use the general slicing mothod to find the volume of the following solid. The solid with a semicircular base of radius 9 whose cross section is perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.

Answer:

Step-by-step explanation:

Alice starts with 11 cards and buys 1 per day. Benito starts with 1 card and buys 3 per day. You want equations for Alice and Benito that describe the number of cards they have (y) in terms of the number of days (x) that have passed. you also want graphs of these equations and when and where the numbers of cards are the same.

It really should be no mystery that the number of cards will be the sum of the initial number and the product of the number of days and the number of cards acquired each day:

Alice: y = 11 +1x

Benito: y = 1 +3x

See the attachment for a graph and the point where the graphs intersect:

  x = 5, y = 16 . . . . . both have 16 cards after 5 days.

__

Additional comment

The equations are defined for negative x- and y-values, but in the context of this problem the only values that make sense are ones where x ≥ 0 and y > 0.

The yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

Given is that yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls.

We can write the relation as -

2x - 9 + x = 639

3x - 9 = 639

3x = 648

x = 216

So, we can write -

2x - 9 = 2 x 216 - 9 = 532 - 9 = 523

Therefore, the yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ1

The solution is Option B.

The system of equations is solved and the value of x and y is ( 3 , 7 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

-2x + 3y = 15   be equation (1)

Let the first equation be represented as B

Now , the value of B is

x + y = 10   be equation (2)

On simplifying the equation , we get

Subtracting y on both sides of the equation , we get

x = 10 - y   be equation (3)

Substituting the value of x from equation (3) in equation (2) , we get

-2 ( 10 - y ) + 3y = 15

On simplifying the equation , we get

-20 + 2y + 3y = 15

Adding 20 on both sides of the equation , we get

5y = 35

Divide by 5 on both sides of the equation , we get

y = 7

Substitute the value of y in equation (3) , we get

x = 10 - 7

x = 3

Hence , the value of x and y is 3 and 7 respectively

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

Option B: (3, 7)

Step-by-step explanation:

i took the test xx

There were 128 children and 155 adults.

Let us first set up our system by assigning x and y to mean something. Let x = the number of children and y = the number of adults.

First equation: Children cost $1.50 and Adults cost $4.00. In order to find the amount of money a group of children will cost, we multiply the number of children, x, by 1.5.

This is represented by 1.5x. For adults, who cost 4 dollars to enter, we will use 4y. The total amount of money made on the given day was $632. To get this amount, we must add 1.5x and 4y.

1.5x+4y=632 --------(1)

Second equation: Total amount of people on the given day is 238. To get this number, we must add together x and y, or the number of children and adults.

x + y = 238-----(2)

System of equations:

1.5x+4y=632

x+y = 238

Let's use the substitution of the x variable to solve the system.

x+y=238.

y=238-x

Substitute y = 238 - x into the first equation.

1.5x + 4 (238 - x) =632

1.5x + 952 - 4x = 632  

952- 2.5x = 632

-2.5x = -320

x = 128

Substitute x =128 back into y = 238 - x

y = 283-128

y=155

There were 128 children and 155 adults.

To know more about the System of equations:

https://brainly.com/question/28405823

#SPJ4

if |v| = 4 and |w| = 7, what are the smallest and the largest possible values of |v − w|

smallest and the largest possible values of v · w

v and w are vectors, not numbers. v*w indicates the dot product of these vectors and l v l and l w l their magnitudes.

Assuming v and w are vectors with any direction but with definite magnitudes

||v − w|| ≤ ||v|| + ||w|| = 11

and ||v − w|| ≥ ||v|| − ||w||| = 3,

while

|v · w| = ||v||||w|| cos θ ≤ ||v|| · ||w|| = 28,

so −28 ≤ v · w ≤ 28.

To know more about Vector visit brainly.com/question/23025353

#SPJ4

If the dot indicates the center of the circle, the equation that must be true is

The diameter of the semicircle is shown by line segment bearing the dot at the center.

By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.

This mean that angle B = angle A = 90 degrees

hence there addition is 180 degrees

Learn more about angle in a semicircle at:

https://brainly.com/question/11983357

#SPJ1

the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1. Therefore, the value of x for which[tex]f'(x)=0 is x = 0.[/tex]

To find the value of x for which[tex]f'(x)=0[/tex], we need to differentiate the given function.

[tex]f'(x) = (e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x))[/tex]

Now, set [tex]f'(x) = 0[/tex]and solve for x.

[tex](e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x)) = 0(e-1)(π/2)(ex) = (sin(π/2x))ex = (sin(π/2x))/(e-1)(π/2)[/tex]

Taking natural log on both sides

[tex]xln(e) = ln(sin(π/2x)) - ln((e-1)(π/2))xln(e) = ln(sin(π/2x)) - ln(e-1) - ln(π/2)x = (ln(sin(π/2x)) - ln(e-1) - ln(π/2))/ln(e)[/tex]

Since the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1.

Therefore, the value of x for which [tex]f'(x)=0 is x = 0.[/tex]

learn more about function here

https://brainly.com/question/12431044

#SPJ4

1. Factor out the greatest common factor (GCF) from the coefficients.

2. Split the middle coefficient into two factors that add to the middle coefficient and multiply to the last coefficient.

1. First, identify the GCF of the coefficients, which is 1. Since there is no GCF, this step can be skipped.

2. Next, split the middle coefficient (17) into two factors that add to the middle coefficient and multiply to the last coefficient.

Since 17 = 8 + 9, we can use 8 and 9 as our two factors.

3. Group the terms by the common factors.

We can group the first and last term together (6x2 + 5) and the middle term separately (17x).

4. Factor out the common factor, which is x, from the first and last group. This gives us x(6x + 5).

5. Lastly, factor the remaining quadratic expression (6x + 5).

Since 8 and 9 are the two numbers that add to the middle coefficient and multiply to the last coefficient, we can use them as our two factors. This gives us (6x + 8)(x + 9).

Therefore, the factored form of 6x2 + 17x + 5 is x(6x + 8)(x + 9).

To learn more about coefficient refer :

https://brainly.com/question/28975079

#SPJ4

They need to ride "x = 20 - (hours a first day + hours second day)" on the third day to make their goal of biking a total of 20 hours in the park.

Let's call the number of hours Rebecca and Dan rode on the third day "x".

Then, the total number of hours they rode in the park is given by:

total hours = hours first day + hours second day + x

And, we know that their goal is to bike a total of 20 hours in the park, so we can set the equation equal to 20:

total hours = hours first day + hours second day + x = 20

We can substitute in the values for hours first day and hours second day:

20 = hours first day + hours second day + x

So, to find the number of hours they need to ride on the third day to reach their goal, we just need to solve for x:

x = 20 - (hours first day + hours second day)

We would need to know the values for hours first day and hours second day to find the exact value of x.

For more questions on Linear Equation

https://brainly.com/question/28732353

#SPJ4

The price of a t-shirt is $43.50.

Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".

For David:

4t + 3j = 181

For Jennifer:

t + 2j = 94

We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:

3t + j = 87

Next, we can substitute the second equation into the third equation to eliminate t:

3(t + 2j) = 3 * 94 = 282

Expanding the left side, we have:

3t + 6j = 282

Subtracting j from both sides:

3t + 5j = 282 - j

Combining like terms:

3t + 6j = 282

Subtracting the first equation from the third equation:

2t = 181 - 94

Combining like terms:

2t = 87

Finally, solving for t:

t = 87 / 2 = 43.5

The price of a t-shirt is $43.50.

To learn more about the equation, visit:

brainly.com/question/14686792

#SPJ4

The price of a t-shirt is $43.50.

Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".

