Which of the following is a solution of 2z3 + 16i = 0 ? O i. None of the given options O ii. V3 – i O iii. 1 13 . 2 2 O iv. 3V3 oła 2. O v. 13 + i

Answer:

34523

Step-by-step explanation:

345-23=po

If m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that,

m∠2 =(3x+2)°

m∠3 = 100

If the ∠2 and ∠3 are linear pairs the sum of the angles is 180°.

Only when a pair of neighboring angles add up to 180 degrees is the pair referred to be a linear angle. For instance, the sum of the neighboring linear angles of 40 degrees and 140 degrees will equal 180 degrees, making them known as linear angles.

∠2 + ∠3 = 180°

(3x+2) + 100 = 180°

(3x+2) = 180° - 100

(3x+2) = 80

3x = 80 -2

3x =78

x =26

Thus, if m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.

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The correct answer is option c. Which is the function is increasing when x is greater than zero.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.

Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.

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The general form of the anti-derivative of 1 is given by:

∫1dx = x + C

Where "x" represents the variable, "dx" represents the infinitesimal change in x, and "C" represents the constant of integration.

It's important to note that the constant of integration can take on any value, so the anti-derivative of 1 is not a unique function, but a family of functions.

The anti-derivative, also known as the indefinite integral, of a function is the reverse of finding the derivative. It gives us the original function given its derivative.

The anti-derivative of a constant function, such as 1, is a simple linear function. To find the anti-derivative of 1, we simply integrate it by adding a constant of integration, represented by "C".

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True. For all waiting lines, P0+Pw= 1

The terms P0 and Pw refer to the probabilities of having 0 customers in the system and having customers waiting in line, respectively. Since every customer is either in the system or in the waiting line, the sum of these probabilities must equal 1. This is because there are only two possible outcomes: either a customer is being served (P0) or they are waiting in line (Pw). Therefore, the probability of one of these events occurring is 1, and the probability of the other event occurring is 0. Hence, P0 + Pw = 1.

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Answer:

$13.05 my friend

Step-by-step explanation:

Answer: $13.05

Step-by-step explanation:

10 % of 14.50

= 0.10 x 14.50 = 1.45

Subtract 1.45 from 14.50

14.50- 1.45 = 13.05

Answer:

$6.18

Step-by-step explanation:

43.28÷7 units = 6.18 per 1 unit

Answer: (30,10)

. 30x10=300

300

Step-by-step explanation: 15 x 2 =30

 5x2=10

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

A type of graph that can be used to display the relationship between two variables is a scatter plot.

A scatter plot is a type of graph that visually represents the relationship between two variables. It consists of individual data points plotted on a Cartesian coordinate system, where each point represents the value of one variable on the x-axis and the value of the other variable on the y-axis. The position of each data point on the graph shows the simultaneous values of the two variables for a particular observation.

Scatter plots are commonly used to investigate the correlation or association between two variables. By visually examining the pattern of the data points, we can gain insights into the nature and strength of the relationship. If the points cluster around a line or exhibit a clear trend, it suggests a strong relationship. Conversely, if the points are scattered randomly, it indicates a weak or no relationship between the variables.

Scatter plots are particularly useful in identifying patterns, outliers, and trends in the data, making them valuable tools in various fields such as statistics, data analysis, and scientific research. They provide a visual representation that helps in understanding and interpreting the relationship between variables more intuitively than through raw data alone.

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Answer:

11x

Step-by-step explanation:

math

In equilateral triangles, 7.0 mm is the length of each edge of the diamond.

The equilateral triangle's definition?

An equilateral triangle is a triangle whose three sides are all the same length, commonly referred to as a "regular" triangle.

                                       A triangle with all three sides equal and interior angles of 60 degrees is said to be equilateral. Triangle with an equal number of sides is known as an isosceles triangle.

V = 0.4783 S³  = 161

   S³   =  161/0.47

       = ∛ 161/0.47

       ≈ 7.0 mm

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Answer:

I'm guessing you mean fraction decimal and percentage

The final answer is:

3/4

0.75

75%

Step-by-step explanation:

You have to add 400 + 250 + 100 and then you will get 750. Then you make 750 into a fraction, decimal, and percentage

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The probability that the student will pick a ball that is either red, orange, or green is 0.75

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student will pick a ball that is either red, orange, or green be P

Now , the total number of balls in the container = 1000 balls

And , probability that the student will pick a ball that is either red, orange, or green can be calculated as the sum of the probabilities of picking a red ball, an orange ball, or a green ball. That is,

P(Red or Orange or Green) = P(Red) + P(Orange) + P(Green)

The probability of picking a red ball is 400/1000 = 0.4

The probability of picking an orange ball is 250/1000 = 0.25

And the probability of picking a green ball is 100/1000 = 0.1.

Therefore , P (Red or Orange or Green) = 0.4 + 0.25 + 0.1 = 0.75

Hence , the probability is 0.75

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Answer:

3

Step-by-step explanation:

If figure A is half the size of figure B, then 1.5 x 2 = 3.

