Find the volume of the right cone below. Round your answer to the nearest tenth if necessary. 20/7

C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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Answer:

24 square metres

Step-by-step explanation:

Its basic math. You do 4 x 6 and you get the area.

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:

\(y=0.2*4^{x}\)

Step-by-step explanation:

Notice when x increases 1, y is 4 times the previous one, so

the function is like \(y=C*4^{x}\)

To determine the constant C, put any pair of (x, y)

Use x = 0, y = 0.2, so

0.2 = \(C*4^{0}\) = C * 1 = C

then \(y=0.2*4^{x}\)

Answer:

\(y=(0.2)4^x\)

Step-by-step explanation:

General form of the exponential function: \(y=ab^x\)

Substituting the first point (0, 0.2) into the function:

\(\implies 0.2=ab^0\)

As any number to the zero power always gives one, \(b^0=1\)

\(\implies0.2=a \times 1\)

\(\implies a=0.2\)

Therefore, \(y=(0.2)b^x\)

Substituting the second point (1, 1.8) into the function:

\(\implies0.8=(0.2)b^1\)

\(\implies0.8=(0.2)b\)

\(\implies b=\frac{0.8}{0.2}\)

\(\implies b=4\)

So the final exponential equation is:

\(y=(0.2)4^x\)

Checking the equation with the remaining two points:

\(x=2 \implies (0.2)4^2=3.2 \ \ \ \checkmark\)

\(x=3 \implies (0.2)4^3=12.8 \ \ \ \checkmark\)

Answer:

6-10 equals -3

Step-by-step explanation:

To convert the point from rectangular coordinates to spherical coordinates are (3 sqrt(2), π/4, 0.638), we need to use the following formulas:

- rho = sqrt(x^2 + y^2 + z^2)
- phi = arccos(z/rho)
- theta = arctan(y/x)
In this case, we have the rectangular coordinates (-2, -2, √19), so we can plug these values into the formulas:
- rho = sqrt((-2)^2 + (-2)^2 + (√19)^2) = sqrt(4 + 4 + 19) = 3 sqrt(2)
- phi = arccos(√19 / (3 sqrt(2))) = arccos(√19 / (3 sqrt(2))) ≈ 0.638 radians
- theta = arctan((-2)/(-2)) = arctan(1) = π/4 radians

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The precise quadratic equation, according to the provided assertion, is y = (1/9)x² + (2/9)x - 1/3.

Three elements decide a quadratic function of the formula f(x) = ax² + bx + c. A quadratic function can be determined by getting a, b, and c algebraically given three locations on the graph. In order to do this, a system of eqs with three unknowns must be solved.

To find the quadratic function that passes through the point (-8, 5) and has zeros at x = -3 and x = 1, we can start by using the factored form of a quadratic function:

y = a(x - r)(x - s)

where r and s are the zeros of the function. Substituting in the given zeros, we get:

y = a(x + 3)(x - 1)

To find the value of a, we can use the fact that the function passes through the point (-8, 5). Substituting these values into the equation, we get:

5 = a(-8 + 3)(-8 - 1)

Simplifying this expression, we get:

5 = a(-5)(-9)

5 = 45a

a = 1/9

Substituting this value of a into the equation we get:

y = (1/9)(x + 3)(x - 1)

Expanding the equation, we get:

y = (1/9)(x² + 2x - 3)

Multiplying both sides by 9 to eliminate the fraction, we get:

9y = x² + 2x - 3

So the quadratic function that passes through the point (-8, 5) and has zeros at x = -3 and x = 1 is:

9y = x² + 2x - 3

or

y = (1/9)x² + (2/9)x - 1/3.

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Answer:

5

2

8

4

6

1

3

7

Step-by-step explanation:

Answer:

p = 16/8 = 2

Step-by-step explanation:

We know that the pencils were divided into 8 groups of 2.

Then the total number of pencils is equal to 8  (the number of groups) times 2 (the number of pencils in each group)

8*2 = 16

The total number of pencils is 16.

Then the operation of dividing 16 pencils into 8 groups is written as:

16/8

And we know that this is equal to 2, then the operation is:

16/8 = 2.

Then the equation is:

p = 16/8 = 2

where p represents the number of pencils in each group.

Main answer: The general solution of the given differential equation using the Frobenius method is y(x) = c₁x²(1-x²) + c₂x².

