylee read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as


Please help solve this for me

Please help solve this for me

Answers

Answer:

i believe the answer would be option D

Step-by-step explanation:

Problem Andrey works at a call center, selling insurance over the phone. While debating which greeting he should use when calling potential customers — "Howdy!" or "Hiya!" — he decided to conduct a small study. For his subsequent 500500500 calls, he chose one of the greetings randomly by flipping a coin, and used the same script for his sale otherwise. Then, he compared the percentage of calls he succeeded in selling insurance using each greeting. He noticed that he was significantly more likely to make a sale in calls that started with "Hiya!" Can we conclude that the greeting caused the difference in sales? Why? Choose 1 answer:

Answers

Answer:

Yes, because the calls were each randomly assigned a greeting.

Step-by-step explanation:

It is given that Andrew who works at the call center of an insurance company, decided to conduct a small survey on how to greet the potential customers while calling.

For this, he uses his 500 subsequent calls and he chooses to greet his customers randomly as "Howdy" or "Hiya".

Since the selection bias is ruled out, the calls were randomly assigned for the greetings. Thus the greetings caused a difference in sales.

Answer:

Yes, because the calls were each randomly assigned a greeting

Step-by-step explanation:

Random assignment to treatment groups makes this study an experiment, so we can make causal conclusions.

Which of the following best describe this graph?

skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier

Which of the following best describe this graph?skewed leftskewed rightuniform distributioncenter near

Answers

The term that  best describe this graph attached is

does not have an outlier

What is outlier?

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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The length of two side of a triangle are 3cm and 7cm . What’s can you conclude about the third side of the triangle?

Answers

The length of the third side of the triangle must be less than the sum of the two other sides given.

k < 10 cm.

What are the possible lengths of the triangle?

The possible lengths of the triangle is determined from the rules of length of a triangle.

The rule of lengths of triangle states that the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides.

Let the third side of the triangle = k

The possible values of k is determined as;

k < ( 3 cm + 7 cm)

k < 10 cm

Thus, the length of the third side of the triangle must be less than the sum of the two other sides given.

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Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
С
В.
36 cm
E
20 cm

Use similar triangles to calculate the height, h cm, of triangle ABE.10 cm.36 cmE20 cm

Answers

Answer:

24 cm

Solution,

from the figure,height of DBC=36-h

Now,in two similar triangles, ratio of corresponding sides are equal to ratio of their heights.

Since, DBC~EBA

\( \frac{36 - h}{h} = \frac{dc}{ae} \\ or \: \frac{36 - h}{h} = \frac{10}{20} \\ or \: 20(36 - h) = 10 \times h(cross \: multiplication) \\ or \: 720 - 20h = 10h \\ or \: - 20h - 10h = - 720 \\ or \: - 30h = - 720 \\ or \: h = \frac{ - 720}{ - 30} \\ h = 24 \: cm\)

Height of ABE =24 cm

hope this helps...

Good luck on your assignment...

Answer:

24cm

Step-by-step explanation:

ASAP . Solve and graph each inequality

ASAP . Solve and graph each inequality

Answers

x less than or equal to-24

Answer:

x less than or equal to -24

graph attached

Step-by-step explanation:

attached in image

ASAP . Solve and graph each inequality

Learning Task 1: Read and solve the following problems. Use the 4-Step Plan by supplying the needed information in each letter below. 1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the 2 parallel sides is 8 meters. What is the area of the lot? 2. A triangular landscape has a base of 24 meters and a height of 12 meters. Find its area. 3. A trapezoidal lawn has an upper base of 16 meters and a lower base is 30 meters. The distance between the parallel bases is 10 meters. If the lawn is to be planted with Bermuda grass, how many square meters of Bermuda grass will be needed 4. A rectangular banner has a length of 5 meters and a width of 3 meters. Find the area. 5. What is the area of a soccer ground square in shape with a side of 8 meters? A = G= O= N= S = och sa A= och *You will use the letters in each problem above

Answers

The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².

How to calculate the area?

Area of a parallelogram will be:

= Base × Height

= 20 × 8

= 160m²

The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:

= 1/2 × base × height

= 1/2 × 24 × 12

= 144m²

The area of the trapezium will be:

= 1/2 × (a + b) × h

= 1/2 × (16 + 30) × 10

= 1/2 × 46 × 10

= 230m²

The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:

= Length × Width

= 5 × 3

= 15m²

The area of a soccer ground square in shape with a side of 8 meters will be:

= 8 × 8

= 64m²

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Mitchell plans to use ASA to prove that two triangles made from a rectangular piece of wood are the same. Which diagram would support his plan to use ASA?

