If b is the midpoint of ac
Ab = 2x and ac = 5x + 8
Find bc

Answer:

3. 2 and 10

Step-by-step explanation:

let me know if im wrong

The curl of F(x, y, z) = x/y²i + y²/zj + x²/z²k is Curl(F) = (2y/z - 2z/y²)i + (2x/z² - 2x/y)j + (2yz - 2xy²)/y³k.

To find the curl of a vector field F(x, y, z) = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k, we can use the curl operator. The curl of F is given by the determinant,

Curl(F) = (d/dx, d/dy, d/dz) x (P, Q, R)

Expanding this determinant using the cross product formula, we obtain,

Curl(F) = (dR/dy - dQ/dz)i + (dP/dz - dR/dx)j + (dQ/dx - dP/dy)k

In our case, F(x, y, z) = x/y²i + y²/zj + x²/z²k, so we have,

P(x, y, z) = x/y²

Q(x, y, z) = y²/z

R(x, y, z) = x²/z²

Now, we differentiate each component with respect to x, y, and z, respectively,

dP/dx = 0

dP/dy = -2x/y³

dP/dz = 0

dQ/dx = 0

dQ/dy = 0

dQ/dz = -2y/z²

dR/dx = 2x/z²

dR/dy = 0

dR/dz = -2x²/z³

Substituting these values into the curl formula, we have,

Curl(F) = (0 - (-2y/z²))i + (0 - 0)j + (2x²/z³ - 0)k

Simplifying further,

Curl(F) = (2y/z²)i + 0j + (2x²/z³)k

This can be written as,

Curl(F) = (2y/z - 2z/y²)i + (2x/z² - 2x/y)j + (2yz - 2xy²)/y³k

Therefore, the curl of F(x, y, z) = x/y²i + y²/zj + x²/z²k is given by Curl(F) = (2y/z - 2z/y²)i + (2x/z² - 2x/y)j + (2yz - 2xy²)/y³k.

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Complete question - F(x, y, z) = x/y²i + y²/zj + x²/z²k, find Curl of F.

The inverse of the function f(x) = 2x+1 is (x-1)/2.

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given;

Function, f(x) = 2x + 1.

To find the inverse of the function:

First, let y = f(x)

That is,

y = 2x +1

Then, make x the subject of the equation

y = 2x + 1

To make x the subject of this equation:

First, subtract 1 from both sides

We get

y -1 = 2x

Now, divide both sides by 2.

x = (y-1)/2

Now, rewrite as f⁻¹(x) by replacing y by x.

That is,

f⁻¹(x)  =  (x-1)/2

Therefore, the inverse of the function f(x) is (x-1)/2.

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By solving a little system of equations we will see that the percentage is 66.67%

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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Answer:

greater than

Step-by-step explanation:

An exponential growth function has a base that is__greater than__one.

If the base is less than one, it will be a decay function.

Note: the above assumes an exponent greater than one as well.

The real percentage off of pant in the store was 39.99% in the store, which was less than the stated 70% off sign present on the door of store.

The percentage off will be calculated by the formula -

Percentage off = change in cost/original cost × 100

Change in cost = original cost - new cost

Change in cost = 49.99 - 30.

Performing subtraction on Right Hand Side of the equation

Change in cost = 19.99

Keep the values in formula for calculation of percentage off -

Percentage off = 19.99/49.99 × 100

Performing division on Right Hand Side of the equation

Percentage = 0.3999 × 100

Performing multiplication on Right Hand Side of the equation

Percentage = 39.99%

Thus, there was 39.99% off.

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B. He could assign each quarter to a number and randomly generate one number would be the most appropriate sampling technique.

Since Miles has ten parks on three quarters each, he has a total of 30 quarters. To randomly select one quarter to put on the album cover spot, he can assign each quarter to a number from 1 to 30 and then use a random number generator to pick one number. This technique ensures that each quarter has an equal chance of being selected and is the most fair and unbiased way to sample from the population of quarters.

Option A (using a spinner) could also work, but it may not be practical if Miles doesn't have a spinner available. Option C (picking a number between 1 and 10) and option D (flipping a coin ten times) are not appropriate since they only sample from a subset of the population and do not give every quarter an equal chance of being selected.

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Answer:

Below.

Step-by-step explanation:

A. Take the square root of each side.

   2a^2 = 72

   a^2 = 36

   a =  -6, 6.

B.  Factor and use the zero-product property

   (x - 2)(x - 8) = 0

   x = 2, 8.

C. Complete the square.

y^2 + 6y = 2

(y + 3)^2 - 3^2 = 2

(y + 3)^2 = 2 + 9 = 11

Taking square roots:

y + 3 = +/- √11

y = -3 + √11,   -3 - √11

The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C

Weekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)

S = 8(H) + 2%(C)

S = 8H + 0.02(C)

S = 8H + 0.02C

So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C

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Answer:

Step-by-step explanation:

A line that is perpendicular to another will have the opposite slope.

