Find the measure of angle f given the information below.


A= 122 degrees
E=48 degrees the image is below!!

Peer-reviewed (refereed or scholarly) journals: Before an article is published in a journal, it is examined by a number of other experts in the subject to guarantee that it is of a high caliber. (The paper is more likely to be valid from a scientific standpoint, draw fair conclusions, etc.)

Peer review has been conducted on the publications in a refereed journal. The papers were evaluated for quality by reputable academics or subject-matter experts before being approved for publication, so this tells us that they are of a high caliber. Also known as "scholarly" or "peer-reviewed," these pieces are published in journals.

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Answer:

59 ps

Step-by-step explanation:

Answer: 59 feet per second

Step-by-step explanation:

I'm assuming you made a typo and meant to type 'how many feet per second'

The speed of the Jackrabbits is 40 miles per hour.

We know that

1 mile = 5280 feet

1 hour = 3600 seconds

40 miles = (40 × 5280) feet = 211200 feet

211200/3600 = 58.67 feet per second

The speed of the Jackrabbits to the nearest whole number is 59 feet/second.

The missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.

The following are the missing reasons in the given proof;

1. <PAR and <TAS are vertical angles [given]

2. <PAR ≅ <TAS [vertical angles are congruent]

3. 3x + 14 = 50 - x [substitution]

4. 3x = 36 - x [subtraction]

5. 4x = 36 [addition]

6. x = 9 [division]

Therefore, the missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

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Step-by-step explanation:

Slope of the line: 6/5.

Answer:

for the first six members in the series of alkenes plot the number of hydrogen atoms on they exist in use this number the graph to drive the formula of alkane that has 10 carbon atoms. i will give brain list

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:

ax + b = c

Subtract b from both sides

ax - b = c - b

ax = c - b

Divide both sides by a

ax/a = c/a - b/a

x = c/a - b/a

x = (c - b)/a

b. 3x + 7 = 19

a = 3, b = 7, and c = 19

Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a

x = (19 - 7)/3

x = (12)/3

x = 4

x - 1 = 5

a = 1, b = -1, and c = 5

Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a

x = (5 - (-1))/1

x = 6/1

x = 6

In summary, we have:

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

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Jesse and Filipe are desk workers. In a day, Jesse burns about 480 more calories than Filipe.

A calorie is a unit of energy. The energy that food or drink provides to the body is measured in calories. The number of calories we eat and drink must equal the energy we consume through daily activity for weight maintenance.

A desk job is a job that requires sitting at a desk and working with a computer. It is regarded as a sedentary activity. When it comes to sitting at a desk, some individuals move about and stand more than others.

On average, a sedentary person burns about 1.2-1.4 times their basal metabolic rate (BMR) per day. BMR is the amount of energy (in calories) that the body needs to perform basic functions like breathing, circulating blood, and maintaining organ function while at rest.

So, if we assume that Jesse is more active than Filipe, we can estimate that Jesse burns about 1.4 times their BMR per day, while Filipe burns about 1.2 times their BMR per day.

Let's say that Jesse's BMR is 1800 calories per day, and Filipe's BMR is 1700 calories per day. Then we can estimate:

Jesse burns 1.4 x 1800 = 2520 calories per day

Filipe burns 1.2 x 1700 = 2040 calories per day

The difference in calorie burn between Jesse and Filipe is:

Jesse burns 2520 - 2040 = 480 more calories per day than Filipe

Therefore, Jesse burns about 480 more calories per day than Filipe due to his greater movement and standing.

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The value of the expression is 4/25.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is,

-16/25 - (-12/15)

Two negatives become positive.

-16/25 - (-12/15) = (-16/25) + (12/15)

Doing the cross multiplication,

-16/25 - (-12/15) = [(-16 × 15) + (12 × 25)] / [25 × 15]

                         = 60 / 375

                         = 12/75

                         = 4/25

Hence we get the resulting value as 4/25.

