identify the real and imaginary parts of the following complex number: 39i

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:

If p - q = 10, then p = 10 + q.  Replace the other p with this:

q(2(10 + q) - 10) = 3600

q(20 + 2q - 10) = 3600

q(10 + 2q) = 360

The equilibrium point of a demand and supply function is the point where both functions are equal.

The equilibrium price is 40, and the corresponding demand is 30 supplies

Given

\(p- q = 10\) --- the supply function

\(q(2p - 10) = 2100\) --- the demand function

Make q the subject in \(p- q = 10\)

\(q = p - 10\)

Substitute \(q = p - 10\) in \(q(2p - 10) = 2100\)

\((p - 10)(2p - 10) = 2100\)

Factor out 2

\(2(p - 10)(p - 5) = 2100\)

Divide both sides by 2

\((p - 10)(p - 5) = 1050\)

Open brackets

\(p^2 -10p - 5p + 50 = 1050\)

\(p^2 -10p - 5p + 50 - 1050 =0\)

\(p^2 -15p - 1000 =0\)

Expand

\(p^2 -40p + 25p- 1000 =0\)

Factorize

\(p(p -40) + 25(p- 40) =0\)

Factor out p - 40

\((p+ 25) (p- 40) =0\)

Solve for p

\(p = -25\) or \(p = 40\)

The price cannot be negative.

So: \(p =40\)

Recall that:

\(q = p - 10\)

\(q = 40 - 10\)

\(q = 30\)

Hence, the equilibrium price is 40, and the corresponding number of supplies is 30

See attachment for the graphs of both functions

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Answer:

Power

Step-by-step explanation:

An hypothesis is usually formulated at the beginning of research, it is usually in line with the problem statement and gives the possible outcome.

An hypothesis is either accepted or rejected.

Power in hypothesis is the probability of rejecting null hypothesis when it is false. It helps in making a correct decision by rejecting the null hypothesis when it is not true.

power ranges between 0 to 1 when it is close to 1 it is said to be very strong and has the probability of rejecting a null hypothesis when it is not true.

Power helps to avoid a type II error in statistics.

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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Answer:

\(\frac{3v}{a^{2}} = h\)

Step-by-step explanation:

\(v = \frac{1}{3} a^{2} h\)

\(3v = a^{2} h\)

\(\frac{3v}{a^{2}} = h\)

Answer:

the question can be understand but the question is not telling what to find

it is comfugen to answe're the question

Answer:

length is 13 units

Step-by-step explanation:

case 1

l×b= 7+2(l+b)

lb = 7+2l+2b

given , b= 3

so,

l×3 = 7+ 2× l + 2× 3

3l -2l = 13

l = 13

Let length be x

Area

Now

1: The required table is described below.

2: The range is (0,36)

3: X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

We are given that,

y = -x² + 36

The equation of the rainbow is represented by the parabola,

Now, we are required to find a linear equation which cuts the graph of the parabola at two points.

Let us consider the equation joining the points (-6,0) and (0,36), given by .

y = 6x + 36

So, the corresponding table for the linear equation is given by,

x            y = 6x + 36

-6                      0

0                       36

1                        42

6                       72

Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is

y = -x² + 36

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set {y | y ≤ 36}

Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

Here, these intercepts represents the point where the parabola intersects the individual axis.

3. Is the linear function positive or negative.

As the linear function is  represented by the upward flight of the drone.

So, the linear function is a positive function.

y = 6x + 36

4. The solution of the system of equations is the intersection points of their graphs.

So, from the figure, we see that the equations intersect at the points (-6,0) and (0,36).

Thus, the solution represents the position when both the drone and rainbow intersect each other.

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Answer:

y + 1 = 4(x + 4)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

The standard point-slope equation is

Plug in what you know.

Simplify.

This is your equation.

Hope this helps!

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The linear equation in point-slope form is y + 1= 4(x + 4)

A linear equation is calculated using the following equation:

y - y1= m(x - x1)

From the question, we have:

Slope (m) = 4

(x1,y1) = (-4,-1)

So, the equation becomes

y + 1= 4(x + 4)

Hence, the linear equation in point-slope form is y + 1= 4(x + 4)

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Answer:

If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)

Answer:

For each of the following equations determine the output values Corresponding to the input value

(-2;-1;0;1;2;3)

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Answer:

I don't see any answer choices, but read my explanation

Step-by-step explanation:

Any line with a slope of 3 would be parallel to y=3x+2.

For example,

y=3x+4

y=3x-1

y=3x

All of these lines are parallel to the original equation

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 50000\\ P=\textit{original amount deposited}\dotfill &\$23000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}\)

\(50000 = 23000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{4}\right)^{4\cdot 7} \implies \cfrac{50000}{23000}=\left( 1+\cfrac{r}{400} \right)^{28} \\\\\\ \cfrac{50}{23}=\left( \cfrac{400+r}{400} \right)^{28}\implies \sqrt[28]{\cfrac{50}{23}}=\cfrac{400+r}{400} \\\\\\ 400\sqrt[28]{\cfrac{50}{23}}=400+r\implies 400\sqrt[28]{\cfrac{50}{23}}-400=r\implies \stackrel{ \% }{11.25}\approx r\)

Porque cada gato tiene 4 patas y una cola y si se multiplica por tres se da esa cifra.

Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

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Answer:

Incorrect

Step-by-step explanation:

Given

\(x < -1\)

\(x^5 - 2 > x\)

Required

Determine if the conjecture is true

To determine if it's true or not, we have to substitute the values of x in \(x^5 - 2 > x\)

In the first inequality, we have that \(x < -1\)

This means that the values of x are: -2. -3, -4......

Substitute -2 for x in \(x^5 - 2 > x\)

\((-2)^5 - 2 > -2\)

\(-32 - 2 > -2\)

\(-34 > -2\)

Her conjecture is incorrect because the inequality is not true for x = -2

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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The volume of a right cone is one-third of the product of the area of the base B and the

Since the area of the base and the height is already given, substitute the values in to the equation and then simplify.

We may also find the exact value by substituting the given values into the equation below.

where V is the volume, r is the radius, and h is the height.

To obtain the exact value of the height, we use the Pythagorean theorem.

where a and b are the legs of the formed right triangle while c is its hypothenuse.

From the figure, the slant height is the hypothenuse while the radius, 9 ft, serve as one of the legs. Thus, the other leg, which is the height of the cone can be solved as follows.

Therefore, the height of the cone is as stated above.

Substitute the obtained height and the radius into the second formula that was stated.

Simplify the right side of the equation. Evaluate the exponential expression.

Multiply the numerator and then divide it by 3.

Note that the value that we obtain at first, 1415,603, is slightly different from the one that we obtained, which is 1419.36, since there are values that we already rounded off before substituting the values in the equation.

Therefore, to be more exact, it is best to indicate that the volume of the given cone is approximately 1419.36 ft³.

Answer:

30 cm

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

c = 5

Work:

A = 0.5bh

A = 0.5(12)(5)

A = 6(5)

A = 30

Answer:

To find the roots of 4x² - 12x + 9 = 0 graphically, we need to plot the equation on a graph and find the x-intercepts, which are the roots.

Here are the steps to graph the equation:

Plot the x-axis and y-axis on the graph

Plot the points (x, 4x² - 12x + 9) for several values of x within the range of -1 to 4.

Connect the points to form a smooth curve.

Find the x-intercepts, where the curve intersects the x-axis. These points represent the roots of the equation.

After finding the x-intercepts, we can use the x-value of each intercept to substitute back into the original equation to find the corresponding y-value. This confirms that the x-intercepts are indeed the roots of the equation.

Note: The above steps can also be done using a graphing calculator or software.

Answer:

a) x^3 b) y^5

Step-by-step explanation:

you can combine the x's and y's to make a exponent equal to the number of x's or y's.

Answer:

Option C

Step-by-step explanation: 3/4 x 8 will get 24 as the numerator and 32 as the denominator

Answer: pls mark brainliest

20.24 students

96 percent of 506 is 485.76

506 - 485.76 = 20.24

Answer:

1. Average velocity

When t=4

i. [4, 4.1]

= y(4.1) - y(4) / 4.1 - 4

= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1

= 275 - 16*16.81 - 275 - 16(16) / 0.1

= 6.04 - 19 / 0.1

= -12.96 /0.1

= -129.6

ii. [4, 4.05]

= y(4.05) - y(4) / 4.05 - 4

= 275 - 16(4.05)^2 - 275 - 16(4)^2 / 0.05

= 275 - 16*16.40 - 275 - 16(16) / 0.05

= 12.6 - 19 / 0.05

= -6.4 / 0.05

= -128

iii. [4, 4.01]

= y(4.01) - y(4) / 4.01 - 4

= 275 - 16(4.01)^2 - 275 - 16(4)^2 / 0.01

= 275 - 16*16.08 - 275 - 16(16) / 0.01

= 17.72 - 19 / 0.01

= -1.28 / 0.01

= -128

b. Instantaneous velocity

y = 275 - 16t^2

dy/dx = -32t

Considering t = 4

Instantaneous velocity after 4 seconds = -32(4)

Instantaneous velocity after 4 seconds = -128

Answer:

We can use the formula for the area of a circle:

Area = πr^2

where r is the radius of the circle.

Substituting r = 2.8 inches and using 3.14 for π, we get:

Area = 3.14 x (2.8 inches)^2

Area ≈ 24.67 square inches

Rounding this to the nearest tenth gives:

Area ≈ 24.7 square inches

Therefore, the answer is: 6.2 in^2 is not a valid option, and the correct answer is: 24.7 in^2.