Complete the explanation of whether the graph represents a proportional or a nonproportional
relationship
5
Х
XA
O
5
이
5
The graph represents a (select)
relationship

The function z^{i sqrt{2}} can be written as a + bi, where a and b are real-valued functions, as follows:

z^{i sqrt{2}} = (cos(sqrt{2}) + i sin(sqrt{2})) z = (cos(sqrt{2}) + i sin(sqrt{2}))(1 + i)/sqrt{2} = (cos(sqrt{2})/sqrt{2} - sin(sqrt{2})/sqrt{2}) + i(sin(sqrt{2})/sqrt{2} + cos(sqrt{2})/sqrt{2}) = 1/sqrt{2} - i/sqrt{2} = (1 - i)/2

We can write z^{i sqrt{2}} as (cos(sqrt{2}) + i sin(sqrt{2})) z, since i sqrt{2} is the angle of z. Then, we can simplify the expression using the fact that cos(a)/sqrt{2} - sin(a)/sqrt{2} = 1/sqrt{2} and sin(a)/sqrt{2} + cos(a)/sqrt{2} = i/sqrt{2}. Finally, we can evaluate the expression at z = (1 + i) / sqrt{2} to get (1 - i) / 2.

To see this more clearly, let's break down the expression step by step. First, we have i sqrt{2} = 45 degrees. This means that cos(sqrt{2}) = cos(45 degrees) = 1/sqrt{2} and sin(sqrt{2}) = sin(45 degrees) = 1/sqrt{2}.

Next, we have (cos(sqrt{2}) + i sin(sqrt{2})) z = (1/sqrt{2} + i/sqrt{2})(1 + i)/sqrt{2} = (1/2 + i/2)(1 + i)/2 = (1/2)(1) + (1/2)(i) + (i/2)(1) + (i/2)(i) = 1/2 + i/2 - 1/2 - i/2 = 0 + i/2 = (1 - i)/2.

Finally, we evaluate this expression at z = (1 + i) / sqrt{2} to get (1 - i) / 2.

To learn more about expression click here : brainly.com/question/28170201

#SPJ11

Answer:

8.6

Step-by-step explanation:

A^2+B^2=C^2

5^2+7^2=C^2

25+49=C^2

74=C^2

√74=C

C=8.6

Answer: 31.3 square feet

Step-by-step explanation:

a.)Gross pay = $400

b.) Total deductions = $89.25

c .) Net pay = $310.75

For question a.) The gross pay of Omark is calculated as thus:

The number of days per week = 7 days

The of working hours per week = 50 hours.

The amount paid per hour = $10

Therefore gross payment for a week = 40×10 = $400

For question b.)

The total deductions = 9.25+15.25+48.50+9.50+2.75+4.00 = $89.25

For question c )

Omark net payment = gross payment - total deductions = 400- 89.25 = $310.75

Learn more about gross payment here:

https://brainly.com/question/30664901

#SPJ1

Answer:

All of the above

Step-by-step explanation:

Divide 4320 by 3, 9, and 10 and see if you have a real number. (There's also a rule for finding this, but I can't remember TwT)

4320/3=1440

4320/9=480

4320/10=432

-hope it helps

The formula to solve Euler's Formula for e, which relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron is e = v + f - 2.

Euler's Formula, v − e + f = 2, is a relationship between the number of edges e, the number of vertices v, and the number of faces f in a polyhedron. The formula can be rearranged to solve for e which is e = v + f - 2. This formula can be used to find the number of edges in a polyhedron when the number of vertices and faces are known. Therefore, this formula is used to calculate the number of edges in a polyhedron. The formula states that the number of vertices, minus the number of edges, plus the number of faces is always equal to 2.

Know more about Euler's Formula here:

https://brainly.com/question/12274716

#SPJ11

Answer:

( -4 , -4 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

The value of f(5) is 47.

What is face value?

Face value is the amount that any security issuer declared when it was first issued in dollars. The core idea behind the stock market is the nominal value.

If publicly traded companies use IPOs to sell stocks, this price stays constant. For instance, the place value of 5 in 5432 is 5000 while its face value is 5.

Solution Explained:

Given, f(1) = 1 and f(n) = -3f(n-1) + n

First we find,

f(2) = -3f(2-1) + 2 = -3f(1) + 2 = -1

f(3) = -3f(3-1) + 3 = -3f(2) + 3 = 6

f(4) = -3f(4-1) + 4 = -3f(3) + 4 = - 14

Now, we calculate f(5)

f(5) = -3f(5-1) + 5 = -3f(4) + 5 = 47

To learn more about face value, use the given link
https://brainly.com/question/20364533
#SPJ1

The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.

The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.

So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

To learn more about the probability, visit:

brainly.com/question/30034780

#SPJ4

When a car aerial absorbs radio waves, it induces a small electric current in the electrical circuit. This current flows through the circuit, reaching the radio receiver, where it is processed and amplified to produce an audible sound.

The car aerial, also known as an antenna, is designed to capture radio waves from the surrounding environment. These radio waves are electromagnetic waves that carry information in the form of varying frequencies. When the aerial absorbs these radio waves, it acts as a receiving element.

The electrical circuit connected to the car aerial plays a crucial role in the process. The radio waves induce a small alternating current in the aerial. This current is generated due to the interaction between the radio waves and the conductive components of the aerial. The induced current flows through the circuit, which typically includes a coaxial cable, connectors, and the necessary wiring.

The current travels from the aerial to the radio receiver, which is usually located in the car's dashboard. The receiver detects the current and processes it using electronic components such as transistors and integrated circuits. The received signal is amplified and filtered to extract the desired radio frequency. Finally, the amplified signal is sent to the car's speakers, allowing the listener to hear the audio content carried by the radio waves.


Learn more about radio waves here : brainly.com/question/13989450

# SPJ11

Answer:

Area ~= 52.4 m^2

OR (see image why)

Area ~= 52.3 m^2

Step-by-step explanation:

Use A = pi•r^2 to find the area of the whole circle. For a sector, times that by degrees/360.

Your problem has a 60° sector. 60/360 is 1/6.

Use either, 60/360 or 1/6 times 100pi.

If you use the pi button on the calculator the answer is .1 different than if you use 3.14 for pi in your calculation. The pi button answer is more accurate. See image.

Answer:

the answer is B

Step-by-step explanation:

because you just put 100 underneath

Answer:

B, 71/100

Step-by-step explanation:

To do this, just put each fraction into a calculator, and whichever fraction results in the decimal you're looking for will be your answer.

Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.

It states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard error \(s = \frac{\sigma}{\sqrt{n}}\).

A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

#SPJ1

Answer:

This is my answer:The second one is better. the entire drama club one was better because the sample is large enough .It also comes from a bigger and more varied group of students thus it is less likely to be biased.

Step-by-step explanation:

Edge test and I got it right :D

According to the line problems described, after computation, DE is found to be equal to 12. Please see attached image.

It is stated that AC ≅ DB

Hence, AC = DB

Recall that CB = 3DB; and

AD = AC + CD

Thus,

= DB + CD

= CB

= 3DB

= 15

Hence

DB = 5

Recall that DE = DB + BE

Hence

DE = 5 + 7

DE = 12

Learn more about line problems:
https://brainly.com/question/1597347
#SPJ1

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

Read more on   discrete random variable here

https://brainly.com/question/17217746

#SPJ4

Answer:

10 is the answer. Hope this helps!

Answer:

Its important to use standard units because you will use them in your daily life, like you have to use standard measurement to find out how much you weight.

Weight in Kilo grams requires you to have a standard form, which is pounds. So 1 pound is equal to 2.2 kg

Step-by-step explanation:

The volume of the larger cylinder is 56 m³.

When two cylinders are similar, it means that they have the same shape but different sizes. The scale factor of two similar cylinders is the ratio of the lengths of their corresponding sides. In this case, the scale factor is 5:2, which means that the height of the larger cylinder is 5/2 times the height of the smaller cylinder, and the radius of the larger cylinder is 5/2 times the radius of the smaller cylinder.

Since the scale factor of the two similar cylinders is 5:2, the ratio of their volumes is also 5:2.

Let V1 be the volume of the smaller cylinder and V2 be the volume of the larger cylinder. Then:

V1/V2 = 5/2

Multiplying both sides by V2, we get:

V1 = (5/2)V2

Substituting V1 = 28, we get:

28 = (5/2)V2

Multiplying both sides by 2/5, we get:

V2 = 56

Therefore, the volume of the larger cylinder is 56 m³.

To know more about cylinder click here:

brainly.com/question/16134180

#SPJ4

Answer:

small

Step-by-step explanation:

You can divide the number of mini candy bars over the price, and the lowest would be the smallest one, with 8.33.

