The figure below shows part of a circle, with central angle as marked. What
part of the full circle does the figure represent? Express your answer as a
fraction in simplest terms.

Answer:

Subtract than divide

Step-by-step explanation:

Answer:

t53

Step-by-step explanation:

Answer:

-5,6,-2/3,1 1/3,0

Step-by-step explanation:

I think this how it goes try it out or not i need help to

Answer:

240 inch

Step-by-step explanation:

Step-by-step explanation:

Total letters = 11

Probability of letter M = 2/11

Probability of second M = 1/10

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

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Answer:

The answer is below

Step-by-step explanation:

There are various tips or suggestions on how others can represent real-life situations using rational functions​, one of them is the application of a work problem formula.

By using the work problem formula, one can measure the time it will take different people working at different speeds to complete the work. With the formula w =r*t. Where w = work done, r = rate of work donee, and t = time

One tip or suggestion on how others can represent real life situations using rational functions is;

Modelling the density of an object by the formula; density = mass/volume

Similarly, when looking for average speed travelled by a vehicle, it is given by the formula;

speed = distance/time

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The line passing through the points (1, 0, 1) and (5, -2, 5) intersects the plane x + y + z = 14 at the point (3, -1, 11).

To find the intersection point, we can first find the direction vector of the line by subtracting the coordinates of the two given points.

The direction vector is (5 - 1, -2 - 0, 5 - 1) = (4, -2, 4).

Next, we can substitute the coordinates of one of the points (1, 0, 1) into the equation of the plane x + y + z = 14 to find the value of the parameter t at that point. By substituting the values into the equation, we get 1 + 0 + 1 = 14, which simplifies to 2 = 14. This implies that t = 2.

Finally, we can find the coordinates of the intersection point by substituting t = 2 into the parametric equations of the line. The x-coordinate is given by x = 1 + 4t = 1 + 4(2) = 9.

y-coordinate is y = 0 + (-2)t = 0 + (-2)(2) = -4. The z-coordinate is z = 1 + 4t = 1 + 4(2) = 9. Therefore, the intersection point is (9, -4, 9).

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The equation that represents the gallons of paint used by Cj to paint his room is y = \(1\frac{3x}{5}\).

In mathematics, an equation is when two or more expressions are joined by an equal to sign.

The mathematical operations that would be used to determine the equation are division and multiplication. Division is the mathematical operation that is used to determine the quotient of two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Gallons used to paint in x hours = (minutes in a hour x gallons used in 15 minutes) / number of minutes

(60 x \(\frac{1}{3}\)) / 15 = \(\frac{20}{15}\) = \(1\frac{5}{15}\) =  \(1\frac{3x}{5}\). gallons per hour

y = \(1\frac{3x}{5}\).

Here is the complete question:

CJ was painting his apartment. In 15 minutes, CJ had used 1/3 gallon of paint. Write an equation that represents the gallons of paint used, y, in x hours.

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The factor of independent variable that were in the study will be 2.

It should be noted that an independent variable is the variable that the experimenter changes in order to test the dependent variable.

In this case, if a 2 x 3 factorial design with between subjects variables was carried out with 8 subjects per cell, the independent variable factor is 2.

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The final solution to the integral is ∫ (2x / (36 - x²)) dx = -2ln|√(1 - (x/6)²)| + C

We can use a trigonometric substitution to solve the integral ∫ (2x / (36 - x²)) dx.

Let's start by making the substitution

x = 6sin(θ)

Differentiating both sides with respect to θ:

dx = 6cos(θ) dθ

Now, let's substitute x and dx in terms of θ:

∫ (2x / (36 - x²)) dx = ∫ (2(6sin(θ)) / (36 - (6sin(θ))²)) (6cos(θ)) dθ

Simplifying the expression:

∫ (12sin(θ) / (36 - 36sin²(θ))) (6cos(θ)) dθ

∫ (12sin(θ) / (36(1 - sin²(θ)))) (6cos(θ)) dθ

∫ (12sin(θ) / (36cos²(θ))) (6cos(θ)) dθ

Canceling out the common terms:

∫ (2sin(θ) / cos(θ)) dθ

∫ 2tan(θ) dθ

Now we integrate with respect to θ:

∫ 2tan(θ) dθ = -2ln|cos(θ)| + C

Finally, we substitute back the value of θ in terms of x:

-2ln|cos(θ)| + C = -2ln|cos(arcsin(x/6))| + C

= -2ln|cos(arcsin(x/6))| + C

= -2ln|cos(sin⁻¹(x/6))| + C

= -2ln|√(1 - (x/6)²)| + C

Therefore, the final solution to the integral is:

∫ (2x / (36 - x²)) dx = -2ln|√(1 - (x/6)²)| + C

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The question is incomplete the complete question is :

Solve the integral of  ∫ (2x / (36 - x²)) dx.  using any method discussed in class. You must show all of your steps and how you arrived at your final answer.

Power is the probability that a test correctly rejects a false null hypothesis​.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.

Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.

The equation of power is:

Power=1-β

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Answer:

36ft squared

Step-by-step explanation:

(3 * 3) /2= 4.5

4.5 * 8= 36ft squared

Answer:

254.47 (exact)

Step-by-step explanation:

Answer:

• Given a line segment AB

• open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

• Call the two points where these two arcs meet C and D. Draw the line between C and D.

• CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB M.

\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

Answer:

C. x=-48

Step-by-step explanation:

x/4=-12

multiply both sides by 4

4x/4=4 (-12)

simplify

x=-48

The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year.

To forecast the receipt for October, we need to find the value of Y when t=3 (since t=0 corresponds to July, August would be t=1, September would be t=2, and October would be t=3).Therefore, we can substitute t=3 in the equation above to get: $$Y_{3}=3,700+300(3)$$$$Y_{3}=3,700+900$$$$Y_{3}=4,600$$

Therefore, the forecast for October of this year is $4,600. The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year. The answer to the given question is: The forecast for October of this year is $4,600.

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Answer:

37.5°

Step-by-step explanation:

180-105=75

75/2=37.5

Answer:

x°=21°

Step-by-step explanation:

the angle where b is, is 54°, and this angle is equal to the angle that's left of 105°. The degree of line DE is 180°. Subtract 105° and 54° from 180° to get the missing angle that's on the right side of 105°. That angle would be 21°, and this angle is directly across the missing x°. So, x°=21°.

180-105-54=21 ----> this angle is directly across from the missing x°.

Answer: a = 8.4

Step-by-step explanation:

Answer:

C. \(2^{3} x3^{2}\)

Step-by-step explanation:

\(2^{3} x3^{2}\)

\(2^{3} =8\)

\(=8x\)·\(3x^{2}\)

\(3^{2} =9\)

\(=8x\)·\(9\)

Then multiply 8 · 9 = 72

\(=72\)

hopefully this helps you !

There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.

Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.

Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.

The likelihood that your phone will be stolen can be determined using law of total probability by:

P(S) = P(S|L)P(L) + P(S|C)P(C)

      = 0.3 * 0.4 + 0.6 * 0.6

      = 0.12 + 0.36

P(S) = 0.48

Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.

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Answer:

5n+7=R

Plug in any number and you can find R

Answer:

700 ml

Step-by-step explanation:

If the 15cm bottle holds 500ml of water, you can create the ratio of 15:500, which simplifies to 3:100.

Since the second bottle is 21cm, you find 21:x.

Because you already have 3:100 as given from the first bottle, if you multiply both sides by 7 you get 21:700.

This means the second bottle holds 700ml.

Answer:

700 mi of water

Step-by-step explanation:

We can divide 21 by 15 to how many times greater they are to each other

21÷15=1.4

Since the 15 cm bottle of water can hold 500 mi we multiply 500 • 1.4 = 700mi

Brainliest please

Answer:

power and authority are concentrated in the central government and can take away people's right

Step-by-step explanation:

plsss mark brainliest

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer:

slope= -5/2

slope= -1

slope=1/2

10. slope=-1/3

-5y=7x+20

y=-7/5x-4

11. slope=-7/5

y=-5x+3

12. slope = -5