A cylinder is sliced in such a way that the plane cuts in a direction perpendicular to the base,what is the resulting cross section?

The quotient include the following: D. \(\frac{x(2x-3)}{7}\)

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{2x-3}{x} \div \frac{7}{x^2}\)

By rearranging the mathematical expression using the multiplication operation, we have:

\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)

Read more on quotient here: brainly.com/question/748723

#SPJ1

Answer:

Step-by-step explanation:

Ok:

First Problem with coin!

1. A coin has 2 sides and one of them is going to land up or down which means it has a chance of 1 out of 2.

1 out of 2=

1/2= 50%

Second Problem with spinner

2. There are 12 spaces on the spinner and three of those spaces are blue.

SO: 3 out of 12=

3/12=

1/4=

25%

Answers: 50% and 25%

IN FRACTION FORM: 1/2 and 1/4

Answer: He plans to buy 28 tiles.

Step-by-step explanation:

Given: Dimensions of floor = 6-by-5 feet

Since area of rectangle = length x width

Then , area of floor = 6 x 5 square feet = 30 square feet

Dimension for vanity  2-by-2.5-feet , area of vanity = 2 x 2.5 sq. feet = 5 sq. feet

Area of floor for tiling = 30 square feet -  5 sq. feet

= 25 square feet

Area of 1 tile = 1 x 1 = 1 square  feet

Number of tiles required to cover 25 sq. feet =  25÷1=25

10 percent extra = 10% of 25+25 = 2.5+25=27.5 ≈28

Hence, he plans to buy 28 tiles.

Based on the information in the graph, it can be inferred that team B scores 4 more goals per game.

To compare the populations using measures of center and median we must carry out the following procedure:

Team A

Median = 3

Q₁ = 2

Q₃ = 4

IQR = Q₃ - Q₁ = 4 - 2 = 2

Team B

Median = 7

Q₁ = 6

Q₃ = 8

IQR = Q₃ - Q₁ = 8 - 6 = 2

According to the information above, the variation in goals scored is the same. However, team B usually scores 4 more goals than team A for each game.

Additionally, the difference in the mean of these two values is 2.

Note: This question is incomplete. Here is the complete information:

Attached image

Learn more about hockey in: https://brainly.com/question/30064061

#SPJ1

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

To know more about probability visit

https://brainly.com/question/13604758

#SPJ11

The food that the former world record holder should eat per day is 0.33kg.

The first step is to determine the ratio of the smallest horse's food per day to the height of the horse. This can be determined by dividing the food eaten per day by the height of the horse.

Division is the operation used in mathematics that is used to determine the quotient of two or more numbers

Ratio of the height and food eaten per day = 0.3 / 42.5

The next step is to multiply the ratio gotten in the previous step by the height of the former world holder

Food the former holder should eat = (0.3 / 42.5) x 46.25 = 0.33 kg

To learn more about ratios, please check: https://brainly.com/question/11911538

#SPJ1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Graph

Center = ( - 7 , 2)

Radius = 2

equation of the circle = ?

Step 02:

equation of the circle

(x - h) ² + (y - k) ² = r ²

( h , k) = ( - 7 , 2)

r = 2

( x - (-7)) ² + (y - 2)² = 2 ²

(x + 7)² + (y - 2)² = 4

The answer is:

The equation of the circle is (x + 7)² + (y - 2)² = 4

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 5 and the y-intercept is -1. Therefore, the equation of the line is:

y = 5x - 1

This means that for any value of x, we can find the corresponding value of y on the line by plugging in x and solving for y. For example, if x = 2, then:

y = 5(2) - 1 = 9

So the point (2, 9) is on the line.

Answer:

B or 2 topical

Step-by-step explanation:

Hope this helps :D

and feel free to click that thanks button

Among the poor, the largest single age group is d) children.

The Census Bureau data can provide insights into the demographics and characteristics of different population groups, including those living in poverty. Based on this data, we can determine the largest single age group among the poor.

When considering poverty, it is important to analyze the age distribution of individuals in poverty to understand which age group is the most prevalent. The options provided are middle-aged men, young able-bodied adults, senior citizens, and children.

