what should be added to -13/25+21/5+-21/18 to get 5?​

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

The person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

Step-by-step explanation:

What is defined as the normal distribution?

A normal distribution is a data set arrangement in which the majority of values cluster inside the center of the range and the remainder taper off symmetrically toward any extreme.

A histogram inside a normal distribution curve is sometimes used to design the curve.

The formula for the normal distribution is;

z = (x - μ)/σ

where,

z = z- score, taken fro table

Mean μ = 110

Standard deviation σ = 15

Sample mean x.

If we want to be in the top 5%, we must outperform 95% of the remaining scores. So we must investigate.

In with us standard normal probability table, look up 0.95 and get the Z score that corresponds to that.

z = 1.7

Put the value in formula ad find x.

1. 7 = (x - 110)/15

x = 25.5 + 110

x = 135.5

x = 136 (whole number)

Thus, the person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer:

5

It is that because I know this

The required trip covers a distance of 300 miles. As of the given conditons.

Given that,
A train has traveled 20% of a trip.it has travels 60 miles.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
let the total distance of the trip be x,
According to the question,
20 % of the trip is 60. So,
20% of x = 60
20 / 100 × x = 60
x = 60 × 100 / 20
x = 300

Thus, the required trip covers a distance of 300 miles.

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The translation used to create the image A'B'C'D', from the pre image ABCD is T(7, 0), which corresponds with the option;

7 units to the right

The coordinates of the vertices of the polygon ABCD are;

A(-2, -1), B(0, -4), C(4, -4), D(2, -1)

The coordinates of the vertices of the polygon A'B'C'D' are;

A'(5, -1), B'(7, -4), C'(11, -4), D'(9, -1)

The coordinates of the vertices of the image indicates;

The difference between the coordinates are;

A'(5, -1) - A(-2, -1) = (5 - (-2), -1 - (-1)) = (7, 0)

B'(7, -4) - B(0, -4) = (7 - 0, -4 - (-4)) = (7, 0)

C'(11, -4) - C(4, -4) = (11 - 4, -4 - (-4)) = (7, 0)

D'(9, -1) - D(2, -1) = (9 - 2, -1 - (-1)) = (7, 0)

The translation that is used to create the image is therefore;

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Answer:

1) both

2) Yes. It is appropriate to conclude that the health of the student affects ability to taste.

Step-by-step explanation:

Random Sampling  is done when each element of the sample has equal probability of being chosen. In both the samples of healthy and runny nose students each student has equal probability of being tested.

Random Assignment is one in which there is a control group and experimental group. The control group contains all the participants and each participant has the equal probability of being placed in the experimental group. For example in this experiment each student has equal probability of being tested with the given chocolate bar.

2) Yes. It is appropriate to conclude that the health of the student affects ability to taste.

the probability of success in healthy student is 78/154= 0.5065 = 50.65%

the probability of success in runny nose student is 44/118= 0.3729 = 37.29%

From this we see the probability of success is more in healthy students as compared to runny nose students

50.65> 37.29

Therefore it is appropriate to conclude that the health of the student affects ability to taste.

Answer:

-4x+1-10

Step-by-step explanation:

-2(2x+5)=0

-4x-10=0

-4x+1-10=0

-4x-9=0

-4x=9

x=9/-4

x=-2,25

please inform if wrong

Answer:

12r-8-12

Step-by-step explanation:

You have to combine like terms.

Hope it helps!

The complex problem involves determining how many people would switch from driving to using newly added bus routes with free bus passes in a city.

To address this, a four-step problem-solving process is proposed. Steps include defining the problem, developing a data collection strategy, implementing the strategy through surveys and data analysis, and evaluating the results.

Assumptions and data needed include current transportation patterns, public transport usage, and residents' attitudes. Uncertainty arises from potential sampling variations and financial calculations.

The solution's feasibility lies in comprehensive data collection, and potential controversy may emerge over resource allocation and the impact on city life.

Public engagement is vital in addressing concerns and reaching consensus.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Consider the following complex problems, which do not have a single straightforward solution. Describe how you would apply the four-step problem-solving process described in the text (without actually carrying out the process). List the assumptions and information needed to carry out your solution. Assess the uncertainty in these assumptions and data. Determine whether you believe the problem can be solved and whether a particular solution might generate controversy.

Suppose that a city added new bus routes and handed out free bus passes. How many people would give up driving in favor of the bus? How much money, overall, would this cost or save the city?

Answer:

Area = 60.0 units²

Step-by-step explanation:

First, let's find the height of the triangle using Pythagorean Theorem:

Height = √(11² - 8²)

= √57

Height = 7.5 (nearest tenth)

✔️Find the area:

Area = ½*base*height

Base = 2*8 = 16

Height = 7.5

Plug in the values

Area = ½*16*7.5

Area = 60.0 units² (nearest tenth)

Answer:

2 books

Step-by-step explanation:

8 x 6 = 48

Answer:

An equation for the question above is y = 3x + 9.

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

five kids .each 6 sweaters and 9 trousers

Step-by-step explanation:

Answer:

smallest:100000, and largest:999999

The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Answer:

Both are correct because S is greater than P by 4 and P is smaller than S by 1/4.

Step-by-step explanation:

Hey there!

Remember, 3 less than a number means we subtract 3 from that number.

It's the same as "a number minus 3"

Now, let's check all 4 options and see which one's right.

The first one is

n+3

Well, that's definitely not the right option, because it says "a number plus 3"

Is it Option B? Yeah!

Because n-3 is the same thing as "a number minus 3"

Is it Option C? Nope!

Because 3-n is the opposite of "a number minus 3"

Is it Option D? no.

Because 3n means "3 times a number"

Hence, the right expression is

\(\boxed{\boxed{\bold{n-3}}}\)

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

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EXPLANATION

The right options are:

(1) All trapezoids are quadrilaterals because trapezoids are four-sided polygons, so they are all quadrilaterals.

(2) All rhombuses are parallelogram because they are quadrilaterals (plane figure, closed shape, four sides) with four equal-length sides and opposite sides parallel to each other.

(4) All squares are parallelogram because they fulfill criteria of being a rectangle because all angles are right angle and opposite sides are equal.

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

38.0

Step-by-step explanation:

38.0 to the nearest whole number

\(\bold\purple{Hopeithelps}\)

\(\bold{Study}\)\(\bold{Well}\)~

Answer:

B. the weight of a dog and the amount of food it eats per day.

This is because dogs only eat around 1/3 of their body weight a day, hence the dogs weight having a positive comparison value to the weight of the food that it eats.

Hope this helps!

Answer: B

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

x < -2

Step-by-step explanation:

Solve by distributing: -2x - (2 x 2) > 3 x (x + 2)

Simplify the arithmetic: -2x - 4 > 3 x (x + 2)

Solve by distributing: -2x - 4 > 3x + (3 x 2)

Simplify the arithmetic: -2x - 4 > 3x + 6