The radius of a circle is 12 miles. What is the circle's area?

The volume of the solid of revolution generated by revolving the region under the curve y = √x from x = 0 to x = 10 about the x-axis is approximately 1046.67 cubic units.

To find the volume of the solid of revolution, we can use the method of cylindrical shells. The volume of each cylindrical shell is given by the formula V = 2πrhΔx, where r is the radius of the shell, h is the height of the shell, and Δx is the width of the shell.

In this case, the radius of the shell is given by r = √x, and the height of the shell is h = y = √x. Since we are revolving the region about the x-axis, the width of each shell is Δx.

To find the volume, we integrate the formula V = 2π∫(√x)(√x)dx over the interval [0, 10].

Evaluating the integral, we get V = 2π∫(x)dx from 0 to 10.

Integrating, we have V = 2π[(x^2)/2] from 0 to 10.

Simplifying, V = π(10^2 - 0^2) = 100π.

Approximating π as 3.14159, we find V ≈ 314.159 cubic units.

Therefore, the volume of the solid of revolution generated by revolving the region under the curve y = √x from x = 0 to x = 10 about the x-axis is approximately 1046.67 cubic units.

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Answer:

I guess it's 2 intersecting lines cuz I can't see the graph

The measure of the central angle m ∠JIK is 160°.

Given that the circle I, in which IJ is the radius of 9 units, the area of shaded sector = 36π, we need to find the m ∠JIK, the central angle.

Area of the sector = central angle / 360° × π × radius²

∴ 36π = m ∠JIK / 360° × π × 9²

m ∠JIK = 360° × 4 / 9

m ∠JIK = 160°

Hence, the measure of the central angle m ∠JIK is 160°.

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Step-by-step explanation:

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

103.903 =

100

+ 0

+ 3

+ 0.9

+ 0.00

+ 0.003

Expanded Factors Form:

103.903 =

1 × 100

+ 0 × 10

+ 3 × 1

+ 9 × 0.1

+ 0 × 0.01

+ 3 × 0.001

Expanded Exponential Form:

103.903 =

1 × 10\( {}^{2} \)

+ 0 × 10\( {}^{1} \)

+ 3 × 10\( {}^{0} \)

+ 9 × 10\( {}^{-1} \)

+ 0 × 10\( {}^{-2} \)

+ 3 × 10\( {}^{-3} \)

Answer:

No

Step-by-step explanation:

A triangle with a side of five is only a perfect right triangle when it's in a 5,12,13 ratio.

Furthermore, to check, 5^2 is 25 and 3^2 is 9. 25+9 is 34, which doesn't not have a square root of 6.

The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.

J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)

Here,C = price of the put option

S = price of the stock

N(d1) = cumulative probability function of d1

N(d2) = cumulative probability function of d2

K = strike price

T = time to expiration (in years)

t = time to expiration (in days)/365

r = risk-free interest rate

For the given data, S = 178

K = 171

r = 6% or 0.06

T = 60/365

= 0.1644

t = 60N(d2)

= 0.63687

Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.

√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1

= 0.21577

The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C

= $8.11

Therefore, the put option should be worth $8.11.

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Answer:

Choice C Rational

Step-by-step explanation:

Answer:

d irrational

Step-by-step explanation:

i did it

Step-by-step explanation:

Substitute n = 4 into the expression:

\(2(4)-7\)

Solve:

\(8-7\)

\(1\)

Substitute n = 4 into the expression:

\(3(4)^{2} +2(4)-5\)

Solve:

\(48+8-5\)

\(56-5\)

\(51\)

Substitute n = 4 into the expression:

Is the expression \(-n^{3} ?\)

\(-4^{3}\)

Multiply:

\(-4 \times -4 \times -4= -64\)

The first step is the parenthesis

The equation is given as:

8(2x+4) = 2(1x+3)

Using PEMDAS, the first step is to open the brackets by multiplication.

So, we have:

16x + 32 = 2x + 6

Hence, the first step is the parenthesis

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GIven:

To Determine: The equivalent of the given expression

Distributing the sign outside as shown below:

Hence, the equivalent expression by distributing the sign outside the given expression is:

8.4n+1

Answer:

51 liters of fuel is needed more to fill the tank

Step-by-step explanation:

When the gauge is full, the volume of fuel in the tank is 68 liters.