Supporting explanation: Given differential equation is xy′ + 2y′ + xy = 0 We can write the equation as, x(y′ + y/x) + 2y′ = 0 Dividing by x, we get (y′ + y/x) + 2y′/x = 0Let y = x² ∑(n=0)ⁿ aₙxⁿ Substituting this into the differential equation, we get: x[2a₀ + 6a₁x + 12a₂x² + 20a₃x³ + ..........] + 2[a₀ + a₁x + a₂x² + ..........] + x[x² ∑(n=0)ⁿ aₙxⁿ](x = 0)So, a₀ = 0 and a₁ = -1. Then the recurrence relation is given as:(n+2)(n+1) aₙ₊₂ = -aₙ Solving this recurrence relation, we get the series as, a₂ = a₄ = a₆ = .......... = 0a₃ = -1/4a₅ = -1/4.3.2 = -1/24a₇ = -1/24.5.4 = -1/240a₉ = -1/240.7.6 = -1/5040∑(n=0)ⁿ aₙxⁿ = -x²/4 [1 - x²/3! + x⁴/5! - ........] + x²c₂On simplifying the equation, we get y(x) = c₁x²(1-x²) + c₂x².

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The solution set of inequality is x < 6.

And, The graph of the solution set is shown in figure.

Here,

The written expression is given as,

''Eight less than the product of -3 and a number is greater than -26.''

We have to solve an inequality and find the graph of solution set.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Now,

The condition is given as;

Eight less than the product of -3 and a number is greater than -26.

Let a number is x.

Then, The inequality is written as,

-3x - 8 > -26

Solve the inequality as;

-3x - 8 > -26

Add 8 both sides, we get;

- 3x - 8 + 8 > -26 + 8

- 3x > -18

Divide both side by 3,

-x > -6

After multiply with negative sign, we get;

x < 6

Hence, The solution set of inequality is x < 6.

And, The graph of the solution set is shown in figure.

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Answer:

On a coordinate plane, a straight line crosses the y-axis at (0, 0)

Step-by-step explanation:

Required

Which represents a proportion

For a graph to represent a proportion, the line of the graph must pass through the origin (i.e. it must pass through (0,0))

From the list of options, only option (a) passes through (0,0).

Other options (b - d) pass through points other than the origin.

Hence, (a) is correct

Lengths of time it takes for new light bulbs to burn out are an example of continuous numerical data type.

Quantitative information that can be measured precisely and that can take on any value within a range is known as continuous numerical data. Measurements of length, time, weight, temperature, and many other quantifiable physical qualities are examples of continuous numerical data.

Continuous numerical data can have any value as long as it falls within a specified range, and using mathematical operations like addition, subtraction, multiplication, and division, it is possible to compare and analyze the numbers.

Since it alludes to a continuous range of precise numerical values. The duration of time in this scenario is expressed in hours, minutes, or seconds and can have any value within a specific range, for example, 0.5 hours, 1.25 hours, 2.75 hours, and so on.

Numerical data types like float and decimal can be used to represent continuous numerical data.

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The Annual Percentage Yield (APY) in this situation is approximately 2.454%.

To find the Annual Percentage Yield (APY) in this situation, use the formula:

\(APY = (1 + r/n)^n - 1\)

where:

- r is the annual interest rate (APR) expressed as a decimal,

- n is the number of compounding periods per year.

In this case, the APR is 2.42% or 0.0242 (expressed as a decimal), and the interest is compounded monthly, so there are 12 compounding periods per year (n = 12).

Substituting these values into the formula,

\(APY = (1 + 0.0242/12)^{12} - 1\)

Calculating this expression:

\(APY = (1 + 0.002017)^{12} - 1\)

  \(= (1.002017)^{12} - 1\)

   ≈ 0.02454 or 2.454%

Therefore, the Annual Percentage Yield (APY) in this situation is approximately 2.454%.

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Answer:

y = \(-\frac{1}{3}x-\frac{2}{3}\)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Since, the given line passes through two points (-5, 1) and (4, -2)

Slope of the line 'm' = \(\frac{1+2}{-5-4}\) = \(-\frac{1}{3}\)

Equation of the line will be,

y = \(-\frac{1}{3}x+b\)

Since, this line passes through (4, -2),

-2 = \(-\frac{4}{3}+b\)

b = \(\frac{4}{3}-2\)

b = \(-\frac{2}{3}\)

Therefore, equation of the line will be,

y = \(-\frac{1}{3}x-\frac{2}{3}\)

84 degrees

Step-by-step explanation:

180=60+36+x

180=96+x

-96 -96

x=84

Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.

Since, there was a broken bowl nearby the dead bodies,

it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.

Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.

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Answer:

√104 in

Step-by-step explanation:

Well to start off we can use Pythagorean's theorem ~ A^2 + B^2 = C^2

in this case we will indirectly use this formula. Now we know this; A^2 + 11^2 = 15^2

Let's start using some algebra now B )

A^2 + 121 = 225 > A^2 = 225 - 121 > A^2 = 104 > A = √104

Which is the answer. ALso if you're the brainy type and want to know how to simplify this even further...