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The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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Answer:

90 degrees

Step-by-step explanation:

in a square the diagonals always intersect to form 90 degree angles.

Answer: -10x/3-7/10

Step-by-step explanation:

Answer:7/3 in exact form.

Step-by-step explanation:

If you need it in mixed form or decimal form. Decimal form:2.3

Mixed number form:2 1/3

Answer:

let's see what to do buddy...

Step-by-step explanation:

" First four terms " means :

t(1) , t(2) , t(3) , t(4)

\(t(1) = a(1) = 5(1) - 1 = 5 - 1 = 4 \\ t(2) = a(2) = 5(2) - 1 = 10 - 1 = 9 \\ t(3) = a(3) = 5(3) - 1 = 15 - 1 = 14 \\ t(4) = a(4) = 5(4) - 1 = 20 - 1 = 19 \\ \\ t(1) = 4 \\ t(2) = 9 \\ t(3) = 14 \\ t(4) = 19\)

So the first four terms

are : 4 , 9 , 14 , 19

Rolle's Theorem can be applied to the function f(x) = x^2 - 2x - 3 on the closed interval [-1, 3].

Rolle's Theorem states that if a function f(x) is continuous on the closed interval [a, b], differentiable on the open interval (a, b), and f(a) = f(b), then there exists at least one point c in the open interval (a, b) such that f'(c) = 0.

In this case, the function f(x) = x^2 - 2x - 3 is a polynomial, which is continuous and differentiable for all values of x. The closed interval [-1, 3] satisfies the conditions of Rolle's Theorem since f(a) = f(-1) = (-1)^2 - 2(-1) - 3 = 0 and f(b) = f(3) = 3^2 - 2(3) - 3 = 0.

Therefore, since the function f(x) satisfies the conditions of Rolle's Theorem on the closed interval [-1, 3], there exists at least one point c in the open interval (-1, 3) such that f'(c) = 0.

To find the values of c, we need to find the derivative of f(x) and solve for f''(c) = 0. Taking the derivative of f(x), we have:

f'(x) = 2x - 2.

To find the value(s) of c in the open interval (-1, 3) where f''(c) = 0, we need to find the second derivative of f(x) and solve for f''(c) = 0.

Differentiating f'(x), we have:

f''(x) = 2.

The second derivative of f(x) is a constant function, f''(x) = 2, which is equal to 0 for no value of x. Therefore, there are no values of c in the open interval (-1, 3) such that f''(c) = 0.

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The solution is, the value of a_3 = 21.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

given that,

a_1 = 3

let, common difference = d

and we have,

a_n = a_(n-1)^2 - 4

i.e. 3+ (n-1)d = (3+ (n-1-1) d)^2 -4

again we get,

a_2 = 9 - 4

      = 5

so, a_3 = 25-4

            =21

Hence, The solution is, the value of a_3 = 21.

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The average time in minutes a customer spends waiting in line for service is  5.49 minutes, so the correct answer is D. none of the choices listed.

We can use Little's Law to find the average time a customer spends waiting in line for service:

Average time in line = (Average number of customers in line) / (Service rate)

To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:

Lq = (ρ²) / (1 - ρ)

where

Lq is the average number of customers in the queue

ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate

So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8

And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2

Now we can use Little's Law:

Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35

Converting hours to minutes, we get:

Average time in line = (3.2 / 35) * 60 = 5.49 minutes

So the answer is D. none of the choices listed.

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Answer:

Step-by-step explanation:

To find the mean of a set of numbers you have to start by finding the sum of all the numbers. In this case the sum is 75. After you find the sum of the numbers count how many numbers are in the data set. Now divide the sum by the amount of numbers you counted. We have 5 numbers so when we divide 75 by 5 your answer is 15. Hope that helps!

Answer:

180, 145

Step-by-step explanation:

There are 60 minutes in an hour, so we do 3*60=180 for the first one.

