What is the volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters. leave the answer in terms of π. 96π m3 192π m3 603π m3 768π m3

The solution to the equation is (b) x = -18

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

X

= 6

-3

Represent the equation properly

So, we have the following representation

x/-3 = 6

Cross multiply the equation

This gives

x = -3 * 6

Evaluate the products

x = -18

Hence, the solution is (b) x = -18

Read more about equation at

https://brainly.com/question/2972832

#SPJ1

Answer:

15:20

Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20

15 : 20 hope it helped:)

The formula for the height above the ground, h(t) is h(t) = 255 sin (π/20 t) + 20.

The amplitude is half the distance between the highest and lowest points, which is (530 - 20)/2 = 255 feet. So A = 255.

The period is 40 minutes, so B = 2π/40 = π/20.

At t = 0 (when we board the Ferris Wheel), we are 20 feet above the ground.

This means there is no phase shift, so C = 0.

The vertical shift is also 20 feet, so D = 20.

Putting it all together, we have:

h(t) = 255 sin (π/20 t) + 20

Learn more about height on

https://brainly.com/question/73194

#SPJ1

The slope is (B) -5/4.

To find the slope:

Therefore, the slope is (B) -5/4.

Know more about slopes here:

https://brainly.com/question/3493733

#SPJ4

The complete question is given below:

What is the slope of a line that is parallel to the line whose equation is y=45x−3?

A. −4/5

B. −5/4

C. 5/4

D. 4/5

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.

To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.

First, we'll combine like terms on the left side of the equation:

-1/2w - 3/5 = 1/5w

To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:

10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)

This simplifies to:

-5w - 6 = 2w

Next, we'll group the w terms on one side of the equation and the constant terms on the other side:

-5w - 2w = 6

Combining like terms, we have:

-7w = 6

Now, we'll isolate the variable w by dividing both sides of the equation by -7:

(-7w)/(-7) = 6/(-7)

This simplifies to:

w = -6/7

Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.

In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.

For more question on equation visit:

https://brainly.com/question/17145398

#SPJ8

Answer

Graph shown below

Step-by-step explanation:

In order to graph something, you need to know the slope and why intercept of the line. One way to do this is to put the equation into slope-intercept form. Slope intercept form is y = mx + b, where m = slope and b = your y-intercept. One way to put the equation -2x = y = 8 into the slope-intercept form is to add the -2x to the other side of the equation. Then you will get y = 8 + 2x. Now, because of the commutative property of addition, you can write the equation as y = 2x + 8. Then graph the equation. Since you know that 8 is a y intercept. You can graph the first point of your line. After, you just use slope (which is 2/1) and graph other points on a graph to get you your line. Hope this helps!

Answer:

The answer is C.

Step-by-step explanation:

As you type into the calculator, you will get 0.707 :

cos(45) = √2/2

cos(45) ≈ 0.707 (3s.f)

Answer:

15days

Step-by-step explanation:

number of days Barry work = 20

If Malaysia is 25% efficient

Number of days less than Barry = 25% of 20

Number of days less than Barry = 0.25 * 20

Number of days less than Barry = 5

Number of days worked by Malaysia = 20 - 5

Number of days worked by Malaysia = 15days

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

Learn more about  expression here:

https://brainly.com/question/28170201

#SPJ11

The circumference of a circle is equal to 2π multiplied by its radius. Therefore, the circumference of a circle with a radius of 15 cm is equal to 2π multiplied by 15 cm, or 30π cm.

To test the hypothesis of a 2 ratio of 9:3:3:1 using a chi-square test, the degrees of freedom should be \(\(df = (n-1)\)\), where n is the number of categories minus one. In this case, since we have four categories, the degrees of freedom should be

\(\(df = 4 - 1 \\\\= 3\)\)

In a chi-square test, the degrees of freedom \((\(df\))\) are determined by the number of categories or groups being compared. The degrees of freedom represent the number of independent pieces of information available for the calculation of the chi-square statistic.

