Which of the c-values satisfy the following inequality?
2 > c/3
Choose all answers that apply:
A. c = 3
B. c = 6
C. c = 9

The volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

Given:

DC = 7

DA = 6

DE = 6

AB = 14

Height of the trapezoid:

ED = (DC/AB) * EA = (7/14) * EA = 0.5 * EA

Height = EA - ED = EA - 0.5 * EA = 0.5 * EA

Circumference of the cylindrical shell:

Circumference = 2 * π * AB = 2 * π * 14

Thickness of the cylindrical shell:

Since the trapezoid is being rotated about side DA, the thickness (Δx) will vary along DA. We'll integrate with respect to x from 0 to 6 (the length of DA).

Volume of the solid generated:

Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * EA * Δx]

Substituting EA = DE + DA = 6 + 6 = 12Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * 12 * Δx]

Integrating:

Volume = 2 * π * 14 * 0.5 * 12 * [x] from 0 to 6

Volume = 2 * π * 14 * 0.5 * 12 * (6 - 0)

Volume = 504 * π

Approximating to the nearest tenth:

Volume ≈ 504 * 3.14 ≈ 1586.6 cubic units (rounded to the nearest tenth)

Therefore, the volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).

To know more about volume visit :

https://brainly.com/question/463363

#SPJ1

Answer:

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

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

To learn more about function visit: https://brainly.com/question/13113489

#SPJ4

Answer: 5/9

Step-by-step explanation: 15/27 divided by 3. 15 divided by 3 is 5 and 27 divided by 3 is 9.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

Answer:

2×2×2×2×5

or 2, 2, 2, 2, 5

Answer:

2 2 2 2 5

Step-by-step explanation:

80/2 = 40

40/2 = 20

20/2 = 10

10/2 = 5

I hope this helps!

The two numbers that when multiplied by √360 gives a rational number are √10 and 1/√10.

√10 and 1/√10 are both irrational numbers.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

√360 = 6√10

√10 = 3.162277... is an irrational number.

Numbers = M and N

Now,

M x 6√10 = Rational number

N x 6√10 = Rational number

M and N have to be irrational numbers.

M = √10

√10 x 6√10 = 60 (rational number)

1/√10 x 6√10 = 6 (rational number)

Thus,

The irrational numbers are √10 and 1/√10

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ1

40 Students were asked if they played an instrument (Yes or No) and if they were in a band (Yes or No)

25 answered they play an instrument.

20 answered they are in a band.

20 answered they are not in a bad.

To construct a two-way frequency table you have to write the possible answers for both questions in the margins of the table.

For example, write if they are in a band in the columns and if they play an instrument in the rows:

Add a third row and column for the totals:

The next step is to write the given data in the table.

Each value given corresponds to the totals.

"25 answered they play an instrument." is the total of the first row

"20 answered they are in a band." is the total of the first column

"20 answered they are not in a bad." is the total of the second column

"40" is the total number of students and corresponds to the cell where the third row and column intersect:

The total number of students that do not play any instrument is equal to the difference between the total number of students and the number of students that answered they play an instrument.

There is not enough information to fill in the body of the table.

The correct option seems to be B.

Answer:

Step-by-step explanation:

1 4/5*5/6

3/2 or 1 1/2

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer: The quadrilateral ABCD is a parallelogram as, slope of AB = slope of DC = 5, and slope of AD = slope of BC = 0.5.

Step-by-step explanation:

The two responses that help prove the shape is a parallelogram are:

The slopes of opposite sides are equal.

The lengths of opposite sides are congruent.

We have,

Opposite sides are parallel:

If the slopes of opposite sides are equal, then the sides are parallel.

For AB: Slope of AB = (3 - (-2))/(4 - 3) = 5/1 = 5

For CD: Slope of CD = (-5 - 0)/(-3 - (-2)) = -5/(-1) = 5

Since the slopes of AB and CD are equal (both are 5), it indicates that the opposite sides of AB and CD are parallel.