Now it is 1/4 full.

The amount of fuel it has when it is 1/4 full would be 1/4 * 68 = 17 liters

Now, we need to know how many more liters of fuel until the tank is full.

What we just need to do here is to subtract the volume when it is quarter full from the volume when it is full.

That would be 68 liters - 17 liters = 51 liters

22.44% probability that the marbles are red, 77.55% probability that they are blue

Answer:

h

Step-by-step explanation:

hmkjkljlj

Answer:

500 grams

Step-by-step explanation:

will be the answer

hp it helps you

Answer:

0.005

Step-by-step explanation:

The simple interest using the formula i = prt is $9,000.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account.

Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Simple interest is preferable for borrowers since, without compounding, overall interest costs will be lower.

So, the simple interest will be:

We know that Oliver borrowed $1500.

The interest rate was 12%.

The time period was 6 months.

We have the formula: i = prt

Now, substitute the values and calculate as follows:

i = prt

i = 1500 × 12 × 6/12

i = 1500 × 12 × 1/2

i = 1500 × 6

i = 9,000

Therefore, the simple interest using the formula i = prt is $9,000.

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The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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Answer:

Every second

Step-by-step explanation:

im doing the same thing i have the answer already

Answer:

Step-by-step explanation:

Given:

Rewrite it as:

Since all A, B, C are integers from 0 to 9, A can be 1 only, then we have:

or

It gives us:

The equation is:

Answer:

ABC=198

Step-by-step explanation:

If you do 11+99+88 then you get 198 which is true to the problem that you have.

Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer:

a = \(\frac{1}{2}\) , b = 5, and  \(\frac{2b}{a}\) = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

\(\frac{2}{4}\) = \(\frac{4a}{4}\)                           Divide 4 on both sides to isolate the variable a

\(\frac{2}{4}\) = a                            Simplify

\(\frac{1}{2}\) = a

Then,

The second part says to find \(\frac{2b}{a}\)

\(\frac{2b}{a}\)

\(\frac{2(5)}{(\frac{1}{2}) }\)                  Input both the values of a and b

\(\frac{10}{\frac{1}{2} }\)                    Simplify

20.

The answer for a is \(\frac{1}{2}\), the answer for b is 5, and the answer for \(\frac{2b}{a}\) is 20.

The trigonometric functions are

sin θ = 4/5

cos θ = -3/5

csc θ = 5/4

sec θ = -5/3

cot θ = 3/4

Given that tan θ = 4/3 and θ is in quadrant II, we can use the Pythagorean theorem and quotient identities to find the remaining trigonometric functions.

Since tan θ = 4/3, we can let the opposite side be 4 and the adjacent side be 3 (in the unit circle).

Using the Pythagorean theorem, we can find the hypotenuse:

hypotenuse^2 = adjacent^2 + opposite^2

hypotenuse^2 = 3^2 + 4^2

hypotenuse^2 = 9 + 16

hypotenuse^2 = 25

hypotenuse = 5

Now, we can find the remaining trigonometric functions:

sin θ = opposite / hypotenuse = 4/5

cos θ = adjacent / hypotenuse = -3/5 (in quadrant II, cosine is negative)

csc θ = 1 / sin θ = 5/4

sec θ = 1 / cos θ = -5/3

cot θ = 1 / tan θ = 3/4

Therefore, the remaining trigonometric functions are:

sin θ = 4/5

cos θ = -3/5

csc θ = 5/4

sec θ = -5/3

cot θ = 3/4

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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No, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

Here,

A function f defined on [ 4 , 5 ].

We have to find, is it possible to f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

What is Intermediate value theorem?

Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.

Now,

A function f defined on [ 4 , 5 ].

Assume that the function,

f :  [ 4 , 5 ] → Z is a non constant continuous function.

Then, f(4) and f(5) both are integers and not equal to each other.

By, Intermediate value theorem;

Function f takes all real numbers between f(4) and f(5) at least once.

These would contain all non integers rational and irrational number between f(4) and f(5), contradicting the assumption that function takes only integer values.

Hence, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

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a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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Answer:

i think it is the 2nd one and the 5th one.

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

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