The value of cosA/cosB in the right triangle is 1.

The figure in the image is a right triangle, having one of its interior angles at 90 degrees.

From the diagram,

For θ = A:
Adjacent to angle A = 3

Hypotenuse = 4.24

For θ = B:
Adjacent to angle B = 3

Hypotenuse = 4.24

Using trigonometric ratio:

cosine = adjacent / hypotenuse

cosA = adjacent / hypotenuse

cosA = 3/4.24

cosB = adjacent / hypotenuse

cosB = 3/4.24

Now,

cosA/cosB = (3/4.24) / (3/4.24)

cosA/cosB = (3/4.24) × (4.24/3)

cosA/cosB = 1/1

cosA/cosB = 1

Therefore, cosA/cosB has a value of 1.

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To approximate the area between the x-axis and the function

\(f(x) = 0.1 x^2 + 1\)on the interval [2, 7] using a left Riemann sum with 10 equal subdivisions, we can write the summation expression as follows:

Σ[i=1 to 10] f(x_i)Δx,

where:

f(x_i) represents the value of the function at the left endpoint of each subdivision, which can be calculated by substituting x_i into the function \(f(x) = 0.1x^2 + 1\)

Δx represents the width of each subdivision, which can be calculated by dividing the length of the interval [2, 7] by the number of subdivisions (10 in this case). So,

Δx = (7 - 2) / 10.

Therefore, the summation expression for the left Riemann sum with 10 equal subdivisions is:

\(\sum_{i=1}^{10} (0.1(x_i)^2 + 1)\Delta x\)

where x_i represents the left endpoint of each subdivision, which can be calculated as follows:

x_i = a + (i - 1)Δx,

where a is the lower limit of the interval (2 in this case) and Δx is the width of each subdivision

Now, let's calculate the Riemann sum using these values:

\(sum_{i=1}^{10} (0.1x_i^2 + 1)\Delta x\)

where x_i = 2 + (i - 1)Δx and Δx = (7 - 2) / 10.

Substituting these values, we have:

\(\sum_{i=1}^{10} (0.1(2 + (i - 1)\Delta x)^2 + 1)\Delta x\)

Now, we can evaluate this summation expression to obtain the numerical approximation of the area between the x-axis and the function

\(f(x) = 0.1 x^2 + 1\) on the interval [2, 7] using a left Riemann sum with 10 equal subdivisions.

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Answer:

37.5

Step-by-step explanation:

18/48 = x/100

18 x 100 = 48 x x

1800 = 48x

1800/48 = x

x = 37.5

Based on the information given regarding the percentage, the correct option is 37.5%.

It should be noted that in order to calculate the percentage, the following should be done.

= 18/48 × 100

= 3/8 × 100

= 37.5%

Therefore, based on the information given, it can be seen that the answer is 37.5%.

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The solution to the equation is x = -72.

Given the equation:

Cubed root (x + 8) = -4

To find the value of x, we can start by cubing both sides of the equation.

This will eliminate the cubed root on the left side: (x + 8) = (-4)³

Now, we can calculate (-4)³:

(-4)³ = -64

So our equation becomes:

(x + 8) = -64

Next, subtract 8 from both sides to isolate x:

x = -64 - 8

Finally, compute the value of x: x = -72

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This gives us a dendrogram with three levels, where the first level has two clusters {{7,10},{20,28}} and {35}, the second level has two clusters {{7,10,20,28},35}, and the third level has only one cluster {{7,10,20,28,35}}.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To perform hierarchical clustering using single linkage, we start by treating each point as its own cluster, and then iteratively merge the two closest clusters until only one cluster remains. We use the single linkage method, which defines the distance between two clusters as the minimum distance between any two points in the clusters.

First, we calculate the pairwise distances between each point:

  7    10   20   28   35

7   -    3    13   21   28

10  3    -    10   18   25

20  13   10   -    8    15

28  21   18   8    -    7

35  28   25   15   7    -

Next, we find the two closest points/clusters and merge them:

  7,10  20   28   35

7,10  -    10   18   25

20    10   -    8    15

28    18   8    -    7

35    25   15   7    -

The closest points/clusters are 7 and 10, so we merge them to form a new cluster {7,10}.

  7,10  20,28  35

7,10  -    18     25

20,28 18   -      7

35    25   7      -

The closest points/clusters are now {20,28} and 35, so we merge them to form a new cluster {{20,28},35}.

 7,10  {20,28,35}

7,10  -    7

{20,28,35} 7    -

The closest points/clusters are now {7,10} and {{20,28},35}, so we merge them to form a new cluster {{{7,10},{20,28}},35}.

Hence, This gives us a dendrogram with three levels, where the first level has two clusters {{7,10},{20,28}} and {35}, the second level has two clusters {{7,10,20,28},35}, and the third level has only one cluster {{7,10,20,28,35}}.

The dendrogram can be visualized as in the attached image.

