i don’t understand please someone help!

I Dont Understand Please Someone Help!

Answers

Answer 1

[tex]\sqrt[3]{63}[/tex]  , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .

What radical expressions?

Any expression with the radical () symbol is referred to as a radical expression. This symbol, which is frequently used to calculate the square root of a number, is frequently called the "square root" symbol by mistake. But it can also refer to a cube root, a fourth root, or something higher.

60 = 2 × 2 × 3 × 5. As a result, √60 = √2 + 2 + 3 + 5 = 2 + 15. Therefore, 2 15 is the square root of 60 in its lowest radical form.

3√600 =73.34

3√729 =9

A radical expression is any expression that uses the radical () symbol.

[tex]\sqrt[3]{63}[/tex]  , [tex]\sqrt[3]{60} , \sqrt[3]{-100}[/tex] three radical expressions are already simplyfird form .

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Related Questions

certain kind of sheet metal has, on average, 4 defects per 13 square feet. Assuming a Poisson distribution, find the probability that a 14 square foot metal sheet has at least 5 defects.

Answers

Using Poisson distribution to calculate the probability distribution of the event, the probability is 0.2084

What is Probability Distribution

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates an impossibility and 1 indicates a certainty.

A probability distribution is a mathematical function that describes the likelihood of a random variable taking on a particular value or set of values. It is used to describe the behavior of random variables, either discrete (e.g. coin flips) or continuous (e.g. temperatures), and is often used in the field of statistics to predict the behavior of a system or process.

Using Poisson distribution;

P(X ≥ 5) = 1 - P(X ≤ 4)

P= 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4))

P= 1 - (e^(-4.615) + (4.615*e^(-4.615))/1! + (4.615^2*e^(-4.615))/2! + (4.615^3*e^(-4.615))/3! + (4.615^4*e^(-4.615))/4!)

P = 0.2084

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1. Given: Cos θ = (3/5), Find: Csc θ

2. Given: Sin θ = (5/6), Find: Cot θ

3. Given: tan θ = (3/4), Find: Cot θ

4. Given: Sec θ = (7/2), Find: Cos θ

5. Given: Sin θ = (2/3), Find: Cosec θ

6. Given: Sin θ = (2/3), Find: Cos θ

7. Given: Cos θ = (3/4), Find: Tan θ

8. Given: Tan θ = (6/4), Find: Sin θ

9. Given: Tan θ = (7/5), Find: Cos θ

10. Given: Tan θ = (7/5), Find: Sec θ

Help please.

Answers

the trigonometric function of all the given question is obtained.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

Given: Cos θ = (3/5), Find: Csc θ = 5/4

Given: Sin θ = (5/6), Find: Cot θ = 11/5

Given: tan θ = (3/4), Find: Cot θ= 4/3

Given: Sec θ = (7/2), Find: Cos θ= 2/7

Given: Sin θ = (2/3), Find: Cosec θ=3/2

Given: Sin θ = (2/3), Find: Cos θ=5/3

Given: Tan θ = (6/4), Find: Sin θ=6/7.21

Given: Tan θ = (7/5), Find: Cos θ=5/8.6

Given: Tan θ = (7/5), Find: Sec θ= 8.6/5

Hence the above trigonometric function of all the given question is obtained.

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Angles Q and R form a right angle. Angle Q is twice as large as Angle R. What is the measure of Angle Q, in degrees?

Answers

The measure of the angle Q in degrees is 90° if angles Q and R form a right angle.

What is meant by right angle?

A right angle is defined as an angle that is exactly 90 degrees in geometry and trigonometry. If a ray is positioned so that its terminal is on a line and the angles are also equal, the angles are said to be at right angles. The phrase derives from the Latin angulus rectus, where rectus denotes the upright vertical line that is perpendicular to a horizontal base line.

Perpendicular lines—defined as lines that meet at right angles—and orthogonality—defined as the ability to intersect at right angles—are closely connected and crucial geometrical notions.

Q and R create a right angle given.

Therefore, the angle formed by either Q or R is 90 degrees.