Answers

The solution is given below.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

According to this, the correct answer is: given below.

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Mitchell plans to use ASA to prove that two triangles made from a rectangular piece of wood are the same.

The ratio of top dogs to fat cats was 24 to 19. if they were 152 fat cats, how many top dogs were there?

Answers

The ratio shows how many times one value is contained in another value.

The number of top dogs is 192.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of top dogs to fat cats was 24 to 19.

if they were 152 fat cats.

This means,

Number of top dogs = 24x

Number of fat cats = 19x

Now,

Number of fat cats = 152

This means,

152 = 19x

x = 8

Now,

Number of top dogs = 24x

= 24x

= 24 x 8

= 192

Thus,

The number of top dogs is 192.

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You insure your home for $125,000. You want to be safe and add coverage on the contents, so you take 55% on the contents. How much coverage will you have on the contents of your home?

Answers

The amount of coverage that you will have on the contents of your home would be = $68,750

How to calculate the amount of coverage for contents of your home?

The total amount of money that was insured for the house = $125,000

The percentage of insurance that was left for the contents of the house = 55% of insurance.

That is;

= 55/100 × $125,000

= 6875000/100

= $68,750.

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help me out please!!!!​

help me out please!!!!

Answers

Answer:

I believe the Answer is C.

Step-by-step explanation:

Which is NOT a liability?

A. Debt owed by a business
B. Debt that must be paid within the current year
C. Debt that must be paid after the current year
D. Machines, vehicles, furniture and appliances

Answers

Answer:

D. Machines, vehicles, furniture, and appliances are not considered liabilities. Liabilities are obligations or debts that a business owes to others. They are usually in the form of loans or accounts payable and represent money that must be paid in the future.

Machines, vehicles, furniture, and appliances are assets, which are resources that a business owns and that have monetary value. Assets can be sold to generate cash or used to produce goods or provide services. While assets can be used to secure loans, they do not represent a debt or obligation that must be paid in the future like a liability

Answer:

D

Step-by-step explanation:

current liability is money owed to suppliers in the form of accounts payable . Current liabilities are typically settled using current assets, which are assets that are used up within one year.

Find the size of angle x

Find the size of angle x

Answers

Answer:

x=35°

Step-by-step explanation:

Angles that meet at a point sum up to 360°

x+3x+220=360°

4x=360-220

4x=140

x=35°

Answer:

35 degrees.

Step-by-step explanation:

There are 360 degrees in a circle so:

220 + x + 3x = 360

4x = 360 - 220

4x = 140

x = 140/4 = 35 degrees

HELP HELP HELP

A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along the two sides of it? Round to the nearest tenth if necessary.

Answers

The absolute value of this difference is 18 miles, so the walk diagonally across the rectangle park is approximately 18 miles shorter than walking along the two sides of it.

What is rectangle ?

A rectangle is just a square with four perpendicularly in the Euclidean plane. An equiangular quadrant or a quadrant that appears to have identical angles are other names for it. A straight angle is another choice for the parallelogram. A square has four edges that are the same length. Quadrilaterals with four equal edges and four 90° edges are called rectangles. As a consequence, it is occasionally referred to as a "equirectangular square".

Here,

The length of the diagonal of the rectangle can be found using the Pythagorean theorem:

d = √(8^2 + 6^2) ≈ 10

So the length of the diagonal is approximately 10 miles.

To find the distance of walking along the two sides of the rectangle, we can use the formula for the perimeter of a rectangle:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we have:

P = 2(8) + 2(6) = 28

So the distance of walking along the two sides of the rectangle is 28 miles.

The difference between walking along the two sides and walking diagonally can be found by subtracting the distance of walking along the two sides from the length of the diagonal:

10 - 28 ≈ -18

The absolute value of this difference is 18 miles, so the walk diagonally across the park is approximately 18 miles shorter than walking along the two sides of it.

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19 students were surveyed on the number of hours of Netflix they watched last week.

The data from the survey is below:

{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}

What is the range in hours spent watching Netflix?

Show your work for full points!

Answers

Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Answer:

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

Y=x^3-4x^2-20x+48 use the rational zero theorem

Answers

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

How to use the rational zero theorem?

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?

Answers

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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which one of the following is always correct for a rhombus?