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The equation of the hyperbola that satisfies the given conditions is x^2 / 4 - y^2 / 16 = 1. This equation represents a hyperbola with its center at the origin (0, 0), foci at (0, ±8), and vertices at (0, ±2).

To find the equation of a hyperbola given its foci and vertices, we can start by determining the key properties of the hyperbola. The foci and vertices provide important information about the shape and orientation of the hyperbola.

Given:

Foci: (0, ±8)

Vertices: (0, ±2)

Center:

The center of the hyperbola is located at the midpoint between the foci. In this case, the y-coordinate of the center is the average of the y-coordinates of the foci, which is (8 + (-8))/2 = 0. The x-coordinate of the center is 0 since it lies on the y-axis. Therefore, the center of the hyperbola is (0, 0).

Transverse axis:

The transverse axis is the segment connecting the vertices. In this case, the vertices lie on the y-axis, so the transverse axis is vertical.

Distance between the center and the foci:

The distance between the center and each focus is given by the value c, which represents the distance between the center and either focus. In this case, c = 8.

Distance between the center and the vertices:

The distance between the center and each vertex is given by the value a, which represents half the length of the transverse axis. In this case, a = 2.

Equation form:

The equation of a hyperbola with the center at (h, k) is given by the formula:

((x - h)^2 / a^2) - ((y - k)^2 / b^2) = 1

Using the information we have gathered, we can now write the equation of the hyperbola:

((x - 0)^2 / 2^2) - ((y - 0)^2 / b^2) = 1

Simplifying the equation, we have:

x^2 / 4 - y^2 / b^2 = 1

To find the value of b, we can use the distance between the center and the vertices. In this case, the distance is 2a, which is 2 * 2 = 4. Since b represents the distance between the center and either vertex, we have b = 4.

Substituting the value of b into the equation, we get:

x^2 / 4 - y^2 / 16 = 1

Therefore, the equation of the hyperbola that satisfies the given conditions is:

x^2 / 4 - y^2 / 16 = 1

This equation represents a hyperbola with its center at the origin (0, 0), foci at (0, ±8), and vertices at (0, ±2).

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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Answer: hope this helps

Step-by-step explanation:

Answer:

-b-9<8.5

Step-by-step explanation:

Answer:

y=-2/3x - 2/3

Step-by-step explanation:

Answer: Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x

that is

if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees

since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees

therefore y=100

now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees

that is

x+y=180

we know that y = 100

therefore,

x+100=180

collect like terms and

x = 180-100

therefore,

x= 80

thank you!!

(a) The profit of the firm at the current employment levels of 25 units of labor and 50 units of capital can be calculated by subtracting the total cost from total revenue.

The total revenue is given by the output multiplied by the market price, which is $2. The total cost is the sum of the wage cost (W) and the rental cost of capital (R), multiplied by their respective quantities.

Profit = Total Revenue - Total Cost

Profit = (Output * Price) - (Wage * Labor + Rental * Capital)

Given that the output is determined by the production function Y = 100K^(1/2) + 40L^(1/2), the profit can be calculated as follows:

Profit = (100K^(1/2) + 40L^(1/2)) * $2 - ($8 * 25 + $10 * 50)

(b) The profit-maximizing quantity of capital for this firm can be determined by setting the marginal revenue product of capital (MRPK) equal to the rental cost of capital (R). MRPK represents the additional revenue generated by employing an additional unit of capital.

MRPK = R

The marginal revenue product of capital can be calculated as the partial derivative of the production function with respect to capital (K), multiplied by the market price (P):

MRPK = (∂Y/∂K) * P

Using the production function Y = 100K^(1/2) + 40L^(1/2), we can calculate the marginal revenue product of capital as follows:

MRPK = (∂Y/∂K) * P = (50K^(-1/2)) * $2

Setting this equal to the rental cost of capital (R) of $10, we have:

(50K^(-1/2)) * $2 = $10

Simplifying the equation, we find:

K^(-1/2) = 1/5

Squaring both sides of the equation, we get:

K = 25

Therefore, the profit-maximizing quantity of capital for this firm is 25 units.

(c) To raise profits, the firm should decrease its capital employment from 50 to 25 units. This is because the profit-maximizing quantity of capital is determined to be 25 units, as calculated in part (b). By employing fewer units of capital, the firm can reduce its rental cost while still maintaining the optimal level of capital for production. As a result, the firm can lower its total cost and increase its profit. Employing more capital beyond the profit-maximizing level would lead to diminishing returns, where the additional costs outweigh the additional revenue generated. Therefore, reducing capital employment to the optimal level of 25 units would be the most favorable decision for the firm to maximize its profits.

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Answer:

(5,3)

Step-by-step explanation:

took the test!!

Answer:

4/1

Step-by-step explanation:

#1 (2, 4)  #2(0, -4)

(4-(-4)) divided by (2- 0)

(8) divided by (2)

= 4 so the slope would be  4/1

btw the equation would be y=4x-4

Answer:

{-1, 0, 1, 3}

Step-by-step explanation:

A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.