In this scenario, we are testing a hypothesis based on a 2 ratio of 9:3:3:1. This means we have four categories or groups. The degrees of freedom (df) for a chi-square test are calculated as \(\(df = (n-1)\)\), where n is the number of categories.

Therefore, for the given hypothesis with four categories, the degrees of freedom would be \(\(df = 3\)\).

To know more about Hypothesis visit-

brainly.com/question/26059770

#SPJ11

Answer:

Step-by-step explanation:

Before we begin this, there are a few things that need to be said and a few formulas you need to know. First is that we need to use the work form of a parabola, which is

\(y=a(x-h)^2+k\)

All of the parabolas listed in blue highlight open either up or down, and this work form represents those 2 options. The only thing we need to know is that if there is a negative sign in front of the a, the parabola opens upside down like a mountain instead of up like a cup.

Another thing we need to know is how to find the focus of the parabola. The formula to find the focus for an "up" parabola is (h, k + p) and the formula to find the focus for an upside down parabola is (h, k - p). Then of course is the issue on how to find the p. p is found from the a in the above work form parabola, where

\(p=\frac{1}{4|a|}\) .

In order to accomplish what we need to accomplish, we need to put each of those parabolas into work form (as previously stated) by completing the square. I'm hoping that since you are in pre-calculus you have already learned how to complete the square on a polynomial in order to factor it.  Starting with the first one, we will complete the square. I'll go through each step one at a time, but will provide no explanation as to how I got there (again, assuming you know how to complete the square).

\(y=-x^2+4x+8\) and, completing the square one step at a time:

\(-x^2+4x=-8\) and

\(-(x^2-4x+4)=-8-4\) and

\(-(x-2)^2=-12\) and

\(-(x-2)^2+12=y\)

From this we can see that the h and k values for the vertex are h = 2 and k = 12. Now to find p.

\(|a|=1\), ∴

\(p=\frac{1}{4(1)}=\frac{1}{4}\)

Using the correct focus formula (h, k - p), we get that the focus is

\((2, 12-\frac{1}{4})\) which simplifies to (2, 11.75) which is choice 2 in your options.

Now for the second one (yes, this takes forever...)

\(y=2x^2+16x+18\) and completing the square one step at a time:

\(2x^2+16x=-18\) and

\(2(x^2+8x+16)=-18+32\) and

\(2(x+4)^2=14\) and

\(2(x+4)^2-14=y\)

From this we can see that the vertex is h = -4 and k = -14. Now to find p from a.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\) .

Using the correct focus formula for an upwards opening parabola (h, k + p),

\((-4, -14+\frac{1}{8})\) which simplifies down to (-4, -13.875) which is choice 3 in your options.

Now for the third one...

\(y=-2x^2+5x+14\) and completing the square step by step:

\(-2x^2+5x=-14\) and

\(-2(x^2-\frac{5}{2}x+\frac{25}{16})=-14-\frac{50}{16}\) and

\(-2(x-\frac{5}{4})^2=-\frac{137}{8}\) and

\(-2(x-\frac{5}{4})^2+\frac{137}{8}=y\)

From that we can see the vertex values h and k. h = 1.25 and k = 17.125. Now to find p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the correct focus formula for an upside down parabola (h, k - p),

\((1.25, 17.125-\frac{1}{8})\) which simplifies down to (1.25, 17) which is choice 4 in your options.

Now for the fourth one...

\(y=-x^2+17x+7\) and completing the square step by step:

\(-x^2+17x=-7\) and

\(-(x^2-17x)=-7\) and

\(-(x^2-17x+72.25)=-7-72.25\) and

\(-(x-8.5)^2=-79.25\) and

\(-(x-8.5)^2+79.25=y\)

From that we see that the vertex is h = 8.5 and k = 79.25. Now to find p.