Typically, children have been found to be the largest single age group among the poor. This can be attributed to factors such as the dependence on adults for financial support and limited earning opportunities.

While other age groups may also experience poverty, such as young adults facing challenges in finding stable employment or senior citizens living on fixed incomes, census data indicates that children are often disproportionately affected by poverty.

Therefore, based on the Census Bureau data, the largest single age group among the poor is d) children.

Learn more about Census Bureau data:

brainly.com/question/28341588

#SPJ11

Answer: 3.5

Step-by-step explanation: Find the two middle numbers, 3&4, then add, 3+4=7, then divide by 2, 7/2 = 3.5, and now you have your median! 3.5!!

f(n)=2.55+3.75(n), n>0

Answer:

SR= 2.55

GC=3.75

n=?

n rep number of games

SR shoe rental

GC Game cost

f(n)=2.55+3.75n

2.55=3.75n

n=2.55÷3.75

n=0.68

Answer: Let's start by finding out the distance covered on paved and unpaved roads respectively.

Distance covered on paved road = 67.5% of 540 km = 0.675 x 540 = 364.5 km

Distance covered on unpaved road = 32.5% of 540 km = 0.325 x 540 = 175.5 km

Let the speed of the car on unpaved roads be x km/h. Then, the speed of the car on paved roads will be (x + 25) km/h.

Now, let's use the formula:

time = distance / speed

We know that the total time taken to cover the entire road is 10 hours.

So,

time taken on paved road + time taken on unpaved road = 10

or,

364.5 / (x + 25) + 175.5 / x = 10

Simplifying this equation, we get:

7.29x + 182.25 = 10x + 725

2.71x = 542.75

x ≈ 200

Therefore, the speed of the car on unpaved roads is 200 km/h, and the speed of the car on paved roads is 225 km/h (x + 25).

Step-by-step explanation:

The table of values is a linear equation which is given as y = -7/2x + 2

A linear function is a mathematical function that represents a straight line when graphed on a coordinate plane. It is a type of function where the independent variable (usually denoted as x) has a constant rate of change with respect to the dependent variable (usually denoted as y).

The slope-intercept form of a linear equation is given as;

y = mx + c

From the table of value given;

f(x) = mx + c

Let's calculate the slope of the equation;

m = y₂ - y₁ / x₂ - x₁

m = 2 - 9 / 0 - (-2)

m = -7 / 2

The slope is -7/2

Taking the slope to find the linear equation;

y = mx + c

Taking any point;

9 = -7/2(-2) + c

9 = 7 + c

c = 2

The equation is y = -7/2 + 2

Taking another point to confirm our answer;

2 = -7/2(0) + c

c = 2

This shows the values is a linear equation;

learn more on linear equations here;

https://brainly.com/question/18831322

#SPJ1

Answer:

25.2 miles per gallon

Step-by-step explanation:

\(\frac{31.5}{1.25}\)

The perimeter of her garden is 4g² -34g - 2 cm.

It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:

In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.

The perimeter will be:

= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.

= 4g² -34g - 2

The perimeter is (4g² -34g - 2)cm.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

Answer:

28 mpg

Step-by-step explanation:

Answer:

The answer is

\( \huge g(3) = - 3\)

Step-by-step explanation:

\(g(x)= -2x +3\)

To find g(3) , substitute the value of x that's 3 into g(x). That is for every x in f(x) , replace it with 3

We have

\(g(3) = - 2(3) + 3 \\ \: \: \: \: = - 6 + 3 \\ \)

We have the final answer as

\(g(3) = - 3\)

Hope this helps you

Answer:

New selling price= $14.4

Step-by-step explanation:

Giving the following information:

The store offers a 20% discount. The regular price of a T-shirt is $18.

To calculate the discounted selling price, we need to use the following formula:

New selling price= selling price*(1 - discount rate)

New selling price= 18*(1-0.2)

New selling price= $14.4

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

To know more about differential visit :

https://brainly.com/question/31383100

#SPJ11

Answer:

\((6, -1)\)

Skills needed: Solutions of a System

Step-by-step explanation:

1) We are given a system of equations on a graph, and we have to determine the solution of this system with this.

- The important thing to know: The solution of a system is the intersection point of the lines.