A. only adjacent sides have equal length and opposite sides are NOT parallel

B. All sides have equal length and opposite sides are NOT parallel

C. only opposite sides have equal length and opposite sides are parallel

D. all sides have equal length and opposite sides are parallel

Answers

Answer:

C. only opposite sides have equal length and opposite sides are parallel

Step-by-step explanation:

Which Inequality is shown on the accompanying graph (image included)
If you can, pls explain :’)

Which Inequality is shown on the accompanying graph (image included)If you can, pls explain :)

Answers

Answer:

4. x ≥ -1

Step-by-step explanation:

The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.

Therefore, we can say x is greater than or equal to -1.

This is represented as:

x ≥ -1

Calculate the equivalent ratio 1.25 : 3.75 : 7.5

Answers

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.


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Which statement best summarizes the relationship between investments and productivity?
A. Companies with high levels of productivity are the most likely to need investment.
B. Companies must choose between high levels of productivity and large investments. C. Companies use investments to pay for services that improve their productivity.
D. Companies use investments to avoid the need to increase overall productivity.

Answers

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

What are investments?

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?

Answers

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Students at a local community college have G.P.A.s that are normally distributed with a mean of 2.8 and a standard deviation of 0.5.

Answers

The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How to calculate the percentage?

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

5. Sarah and Aarnav had a 3-layer wedding cake made for their wedding. Each layer was 6 inches in height. The lower layer had a diameter of 12 inches, while the middle layer had a radius of 5 inches. The top layer had a diameter of 8 inches.


a) Calculate the total volume of cake to the nearest cubic inch. (3 marks)











b) The baker who made the cake needed to calculate the total surface area of the outside of the cake to the nearest square inch to find out how much icing to buy. The baker will not be icing the bottom of any of the layers of cake. However, the baker will ice the top and sides of each layer separately and then stack the three layers of cake. Calculate the surface area of the cake that the baker plans to ice to the nearest square inch. (3 marks)












c) The baker bought the buttercream icing from Crave Cupcakes. Using your surface area calculation from part b, calculate how many containers of icing the baker needs to buy in order to ice Sarah and Aarnav’s cake. Each container of icing contains 16 ounces of icing. If it takes 56 ounces of icing to cover 678 square inches of cake, calculate the total cost for the icing before tax if each 16-ounce (2 cup) container of icing costs $10. (3 marks)

Answers

Answer:

Total volume of cake = 1452 cubic inches

Step-by-step explanation:

Each layer of the cake has a cylindrical shape, so that:

volume of a cylinder = \(\pi\)\(r^{2}\)h

Where r is the radius and h represents the height.

i. For the lower layer;

h = 6 inches and r = 6 inches

volume = \(\pi\)\(r^{2}\)h

            = \(\frac{22}{7}\) x \((6)^{2}\) x 6

            = 678.86 cubic inches

ii. For the middle layer;

h = 6 inches and r = 5 inches

volume = \(\pi\)\(r^{2}\)h

             = \(\frac{22}{7}\)x \((5)^{2}\) x 6

            = 471.43 cubic inches

iii. For the top layer;

h = 6 inches and r = 4 inches

volume = \(\pi\)\(r^{2}\)h

             = \(\frac{22}{7}\) x \((4)^{2}\)x 6

             = 301.71 cubic inches

Total volume of cake = 678.86 + 471.43 + 301.71

                = 1452 cubic inches

Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7

Answers

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Aaron wraps present in a store. In one hour, he wraps 8 games and one console. How much wrapping paper does Aaron use? How much wrapping paper does Aaron use? Use exercises 1-3 to answer the question.

Aaron wraps present in a store. In one hour, he wraps 8 games and one console. How much wrapping paper

Answers

The wrapping paper used by Aaron is 9 and 2/3 feet of paper

Finding the amount of wrapping paper used:

To solve this problem, use the given information about how much wrapping paper is needed for each game and gaming console, and then multiplied by the number of games and consoles that Aaron wraps in one hour. For simple calculation convert mixed fractions into an improper fraction and solve the problem.

Here we have

Aaron wraps present in a store. In one hour, he wraps 8 games and one console.

From the given figure,

Each game takes 2/3 foot of wrapping paper

Each gaming console takes 4 1/3 feet of wrapping paper

From the data

Aaron wraps 8 games in 1 hour

The wrap is used for 8 games = 8 × [ 2/3 foot ] = 16/3 foot

He wraps one console.

The wrap used for 1 console = 4 1/3

Here 4 1/3 = 13/3  [ Converting mixed fraction to improper fraction ]

Hence,

Total amount of wrap used = 16/3 + 13/3

= [ 16 + 13]/3 = 29/3 = 9 2/3  

Therefore,

The wrapping paper used by Aaron is 9 and 2/3 feet of paper

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