Find the surface area of a cylinder with a height of 20 feet and a base radius of 6 feet.

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

Step 01:

Data:

1. 9x² + 3x - 4 = 0

Step 02:

Discriminant:

D = b² - 4ac

9x² + 3x - 4 = 0

a = 9

b = 3

c = - 4

D = (3)² - 4(9)(-4) = 9 + 144 = 153

The answer is:

D = 153

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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Answer:

1. Capacity of the box in Litres: 7.917L≈8L

2. Volume of wood used in making the box: 1197cm^3

3. The mass of the box: 1496.25g/cm^3

Step-by-step explanation:

1. 29×21×13=7917cm^3

7917cm^3 → 7.917dm^3→7.917L≈8L

2. Outside Volume: 29×21×13=7917cm^3

Inside Volume: 28×20×13=6720cm^3

7917-6720=1197cm^3

3. 1197×1.25=1496.25g/cm^3

The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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Answer:

20 feet 7 inches

Step-by-step explanation:

We can separate the fractions and wholes for the minute. 6+7+6= 19

Then we can go on to the fractions a foot is 12 inches. We are given the fractions 1/4, 1/2, &5/6.

1/4 of 12 is 3 as 12 divided by 4 is 3. (3 inches)

1/2 of 12 is 6 as 12 divided by 2 is 6 . ( 6inches)

5/6 of 12 is 10 as 12 divided by 6 then multiplied by 5 is 10. (10 inches)

Because it'd be a bit weird to provide the answer 9 feet and 19 inches we have to convert the 19 inches from the fractions to feet. Since one foot is 12 inches we know that we can take one foot from the 19 inches from the fractions provided with 7 inches left. With that, the final answer is 10 feet and 7 inches.

Open for more questions, comments, concerns, or critiques ( there are most likely grammatical errors)

Answer:

Step-by-step explanation:

The perimeter of this garden is the sum of the lengths of its three sides:

6.25

7.50

+6,833

-----------

20.583 feet

This could and should be rounded off to 2 decimal places:   20.58 ft

or to a mixed fraction:  20 7 1/12 ft

Sunday is the week was November 16, 2014

We see that there is a 13-year span from November 16, 2001, to November 6, 2014. If each year were 365 days, the total number of days in this 13-year span would be 365 x 13 = 4,745 days.

However, since 3 of the years during this span, each has 1 extra day, the actual number of days in this span is 4,745 + 3 = 4,748 days.

Since 4,748/7 = 678 R2, we know that there were 678 weeks and 2 days from Friday, November 16, 2001, until November 16, 2014. The remainder of 2 tells us that November 16, 2014, was 2 days after Friday, so it was Sunday.

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The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Answer:

6.3

Step-by-step explanation: Divide 7 by 10 and get .7 then you would multiply that by 9 and youll get 6.3

There are 4096 functions from a set with 4 elements to a set with 8 elements.

To find the number of functions from one set to another, we use the formula:

Number of functions = (Number of elements in the codomain)Number of elements in the domain

In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:

Number of functions = 84

Number of functions = 4096

Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.

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Answer:

-4

Step-by-step explanation:

When talking about integers key words like below or anything being  Loss means Negative.And anything relating to an positive like   above or receive means positive which means anything  that your gaining or getting.

Answer:

The area of the square is = 64

Step-by-step explanation:

The perimeter of rectangle = Perimeter of the square

The rectangle has a length (l) of 11 and a width (w) of 5.

The perimeter of a rectangle = 2·l×2·w = 2×11+2×5 = 32

The perimeter of a square = 4·s => Since the perimeter of the rectangle = the perimeter of the square we can find out the side of the square by using the formula in bold.

The perimeter of the square = 4·s = 32

s = \(\frac{32}{4}\) = 8

The area of a square is = s×s = s²

The area of the square is = s² = 8² = 64

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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Lydia used a total of approximately 16.33 pints of paint to paint her bedroom walls, with 6.2 pints being blue and 10.33 pints being white.

We know that 3/5 of the total paint used is blue, and the remaining 2/5 must be white.

Let x be the total amount of paint used in pints. Then, we can write:

3/5 x = 6.2 (pints of blue paint used)

2/5 x = ? (pints of white paint used)

To solve for the pints of white paint used, we need to isolate the variable x in the second equation:

2/5 x = (2/3) * 3/5 x (multiply both sides by 2/3 to simplify)

2/5 x = 6.2 * 2/3

2/5 x = 4.1333...

