Find the value of z.
X
Z
Z =
Give
your answer in simplest form
PLEASE HELP

Answer: 336+6i

The key to solving this problem is to choose which parts you should solve first.

2i(3-4i)+8(4-5i)(4+5i)​

let's divide this expression to three parts:

2i(3-4i), 8 and (4-5i)(4+5i)​

first let's solve 2i(3-4i):

2i(3-4i) =

2i × 3 + 2i × -4i =

6i - 8i² =

6i + 8

(4-5i)(4+5i)​:

(4-5i)(4+5i)​ =

16 + 20i - 20i -25² =

16 + 25 =

41

8(4-5i)(4+5i)​:

8(4-5i)(4+5i)​ = 8 × 41 = 328

Now let's put back these parts:

2i(3-4i)+8(4-5i)(4+5i)​ =

6i + 8 + 328 =

6i +336 OR 336 +6i

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

Learn more about compound inequality

brainly.com/question/17957246

#SPJ11

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Uma pay in order to replace her stuff as $1000.

According to the scenario, Uma's possessions worth $5,600 were stolen or destroyed due to the burglary. Since this amount is less than the coverage limit, Uma will be eligible for reimbursement from her insurance policy. However, she will still need to pay the deductible.

To calculate how much Uma will pay to replace her stolen items, we need to subtract the deductible from the total loss. In this case, Uma's total loss is $5,600, and her deductible is $1,000. Therefore, the amount she needs to pay out of pocket is $1,000.

To summarize, Uma's insurance policy will cover the remaining amount after she pays the deductible. In this scenario,

Uma will receive reimbursement for

=> ($5,600 - $1,000) = $4,600

from her insurance company.

She can use this amount to replace her stolen or destroyed possessions.

To know more about insurance here

https://brainly.com/question/989103

#SPJ4

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

The difference between the two throws is 6/7 yards

Step-by-step explanation:

Beatrice throw=1 7/14 yards

Tilly throw=9/14 yards

Difference between the two throws=Beatrice throw - Tilly throw

=1 7/14 - 9/14

=21/14 - 9/14

= 21-9/14

=12/14

=6/7 yards

The difference between the two throws is 6/7 yards

Answer: It is an irrational number

========================================================

Reason:

Any rational number is a fraction of two integers. In this case, the two integers are 1 and 999.

Other examples of rational numbers include the following:

Pick any two of your favorite integers on the number line, then divide them to form a fraction. That will form a rational number. The two numbers you pick could be positive or negative.

Note: you can never have 0 in the denominator. Dividing by zero is not allowed. Try out something like 2/0 in your calculator and it will say "undefined", "not a number", "NaN", or "error".

The relationships among the lines are as follows: Line (a) and line (b) have the same slope but different y-intercepts, while line (c) has a different slope and y-intercept compared to lines (a) and (b).

Line (a) has the equation y = -1/5x, which represents a line with a slope of -1/5 and a y-intercept of 0. This means that for every unit increase in x, y decreases by 1/5.

Line (b) has the equation y = -1/5x + 6, which also has a slope of -1/5 but a y-intercept of 6. This means that the line is parallel to line (a) and has the same slope, but it is shifted upward by 6 units.

Line (c) has the equation y = 5x - 5, which represents a line with a slope of 5 and a y-intercept of -5. This line has a completely different slope and intercept compared to lines (a) and (b).

In summary, lines (a) and (b) have the same slope but different y-intercepts, while line (c) has a different slope and y-intercept compared to lines (a) and (b).

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ11

The three statements are correct about any business organization is

a) The ultimate goal of a business is to make profits.

b) Customer loyalty has little impact on a business’s revenue.

c) Customer service adds to a business’s profitability in the long run.

What is Revenue?

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

Concept:

The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.

The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.

Over time, providing good customer service increases a company's profits.

To learn more about Profit visit:

brainly.com/question/28856941

#SPJ4

Answer:

5

Step-by-step explanation:

count the brackets on the line d and e

Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

Delilah drove from her house to the football game at a rate of 40 mph. she returned using the same route, but she drove at a rate of 30 mph. if the round trip took 90 minutes,the distance between Delilah's house and the football game is approximately 25.71 miles.