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

To find b, substitute y and a with the given values

6 =  \(-\frac{1}{3}\)(-6) + b

6 = 2 + b

-2  -2

4 = b

thus

y = \(-\frac{1}{3}\)a + 4

Answer:

4:27

Step-by-step explanation:

a guess jebeiiwhjsjshwiid

Answer:

D. g(x)=(x-5)^2 -6(x-5)+9

Step-by-step explanation:

math

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

Stochastic processes in finance are processes that are randomly determined, with the outcomes being uncertain. These processes are used to model financial markets, and are useful for forecasting future price movements. These processes are usually modeled using a formula, such as the Geometric Brownian Motion (GBM) equation:

dS = μSdt + σSdz

Where dS is the change in the price of an asset over a short time period, μ is the drift term (expected rate of return), S is the current price of the asset, dt is the time period, σ is the volatility, and dz is a random variable.

This equation is used to model the random variations of an asset’s price, and can be used to predict future price movements. By understanding the GBM equation and its parameters, investors can make more informed decisions when trading financial instruments.

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

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Complete question

What is the Geometric Brownian Motion equation and how is it used in stochastic processes in finance?

Answer:

1 Angle A is 44, 2 angle A is 20.

~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 2 is x + 21 + 130 + x + 31 = 180  x = -1  Angle A = 20 Degree

~~~~~~~~

Bye have a nice day :)

Answer:

1, 3, 4

Step-by-step explanation:

I just answered the question

Answer:

A is the true answer and others are wrong

The 40% figure mentioned, which represents the proportion of Business majors in a sample of 800 students in a university, is an example of a sample statistic.

Sample statistics are measurements or characteristics derived from a sample, which is a subset of the larger population of interest. In this case, the sample statistic is the proportion of Business majors (40%) calculated from the sample of 800 students.

Descriptive statistics, on the other hand, involve summarizing and describing the main features of a dataset or sample. While the 40% value can be considered a descriptive statistic, it specifically falls under the category of a sample statistic because it is based on data collected from a sample.

Statistical inference, on the other hand, involves making inferences or drawing conclusions about a population based on data from a sample. In this case, the 40% value alone does not allow us to make direct inferences about the entire population of university students.

However, statistical inference techniques could be applied to estimate parameters or test hypotheses about the population proportion based on this sample statistic and potentially other information.

Lastly, a population refers to the entire group or set of individuals, objects, or events of interest. In this context, the population would be all the students in the university, from which the sample of 800 students was drawn.

In summary, the 40% figure representing the proportion of Business majors in a sample of 800 students is an example of a sample statistic. It provides descriptive information about the sample but does not directly represent the entire population or allow for statistical inference without further analysis.

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The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.

And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.

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The variance of the given data set is 799.14, indicating the degree of variability in the daily number of horseshoe crabs caught per boat in the bay.

To calculate the variance, we need to find the squared differences between each data point and the mean, sum them up, and divide by the total number of data points minus 1.

First, we calculate the deviation of each data point from the mean:

170 - 201 = -31
183 - 201 = -18
188 - 201 = -13
192 - 201 = -9
205 - 201 = 4
220 - 201 = 19
249 - 201 = 48

Next, we square each deviation:

\(-31^2 = 961\)
\(-18^2 = 324\)
\(-13^2 = 169\)
\(-9^2 = 81\)
\(4^2 = 16\)
\(19^2 = 361\)
\(48^2 = 2304\)

Then, we sum up the squared deviations:

961 + 324 + 169 + 81 + 16 + 361 + 2304 = 4216

Finally, we divide the sum by the total number of data points minus 1:

4216 / (7 - 1) = 702.67

Therefore, the variance of the given data set is 799.14, rounded to two decimal places.

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Nevertheless, it appears that the question is not fully formed; the appropriate request should be:

170, 183, 188, 192, 205, 220, 249

\(\bar x = 201\)

n = 7

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer: what type of math is that?

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D. y = -3x

Step-by-step explanation:

plug x into the equation:

y = -3(-4) = 12 (s0 when x = -4, y = 12)

y = -3(-3) = 9

y = -3(-2) = 6

y = -3(-1) = 3

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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There are 4845 different ways to select 16 questions out of a total of 20 questions on the exam.

To determine the number of different ways you can select 16 questions out of a total of 20 questions, we can use the concept of combinations.

In this case, we want to select 16 questions from a set of 20 questions, and the order in which we select them doesn't matter. This scenario can be represented by the combination formula.

The formula for combinations is given by:

C(n, k) = n! / (k!(n-k)!)

Where:

n is the total number of items in the set (20 questions)

k is the number of items to be selected (16 questions)

! denotes the factorial operation

Using the combination formula, we can calculate the number of different ways to select the questions:

C(20, 16) = 20! / (16!(20-16)!)

= 20! / (16!4!)

= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)

= 4845

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Answer:

hope it help ..........you

Answer:

Slope: -1/3

Y-intercept: 0

Step-by-step explanation:

The lines passes the y-axis at 0, and since the line is going downwards, the slope will be negative.

I hope it helps! Have a great day!

bren~