Now we can solve for x by multiplying both sides by 5/2:

x = (5/2) * (2/5) x = (5/2) * 4.1333... = 10.3333...

Therefore, Lydia used approximately 10.33 pints of white paint and  6.2 pints of blue to paint her bedroom walls.

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Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

The volume of prime required to fill 1 foot of 3/8" tubing in mL/ft is 1.655.

Given a 3/8" tubing and we are required to find out the volume of prime required to fill 1 foot of the tubing.

Calculation of the volume of prime required to fill 1 foot of 3/8" tubing:

First of all, we will calculate the radius of the 3/8" tubing:We know that the diameter of the tubing is 3/8".Diameter = 3/8"Radius = Diameter/2Radius = (3/8) / 2Radius = 3/16"

Now, we will calculate the volume of prime required to fill 1 foot of the tubing using the formula of the volume of a cylinder."V = πr²L"

Where V is the volume, r is the radius, L is the length.We will plug in the given values in the formula."V = π(3/16)² × 12""V = π(9/256) × 12""V = (27/256)π"

Converting it into mL/ft:We know that 1 cubic inch = 16.39 milliliters (mL)

So, the volume of prime required to fill 1 foot of 3/8" tubing in mL/ft is:(27/256)π × 16.39 mL/ft= (27/256)π × 16.39= 1.655 mL/ft (approx)

Therefore, the volume of prime required to fill 1 foot of 3/8" tubing in mL/ft is 1.655.

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The angle between \(\(\vec{a}\) and \(\vec{b}\) is \(60^\circ\).\)

To find the angle between two vectors\(\(\vec{a}\) and \(\vec{b}\)\), we can use the dot product formula:

\(\(\vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos(\theta)\),\)

where \(\(|\vec{a}|\) and \(|\vec{b}|\)\) are the magnitudes of the vectors and\(\(\theta\)\)is the angle between them.

Given that \(\(\vec{a} \cdot \vec{b} = \sqrt{3}\),\) we can rewrite the equation as:

\(\(\sqrt{3} = |\vec{a}| |\vec{b}| \cos(\theta)\).\)

We are also given that \(\(\vec{a} \times \vec{b} = \langle 1, 2, 2 \rangle\),\)which represents the cross product of the vectors.

The magnitude of the cross product is given by:

\(\(|\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| \sin(\theta)\).\)

Substituting the given values, we have:

\(\(|\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| \sin(\theta) = |\langle 1, 2, 2 \rangle| = \sqrt{1^2 + 2^2 + 2^2} = \sqrt{9} = 3\).\)

We can rearrange the equation to solve for \(\(|\vec{a}| |\vec{b}| \sin(\theta)\):\(3 = |\vec{a}| |\vec{b}| \sin(\theta)\).\)

Now, we have two equations:

\(\(\sqrt{3} = |\vec{a}| |\vec{b}| \cos(\theta)\),\(3 = |\vec{a}| |\vec{b}| \sin(\theta)\).\)

To eliminate the magnitudes \(\(|\vec{a}|\) and \(|\vec{b}|\)\), we can square both equations and add them together:

\(\((\sqrt{3})^2 + 3^2 = (|\vec{a}| |\vec{b}|)^2 (\cos^2(\theta) + \sin^2(\theta))\)\).

Simplifying, we get:

\(\(3 + 9 = (|\vec{a}| |\vec{b}|)^2\).\(12 = (|\vec{a}| |\vec{b}|)^2\).\)

Taking the square root of both sides:

\(\(\sqrt{12} = |\vec{a}| |\vec{b}|\).\(\sqrt{12} = |\vec{a}| |\vec{b}| = |\vec{a}| |\vec{b}| \sqrt{\cos^2(\theta) + \sin^2(\theta)}\).\)

Since \(\(\cos^2(\theta) + \sin^2(\theta) = 1\)\), we have:

\(\(\sqrt{12} = |\vec{a}| |\vec{b}| \cdot 1\).\(\sqrt{12} = |\vec{a}| |\vec{b}|\).\)

Now, we can substitute this back into the first equation:

\(\(\sqrt{3} = \sqrt{12} \cos(\theta)\).\)

Simplifying, we get:

\(\(\cos(\theta) = \frac{\sqrt{3}}{\sqrt{12}} = \frac{\sqrt{3}}{2\sqrt{3}} = \frac{1}{2}\).\)

To find the angle \(\(\theta\)\), we take the inverse cosine (

arc cosine) of \(\(\frac{1}{2}\):\)

\(\(\theta = \cos^{-1}\left(\frac{1}{2}\right)\).\)

Using the unit circle or trigonometric identities, we find that\(\(\theta = \frac{\pi}{3}\) or \(60^\circ\).\)

Therefore, the angle between \(\(\vec{a}\) and \(\vec{b}\) is \(60^\circ\).\)

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Given:

The altitude for checkpoint 2 is -47.

The altitude for checkpoint 3 is -216.

The altitude for checkpoint 4 is 2,001.

Required:

a) we need to find the altitude of checkpoint 4 higher than checkpoint 2.

b) we need to find the altitude of the top of the hill when that rises 329 feet about the checkpoint 3.

Explanation:

a)

The difference between 2001 and -47 is

Checkpoint 4 is 2048 ft higher than checkpoint 2.

b)

Add 329 to the altitude of the checkpoint 3.

The altitude of the top of the hill is 113 ft.

Final answer:

a) Checkpoint 4 is 2048 ft higher than checkpoint 2.

b) The altitude of the top of the hill is 113 ft.

The length of side BC is 3 units.

What are trigonometric functions?

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.

Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.

Given that angle ABC is a right angle at C and angle <ABC = 30 degrees, we can use trigonometric ratios to find the length of side BC.

Let BC = x units

Using the trigonometric ratio of sine for angle <ABC, we have:

sin(angle ABC) = opposite / hypotenuse

sin(30°) = BC / AB (opposite side is BC and hypotenuse is AB)

1/2 = x / 6

x = 6 * 1/2

x = 3

Therefore, the length of side BC is 3 units.

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Answer:

B

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:Its D

Step-by-step explanation:

Answer:

y = -3x - 1

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Point (-1, 2) (1, -4)

We see the y decrease by 6 and the x increase by 2, so the slope is

m = -6 / 2 = -3

Y-intercept is located at (0, - 1)

So, the equation is y = -3x - 1

Since the events are not mutually exclusive, there is a possibility that they occur simultaneously. Therefore, we need to consider this possibility in calculating the probability of event a occurring before event b.

Answer:

Let P(a) and P(b) be the probabilities of event a and event b, respectively. Then, the probability that event a occurs before event b is given by the formula:

P(a before b) = P(a) + P(a and b)/[1 - P(b)]

Here, P(a and b) represents the probability that events a and b occur simultaneously. Since the events are independent, we can calculate this probability as:

P(a and b) = P(a) x P(b)

Substituting this value in the formula, we get:

P(a before b) = P(a) + P(a) x P(b)/[1 - P(b)]

Simplifying this expression, we get:

P(a before b) = P(a) / [1 - P(b)]

This formula gives us the probability that event a occurs before event b, given that a and b are independent events (and not mutually exclusive). We can use this formula to calculate the probability of event a occurring before event b for any given values of P(a) and P(b).

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The percentage will be obtained will be 25%.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to tell it.

Researchers surveyed recent graduates of two different universities about

their income. ame from University A?

T graduates Income Under $20,000 $20,000 to $39,999 $40,000 and over University A .

Recent graduates of two separate institutions were polled by researchers to learn more about their earnings. Information about the sample of graduates who took the survey and responded is shown in the two-way table below.

A graduated 25% with a salary under $20,000.

As they are the students at both Universities who make less than $20,000 a year, we must add 30 and 45 to reach 75.

In order to turn it to a percentage, you must first obtain 25%.

Hence, The percentage will be obtained will be 25%.

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Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

V = Bh

Divide both sides by B

\(\dfrac{V}{B}=\dfrac{Bh}{B}\\\\\dfrac{V}{B}=h\\\)

Answer:

A.

Step-by-step explanation:

6*2 = 12

9*2 = 18

4*2 = 8

Answer is 12 yd. 18 ft. 8 in.

The coordinates when graphed will produce a quadrilateral labeled like int he attached image.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Coordinates are ordered pairs that are used to fix a location on a graph. The coordinates (x, y) are used to plot a point. The x value represents horizontal movement from the origin along the x-axis, while the y value represents vertical movement along the y-axis.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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