To find the distance between Delilah's house and the football game, we can use the formula: distance = rate × time.

Let's assume the distance between her house and the football game is "d" miles.

On her way to the game, Delilah drove at a rate of 40 mph. So, the time it took for her to reach the game can be calculated using the equation: time = distance / rate.

Since the distance is "d" miles and the rate is 40 mph, the time is d / 40 hours.

On her return journey, Delilah drove at a rate of 30 mph. The time it took for her to return can be calculated using the equation: time = distance / rate.

Since the distance is still "d" miles and the rate is 30 mph, the time is d / 30 hours.

The total round trip time is given as 90 minutes, which is equal to 1.5 hours.

We can set up the equation: d / 40 + d / 30 = 1.5.

To solve for "d," we can multiply both sides of the equation by the least common multiple of 40 and 30, which is 120. This gives us: 3d + 4d = 180.

Simplifying, we get: 7d = 180.

Dividing both sides by 7, we find that d = 25.71.

Therefore, the approximate distance from Delilah's home to the football game is 25.71 miles.

To know more about "Distance":

https://brainly.com/question/26550516

#SPJ11

Rounding to the nearest hundredth, the z-score of a $10,000 scholarship is approximately -0.66.

To calculate the z-score, we use the formula:

z = (x - μ) / σ

Where:
x = Value we want to calculate the z-score for (in this case, $10,000)
μ = Mean (average scholarship) = $14,500
σ = Standard deviation = $6,800

Plugging in the values:

z = (10,000 - 14,500) / 6,800
z = -4,500 / 6,800
z ≈ -0.6628

Rounding to the nearest hundredth, the z-score of a $10,000 scholarship is approximately -0.66.

To know more about value click-
http://brainly.com/question/843074
#SPJ11

Answer:

-12e-x + 8 = 7

-12e-x = 7-8

-12e-x = -1

12e-x = 1

e-x = 1/12

ln(e-x) = ln(1/12)

x = -ln(1/12)

x = -2.485

Answer:

Angle CBA = 50 degrees

Step-by-step explanation:

Known Information:

Calculations:

The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

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

We have:

DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.

The equation can be framed:

3x + 14 = 5x - 2

x = 8

Angle CBA = 180 - (Angle CAB - Angle ACB)

Angle CBA = 180 - [5(8)-2+10(8)+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 50

Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer:

Niether

Step-by-step explanation:

its not a solution

a) The probability that the score of a person more than 125 is 0.0478

b)  The probability that the score of a person between 90 and 110 is  0.4972

Let us assume that  X be a random variable that represents a random person's IQ

here the mean (μ) = 100 and standard deviation (σ) = 15

a) To find: the Probability that the score of a person more than 125

P(X > 125)

= 1 - P(X ≤ 125)

= 0.0478

b)  the probability that the score of a person between 90 and 110

P(90 ≤ X ≤ 110)

= P(X ≤ 110) - P(X ≤ 90)

= P(\(\frac{X-100}{15}\) ≤ \(\frac{110-100}{15}\)) - P(\(\frac{X-100}{15}\) ≤ \(\frac{90-100}{15}\))

= 0.4972

Learn more about the probability here:

brainly.com/question/15124899

#SPJ4

The complete question is:

A randomly chosen IQ test taker obtains a score that is approximately a normal random variable with mean 100 and standard deviation 15. What is the probability that the score of such a person is (a) more than 125; (b) between 90 and 110?

22

Have a great day

pls mark brainliest

Step-by-step explanation:

first solve the exponent

3³ = 27

(7+27-9-3)

(34 - 9 - 3)

22

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF) of 12 and 40 is 4.

Answer:

  (c)  20%

Step-by-step explanation:

You want the percent error in an estimate of 240, when the actual count was 200.