---> In this problem, we are given two lines, the blue line, and the red line, and the solution would be when these two lines cross each other.

2) We can see that the point where they cross each other based on the graph. The graph is a useful visual aid. Check the diagram attached to see the intersection point.

3) So, based on the diagram I have attached, you see the point. When going left to right, that is the \(x-axis\), and up and down is the \(y-axis\).

--> When going left to right, the value of the point of intersection is \(6\).

--> When going up and down, the value of the point of intersection is \(-1\).

\((x, y)\) is the way to put the coordinate point

--> \(x\) is the \(x-axis\) value

--> \(y\) is the \(y-axis\) value

Therefore, \((6, -1)\) would be the answer.

Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

Learn more about insurance company here:

https://brainly.com/question/32110345

#SPJ11

We will use the formula for a confidence interval for the population mean to determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ, and we found that it represents a 95% confidence interval.

In statistics, confidence intervals are used to estimate the range of values that a population parameter is likely to fall in. A confidence interval is an interval estimate computed from a sample of data, which is used to describe the range of plausible values of the population parameter. In this scenario, we have a sample of 203 adults who were asked how long they slept last night. We are given the mean and standard deviation of their responses, and we are asked to determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ.

To determine the confidence level associated with a confidence interval of 6.42 ± 0.1916 for the population mean μ, we need to use the formula for a confidence interval for the population mean:

Confidence Interval = mean ± Zα/2 * (σ / √n) where: sample mean, Zα/2 = the critical value of the standard normal distribution at the desired confidence level (α) divided by 2, σ = population standard deviation (which we estimate using the sample standard deviation, s), n = sample size

In this scenario, first, we need to find the critical value of the standard normal distribution at the desired confidence level (α) divided by 2. We can use a standard normal distribution table or a calculator to find this value. For example, if we want a 95% confidence interval, α = 0.05, and the critical value is Zα/2 = 1.96.

Next, we can substitute the values into the formula and solve for the confidence interval: 6.42 ± 1.96 * (1.56 / √203) = 6.42 ± 0.1916

We can see that the interval 6.42 ± 0.1916 represents a 95% confidence interval for the population mean μ. This means that if we were to take multiple random samples of the same size from the population and calculate their confidence intervals, about 95% of these intervals would contain the true population mean.

For more such questions on Confidence Interval.

https://brainly.com/question/29680703#

#SPJ11

The calculated value of the side length in the triangle is 144

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

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

Read more about triangle at

brainly.com/question/14285697

#SPJ1

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

Learn more about cyclic group here -: brainly.com/question/30697028

#SPJ11

According to the information provided, k and m are crossing lines with an angle of 86°. We know this because k and m are straight lines.

The angles add up to 180 degrees.

Then we receive,

\(a + 86 =180\)

Or, a = 180 -86

Or, a = 94°.

As a result, an is 94°.

The angle an is 94 degrees.

Supplementary angle are formed when two angles add to 180 degrees. When additional angles are added together, they form a straight angle, or 180 degrees. In these other words, if indeed the sum of angles 1 and 2 equals 180 degrees, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" to one another in this context.

To know more about angle click here

brainly.com/question/29015700

#SPJ9

The surface area of a cone is 103.6 in².

Option B is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

Cone:

Diamter = 6 in

Radius = 3 in

Slant height.

s = 8 in

Now,

The surface area of a cone.

= πrs + πr²

= πr (s + r)

= 3.14 x 3 (8 + 3)

= 3.14 x 3 x 11

= 103.62 in²

Thus,

103.62 in² is the surface area of a cone.

Learn more about cones here:

https://brainly.com/question/13798146

#SPJ1

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

\(186.5\div 28.5\) = 6.54

And,

\(187.5\div 27.5\) = 8.81

So, The value of c for the David journey is 7.

Learn more about distance here: https://brainly.com/question/23561100

Total amount of ground beef is 7.5 lbs

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.

Total people = 40

Number of each ingredient

= 40 / 8

= 5

b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,

So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ4

Your question is incomplete, probably the complete question/missing part is:

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:

• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5

• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?

Answer:

step by step explanation !!

Step-by-step explanation:

hope it help!!