\(|a|=1\), ∴

\(p=\frac{1}{4(1)}=\frac{1}{4}\)

Using the correct formula for an upside down parabola (h, k - p),

\((8.5, 79.25-\frac{1}{4})\) which simplifies down to (8.5, 79) and I don't see a choice from your available options there.

On to the fifth one...

\(y=2x^2+11x+5\) and again step by step:

\(2x^2+11x=-5\) and

\(2(x^2+\frac{11}{2}x+\frac{121}{16})=-5+\frac{242}{16}\) and

\(2(x+\frac{11}{4})^2=\frac{81}{8}\) and

\(2(x+\frac{11}{4})^2-\frac{81}{8}=y\)

from which we see that h = -2.75 and k = -10.125. Now for p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the correct focus formula for an upwards opening parabola (h, k + p),

\((-2.75, -10.125+\frac{1}{8})\) which simplifies down to (-2.75, -10) which is choice 1 from your options.

Now for the last one (almost there!):

\(y=-2x^2+6x+5\) and

\(-2x^2+6x=-5\) and

\(-2(x^2-3x+2.25)=-5-4.5\) and

\(-2(x-1.5)^2=-9.5\) and

\(-2(x-1.5)^2+9.5=y\)

from which we see that h = 1.5 and k = 9.5. Now for p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the formula for the focus of an upside down parabola (h, k - p),

\((1.5, 9.5-\frac{1}{8})\) which simplifies down to (1.5, 9.375) which is another one I do not see in your choices.

Good luck with your conic sections!!!

Answer:

(2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

(xy+3x+2)(xy-9)

= X²y² -7xy+3x²y -27x-18

(x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +7xy -6

Step-by-step explanation:

For (xy+9y+2) and (xy-3)

(xy+9y+2) (xy-3)

= x²y² -3xy +9xy² -27y + 2xy -6

= x²y² -xy +9xy² -27y -6

For (2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

For (x-y)(x+3y)

= X² + 3xy -xy -3y²

= X² +2xy -3y²

For (xy+3x+2)(xy-9)

= X²y² -9xy +3x²y -27x+2xy -18

= X²y² -7xy+3x²y -27x-18

For (x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +9xy -2xy -6

= X³y + 3x² + 3x²y² +7xy -6

1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

To know more about random samples, click here: brainly.com/question/29357010

#SPJ11

Then for part b

if the effective rate of investment 1 is 6.83% and for investment 2 is 7.10%, then investment 2 is a better investment

Answer:

The answer is D.

Step-by-step explanation:

In a parallelogram, lengths are parallel to each other so we can assume that AB is parallel to CD and AD is parallel to BC. In order to find the value of x and y, you have to compare the expressions :

AB // CD

x - 2 = 24

x = 26

AD // BC

y = 11

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

1.) Vertical angles. 2.) 76 degrees. 3.) 36 degrees.

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

Learn more about sampling distribution

brainly.com/question/30007465

#SPJ4

The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer: True.

By definition, a stochastic matrix is a square matrix where each entry is a non-negative real number and the sum of each row is 1.

If A is a stochastic matrix and v is a vector in its 1-eigenspace, then we have:

Av = λv

where λ = 1 is the corresponding eigenvalue.

Multiplying both sides by 1/λ = 1, we get:

v = A v

This means that the vector v is also in the range of A, which is a subspace of the vector space R^n.

Since A is a stochastic matrix, the rows of A sum to 1, and therefore the columns of A also sum to 1. This implies that the vector of all 1's, which we denote by u, is also in the range of A.

Since v is a nonzero vector in the 1-eigenspace and u is a nonzero vector in the range of A, the span of v and u is a two-dimensional subspace of R^n.

Moreover, since A is a stochastic matrix, we have:

Au = u

This means that the vector u is also in the 1-eigenspace.

Therefore, the 1-eigenspace of A is a line spanned by the vector u, which is a nonzero vector in the range of A.

if a is a stochastic matrix, then its 1-eigenspace must be a line: True.