For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.

Answer:

72 fish

Step-by-step explanation:

Answer:

42...................

The relationship is non-existent and positive about the plot in terms of the relationships between the two variables.

A scatter plot is a graph that compares two different sets of data by plotting them as points on a graph. A scatter plot is utilized to investigate the degree of correlation between two different data sets. The points' placement on a scatter plot implies a correlation between the two data sets that can be classified as positive, negative, or non-existent.

The following statements are true about the plot in terms of the relationships between the two variables:There is no association between music and living spaces.Therefore, the answer is: non-existent.The majority of students who play an instrument live off-campus.Therefore, the answer is: Positive.There is no association between the Northside and playing an instrument.Therefore, the answer is: Non-existent.

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Answer:

A - -6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5

I just took the test

The difference of the polynomials given is  -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Given are two polynomials are :

(-2x³y² + 4x²y3³ - 3xy⁴) and (6x⁴y - 5x²y³ - y⁵)

We need to subtract the polynomials and find the difference.

(-2x³y² + 4x²y3³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

By multiplying the signs into the brackets

= -2x³y² + 4x²y3³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

Grouping the like terms, we get

= -2x³y² + (4x²y3³ + 5x²y³) - 3xy⁴ - 6x⁴y + y⁵

= -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Therefore, the difference between the polynomials is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

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Answer:

30

Step-by-step explanation:

The margin of error for the 90% confidence interval is 0.012.

Given, a 90% confidence interval for the proportion of Americans with cancer was found to be (0.185, 0.210)

To calculate the margin of error, we can use the following formula:

margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

Substitute the given values,

margin of error = (0.210 - 0.185) / 2 = 0.0125 ≈ 0.012

Therefore, the margin of error for the confidence interval (0.185, 0.210) is 0.012.

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The rate of the car is 55 miles per hour.

Let's break down the information given:

- The first car left the house at 10 am and traveled north.

- The second car left the house two hours later, which means it departed at 12 pm, and traveled south.

- Both cars traveled at the same rate.

- At 4 pm, the cars were 550 miles apart.

To solve for the rate of each car, we need to determine the total time each car traveled.

For the first car:

It traveled from 10 am to 4 pm, which is a total of 6 hours.

For the second car:

It traveled from 12 pm to 4 pm, which is a total of 4 hours.

Now, let's calculate the rate of each car using the formula: Rate = Distance / Time.

Let's assume the rate for both cars is represented by "r".

For the first car:

Distance = r * 6 hours.

For the second car:

Distance = r * 4 hours.

The sum of the distances traveled by both cars is equal to the total distance between them:

(r * 6) + (r * 4) = 550 miles.

Simplifying the equation:

10r = 550.

Dividing both sides by 10:

r = 55.

Therefore, the rate of each car is 55 miles per hour.

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The equation of a circel which has center is $a + b + c + r = 1 + 10 - 4 + \sqrt{11} = 7 + \sqrt{11}.$

The equation of a circle with center at (h, k) and radius r is given by: $(x - h)^2 + (y - k)^2 = r^2$
Since the circle has a center at (-5, 2), we can write the equation as: $(x + 5)^2 + (y - 2)^2 = r^2$
Expanding the equation, we get: $x^2 + 10x + 25 + y^2 - 4y + 4 = r^2$

Given the equation of the circle in the form $ax^2 + 2y^2 + bx + cy = 40,$ we can compare the coefficients: $x^2 + 10x + y^2 - 4y = 40 - 25 - 4 = 11$. So, $a = 1, b = 10,$ and $c = -4.$
To find r, we can use the fact that $40 = r^2 + 25 + 4.$ Thus, $r^2 = 11,$ and $r = \sqrt{11}.$

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Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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Answer:

The quotient will be around 7

Step-by-step explanation:

Compatible numbers in division, refers to numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

Approximately

28 ÷ 4

=7

Answer:

the sample response is-

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation: