Use cylindrical coordinates to calculate the volume above the xy-plane outside the cone z^2 = x^2 + y^2 and inside the cylinder x^2 + y^2 = 4

Answer:

The answer is option B.

g(x) = - x²

Hope this helps you

Answer:

Slope of the regression line

Step-by-step explanation:

The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.

The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = [tex]\frac{1}{2}[/tex]( πd ) =  [tex]\frac{1}{2}[/tex]π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 [tex]*[/tex] 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 [tex]*[/tex] 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π[tex]r^2[/tex] = 1/2π[tex](2)^2[/tex] = 2π ( cm ),

Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( [tex]cm^2[/tex] )

So, the area of the figure should be the following -

Area of Figure = 3 [tex]*[/tex] 2π + 3( 16 - 2π ) = 48 ( cm )^2

Explanation:

Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).

Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.

The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.

Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.

Answer:

120 Hours

Step-by-step explanation:

24 hours in a day

5 days

24 x 5 = 120

Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).

[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]

Where [tex]x+4>=0[/tex] for x to be real.

So solve the inequality and you will obtain the domain:

[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].

Range is equal to the range of square root function,

[tex]y\in[0, +\infty)[/tex].

Hope this helps.

Answer:

84cm^2

Step-by-step explanation:

A parallelogram is just like a rectange. So, that's how you find the area: length times width.

So we know the width is 7 cm and the length is 12 cm. We multiply them to get 84cm^2

Answer:

84 cm^2

Step-by-step explanation:

area of a parallelogram is base x height

so, the base is 12 cm and the height is 7 cm

that means the area will equal (12 cm)(7 cm)

12 times 7=84 cm^2

therefore, the area of this parallelogram is 84 cm^2

Answer:

1.2 metres

Step-by-step explanation:

1 metre = 100cm

so 120cm has 120 cm * 1 m/ 100cm = 1.2 m

Hey there! :)

Answer:

D: [-3, 1).

R: [ -8, 1].

Step-by-step explanation:

Examine the graph. Notice there is a closed and open circle.

Closed circles require the ] bracket to be used, while:

Open circles require the ) bracket. Therefore:

Domain:

The domain is from x = -3 to x = 1. Therefore:

D: [-3, 1).

The range, or y values in this function are from -8 to 1. Therefore:

R: [ -8, 1].

*** The range for this graph can be tricky. Remember, in this instance the highest point of the graph was at x = 0, not at x = 1 where the graph ended.

Answer:

8

Step-by-step explanation:

Answer:

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Step-by-step explanation:

1/2-1/3(6x-3)=-13/2

First step

Using the distributive property to simply

1/2-(6x/3)+(3/3)=-13/2

1/2 -2x +1 = -13/2

Second step

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Third step

Isolating the variable Expression by using the addition property of equality

-2x = -13/2 - 3/2

-2x = -16/2

Fourth step

Isolating the variable by using the division property of equality

-2x = -16/2

X = -16/2 * -1/2

X = -16/-4

X= 4

Answer:

Simplify by combining like terms

Step-by-step explanation:

Answer:

a) 4

Step-by-step explanation:

Take the equation:

x + 1483 = 2113.833

Solve for x:

x = 2113.833 - 1483

x = 630.833

To find df, take the equation:

[tex]\frac{x}{y} = 210.2778[/tex]

Where x = 630.833

[tex] \frac{630.833}{y} = 210.2778 [/tex]

Solve for y:

[tex] y = \frac{210.2778}{630.833} [/tex]

[tex] y = 2.9999 [/tex]

y ≈ 3

Take number of treatments = k

Degrees of freedom, df, of numberof treatments = k - 1

Therefore,

Where df = 3, we have:

k - 1 = 3

Solve for k:

k = 3 + 1

k = 4

The number of treatment groups is 4

The number of treatment groups is (a) 4

From the partial ANOVA results, we have:

Start by calculating the SS between using the following formula

SS between= SS total - SS within

So, we have:

SS between = 2113.833-1483

SS between = 630.833

Next, calculate the degrees of freedom (df) using:

df = SS between / MS between

So, we have:

[tex]df = \frac{630.833}{210.2778}[/tex]

Divide

[tex]df = 2.99999809775[/tex]

Approximate

[tex]df = 3[/tex]

The number of treatment groups (n) is then calculated using:

[tex]n = df + 1[/tex]

This gives

[tex]n = 3+ 1[/tex]

Add 3 and 1

[tex]n = 4[/tex]

Hence, the number of treatment groups is (a) 4

Read more about ANOVA results at:

https://brainly.com/question/15394749

Answer:

Profit =  $6,922.1

Step-by-step explanation:

Total weight of pecans = 950 kg

1 kg = 1000g

Total weight of pecans in gram = 950 *1000 g = 950,000 g

Note : we have calculated weight in gram as later in question weight of pecans in bag is given in gram so to make uniformity in unit of weight)

Given quantity one bag can store = 250 g

let there be x bag to store 950,000 g of pecan

weight of x bag = quantity one bag can store*x  = 250x (this will be equal to total weight of pecan as given)

250 x= 950,000 g

=> x = 950000/250 = 950*4 = 3800

Thus, there are 3800 bags.