Answer:

Step-by-step explanation:

Tips = 20% of 47.60

       = (20/100) * 47.60

       = 0.20 * 47.60

Total bill = 47.60 + (0.2)*(47.60)

Answer:

the answer is 47.60 + (0.2)*(47.60)

which measure of center can you most accurately estimate from this information: Median

The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.

Calculating the median

The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.

For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.

The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.

to know more about median click here:

https://brainly.com/question/16408033

#SPJ4

the complete question is:

The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.

Which measure of center can you most accurately estimate from this information?

1. mean

2. median

Answer : Point slope form = y - 7 = -9(x-5)

Slope intercept form = y = -9x +52

Given :-

To Find :-

We know that point slope form of the line is,

→ y - y' = m(x - x')

where (x',y') is the point and m is the slope . On substituting the respective values, we have,

→ y - 7 = -9(x -5)

Now we know that slope intercept form of the line is,

→ y = mx + c

where m is the slope of the line and c is y intercept. On simplifying the above equation, we have,

→ y -7 = -9x +45

→ y = -9x +45+7

→ y = -9x + 52

I hope this helps.

Answer:

2804

Step-by-step explanation:

2504 + 140 + 160 = 2804   (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)

Answer:

The answer is B)

\(y = - \frac{1}{2}x + 8\)

Answer:

B.  y = -\(\frac{1}{2}\)x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be \(m_{l2}\)

\(m_{l2} * 2 = -1\)

\(m_{l2}\) = \(-\frac{1}{2}\)

Taking another point xy on line l2;

\(\frac{y - 6}{x - 4} = -\frac{1}{2}\)

Cross multiplying this gives;

y = -\(\frac{1}{2}\)x + 8 which is the equation of the perpendicular line!

The first integral to evaluate the volume of the tetrahedron is \(\int\limits\int\limits \int\limits R dV\). The integral that represents the volume in the order dx dy dz is \(\int\limits\int\limits \int\limits R dz dy dx\).

(a) Evaluating the integral ∫∫∫ R dV:

The limits of integration for z will be determined by the intersection of the plane and the coordinate axes. When x = 0 and y = 0, we have 12(0) + 4(0) + 3z = 12, which gives z = 4. When z = 0, we have 12x + 4y + 3(0) = 12, which gives 12x + 4y = 12. Dividing by 4, we get 3x + y = 3, which represents the line in the xy-plane.

To find the limits of integration for y, we need to consider the bounds of this line. When x = 0, we have y = 3; when x = 1, we have y = 0.

Finally, the limits of integration for x will be 0 to 1, as we are in the first octant.

So, the first integral to evaluate the volume is \(\int\limits^1_0 \int\limits^0_3 \, \int\limits^{({12-3x-4y} )}_4 \, dz dy dx.\)

(b) Writing the integral in the order dx dy dz:

The limits of integration for x will be determined by the intersection of the plane and the coordinate axes.

When y = 0 and z = 0, we have 12x + 4(0) + 3(0) = 12, which gives x = 1.

When x = 0, we have 12(0) + 4y + 3z = 12, which gives 4y + 3z = 12.

Dividing by 4, we get \(y + (\frac{3}{4})z = 3\), which represents the line in the yz-plane.

To find the limits of integration for y, we need to consider the bounds of this line. When z = 0, we have y = 3; when z = 4, we have y = 0.

Finally, the limits of integration for z will be 0 to 4, as we are in the first octant. Therefore, the integral that represents the volume in the order dx dy dz is:

\(\int\limits^1_0\int\limits^{4(1-(3/4)z}_{3}\int\limits^{12-4y-(3/4)z}_0 \, dx dy dz\).

Learn more about integrals here:

https://brainly.com/question/22008756

#SPJ4

Answer:

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

\(\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}\)

\(\\ \sf\longmapsto f(x)=3x^3-1\)

\(\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191\)

\(\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23\)

Average change

\(\\ \sf\longmapsto \dfrac{192-23}{4-2}\)

\(\\ \sf\longmapsto \dfrac{168}{2}\)

\(\\ \sf\longmapsto 84\)

Answer:

1.x}^{2} - 2x - 24

x²- 2x+1²-1²-24

(x-1)²-25

(x-1)²-5²

(x-1+5)(x-1-5)

(x+4)(x-6)

Step-by-step explanation:

2.

{x}^{2} + 5x + 6

x²+3x+2x+6

x(x+3)+2(x+3)

(x+3)(x+2)