A stochastic matrix is a square matrix with non-negative entries where each row sums to one. The 1-eigenspace of a matrix is the set of all eigenvectors with eigenvalue 1.

Let v be an eigenvector of a stochastic matrix A with eigenvalue 1. Then we have Av = 1v.

Multiplying both sides by the transpose of v, we get v^T Av = v^T v.

Since A is a stochastic matrix, its columns sum to 1 and therefore, its transpose has rows that sum to 1. Thus, v^T Av = 1 and v^T v = 1.

This implies that v^T (A-I) = 0, where I is the identity matrix. Since A is stochastic, I is also stochastic and has a unique 1-eigenspace, which is a line spanned by the vector (1,1,....1)^T.

Therefore, v must be a scalar multiple of (1,1,....1)^T, which implies that the 1-eigenspace of A is a line.

Therefore, the statement "if a is a stochastic matrix, then its 1-eigenspace must be a line" is true.

To know more about eigenvectors, visit:

https://brainly.com/question/31013028

#SPJ11

The probability that the bill will come before the President is 0.8 or 80%.

The probability that the bill will come before the President is:

P = P(H or S) = P(H) + P(S) - P(H and S)

where P(H) is the probability of the bill passing the House, P(S) is the probability of the bill passing the Senate, and P(H and S) is the probability of the bill passing both the House and the Senate.

From the given information, we know that:

P(H) = 0.5

P(S) = 0.7

P(H or S) = 0.8

We can use these values to solve for P(H and S):

P(H or S) = P(H) + P(S) - P(H and S)

0.8 = 0.5 + 0.7 - P(H and S)

P(H and S) = 0.4

Now we can use this value to find P:

P = P(H or S) = P(H) + P(S) - P(H and S)

P = 0.5 + 0.7 - 0.4

P = 0.8

Therefore, the probability that the bill will come before the President is 0.8 or 80%.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

The linear equation that correctly represents how much Martina collects for one night of stay in her homey is 25 + 10x - 5z

The linear equation to represent how much Martina collects for one night of stay in her home is:

y = 25 + 10x - 5z

where:

y is the total amount collected in dollars

x is the number of additional guests (besides the first one)

z is the number of hours the guests check out late

This equation represents the flat fee of $25 per night for the first guest, the additional fee of $10 per person per night for additional guests, and the extra fee of $5 per hour for late checkouts.

Therefore, The linear equation that correctly represents how much Martina collects for one night of stay in her homey is 25 + 10x - 5z

To learn more about equations,

Visit; brainly.com/question/29657988

#SPJ4

The rise-over-run formula for the slope of a straight line is the basis of The high - low method.

The high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level.

For example, if you have two production periods where you generate 6,000 units and then 2,500 units, those are the highest and lowest activity, respectively.

Learn more about High - low method at:

https://brainly.com/question/30624485

#SPJ4

Answer:

y = -3x + 8

Step-by-step explanation:

(1, 5)  ; (-2, 14)

\(Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{14-5}{-2-1}\\\\=\frac{9}{-3}\\\\=-3\)

m = -3   ; (1 , 5)

Equation: \(y-y_{1}=m(x-x_{1})\)

y - 5 = (-3)(x - 1)

y - 5 = -3x + 3

y = -3x + 3 + 5

y = -3x + 8

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

Learn more about compound interest visit:

brainly.com/question/14295570

#SPJ11

Answer:

A and B

Step-by-step explanation:

A is correct because the three terms are x², 5yz, and -8.

B is 100% correct I guarantee it.

C is incorrect because ² is not a coefficient.

D is incorrect because there are three factors in that multiplication term: 5, y, and z.

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The values are :

\( \large \boxed{ \mathfrak{Explanation}}\)

The equation of the given line is :

aand general equation of a line is :

where,

now, by equating both the equations we get :