For David:

4t + 3j = 181

For Jennifer:

t + 2j = 94

We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:

3t + j = 87

Next, we can substitute the second equation into the third equation to eliminate t:

3(t + 2j) = 3 * 94 = 282

Expanding the left side, we have:

3t + 6j = 282

Subtracting j from both sides:

3t + 5j = 282 - j

Combining like terms:

3t + 6j = 282

Subtracting the first equation from the third equation:

2t = 181 - 94

Combining like terms:

2t = 87

Finally, solving for t:

t = 87 / 2 = 43.5

The price of a t-shirt is $43.50.

To learn more about Equation:

brainly.com/question/14686792

#SPJ4

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.

P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2

1. P(X > Y) = 1 - P(X ≤ Y)

2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)

3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)

4. P(X ≤ Y) = 1 - P(X > Y)

5. P(Y ≤ X) = 1 - P(Y > X)

6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)

7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2

8. P(X > Y) = e^(-(λ1 + λ2)t)/2

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus [tex](1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.[/tex]

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

Learn more about stimuli at:

https://brainly.com/question/25783927

#SPJ1

When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.

This means that there is no solution for the equation Ax=b for that specific b, making the system inconsistent.

Generalizing this argument to the case of an arbitrary A with more rows than columns, if the number of rows in A is greater than the number of columns, the reduced row echelon form of A will have at least one row of all zeros, and the corresponding equation in Ax=b will have no solution, making the system inconsistent for that specific b.

Hence, the correct answer is B.

To Know more about row echelon​ form, here

https://brainly.com/question/13391712

#SPJ4

--The given question is incomplete; the complete question is

"Let A be a 3 times ×2 matrix. Explain why the equation Ax=b cannot be consistent for all b in a set of real numbers R3.

Generalize your argument to the case of an arbitrary A with more rows than columns.

Why is the equation Ax=b not consistent for all b in a set of real numbers R3​?

A. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one column of all zeros. Since there is not a pivot in every​ column, the matrix cannot be consistent.

B. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.

C. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with infinitely many solutions.

D. When written in reduced row echelon​ form, any 3 ×2 matrix will have a pivot in every row. Because there are more rows than​ columns, this is too many​ pivots, and the system will be inconsistent."--

The value of (16^x)/(2^y) if 4x-y=12 is 4096.

Therefore the answer is 4096.

We are given the equation 4x - y = 12. To find the value of (16^x)/(2^y), we need to find the values of x and y. To do this, we can isolate either x or y and solve for it:

4x - y = 12

y = 4x - 12

We can substitute the expression for y into the expression for (16^x)/(2^y) to find the value:

(16^x)/(2^y) = (16^x)/(2^(4x - 12)) = (16^x)/(2^(4x)) * (2^12)

Note that 2^4 = 16, so (16^x)/(2^4x) = 1, which means that (16^x)/(2^y) =2^12.

Therefore, the value of (16^x)/(2^y) is 4096.

--The question is incomplete, answering to the question below--

"If 4x-y=12, then what is the value of (16^x)/(2^y) "

To know more on exponential

https://brainly.com/question/29789897

#SPJ4

The starting value of the expression is, y = 3.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ y = 3 × q⁵

Now, For starting value substitute q = 1 in above equation,

⇒ y = 3 × q⁵

⇒ y = 3 × 1⁵

⇒ y = 3 × 1

⇒ y = 3

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

The final price is 97.714% of the original price. To the nearest whole number, that's 98%.

Let's call the final price of the bed "x".

       $350 * 0.15 = $52.50$ discount

       $297.50 * 0.15 = $44.63 markup

       $342.13 / $350 = 0.97714

So, the final price is 97.714% of the original price.

To the nearest whole number, that's 98%.

The method used to solve this problem is applicable to a wide range of similar problems in pricing and discounting, as well as in finance and economics. This method can be used to calculate the final price of an item after applying a discount followed by a markup, or to find the original price of an item given the final price and the discount and markup amounts. The method can also be extended to problems with multiple discounts or markups, as well as problems involving different discount or markup percentages.