Selling price for 1 bag = $1.90

Selling price for  3800 bag = $1.90*3800 = $7,220

we know profit = selling price - cost price

given cost price of 950 kg pecan = $297.90

Profit = $7,220 - $297.90 = $6,922.1 (answer)

Answer: 10

Step-by-step explanation:

Step-by-step explanation:

10x-8y = 40 (1)

5x-2y= 40  (2)

multiply (2) by -2 then add to (1) to get rid of x

-10x+4y+10x-8y = 40+ (-80)

-4y = -40

4y = 40

y= 40/4

y = 10

the answer is 10

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

[tex]\sum x = 35[/tex]

[tex]\sum x^2 = 139[/tex]

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

[tex]\sum y = 24[/tex]

[tex]\sum y^2 = 72[/tex]

[tex]\sum xy = 55[/tex]

[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]

[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]

b) Linear correlation between Lyme disease and drowning deaths.

[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]

r = -15/ √(24*36.92)

r = -0.504

Answer :

option C is the correct answer

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]\frac{13}{4}[/tex]

▹ Step-by-Step Explanation

4 Squares = x/4

13 parts are shaded in so...

The answer would be 13/4.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

1

Step-by-step explanation:

To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.

Answer: b & c

Step-by-step explanation: a p e x 2020

Answer:

D) Peer review

Step-by-step explanation:

Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific  explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.

Answer:

the first one

Step-by-step explanation: they are all the same

Answer:

The smallest square number  that can be written using five different  Roman numerals is 10,000.

The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]

Step-by-step explanation:

The lowest digit which can be written using five different Roman numerals is 10,000.

Therefore, the smallest square number must be greater than or equal to 10,000.

[tex]\sqrt{10,000} =100[/tex]

Therefore, the smallest square number  that can be written using five different  Roman numerals is 10,000.

Next, we divide the number by 24.

[tex]10,000 \div 24 =416 \dfrac{2}{3}[/tex]

The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]

Answer:

[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex]

Step-by-step explanation:

This derivative consist in the sum of three functions: [tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex], [tex]g(x) = - x^{81}[/tex] and [tex]h(x) = - x^{2}[/tex]. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:

[tex]\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)][/tex]

Now, each derivative is found by applying the derivative rules when appropriate:

[tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex] Given

[tex]f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}}[/tex] (Derivative of a arcsine function/Chain rule)

[tex]g(x) = - x^{81}[/tex] Given

[tex]g'(x) = -81\cdot x^{80}[/tex] (Derivative of a power function)

[tex]h(x) = - x^{2}[/tex] Given

[tex]h'(x) = -2\cdot x[/tex] (Derivative of a power function)

[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex] (Derivative for a sum of functions/Result)

Answer: 36 children

Step-by-step explanation:

3/4 of the class plays basketball.  Thus 3/4x=27.  Multiply each side by 4/3 to get x = 36

Answer:

✓SSE = 127.3

✓SST = 281.2

✓SSR = 153.9

✓percentage of the total sum of squares = 54.73%

✓The value of the sample correlation coefficient= 0.7398

Step-by-step explanation:

Given:

xi :2 6 9 13 20

yi:7 18 9 26 23

The given regression equation = 7.6 + 0.9 x.

we need to calculate the required SSE, SST and SSR , after this The percentage of total sum of squares can be computed. To do this we need to find the square difference between the actual value of y and average value of y, also the difference between actual value and predicted y value.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.

Answer:

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.685

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.685\frac{60}{\sqrt{40}} = 16[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes

The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

Answer:

1

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

its what you multiply by to get the next number

Answer:

Step-by-step explanation:

x^2 + y^2 = 16

Both the domain and range are :

-4≤x≤4

-4≤y≤4

Example

x^2= 16

√x^2 = √16

x = 4,-4

√y^2= √16

y = -4, 4

Answer:

401k, health insurance, life insurance, paid vacation

Step-by-step explanation:

The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.

When the employees are doing full time job so the company gives the following benefits:

These benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.

learn more about insurance here: https://brainly.com/question/24461491