Opposite sides are congruent:

For AB: Length of AB = √((4 - 3)² + (3 - (-2))²) = √(1² + 5²) = √(26)

For CD: Length of CD = √((-3 - (-2))² + (-5 - 0)²) = √((-1)² + (-5)²) = √(26)

Since the lengths of AB and CD are equal (both are √(26)), it indicates that the opposite sides of AB and CD are congruent.

Therefore,

The two responses that help prove the shape is a parallelogram are:

The slopes of opposite sides are equal.

The lengths of opposite sides are congruent.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ4

Answer:

f/9

Step-by-step explanation:

n + 5/5 = f + 9/9

do cross multiplication

5(f+9)=9(n+5)

5f+45=9n+45

5f=9n+45-45

5f=9n+0

f/9 = n/5

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

Answer:

20. is B (second one)

21. is A (first one)

Step-by-step explanation:

Answer:

46=p x 98 because 46 is the product of multiplying the percentage(p) to 98

156+97 because subtracting a negative number is the same as adding

Answer:

The first answer.  8x^15 - 125y^3

Step-by-step explanation:

...because 8 is the cube of 2 and x^15 is the cube of x^5; also 125 is the cube of 5 and y^3 is the cube of y.

8x^15 - 125y^3 = (2x^5)^3 - (5y)^3

The value of p in the binomial expansion is 1920.

Here we have been given

\((a-kx^m)^n = \frac{243}{32} - \frac{405}{4}x^{\frac{3}{2}} + 540x^3 - 1440x^\frac{9}{2} + px^6 - qx^\frac{15}{2}\)

Now to calculate the value of p we need to calculate the values of n, m, k, and a using the Binomial Expansion formula.

Now we have 6 terms over here. According to the rule, the power of an expression is

no. of terms in expansion - 1

= 6 - 1

= 5

Now the first term is

\(C^5_0 a^5 = \frac{243}{32}\)

\(or, a^5 = \frac{3^5}{2^5}\)

Hence we get

a = 3/2

Now the second term should be

\(C^5_1 a^4 (-kx^m) =- \frac{405}{4}x^\frac{3}{2}\)

\(-5k\frac{81}{16}x^m =- \frac{405}{4}x^\frac{3}{2}\)

\(or, kx^m = 4x^\frac{3}{2}\)

Hence here we see that k = 4 and m = 3/2

Now we can calculate p by

\(C^5_4 a^1 (-kx^m)^4 = px^6\)

\(5 X \frac{3}{2} X 256x^6 = px^6\)

\(or, 1920x^6 = px^6\)

Hence the value of p is 1920

To learn more about Binomial Expansion visit

https://brainly.com/question/2165968

#SPJ4

Answer:

Simplifying

6x + -2y = 12

Solving

6x + -2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.

6x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

6x + 0 = 12 + 2y

6x = 12 + 2y

Divide each side by '6'.

x = 2 + 0.3333333333y

Simplifying

x = 2 + 0.3333333333y

Step-by-step explanation:

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

To know more about matrix, click here

https://brainly.com/question/29132693

#SPJ11

Answer:

Step-by-step explanation:

|<------------------- 32 units ---------------->|

K-----------------------L-------------------------M

           3x + 6                    11

KL + LM = KM

3x + 6 + 11 = 32

3x = 32 - 11 - 6

x = 15 / 3

x = 5 units

Using a t-distribution table or calculator, we get the t-score and are 98% positive that the interval (32.126, 53.874) includes the genuine population mean amount the medicine would drop a typical patient's systolic blood pressure to.

We must create a confidence interval for the population mean decrease in systolic blood pressure in order to calculate how much the medicine will reduce a typical patient's systolic blood pressure with a 98% confidence level.

CI = x t /2 * (s / n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, t /2 is the t-score for the desired degree of confidence, and is the significance level (1 - confidence level).

With the supplied variables plugged in, we obtain:

CI = 43 t0.01/2 * (11 / 10)

The t-score at a 98% confidence level and 9 degrees of freedom (n-1) are roughly 2.821, according to a t-distribution table or calculator.

We obtain the following number by substituting it:

CI = 43 2.821 * (11 / 10) = (32.126, 53.874)

As a result, we have a 98% confidence that the interval (32.126, 53.874) contains the actual population mean amount that the medication would reduce the systolic blood pressure of an average patient.