The percent error can be found by ...

  error = (estimate/actual -1) × 100%

  error = (240/200 -1) × 100%

  error = (1.2 -1) × 100% = 20%

The error in the estimate was 20%.

<95141404393>

Answer:

\(9n - 12 \rightarrow \frac{1}{3} (9n - 12) \\ = \frac{3}{3} (3n - 4) \\ l = 3n - 4\)

The perimeter of an equilateral triangle is 9n - 12. Write an expression to represent the length of each side.

\( = \frac{9n-12}{3} \\ = \frac{3(3n - 4)}{3} \\ = 3n - 4\)

The length of each side of the triangle is 3n-4.

Hope it helps!!

this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

One possible example is:

A = [[1, 2], [2, 4]]

b = [3, 6]

The solution set of Ax = b is the set of all vectors of the form x = [x1, x2] such that:

x1 + 2x2 = 3

2x1 + 4x2 = 6

Solving this system of equations, we get:

x1 = 3 - 2x2

x2 = x2

So the solution set is the set of all vectors of the form x = [3 - 2x2, x2]. This is a line in R² with slope -2 and y-intercept (3, 0)

Note that this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

To learn more about vector:

https://brainly.com/question/29740341

#SPJ4

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics

Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.

Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.

In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.

Learn more about inferential statistics here https://brainly.com/question/30574113

#SPJ11

Answer:

A=-4

Step-by-step explanation:

Add 3 to both sides of the equation:

7a-3 = -31

7a -3 +3 = -31 +3

Simplify:

7a = -28

Divide both sides of the equation by the same term:

7a = -28

7a/7 = -28/7

Simplify again:

A= -4

Answer:

A = -4

Answer:

13

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

9514 1404 393

Answer:

  D.  210

Step-by-step explanation:

If b is the number of boys in the choir, the ratio of boys to girls is ...

  b/150 = 7/5

  b = 150(7/5) = 30(7) = 210

There are 210 boys in the choir.

a. The appropriate model for this problem is the Poisson distribution because it's model  the number of rare events occurring in a fixed interval of time or space.

b.  Using the model  the probability that there will be no episodes in this period is 0.82%.

c. Using the model,  the probability that there are more than three episodes in this period is  70.57%.

(a) The appropriate model for this problem is the Poisson distribution, which models the number of rare events occurring in a fixed interval of time or space. The conditions for a Poisson distribution are:

In this case, we are interested in the number of volcanic episodes occurring in a 2-year period, which is a fixed interval of time. The events are rare and independent of each other, and the average rate of events is given as 2.4 per year. Therefore, the Poisson distribution is appropriate for modeling X.

The parameter value for the Poisson distribution is λ, the average rate of events per unit of time or space. In this case, λ = 2.4 x 2 = 4.8 for the 2-year period.

(b) The probability that there will be no episodes in this period is given by the Poisson probability mass function:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.8) * 4.8^0 / 0! = 0.0082 (rounded to four decimal places)

Therefore, the probability that there will be no episodes in the 2008-2009 period is approximately 0.0082, or 0.82%.

(c) The probability that there are more than three episodes in this period is given by the complement of the probability that there are three or fewer episodes:

P(X > 3) = 1 - P(X ≤ 3)

We can use the Poisson cumulative distribution function to calculate P(X ≤ 3):

P(X ≤ 3) = Σ(e^(-λ) * λ^k / k!) for k = 0 to 3

P(X ≤ 3) = e^(-4.8) * (4.8^0 / 0! + 4.8^1 / 1! + 4.8^2 / 2! + 4.8^3 / 3!)

P(X ≤ 3) = 0.2943 (rounded to four decimal places)

Therefore, P(X > 3) = 1 - P(X ≤ 3) = 1 - 0.2943 = 0.7057 (rounded to four decimal places)

Therefore, the probability that there are more than three episodes in the 2008-2009 period is approximately 0.7057, or 70.57%.

To know more about Poisson distribution, refer:

brainly.com/question/28044733

#SPJ11

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

Learn more about Distance here :

https://brainly.in/question/47561315

#SPJ11