5.
Consider the complex number iv3.
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What is the real part?
What is the imaginary part?
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b

Answer:B

Step-by-step explanation:

This is the only possible answer trust me

Answer:

-2x-11y-13 so D

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

A.  Determine how many seconds it will take for the two balloons to have the

same volume.

B. 850-53y=720-39y

C. y

D. For the red balloon 850-53y where y is the yard, and the totally time is in seconds

E. For the green one 720 - 39y where y is the yard and the time is in seconds

F. 850 - 53y = 720 - 39y

The distance of the straight line is √17 miles and the angle formed is

75.96°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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Answer:

2, -2

Step-by-step explanation:

what i answered probs not right lol

Answer:

80.80

Step-by-step explanation:

3394/42 simplified would be 1697/21

as a mixed form it would be 80 and 17/21

As a decimal, 80.809...

Hope this helps :)

Answer:

Step-by-step explanation:

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

A (Note Reduction)

Step-by-step explanation:

A p e x of course

Answer: note reduction

Step-by-step explanation:

A PE C

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.

To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.

If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.

Therefore, based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

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Answer:

60 divided by 8

Step-by-step explanation:

60 divided by 8

Answer:

$320

Step-by-step explanation:

Given parameters:

  Cost of attending the 2-year technical college = $3200;

 His parents intend to give him half the cost;

      Half the cost  = \(\frac{1}{2}\) x $3200 = $1600

The remaining cost  = $3200 - $1600 = $1600

Sam has 5yrs to work every summer;

  He must save: \(\frac{1600}{5}\)  = $320 every summer for the next five years to afford his first year tuition

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

12.6

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

12.6

Step-by-step explanation:

0.12*105=12.6

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

The approximate population in 2016 is 91, 604 population

The exponential equation representing the statement is \(P=P_0e^t\)

Substituting into the formula will give:

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

\(P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70\)

Hence the approximate population in 2016 is 91, 604 population

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Step-by-step explanation:

let y = f(x)

y = 2x/7 + 4

2x/7 = y - 4

x/7 = (y - 4)/2

x = 7(y - 4)/2

therefore, f^-1(x) = 7(x - 4)/2 (Option A)

Topic: Functions

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The amount of force between two objects 10 mm away from each other is G\(m_1m_2\) / 100.

All physical things with mass are drawn to the gravitational force, which can be thought of as an attracting force. It is the known natural force that is by far the weakest.

Given:

Distance = 10 mm

As, the Gravitation force between two objects

F = G\(m_1m_2\) / r²

or, F = G\(m_1m_2\) / 10²

F = G\(m_1m_2\) / 100

Also, the force between two objects decreases as the far they are apart from each other.

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The Question attached is Incomplete/ inappropriate, the Complete Question is

What would be the amount of force between two objects 10 mm away from each other having the \(m_1\) and \(m_2\)?

Answer:

Here's your answer .

hope it helps you

Answer:

Q = 3uw

Step-by-step explanation:

The mean and variance of Z=2 are 1 and 0.5 respectively, and the probability that Z=2 is 0.25.

Let's first calculate the mean and variance of N as follows -

The mean of N is 6 * 0.5 = 3, since each nickel has a 0.5 probability of landing heads up.

The variance of N is 6 * 0.5 * 0.5 = 1.5.

Since N determines the number of dimes that are tossed, the mean and variance of Z will depend on N.

Let's assume N = 2, then Z is the number of tails observed when tossing 2 dimes.

Each dime has a 0.5 probability of landing tails up, so the mean of Z would be 2 * 0.5 = 1.

The variance of Z would be 2 * 0.5 * 0.5 = 0.5.

To find the probability that Z=2, we can use the binomial probability formula as follows -

P(Z=2) = \(\binom{2}{2} * (0.5)^2 * (1-0.5)^{(2-2)}\) = 0.25.

Hence, the probability that Z=2 is 0.25.

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The complete question is -

Six nickels are tossed, and the total number N of heads is observed. Then N dimes are tossed, and the total number of Z of tails among the dimes is observed. Determine the mean and variance of Z and the probability that Z=2.

Step-by-step explanation:

12.93 is the answer of this question.