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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Yes, you are right with the second option shown in the figure .

For example, 3/2 is a rational number. It denotes that the number 3 is divided by the integer 2.

second option is correct because all the other number are exceeding the number given in the question.

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Answer:

t(x)=28

none

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

it's three because ur trying to find the median so if u put it together it will be -18,-13,-6,-6,3,4,11,13,20 and to find whats between those numbers it will be 3

Answer:

Answer:

Step-by-step explanation:

3:12:9

Divide by 3

3/3:12/3:9/3

1:4:3

This is the simplest form

Step-by-step explanation:

Answer:

Step-by-step explanation:

you said find the inverse right?  

To find the inverse, interchange the variables and solve for y

Use the distance formula to solve for the direct distance from (4,-4) up to (-14,8)

Since 1 grid is equal to 0.125 miles. Multiply the distance in units and we get

Rounding to 2 decimal places, the direct distance is 2.70 miles.

C. Whole

Answer:

m

Step-by-step explanation:

Answer:

a)     H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b)     0 sign changes

c)      0 negative real solutions

d)     4 imaginary solutions

Step-by-step explanation:

a) Replace every x with (-x) and rewrite the function below

    H(x) = 4x⁴ - 5x³ + 2x² - x + 5

    H(-x) = 4(-x)⁴ - 5(-x)³ + 2(-x)² - (-x) + 5

    H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b) How many sign changes are there in this new function?

0 (zero) sign changes in the new function (terms 5x³ and x)

c) How many negative real roots are possible?

0 (zero) negative real solutions possible.

d) How many possible complex roots are there?

There are 4 or 2 or 0 positive roots for the function and 4 total roots for this function; Given the degree of the function is also 4, there can be 0 or 2 or 4 complex roots for the function. If you were to graph H(x), you would see that the function never touches or crosses the x-axis. Therefore, the function has 4 imaginary roots and no real roots.

Answer:

5^6

5^6 is the same thing as

5^6=5×5×5×5×5×5

=5×5=25×5=125×5=625×5=3125×5=15625

5^6= 15625

Answer:

125 * 125

Step-by-step explanation:

do 125 x 125 = 15625

Answer:

(b1+b2)h divided by 2 is the formula for a trapezoid

Step-by-step explanation:

ANSWER: 468 ft (squared?)

i didnt see the - on the 11 and 8 my bad :(

Answer:

88?

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c.

In the case where the particular car Roy wants, enterprise charges an amount of $185 per week with additional 25 cents per mile driven and Avis charges a flat fee of $275 per week, the number of miles driven where renting from enterprise be the less expensive option is less than 3.6 miles.

In the case of enterprise, the cost can be expressed in terms of miles driven, say x as 185 + 25x. In order for the renting from enterprise option to be less expensive than Avis

185 + 25x < 275    

25x < 275 - 185

x < 90/25

x < 3.6 miles

Therefore, if Roy is driving 3.6 miles or less, enterprise option will be the least expensive option.

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Answer:

11.1

Step-by-step explanation:

Using SOH CAH TOA (O=opposite, H=hypotenuse, A=adjacent). we can determine that to find x we need to use the cosine function.

Since cos=A/H, we can plug in the two numbers we have.

cos(42)=A/15  (Make sure your calculator is in degrees!!!)

Multiply 15 on both sides to isolate A and solve for cos(42) in your calculator.

15cos(42)=A,  or approximately 11.1

The Odds in favour for ball landing on even is 10 to 9.

The Odds against for ball landing on even is 9 to 10.

The given number of slots is 38.

By using the empirical formula of probability we have,

P(E) = (number of times an event occurs) / (total number of trials)

There are 20 ways it can land on even slot

{0,00,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36}

The probability of ball landing on even slot= 20/38

The landing on even number = favorable cases to unfavorable cases

The probability of ball landing on even slot= 20/38 = 10/9

Therefore, Odds for ball landing on even is 10 to 9.Odds against ball landing on even is 9 to 10.

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Answer: 21 units^2

explanation: mark me brainiest

Answer:

(0,0) (4,5,200) I think

Step-by-step explanation:

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

The z-score of a bag containing 178 peanuts is -2.03.

Step-by-step explanation:

A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.

The formula to compute z-score is:

\(z=\frac{x-\mu}{\sigma}\)

The information provided is:

x = 178

μ = 184.7

σ = 3.3

Compute the z-score of a bag containing 178 peanuts as follows:

\(z=\frac{x-\mu}{\sigma}\)

  \(=\frac{178-184.7}{3.3}\\\\=-2.03\)

Thus, the z-score of a bag containing 178 peanuts is -2.03.

Answer:

Step-by-step explanation:

Answer:

The KOT club has 5 pledges and can send between 2 and 4 pledges to work at Goodwill on Helping-Out Day. This can be done in 10 different ways

Step-by-step explanation:

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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The maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is approximately 3.433 ounces.

To find the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight given that you measure 38 turtles' weights, and find they have a mean weight of 62 ounces and the population standard deviation is 11.9 ounces, you can use the formula for margin of error, which is:

Margin of Error = Zα/2 * (σ/√n)

where Zα/2 is the critical value for the desired confidence level (in this case, 90% confidence), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we have:

Margin of Error = 1.645 * (11.9/√38)

≈ 3.433

Therefore, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is approximately 3.433 ounces.

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Answer:

2<y<6

Step-by-step explanation:

12 < 8y-y^2

y^2 -8y +12 <0

(y-6)(y-2)<0

y < 6

y < 2

 2.       6

-       -        +

-       +.       +

+.      -         +

2<y<6

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)