Angle R is doubled by the given angle Q.

From there, Q must have an angle of 90 degrees.

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What is the prime factorization of 252?; What is the prime factorization of 50?; How do you find the prime factorization on a calculator?; What are the prime numbers for 52?

Answers

Using prime numbers and evaluating the factors of the given number, The prime factorization of 252 is 2 x 2 x 3 x 3 x 7. The prime factorization of 50 is 2 x 5 x 5. We can directly calculate the prime factorization using a calculator. Prime numbers for 52 is 2 and 13.

What do you mean by prime number?

A natural number higher than 1 that is not the product of two smaller natural numbers is referred to as a prime number (or a prime).

What are the factors of a number?

Numbers that split an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal halves.

Prime factors of 252= 2 x 2 x 3 x 3 x 7

Prime factors of 50 =  2 x 5 x 5

Prime factors of 52 = 2 x 2 x 13

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47. Suppose you're the administrative assistant to the president of a corporation
that employs 425 people. Your boss asks you to organize all employees into
groups of 25 people each, which will meet once a month to discuss safety in
the workplace. How many groups will there be?
48. As part of your job you spend time each day contacting former customers.
During one week, you contacted 15 people on Monday, 12 on Tuesday, 14 on
Wednesday, 11 on Thursday, and 13 on Friday. What is the average number of
customers contacted each day? Which averaging method did you use?
49. A fund-raising company is putting together a student kit of candy bars for a
school to use in its annual support campaign. To maximize sales, the company
will put more of the most popular candy bar sold in an average day in each kit.
The company's research shows that of the five most popular candies, local
vending machines sell 100 of Candy A, 14 of Candy B, 50 of Candy C, 6 of
Candy D, and 45 of Candy E on an average day. Which candy on average is


Please answer all three questions thanks

Answers

Answer:

47. 18

48. 13

49. Candy A

Step-by-step explanation:

47. To find the number of groups of 25 people, you can divide the total number of employees by the size of each group. In this case, you would divide 425 employees by 25 people per group to get 17 groups. However, since you can't have a fraction of a group, you would need to round up to the nearest whole number. In this case, you would have 18 groups of 25 people.

48. he average number of customers contacted each day can be calculated by adding the total number of customers contacted during the week and dividing by the number of days in the week. In this case, the total number of customers contacted during the week is 15 + 12 + 14 + 11 + 13 = 65. Dividing this by the number of days in the week, which is 5, gives an average of 13 customers per day.

The method used to calculate the average in this case is the mean, which is the sum of all the values divided by the number of values. The mean is the most commonly used measure of central tendency and is a good choice for finding the average when the data is evenly distributed and there are no extreme values (outliers).

49. the question is cut off but if its ....the most popular and should be included in the most number of kits?

Candy A is the most popular candy, as it is sold in the greatest quantity on an average day. It should be included in the most number of kits in order to maximize sales.

what is the value of the function at x=−2?

Answers

Answer:  -2

Step-by-step explanation:

Draw that point of intersection. Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2.

Please help...........

Answers

Answer:

98

Step-by-step explanation:

A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $20 and $2 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $30 plus $1 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How much would each restaurant donate?

Answers

Answer:

Let's call the number of diners at the Italian restaurant x, and the number of diners at the Mexican restaurant y. We can set up the following system of equations to represent the problem:

Italian restaurant: $20 + 2x = $30 + $1y

Mexican restaurant: $30 + $1y = $20 + 2x

Subtracting $20 from both sides of the first equation and $30 from both sides of the second equation, we get:

Italian restaurant: 2x = $10 + $1y

Mexican restaurant: $1y = $10 + 2x

Multiplying both sides of the first equation by 1/2, we get:

x = $5 + $0.5y

Substituting this expression for x in the second equation, we get:

$1y = $10 + 2($5 + $0.5y)

Expanding the expression on the right side, we get:

$1y = $10 + $10 + $1y

Subtracting $1y from both sides, we get:

0 = $10

This equation is true, so the system of equations is consistent.

