please help quickly!

What is the measure of Arc CB. How did you determine this?

The rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

What is rate ?

A rate is a ratio of two quantities, typically a change in one quantity over a corresponding change in another quantity, often over a specific time period. For example, the interest rate on a loan is the ratio of the interest paid to the amount of the loan. A speed is a rate at which an object covers distance, velocity is a rate of change of position, etc.

To find the rate of the jet in still air:

Rate = Distance / Time

The distance is 2964 miles, and the time is 4 hours. So the rate of the jet in still air is:

Rate = 2964 / 4 = 741 mph

To find the rate of the wind, you can use the formula:

Wind Rate = (Distance with wind - Distance against wind) / Time

The distance with the wind is 3564 miles, the distance against the wind is 2964 miles, and the time is 4 hours. So the rate of the wind is:

Wind Rate = (3564 - 2964) / 4 = 600 / 4 = 150 mph

So the rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

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Answer:1y+7x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)

4x

Answer:

The answer is 9 days

Step-by-step explanation:

First, we realise

-1.F = 1 day

-9.F = 9 days

The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

Answer:

HJ/LN = HI/LM

Step-by-step explanation:

H corresponds to L

I corresponds to M

J corresponds to N

Answer:

Step-by-step explanation:

c

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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The correct answer to the given question about possibility of the license plate is 7, 894, 720.

This problem involves counting the number of possible license plates that can be created with certain restrictions. The first two digits must be odd and repetition is not permitted. The remaining five characters can be any uppercase letter, also without repetition. By using the multiplication principle of counting, we can calculate the total number of possible license plates by multiplying the number of choices for each character position. In this case, we obtain a total of 7,894,720 possible license plates. For the first digit, there are 5 odd digits to choose from (1, 3, 5, 7, 9). After choosing the first odd digit, there are only 4 odd digits left to choose from for the second digit since repetition is not permitted.

For the third, fourth, and fifth characters, there are 26 uppercase letters to choose from for each character, with repetition not permitted. Therefore, the total number of possible license plates is:

5 × 4 × 26 × 26 × 26 × 26 × 26 = 7,894,720

So the correct answer is 7,894,720.

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The indicial equation is r^2 - 12 = 0, and the exponents for the specified singularity at x = 1 are r = ±√12.

To find the indicial equation and the exponents for the specified singularity of the given differential equation,

(x - 1)^2y" + (x^2 - 1)y' - 12y = 0 at x = 1:

Follow these steps:

STEP 1: Substitute y(x) = (x - 1)^r into the given differential equation. This will help us find the indicial equation.

STEP 2: Differentiate y(x) with respect to x to find y'(x) and y''(x):
  y'(x) = r(x - 1)^(r - 1)
  y''(x) = r(r - 1)(x - 1)^(r - 2)

STEP 3:Substitute y(x), y'(x), and y''(x) back into the given differential equation:
  (x - 1)^2[r(r - 1)(x - 1)^(r - 2)] + (x^2 - 1)[r(x - 1)^(r - 1)] - 12(x - 1)^r = 0

STEP 4: Simplify the equation:
  r(r - 1)(x - 1)^r + r(x - 1)^r - 12(x - 1)^r = 0

STEP 5: Factor out (x - 1)^r:
  (x - 1)^r[r(r - 1) + r - 12] = 0

STEP 6: Since (x - 1)^r is never zero, we can set the other factor equal to zero to find the indicial equation:
  r(r - 1) + r - 12 = 0

STEP 7: Simplify and solve for r:
  r^2 - r + r - 12 = 0
  r^2 - 12 = 0

STEP 8: Solve the quadratic equation for r:
  r = ±√12

So, the indicial equation is r^2 - 12 = 0, and the exponents for the specified singularity at x = 1 are r = ±√12.

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Answer:

C. 37 miles

Step-by-step explanation:

0.50 + 1.50 = 20

        -1.50     -1.50

0.50 = 18.50

18.50 / 0.50 = 37

The length of this pendulum that makes one full swing is 3.93 meters.

Given the following data:

To determine the length of this pendulum that makes one full swing:

Mathematically, the time taken by this pendulum is given by this formula:

\(T=2\pi \sqrt{\frac{L}{32} }\)

Making L the subject of formula, we have:

\(T^2 = 4\pi ^2 \frac{L}{32} \\\\32T^2 =4\pi ^2L\\\\L=\frac{32T^2}{4\pi ^2}\)

Substituting the given parameters into the formula, we have;

\(L=\frac{32 \times 2.2^2}{4 \times (3.14)^2 } \\\\L=\frac{32 \times 4.84}{4 \times 9.8596 }\\\\L=\frac{154.88}{39.4384}\)

L = 3.93 meters.

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Answer:

4

Step-by-step explanation:

To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

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The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function

The javelin hits the ground after 4.344 seconds

The equation of the javelin path is given as:

h(t) = -16t^2+68t+6.5

When it hits the ground, h(t) = 0.

So, we have:

-16t^2+68t+6.5 = 0

Using a graphing calculator, we have:

t = 4.344 and t = -0.094

Time cannot be negative.

So, we have:

t = 4.344

Hence, the javelin hits the ground after 4.344 seconds

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The question seems to have a typographical error, as the term "ciftiss process" is unclear. If you meant "Cp for this process," then the capability index can be calculated using the provided information of a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, if you intended to ask about a different process or acronym, please provide further clarification.

The capability index, Cp, is a measure of process capability that compares the width of the process spread to the width of the specification limits. It helps assess whether a process is capable of meeting the desired specifications. Cp is calculated by dividing the tolerance range by six times the standard deviation.

In this case, the question provides a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, it does not specify the tolerance range or the specification limits of the process. Without the tolerance range, we cannot calculate the exact Cp value.

To calculate the Cp, we need the upper and lower specification limits or the tolerance range. Without this information, we cannot determine the Cp or assess the process capability accurately.

Therefore, without the tolerance range or specification limits, we cannot calculate the capability index Cp or determine the capability of the process. It is essential to have complete information regarding the specification limits to evaluate process capability accurately.

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Answer:

286

Step-by-step explanation:

C(n,r)=?

C(n,r)=C(13,3)

=13!(3!(13−3)!)

=13!3!×10!

= 286

Answer:

360

Step-by-step explanation:

I honestly don't understand how it was 360, but I tried 240 and it didn't work.

Answer:

y = (1/2)x

Step-by-step explanation:

Lets look for an equation of the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = zero).  We can find the slope by calculating the Rise/Run between the two given points:

Going from (0,0) to (8,4):

Rise = (4-0) = 4

Run = (8-0) = 8

Slope = Rise/Run   (4/8) or (1/2)

The equation becomes y = (1/2)x + b

We need a value of b that forces the line through both points.  The point (0,0) actually tells us that b is 0, since b is the value of y when x=0.  If we weren't ask lucky to get a point where x is zero, we could cacalute b by putting either point in the above equation and solving for b:

y = (1/2)x + b

4 = (1/2)*(8) + b  for (8,4)

b = 0

The equation is y = (1/2)x

See the attached graph.

Answer:

up

Step-by-step explanation:

a is positive

Therefore the correct option is, P(Z < -1.75) where Z is a standard normal random variable.

To calculate the probability P(X > 17.5) for a normally-distributed random variable X with mean 14 and standard deviation 2, we can use the standardization process.

First, let's calculate the z-score for the value 17.5:

z = (X - μ) / σ = (17.5 - 14) / 2 = 3.5 / 2 = 1.75

Now, let's evaluate the given options:

P(X < 10.5) where X is described as above:

To calculate this probability, we can calculate the z-score for the value 10.5 using the same formula as above:

z = (X - μ) / σ = (10.5 - 14) / 2 = -3.5 / 2 = -1.75

P(Z > 1.75) where Z is a standard normal random variable:

This probability represents the area under the standard normal distribution curve to the right of z = 1.75.

P(Z < -1.75) where Z is a standard normal random variable:

This probability represents the area under the standard normal distribution curve to the left of z = -1.75.

P(Y < 1.25) where Y is normally distributed with mean 10 and standard deviation 5:

This option involves a different random variable Y with a different mean and standard deviation. We cannot directly compare it to the other options without additional information or calculations.

From the given options, the probabilities that are equal to P(X > 17.5) are:

P(Z < -1.75) where Z is a standard normal random variable.

Therefore, the correct option is:

P(Z < -1.75) where Z is a standard normal random variable.

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Answer: 60.

Step-by-step explanation:

Let in a right triangle one of the legs is 25, and the hypotenuse is 65.

Hence, the other leg is:  \(\sqrt{65^2-25^2}=\sqrt{4225-625}=\sqrt{3600}=60.\)

Answer:

0.705

Step-by-step explanation:

| -1/2 - 1/8| + ( -3/4 + 5/6)

| -1/2 - 1/8| + ( -0.75 + 0.83)

| -1/2 - 1/8| + 0.08

| -0.5 - 0.125| + 0.08

|-0.625| +0.08

0.625+0.08

0.705

hope it helps

Answer:

Coefficient

Step-by-step explanation:

Answer:

b) 7

Step-by-step explanation:

f(x)= 2x + 3

f(2) = 2(2) + 3

f(2) = 4 + 3

f(2) = 7

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3

Answer:

B) x = -4

Step-by-step explanation:

\(\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4\)

Answer:

254/2=127

127*3=381

381+1=382

Step-by-step explanation:

254/2 because 2/3 of the students is 254 and this is to simplify it

127*3 because 127 is 1/3 of the total number of students so 127*3 would be 3/3 of the students or all of them

381+1 because we had to take out 1 of the students because there was an aditional vote so we add him back in

The Answer Is: 382

Equation: (254/2)*3+1

Smallest possible value of the sum of their squares is 128.

Maximum and Minimum value:

                                               The minimum is the smallest value in the data set,while maximum is the largest value in the data set.

Let,

       x and y be the required numbers.

and S be the sum of squares of these values,

According to question,

          x + y = 16  ----------- (I)

and,

              \(S =x^2 +y^2\)   -------------(II)

            from (I) and (II)

        S = \(x^2 + (16 - x)^2\)

By Simplifying the above equation using algebraic identity

               \((a-b)^2 = a^2+ b^2 -2ab\) , we get

                    \(S = x^2 + 16^2 +x^2 -2*16*x\\\\ = x^2 + 256 +x^2 -32x\\\\= 2x^2 -32x +256\)

Thus,

           \(S= 2x^2 -32x +256\\\\\)

             \(S = 2(x^2 -16x +128)\\\\ = 2[ x^2 -2*8*x +8^2 +64]\\ \\ = 2[ (x-8)^2 + 64]\\\\S = 2[ (x-8)^2 + 64]\)

Value of S will be minimum when, x=8

at x=8

           S = 2[0 + 64]

              = 2 *64

              =128

Smallest value of S is  128

Thus,

       Smallest possible value of the sum of their squares is 128.

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Answer:

B = 3

Step-by-step explanation:

3x + 15 = 4x + 12

= 15-12=4x-3x

= 3 = x

X = 3