Consider the function h(z) = 1 4iz + 2 defined on the extended complex plane. (a) Write h as a composition of the linear function g(z) and reciprocal function f(z) (b) Determine the image of the line y = 2 under w=h(z). (c) Determine the image of the circle |z - i| = 1/2 under w = h(z).

Answer: -20/3

Step-by-step explanation:

Answer: It equals -8/3

a) The price that is 3 standard deviations above the mean is $18500

b) The price that is 2 standard deviations below the mean is  16000

c) The percentage of buyers who paid between $16,500 and $17,500 is 68%.

d) The percentage of buyers who paid between $17,000 and $18,000 is

47.5%

e) The percentage of buyers who paid less than $16,000 is 2.5%.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Mean= 17000

standard deviation = $500.

a) The price that is 3 standard deviations above the mean is $

= 17000 + 3 x 500

= 18500

b) The price that is 2 standard deviations below the mean is $

= 17000 - 2 x 500

= 16000

c) The percentage of buyers who paid between $16,500 and $17,500 is

As, This is the bell curve numbers of 1 deviation which 68%.

d) The percentage of buyers who paid between $17,000 and $18,000 is

So,  1/2 of the 2nd deviation, or  95% x 0.5  

= 47.5%

e) The percentage of buyers who paid less than $16,000 is 5% is outside of the 2nd deviation which is half of that or  2.5%.

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Hello! First, let's get the information contained in the exercise:

• The real state broker receives a commission of 3%

• He received ,$13,980,, equivalent to, 3%

So, how many dollars equals 100%? To find this value, we will use the Rule of Three, look:

Multiplying across, we will get:

So, the price of the home was $466,000.

Answer:

So 13 x 3=  39

Step-by-step explanation=

your just gonna multiply 13x3 to get your answer

Hope this helped :D

Answer:

between 0 cm and 21 cm

Step-by-step explanation:

BC could be anything between zero and 8+13=21 as per triangle inequality theorem:

0 < BC < AB+AC or

0 cm < BC < 21 cm

Answer:

94

Step-by-step explanation:

Because of PEMDAS, you would need to multiply 16 x 5 first to get 80.  The equation would then be revised to 16 + 8 + 80 - 10.  From there on out, you just do the math manually from left to right.  16 + 8 = 24, while 24 + 80 equals to 104, and then you subtract 10 to get your final answer which is 94.

-

Debido a PEMDAS, primero necesitaría multiplicar 16 x 5 para obtener 80. La ecuación luego se revisará a 16 + 8 + 80 - 10. De ahí en adelante, simplemente haga los cálculos manualmente de izquierda a derecha. 16 + 8 = 24, mientras que 24 + 80 es igual a 104, y luego resta 10 para obtener su respuesta final, que es 94.

Answer:

94

Step-by-step explanation:

haces 16x5 primero luego menos 10 y al fin sumar todo junto

answer:

choice letter b

Answer:

200

Step-by-step explanation:

Let's call the number x :
12.5% of x = 25

Changing 12.5% into decimal would be 0.125

Now we have the equation :

0.125x = 25

Divide both sides by 0.125 to make x the subject :

x = 25 ÷ 0.125

x = 200

To check we can substitute this value into the question :

12.5% of 200 = 25

Hope this helped and have a good day

The 10th term round to the nearest thousandth of the geometric progression is found as 0.001.

For the stated sequence:

5, 2,4/5,...

Check for AP:

a₂ - a₁ = 5 - 2 = 3

a₃ - a₂ = 4/5 - 2 = -6/10 = -3/10

As the common difference is not same, it is not an AP.

Check for GP:

a₁  = 5

a₂ = a₁ q²⁻¹

a₂ = 5q = 2

a₃ = a₁q³⁻¹

    =  a₁q²

a₃ = 5q² = 4/5

As,

a₂/ a₁ = 2/5

a₃/a₂ = 2/5, it is an GP

Thus,

a₁₀ = a₁qⁿ⁻¹

    = 5*(2/5)⁹

    = 0.001

Thus, the 10th term round to the nearest thousandth of the geometric progression is found as 0.001.

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To determine whether the ball clears the fence, we need to find its maximum height and horizontal distance traveled.

First, we can use the given initial velocity and angle to find the vertical and horizontal components of the ball's velocity:

Vertical velocity = 120 sin(30) = 60 ft/sec
Horizontal velocity = 120 cos(30) = 103.9 ft/sec

Next, we can use kinematic equations to find the time it takes for the ball to reach its maximum height:

Vertical displacement = (60t) - (16t^2) = 4
Simplifying this equation, we get:
-16t^2 + 60t - 4 = 0

Solving for t using the quadratic formula, we get:
t = 0.961 sec

We can then use this time to find the maximum height reached by the ball:
Vertical displacement = (60 x 0.961) - (16 x 0.961^2) = 56.5 ft

Now, we can find the horizontal distance traveled by the ball during this time:
Horizontal displacement = 103.9 x 0.961 = 99.8 ft

Adding this horizontal displacement to the distance from home plate to the fence (350 ft), we get:
Total horizontal distance = 350 + 99.8 = 449.8 ft

Therefore, the ball does clear the 30-ft fence, since it travels a total distance of 449.8 ft before landing.

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Complete question :

A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29

a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.

b. Does the value 3.29 represent the population parameter or the sample statistic?

Answer:

True ; population parameter

Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.

B.) population parameter

Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.

Same statistic represents estimates derived from a sample (subset of the entire population).

The value of   f(x)=2(5 ) x−1 is 29.

What are polynomials?

Calculation:-

For F(3)

⇒f(x) =2*(5)*x-1

⇒f(3) =2*(5)*3-1

⇒f(3) = 30-1

⇒f(3) =29

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The number that represents the situation is 59.

Let's represent the tens digit of the two-digit number as 'x' and the units digit as 'y'.

According to the problem, the sum of the digits is 14, so we can write the equation: x + y = 14.

When we reverse the digits, the new number is obtained by swapping the tens and units digits. So, the new number is represented as 10y + x.

The problem states that this new number is 36 more than the original number, so we can write the equation: 10y + x = (10x + y) + 36.

Simplifying the equation: 10y + x = 10x + y + 36.

Rearranging the terms: 9y - 9x = 36.

Dividing both sides of the equation by 9, we get: y - x = 4.

Now, we have a system of equations:

x + y = 14

y - x = 4

Solving this system of equations can be done by adding the two equations together:

(x + y) + (y - x) = 14 + 4

2y = 18

y = 9

Substituting the value of y back into the first equation:

x + 9 = 14

x = 5

Therefore, the number is 59.

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Answer:

B

Step-by-step explanation:

Great circles are the largest possible circles that can be drawn around a sphere and are the lines called in Riemann's spherical geometry.

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from \(ax+by+c=0\)

\(5y=15x-40\\\Rightarrow 15x-5y-40=0\)

\(y=3x-8\\\Rightarrow 3x-y-8=0\)

\(\dfrac{a_1}{a_2}=\dfrac{15}{3}=5\)

\(\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5\)

\(\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5\)

So, \(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}\).

Hence, these lines have infinitely many solutions.

Therefore, the straight horizontal line labeled f(x) represents where f(x) is equal to 4.

Based on the given information, the function f(x) is represented by the straight horizontal line that crosses the y-axis at (0, 4). The point (0, 4) on the y-axis indicates that when x is 0, the value of f(x) is 4. Since the line is horizontal, it maintains a constant value of 4 for all values of x.

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Answer:

$4.99

Step-by-step explanation:

Answer:

Step-by-step explanation:

9,328 and you would divide that by 98 and the answer would be 95.18367347 boxes

Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

The point-slope form is

where m is the slope and (x1,y1) is a point where the line passes through

In our case

m=5

(x1,y1)=(-9,2)

Then we substitute

ANSWER

The point-slope form is

y-2=5(x+9)

Answer:

x = 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

\(\frac{1}{6}\)(x+6)=11

\(\frac{1}{6}\)x + 1 = 11

\(\frac{1}{6}\)x +1 -1 = 11 -1

\(\frac{1}{6}\)x * 6 = 10 *6

x = 60

To double check

\(\frac{1}{6}\)(60+6)=11

10+1 = 11

11 = 11

The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

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Answer:

50000

Step-by-step explanation:78473294724829384739284732984739824

Answer:

0.33

Step-by-step explanation:

Answer: 0.33 = 33/10 0.4 = 4/10 So, 33/10 is greater than 4/10. That means 0.33 is greater than 0.4.

Answer: boiling point at altitude = 2100 ft:

Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:

y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit

Answer:

Answer: 21

Step-by-step explanation:

If cost is the same

\({ \rm{C_{r} =C _{b} }} \\ \\ { \rm{175 + 12(n - 10) = 125 + 14(n - 8)}} \\ \\ { \rm{50 + 12n - 120 = 14n - 112}} \\ \\ { \rm{n = 21}}\)

Answer:

A

Step-by-step explanation: took the test

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

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

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Solving