Since the total donations from each restaurant would be the same, we can set the total donations equal to each other and solve for the number of diners at each restaurant. The total donation from the Italian restaurant is $20 + 2x, and the total donation from the Mexican restaurant is $30 + $1y. Setting these expressions equal to each other, we get:

$20 + 2x = $30 + $1y

Subtracting $20 from both sides and $1 from both sides, we get:

2x - 2 = $10 + $1y - $1

Combining like terms on both sides, we get:

2x - 2 = $10 + $1y - $1

2x - 2 = $9 + $1y

2x - $9 - $1y = 2 - $9

2x - $1y = -$7

Dividing both sides by 2, we get:

x - $0.5y = -$3.5

Substituting this expression for x in the first equation, we get:

$20 + 2(-$3.5) = $30 + $1y

Simplifying the expression on the left side, we get:

$20 - $7 = $30 + $1y

Subtracting $20 from both sides, we get:

-$7 = $10 + $1y

Subtracting $10 from both sides, we get:

-$17 = $1y

Dividing both sides by -1, we get:

$17 = -$1y

Multiplying both sides by -1, we get:

-$17 = $1y

Dividing both sides by $1, we get:

-$17/$1 = $1y/$1

Simplifying the expression on the left side, we get:

-17 = y

Thus, the number of diners at the Mexican restaurant is -17, and the number of diners at the Italian restaurant is x = $5 + $0.5y = $5 + $0.5(-17) = $5 - $8.5 = -$3.5.

Since the number

5•5/5(5-4)

help me please!!

Answers

Answer:

5

Step-by-step explanation:

First, work out parenthesis 5*5/5(1)

Then, Multiply/divide from left to right 25/5(1) -> 5(1) = 5

Parentheses exponent multiplication or division addition or subtraction
PEMDAS
5x5/5(5-4)
5x5/5(1)
5x5/5
5x1
5

The coordinate of point x on PQ such that the ratio of PX to XQ is 3:1 is __?

Answers

The coordinate of point X on the line segment PQ is 4.

What is a number line?

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Given that the coordinate of P is -5 and the coordinate of Q is 7. A point X lies on PQ.

Assume that the coordinate of X is a.

The distance between P and X is a - (-5) = a + 5.

The distance between Q and X is 7 - a.

Given that the ratio of PX and XQ is 3:1.

According to question,

(a + 5) : (7 - a) = 3:1

(a + 5) / (7 - a) = 3/1

Cross multiply :

5 + a = 21 - 3a

Add 3a on both sides:

a + 3a = 21 - 5

4a = 16

Divide both sides by 4:

a = 4.

The coordinate of X is 4.

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Benefits of Exercise According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-half of all middle-aged men are very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with diabetes is very active? (Round your answer to four decimal places.)

Answers

The probability that a man who developed diabetes is very active is 0.0625.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

You want P(a/d) where a means active, d means diabetic. Then Bayer's rule gives

P(a/d)=P(d/a)p(a)/P(d)

We know P(d)=202/5990.

P(a)=1/4 and P(d/a) we need to figure out.

But

P(d)=1/4P(d/a)+3/4p(d/s)=1/4P(d/a)+3/4∗5P(d/a)

P(D&A)/P(A) = 1/5*P(D&A')/P(A')

I am given P(A) = 1/4, so this can be reduced to

P(D&A)/(1/4) = 1/5*P(D&A')/(3/4) 15*P(D&A) = P(D&A')

The probability I am interested in is P(A|D) = P(D&A)/P(D) = P(D&A)/(P(D&A) + P(D&A')) = P(D&A)/(P(D&A) + 15*P(D&A)) = 1/16

Hence ,The probability that a man who developed diabetes is very active is 0.0625.

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Evaluate the integral ∫∫∫Dxyz dV, where D is the region bounded below by xy-plane and above by the hemisphere z=√9−x2−y2.

Answers

Refer to the photos taken.

Find the perimeter in centimeter

Answers

Answer: 210

Step-by-step explanation:

Simplify the expression 36x^5y^2/w

Answers

Answer:

36x⁵ y² ÷ w¹

= 36x⁵ y² w⁻¹

Thus, The simplified form is 36x⁵ y² w⁻¹

Allison had a birthday on Saturday she set up six tables and had 5 friends sitting at each table. How many people were at Allison’s birthday?

Answers

Answer:

there was 30 people at her birthday party

A parallelogram has one angle that measures 56°. What are the measures
of the other three angles in the parallelogram?

Answers

Answer:

angle A = 124 degrees, angle D = 124 degrees, angle C = 56 degrees

Step-by-step explanation:

1. apply that opposite angles in a parallelogram are congruent

measure of angle A = measure of angle C

measure of angle B = measure of angle D

2. given the measure of angle A = 56 degrees, angle C is also 56 degrees

angle A = angle C = 56 degrees

3. calculate the measure of angle A

measure of angle A + 56 degrees = 180 degrees

4. subtract 56 from both sides

measure of angle A = 124 degrees

5. measure of angle A = measure of angle D

angle A = angle D = 124 degrees

answer:

angle A = 124 degrees

angle D = 124 degrees

angle C = 56 degrees

Y-9=-4/3x+5 slope intercept form

Answers

Answer:

y=-4/3x+13

Step-by-step explanation:

formula:y=mx+b

you need to add 9 on both sides of the equation

so it's look like this:y-9=-4/3x+5

                                  +9          +9

so combine the like terms

y=-4/3x+13

let f: if a then b and g: if b then c. prove that is the composition of g and f if a then c is injective so is f

Answers

Injective function is a type of function which relates an element of a given set with a distinct element of another set. An injective function is also referred to as a one-one function.

Let's start by listing supposition and their respective reasons.

Suppose,

g О f is injective then f : A → B is also injective.

As we are dealing with injective functions, we can rightly proceed.

The functions f(x) = f(y) when x,y ∈ A

g(f(x)) = g(f(y))

Given the fact that g О f ,then x = y

Thus, we can say that since g О f , f : A is an injective function too (one to one function)

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solve for x. answer must be simplified.

Answers

Answer:

x-24 > 9

x >33

it should be greater than or equal sign

*Classified Data
Which of the following individuals can access classified data?

Answers

People withe the appropriate clearance and a signed non-disclosure agreement may access classifies information within a company or organization.

People must have a favorable determination of eligibility at the proper level, have a "need-to-know", and have signed an appropriate non-disclosure agreement before accessing classified information. Any individual who falls to meet these requirements is not authorized to access classified information.

Classified information may be made available to a person only when the possessor of the information establishes that the person has a valid "need-to-know" and the access is essential to the accomplishment of official government duties.

Data classification is the process of organizing data into categories that make it easy to retrieve,sort and store for future use. A well-planned data classification system makes essential data easy to find and retrieve.

Given question is incomplete.

Who can access classified data?

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What is the probability of the spinner landing on a red?; What is the probability of the spinner landing on a 6?; What is the probability of the spinner landing on an odd number or a number between 4 and 15?; What is the probability of the spinner landing on A or E?

Answers

Answer:One fourth

Step-by-step explanation:

In Experiment 1 the probability of each outcome is always the same. The probability of landing on each color of the spinner is always one fourth.

Answer:

Step-by-step explanation:

A researcher wants to know whether the acidity of rain (pH) near Houston, Texas, is significantly different from that near SC Chicago, Illinois. He randomly selects 12 rain dates in Texas and 14 rain dates in Illinois and obtains the following data: Texas 4.69 5.10 5.22 4.46 4.93 4.65 5.22 4.76 4.25 5.14 4.11 4.71 Illinois 4.40 4.22 4.64 4.54 4.35 4.69 4.69 4.75 4.40 4.63 4.45 4.49 4.36 4.52 Source: National Atmospheric Deposition Program (a) Is the sampling method dependent or independent? Why? (b) Because the sample sizes are small, what must be true regarding the populations from which the samples were drawn? (c) Draw side-by-side boxplots of the data. What does the visual evidence imply about the pH of rain in the two states? () Does the evidence suggest that there is a difference in the pH of rain in Chicago and Houston? Use the x = 0.05 level of significance.
Previous question

Answers

The sampling method is independent as the rain samples were taken from two different locations. As the sample sizes are small, they can be approximately considered normal distributions and t-test can be used to check the hypothesis.