Can the Square Root of 104 Be Simplified?

104 can be simplified only if you can make 104 inside the radical symbol smaller. This is a process that is called simplifying the surd. In this example, the square root of 104 can be simplified.

√104 = 2√26.

The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.

Answer:

63 units

Step-by-step explanation:

d = √(x2-x1)^2 + (y2-y1)^2

Meaning it would look like this

d = √(15+48)^2 + (23-23)^2

we changed the subtraction sign in the first one to an addition sign because it was a double negative

hope this helped

Answer:

15 + 5x = 25 + 5x

You will never have the same amount of money as your friend.

Step-by-step explanation:

Let x be the number of weeks that have passed since you and your friend started saving.

The amount of money in your savings account after x weeks is 15 + 5x.

The amount of money in your friend's savings account after x weeks is 25 + 5x.

Therefore, the system of linear equations that represents this situation is:

15 + 5x = y (equation for your savings account)

25 + 5x = z (equation for your friend's savings account)

where y represents the amount of money in your savings account after x weeks and z represents the amount of money in your friend's savings account after x weeks.

To determine if you will ever have the same amount of money as your friend, we can solve the system of equations by setting y equal to z:

15 + 5x = 25 + 5x

Simplifying, we see that the equation reduces to:

15 = 25

This is a contradiction, since 15 is not equal to 25. Therefore, there is no solution to this system of equations in which y is equal to z, which means that you will never have the same amount of money as your friend.

Answer: 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Step-by-step explanation:

Hence, 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Answer:

P(less than 2) = P(1) = 1/6

A is correct.

Over the first 12 days of the month, Harmie used 2.52 CCF of water. If she continues at this rate, how many CCF's of water will she use at the end of 30 days?​

we have that

12 days ------> 2.52 CCF

so

Applying proportion

Find out how many CCF's of water will she use at the end of 30 days

2.52/12=x/30

solve for x

x=(2.52/12)*30

x=6.3 CCF

a) 1. x(n) = {-3, 2, -2, 1, 5, -3, 6}, 2. x(-n) = {-6, 3, -5, 1, -2, 2, -3}, 3. x(2n) = {-3, -2, 5, 6}, 4. x(n/2) = {-3, -2, 1}, 5. x(2n-3) = {1, -2}, 6. x(2n+3) = {-2, 6}, 7. x(-n/2-2) = {-2, 1, 5, -3}, 8. x(2-2n) = {6, -3}

b) The energy of the given signal x(n) is 88.

i) To sketch the signal x(n), x(-n), x(2n), x(n/2), x(2n-3), x(2n+3), x(-n/2-2) and x(2-2n), we have to apply the given operations on the original signal x(n):

1. x(n) = {-3, 2, -2, 1, 5, -3, 6}

2. x(-n) = {-6, 3, -5, 1, -2, 2, -3}

3. x(2n) = {-3, -2, 5, 6}

4. x(n/2) = {-3, -2, 1}

5. x(2n-3) = {1, -2}

6. x(2n+3) = {-2, 6}

7. x(-n/2-2) = {-2, 1, 5, -3}

8. x(2-2n) = {6, -3}

ii) The energy of a discrete-time signal x(n) is defined as the sum of the squared magnitude of each sample of the signal that can be represented as:

E = ∑|x(n)|² from n=-∞ to n=+∞

For the given signal x(n)={-3, 2,-2, 1, 5,-3, 6}, the energy is

E = |-3|² + |2|² + |-2|² + |1|² + |5|² + |-3|² + |6|²

E = 9 + 4 + 4 + 1 + 25 + 9 + 36

E = 88

Therefore, the energy of the given signal x(n) is 88.

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Answer:

c mystify

Step-by-step explanation:

mystify means

utterly bewilder or perplex (someone).

"maladies that have mystified and alarmed researchers for over a decade"

Answer:

−2c+22

Step-by-step explanation:

The amount of josh's taxes for the year 2015 is $16482 (round to the nearest dollar).

The goal of a tax return are straightforward: It is a set of paperwork which must fill out to demonstrate to the government what more money you made and how much tax you have already paid for the year.

Now, according to the question;

tax rates are 10%, 15% and 25%.

Josh's taxes = 10%×9075 + 15%×(36900-9075) + 25%×(82500-36900)

                    = $907.5 + $4173.75 + $11400

Josh's taxes = $16481.25

Therefore, The amount of josh's taxes for the year 2015  (round to the nearest dollar) is $16482.

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Answer:

45/r

Step-by-step explanation:

You're just doing 45 divided by r.