Learn more about Percent After Markup Bed here:

https://brainly.com/question/29233772

#SPJ4

No, the mean of 13.513.5 does not make sense because it is not a whole number.

The mean of a set of numbers is calculated by adding up all of the numbers in the set and then dividing by the total number of items in the set. The mean is a representation of the average of the data set. It is important to note that the mean should always be a whole number, since it is an average of the values in the set. Therefore, the mean of 13.513.5 does not make sense because it is not a whole number. A whole number mean indicates that the values in the set are all the same, or at least very close, while non-whole number means indicate that there is a greater difference between the values in the set. This is why it is important to make sure the mean of a data set is a whole number.

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

The complete question is

Does the value of the mean of x make sense? the mean of 13.513.5 does not make sense because it is not a whole number

The probability that the proportion of students who plan on majoring in a branch of STEM is greater for Ms. Keating than for Ms. Lewis can be found by looking up the z-table. This can be done by finding the standard deviation for the difference between the two proportions, which is calculated by (55-49)/sqrt(25+23). This gives a standard deviation of 0.6.

The probability of the proportion being greater for Ms. Keating can be found by taking the difference between the two proportions (0.06) and subtracting it from 1 (1-0.06). This gives a probability of 0.94, which can be found on the z table as 0.841. This means that the probability of the proportion of students who plan on majoring in a branch of STEM being greater for Ms. Keating than for Ms. Lewis is 0.841.

To learn more about probability:

https://brainly.com/question/25839839

#SPJ4

The 10-year to 3-month term premium will be 0.079%.

Now, According to the question:

The premiums that are the regularly scheduled installments that are finished to pay the inclusion of the insurance contract are less expensive in term life coverage than in real money life coverage as the term just covers the recipients for the period the contract is purchased for instance: a half year. On the off chance that the individual who claims the arrangement passes on in a half year, the insurance agency needs to pay the recipients the capital set in the strategy.

Anyway assuming the individual passes on after the a half year or doesn't bite the dust the insurance agency pay nothing to the buyer of the strategy.

In the money life coverage the individual gets one last installment though the individual lives or passes on as the strategy goes about as a saving arrangement.

Learn more about Term Premium at:

https://brainly.com/question/23032615

#SPJ4

The complete question is:

What is the 10-year to 3-month term premium of the following yield curve?

The value of x is15

The value of y is 20

The value of z is 58.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔWXY ≈ ΔQRS

This means,

Consecutive sides and angles are equal.

15 + x = 30

x = 30 - 15

x = 15

y = 20

40 = z - 18

z = 40 + 18

z = 58

Thus,

x = 15

y = 20

z = 58

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

The volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]  or  V = 1.73h [tex]cm^{3}[/tex] .

In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.

we know that,

The volume of the pyramid is equal to

V = [tex]\frac{1}{3} BH[/tex]

where,

B is the area of the base and

H is the height of pyramid

In this problem we have,

B = 5.2 [tex]cm^{2}[/tex]

H = h cm

substitute in the formula in V = [tex]\frac{1}{3} BH[/tex] ,

V = [tex]\frac{1}{3}[/tex]  × 5.2 × h

V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]

or

V = 1.73h [tex]cm^{3}[/tex]

Therefore, the volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]  or  V = 1.73h [tex]cm^{3}[/tex] .