The following requirements must be met for the interval to be valid:

1. The sample is a straightforward random sample taken from the population.

2. For the Central Limit Theorem to be applicable, either the population is normally distributed or the sample size is sufficient (n > 30).

3. A fair estimate of the population standard deviation is the sample standard deviation (which is assumed to be unknown).

Learn more about the t-distribution table at

brainly.com/question/30401218

#SPJ4

Answer:

Circumference = 2*pi*r

Diameter = 6 cm

Radius = 3 cm

Circumference = 2*22/7*3

= 18.85 cm.....

Step-by-step explanation:

Hope this helps you....

Pls mark me brainliest....

The number of students on each row is 11

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

Boys = 80

Girls = 96

Next, we take the GCF of 80 and 96

This is represented as

Boys = 2 * 2 * 2 * 2 * 5

Girls = 2 * 2 * 2 * 2 * 2 * 3

So, we have

GCF = 2 * 2 * 2 * 2

Evaluate

GCF = 16

The number of students on each row is

Students = Boys/GCF + Girls/GCF

So, we have

Students = 80/16 + 96/16

Evaluate

Students = 11

Hence, the students are 11

Read more about GCF at

https://brainly.com/question/12232865

#SPJ1

Probability sampling is not "wrong," and convenience sampling allows allowing generalizations to a wider group.

Convenience sampling is any non sampling technique where units are chosen for the sample based on their accessibility to the researcher.

Thus, probability sampling is not "wrong," and convenience sampling allows allowing generalizations to a wider group.

To know more about the convenience sampling, here

https://brainly.com/question/3421849

#SPJ4

Answer:not a man but I think you should just relax and be yourself, high school isn’t scary at all. When you go in for orientation walk around the school and find your classes so you have a good map of where you need to go in your head already! Best of luck

Step-by-step explanation:

Answer:

If the temperature was -6 °C in the morning, and it is increasing by 11 °C every hour, it will be at least 2 °C after (-6 - 2) / 11 = <<(-6-2)/11=0.45>>0.45 hours.

Since the temperature is measured in hours, and a fraction of an hour cannot be measured, the temperature will be at least 2 °C after 1 hour.

Step-by-step explanation:

Answer:

33.514

Step-by-step explanation:

i mightve maybe used a calculator

Answer:

$40.25

Step-by-step explanation:

15% of $35 is 5.25 so 35+5.25 is $40.25

Answer:

irst we have to find out what the amount the customer is tipping is. To do this, we multiply the percentage of tip times the total bill.

Note: 15% = 0.15

0.15 * 35 = 5.25

Therefore, the customer is tipping $5.25.

To find the total bill, we add the tip and the regular bill together.

35 + 5.25 = $40.25

Therefore, the customer's total bill, including the tip is $40.25.

please mark brainliest

The circumference of the hub cap of a tire is given as 84.47 cm .A = πr²Where A is the area of the circle and r is the radius of the circle.

The circumference of the hubcap is given as: C = 2πr Given the circumference of the hub cap, we can find the radius as follows: C = 2πr84.47 = 2 × 3.14 × r84.47 = 6.28rR = 84.47/6.28R = 13.44 cm Now, the area of the hubcap can be found using :A = πR²A = 3.14 × (13.44)²A = 3.14 × 180.6336A = 567.87 cm²Therefore, the area of the hubcap is 567.87 cm².If the circumference of the hubcap were smaller, the radius of the hubcap would also be smaller, leading to a smaller area of the hubcap. The area of the circle is directly proportional to the square of its radius, which means that if the radius decreases by a factor of x, the area decreases by a factor of x².

Learn more about circumference here:

https://brainly.com/question/12512221

#SPJ11

The statement is false because for an ordered pair that have an x-coordinate of zero will not necessarily lie on the x- axis . What will determine if it will lie on the x axis is the value of y. For example if the ordered pair are (0, 9) , the x coordinates is zero but the y value is 9 that means the point will never lie on the x axis . It can only lie on the x axis when both are zero(0, 0) or when y is 0 and x is not zero(2, 0) .