What is a t-test?

Used in inferential statistics, t test can be used when we need to compare two different sets value to check if their is a significant difference between them.

T tests can be paired and dependent, like measuring the weight of a same patient before and after a diet or they can be unpaired an independent. Unpaired datasets might sometime have the same variance or unequal variance. Different formular are used to calculate the t-tests involving different datasets. To prove a null or alternate hypothesis, the t values must be checked with t- test table.

What t-test formula should we use for our problem?

As the following datasets measuring rain pH at different cities are indepent and have unequal variances, the following formula should be used for calculating the t-score and the degree of freedom:

T-value= [tex]\frac{Mean1-Mean2}{\sqrt(\frac{var1}{n1})+(\frac{var2}{n2})}[/tex]

Substituing the values of Mean1=4.77; Mean2=4.50, Var1=0.1366, Var2= 0.0242, n1= 12, n2= 14, we get the t value as 2.27

Now calculating degree of freedom, which comes around

Δ=14

At x=0.05, from the table, t value=2.145

Hence as the calculated t vale is more than critical t value, null hypothesis can be rejected and alternate hypothesis can be accepeted proving that their is a significant visible difference in pH in the rain of Chicago and Huston.

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types of angles-math maze
i need help with this maze

Answers

The types of angles include the supplementary, complementary, adjacent and vertical angles.

What is an angles?

An angle is defined as the common point that is being formed when two straight lines meet at a common endpoint.

There are various types of angles that include the following:

Supplementary angle: These are the angles that make up to 180° when added together.

Complementary angle: These are the angles that make up to 90° when added together.

Adjacent angles: These are the angles that share the common vertex and side.

Vertical angles: These are the angles opposite each other when two lines cross.

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The image of ΔABC after a reflection across Line E G is ΔA'B'C'. 2 triangles are shown. A line of reflection is between the 2 triangles. Line segment B B prime has a midpoint at point E. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Which statement is true about point F? F is the midpoint of AA' because Line E G bisects AA'. F is the midpoint of EG because AA' bisects EG. F is the midpoint of AA' because AA' bisects EG. F is the midpoint of EG because Line E G bisects AA'.

Answers

By using the concept of midpoint of a line, it can be concluded that-

F is the midpoint of AA' because EG bisects AA'

First option is correct

What is midpoint of a line?

Midpoint of a line is the point which divides the line into two equal parts.

ΔA'B'C' is the reflection of  ΔABC

E is the midpoint of BB'

F is the midpoint of AA'

G is the midpoint of CC'

EG is the bisector of BB', AA', CC'

F is the midpoint of AA' because EG bisects AA'

First option is correct

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Complete Question

The figure has been attached

Answer: D

Step-by-step explanation: trust

Which piece of information listed below does the central limit theorem allow us to disregard when working with the sampling distribution of the sample mean?A) all can be disregardedB) the mean of the populationC) the standard deviation of the populationD) the shape of the population

Answers

The shape of the population can be disregarded when working with sampling distribution of sample mean.

The correct option is Option D)

What is central limit theorem?

The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their correctly normalized sum tends toward a normal distribution.

As in the central limit theorem mean and standard deviation is given but there is not mention of shape of the distribution.

Hence shape of the distribution is not taken into considerations.

Therefore, The shape of the population can be disregarded when working with sampling distribution of sample mean.

The correct option is Option D)

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the following results are from independent samples taken from two populations. sample 1 sample 2 n1

Answers

The t-statistic for these two sample is 3.80 with 73 df

T-value is a ratio of the difference between the mean of two samples sets an the variation exist within the sample sets .
The numerator value is difference of mean of two samples.