To learn more about volume of pyramid visit : brainly.com/question/17615619

#SPJ4

The volume of the solid right pyramid is given as V=  1/3(b*h) and hence volume(V) is equals to h/3(5.2) cm^3 or 1.73h cm^3

In solid right pyramid volume is given by the product of base of the area and the height of the solid pyramid  and it is divided by 3 and volume is defined as the 3-dimensional  area covered by the solid right pyramid . so volume is the product of the base of the area and the height and it is divided by 3

So , here "b" is the base of the area

"h" is the height of the solid right pyramid

We have ,base B=5.2 cm^2

height H= h cm

As , Volume is given by the product of the base and height of the right pyramid and it is divided by 3 , we used to solve the volume as

V=1/3 (5.2 * h) cm^3=(h/3)(5.2) cm^3

V=1.73 h cm^3

So, the volume of the solid right pyramid is given by V=h/3 (5.2) cm^3 or V=1.73 h cm^3

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ4

It's definitely one of the more rewarding survival experiences that has hit the platform.

Is Into the Radius VR worth it?

To learn more about radius refers to:

https://brainly.com/question/29863550

#SPJ4

Using interquartile ranges.

Interquartile range (IQR) indicates the middle half range of the data set. You can use IQR to create "fences" around your data and define outliers as values outside those fences.

This method is useful when you have some values on either end of your dataset, but you are not sure whether any of them should be considered outliers.

Outliers are data that deviate too far from other data in a data set (outlier). The existence of these data outliers will make the analysis of a series of data biased, or not reflect the actual phenomenon. The term outliers is also often associated with extreme values, both large extremes and small extremes.

As an illustration, if there are four students, the first student has a monthly allowance of Rp. 500 thousand, second students Rp. 600 thousand, third student Rp. 700 thousand, and the fourth student because he is the son of a rich man (sultan), has a monthly allowance of up to Rp. 5 million. At a glance it appears that the value of 5 million is relatively far compared to the pocket money of the other three students.

Learn more about outliers at

https://brainly.com/question/23461655

#SPJ1

You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution. There can be more than one way to find a solution.

What is meant by solution?

To learn more about solution refer to

https://brainly.com/question/22688504

#SPJ4

Answer:

[tex] \red{ \boxed{\sf{c = 0.81s}}}[/tex]

Step-by-step explanation:

(total cos t) = k (songs)

total cost / songs = k

8.1/10 = k

0.81 = k

now substitute 0.81 in for k in your equation

c = 0.81s

follow..

H(u) = u arctan(x) - (1) arctan(t) dt is obtained by integrating u arctan(t) with respect to t from 1 to x.

The original function h(x) = 1/x arctan(t) dt can be rewritten as h(u) = u arctan(t) dt by substituting u = 1/x. This is accomplished by substituting 1/u for each instance of x in the original equation.

The result of integrating this equation from 1 to x with regard to t is h(u) = u arctan(x) - (1) arctan(t) dt. The integral of u arctan(t) from 1 to x less the integral of arctan(t) from 1 to x can be used to represent this. The integration variable for the first integral is u, while the variable for the second integral is t.

By adding u = 1/x to the equation, the value of h(u) can then be utilised to determine the value of h(x). To accomplish this, all occurrences of u are replaced.

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4

a) The pattern we noticed in the sequence is; A geometric sequence

b) The value of 3⁻¹ which is the fourth term is; 1/3

c) The value of 3⁻² which is the fifth term is; 1/9

The general formula for the nth term of a geometric progression is;

aₙ = arⁿ⁻¹

where;

a is first term

r is common ratio

We are given the sequence as;

3², 3¹, 3⁰,____

Thus;

First term a = 9

Common ratio; r = 3/9

r = 1/3

b) Thus; 3⁻¹ will be the 4th term and as such will be;

3⁰ * 1/3 = 1/3

c) Similarly, The fifth term is 3⁻² expressed as;

1/3 * 1/3 = 1/9

Read more about geometric progression at; https://brainly.com/question/24643676

#SPJ1

The equivalent exponential expression to 10^5/10² is given as follows:

10³.

The exponential expression for this problem is defined as follows:

10^5/10².

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.

The subtraction of the exponents in this problem is given as follows:

5 - 2 = 3.

Hence the equivalent exponential expression to 10^5/10² is given as follows:

10³.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1