According to the question,

We have two different sample

Sample 1

n1 = 35 (sample size)

x1 = 13.6 (sample mean)

s1 = 5.8 (standard deviation)

Sample 2

n2 = 40

x2 = 10.1

s2 = 8.5

To calculate the t-value of difference of sample means

[tex]t = \frac{\bar{x_1} - \bar{x_2}}{\sqrt{\frac{s_1^2}{n_1} - \frac{s_2^2}{n_2}}}[/tex]

Substituting all the values

=> [tex]t = \frac{13.6-10.1}{\sqrt{\frac{5.8^2}{35} - \frac{8.5^2}{40}}}[/tex]

Solving ,

=> t = 3.5 / 0.9192

=> t = 3.807

With degree of freedom = n1 + n2 - 2

=> df =73

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-11+2/3x(-12)+4÷1/8=​

Answers

Answer:

13

Step-by-step explanation:

-11+2/3x(-12)+4/1/8 Identify the sign

-11-\\\2/3x12+4/1/8 multiplying and inverting

-11-2/3x12+4x8 Simplify

-11 -2x4+4x8

-11-8+32

13

The following matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations or state that the system is inconsistent. (If the system is dependent assign the free variables the parameters s and t. If the system is inconsistent, enter INCONSISTENT.) 1 0-4 5 2 0 1 2 -9 3 10 -4 5 21 o 0 00 0 (xi, X2, X3, x4)- X1, X2, X3, X4) =

Answers

The solution of the corresponding system of linear equations is: (X1, X2, X3, X4) = (-9s, 10s, -4s, t).

The reduced row echelon form of the matrix is:

1 0 0 -9

0 1 0 10

0 0 1 -4

0 0 0 0

This tells us that the system of linear equations has the following solution:

X1 = -9X4

X2 = 10X4

X3 = -4X4

The system is dependent, so we assign the free variables the parameters s and t:

X1 = -9s

X2 = 10s

X3 = -4s

X4 = t

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Hi can someone please help me Im struggling with this!!!

Answers

Hence, the measure of the angles are

∠q = 65°

∠r = 65°

∠s = 50°

∠t = 65°

∠b = 64°

Calculating the measure of angles

From the question, we are to determine the measure of the angles.

Calculating the measure of angle q

∠q + 65° + (180° - 130°) = 180° (Sum of angles in a triangle)

∠q + 65° + 50° = 180°

∠q + 115° = 180°

∠q = 180° - 115°

∠q = 65°

Calculating the measure of angle r

∠r = ∠q (Corresponding angles)

Therefore,

∠r = 65°

Calculating the measure of angle s

∠s + ∠r + 65° = 180° (Sum of angles on a straight line)

∠s + 65° + 65° = 180°

∠s + 130° = 180°

∠s = 180° - 130°

∠s = 50°

Calculating the measure of angle t

∠t = ∠r (Vertically opposite angles)

Therefore,

∠t = 65°

Second diagram

Calculating the measure of angle b

∠b = ∠a (Corresponding angles)

Therefore,

∠b = 64°

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calculate the flux of the vector field , through the square of side 8 in the plane , centered on the -axis, with sides parallel to the and axes, and oriented in the positive -direction.(a) Calculate the flux of the vector field F(x, y, z) = 2i - 4k through a sphere of radius 3 centered at the origin, oriented outward. Flux =

Answers

the flow through a sphere of radius 3 that is centered at the origin and facing outward of the vector field F(x, Y, Z) = 2i - 4k.Flux = (4πr3)F = (4π3^3)(2*i - 4*k) = 216πi - 864πk

the flux of the vector field F(x, y, z) = 2i - 4k through the square of side 8 in the plane, centered on the -axis, with sides parallel to the and axes, both of which are pointed in the right direction.

Flux = Area*F = (8^2)*(2*i - 4*k) = 128i - 256k

To calculate the flux of the vector field F(x, y, z) = 2i - 4k through a square of side 8 in the plane, centered on the -axis, with sides parallel to the and axes, and oriented in the positive -direction, we will use the formula for flux:

Flux = Area*F

Where F is the vector field, and area is the area of the square, which is 8^2. As a result, the flux can be determined as follows:

Flux = (8^2)*(2*i - 4*k) = 128i - 256k

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