What is the value of 2|6 + p| - 3p^3 when p = -2?

Answers

Answer 1

Answer:p

=

2

,

8

7

Decimal Form:

p

=

2

,

1.

¯¯¯¯¯¯¯¯¯¯¯¯

142857

Mixed Number Form:

p

=

2

,

1

1

7

Step-by-step explanation:


Related Questions

Which equation can be used to prove 1 + tan2(x) = sec2(x)?

StartFraction cosine squared (x) Over secant squared (x) EndFraction + StartFraction sine squared (x) Over secant squared (x) EndFraction = StartFraction 1 Over secant squared (x) EndFraction
StartFraction cosine squared (x) Over sine squared (x) EndFraction + StartFraction sine squared (x) Over sine squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
StartFraction cosine squared (x) Over cosine squared (x) EndFraction + StartFraction sine squared (x) Over cosine squared (x) EndFraction = StartFraction 1 Over cosine squared (x) EndFraction

Answers

The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

How to explain the equation

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9

Answers

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

What is the solution to the equation?

3(x+9)^3/4=24

Answers

Answer:

The solution is x= 2 cubic root 4 -9 or -5.825

Step-by-step explanation:

3(x+9)^3/4=24

3(x^3 + 27)/4=24

3x^3+81/4=24

0.75x^3 +20.25=24

0.75x^3=2.75

x= 2 cubic root 4 -9 or -5.825

so i think the answer is 16 , but I'm not sure

so i think the answer is 16 , but I'm not sure

Answers

Answer:

Im pretty sure its 16 but please for the love of god wait for someone else to answer

Simplify. Write the answer as a decimal.25 − 3 /25

Answers

Answer:

24.88

Step-by-step explanation:

We can simplify the expression as follows:

25 − 3/25 = (25^2/25) − 3/25

= (625/25) − 3/25

= 622/25

Expressing this as a decimal gives:

622/25 ≈ 24.88

Therefore, the simplified expression as a decimal is approximately 24.88.

The answer would be 24.88

PLZ HELP ME WITH THIS!!!!!!!!!!!!!!!!!

PLZ HELP ME WITH THIS!!!!!!!!!!!!!!!!!

Answers

Answer: 2

Step-by-step explanation:

Negatives cancel out positives

Reflect ABCD over the y-axis. Determine the coordinates for A'.

Reflect ABCD over the y-axis. Determine the coordinates for A'.

Answers

Answer:

x- 2 y4

Step-by-step explanation:

u just flip the square

Answer:

\((3,-2)\)

Step-by-step explanation:

Before the transformation, \(A\)'s coordinates are (-3,-2). When you do the transformation, you flip the x-axis' coordinate. In other words, you change the x-coordinate to its opposite.

By the associative property,1+(k+9) is equivalent to what

Answers

By the associative property, the equation 1+(k+9) is equivalent to 1 + (9 + k) and (1 + k) + 9.

According to the associative property of addition, which is a basic tenet of arithmetic, the arrangement of the terms in an addition expression has no bearing on the sum. In other words, any grouping we choose will get the same result if the sum of three or more numbers is known.

More formally, the associative property of addition can be stated as follows:

For any three numbers a, b, and c, (a + b) + c = a + (b + c)

Now in the given question, we can regroup the sum 1 + (k + 9) as (1 + k) + 9 or as 1 + (k + 9), and both expressions are equivalent.

So, the expression 1 + (k + 9) is already in its simplified form and does not need any further simplification using the associative property.

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What is the measure of angle bcd? 25º 40º 140º 155º

Answers

After solving, the measure of angle BCD is 25 degree.

In the given question, we have to find the measure of angle BCD.

As we know that the angle of line is 180 degree.

From the graph we can see that angle yAD = 25 degree

So, the value of angle DAB = 180 - 25

The value of angle DAB = 155

As we know that in the quadrilateral the sum of opposite angle is equal to 180 degree.

So ∠DAB + ∠BCD = 180

155 + ∠BCD = 180

Subtract 155 on both side, we get

∠BCD = 25 degree

Hence, the measure of angle BCD is 25 degree.

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What is the measure of angle bcd? 25 40 140 155

The measure of angle BCD is 45 degrees.

To solve for the measure of angle BCD, we need to use the Triangle Angle Sum Theorem which states that the measure of the angles of a triangle add up to 180 degrees.

Let us use the following figure to illustrate the calculation:

We have angle BCD with unknown measure, angle ABC with measure 45 degrees, and angle ACD with measure 90 degrees.

We can now use the Triangle Angle Sum Theorem to find the measure of angle BCD.

180 degrees = 45 degrees + 90 degrees + x

x = 180 degrees - 135 degrees

x = 45 degrees

Therefore, the measure of angle BCD is 45 degrees.

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5. ignoring the effect of the oblate spheroid (and assuming the earth is a perfect sphere), if you were to travel 253 miles north from the equator, how many degrees of latitude would you have covered?

Answers

You would have covered approximately 3.65 degrees of latitude when traveling 253 miles north from the equator on a perfect sphere Earth.

To determine how many degrees of latitude you would have covered when traveling 253 miles north from the equator on a perfect sphere Earth, we need to consider the Earth's circumference and the conversion factor between distance and degrees of latitude.

The Earth's circumference around the equator is approximately 24,901 miles. Since there are 360 degrees in a full circle, each degree of latitude corresponds to (24,901 miles / 360 degrees) ≈ 69.17 miles.

Therefore, to find the number of degrees of latitude covered when traveling 253 miles north from the equator, we divide the distance by the conversion factor:

253 miles / 69.17 miles/degree ≈ 3.65 degrees.

Hence, you would have covered approximately 3.65 degrees of latitude when traveling 253 miles north from the equator on a perfect sphere Earth.

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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.

When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?

Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed

Answers

Median, because Sunny Town is skewed.

What is descriptive statistics?

Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.

Median, because Sunny Town is skewed.

The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.

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Translate algebraic words to symbols.
W
Twelve more than x is greater than
two
A. 12x>2
B. 12/x < 2
C. x + 12>2
D. 12-x>2

Translate algebraic words to symbols.WTwelve more than x is greater thantwoA. 12x&gt;2B. 12/x &lt; 2C.

Answers

Answer:

C. x + 12 > 2

Step-by-step explanation:

Given:

Twelve more than x is greater than two

Required:

Translate to symbols

Solution:

Twelve more than x can be represented as "x + 12"

Greater than is represented by the symbol ">"

Two represented as "2"

Therefore, the translation to symbols would be:

x + 12 > 2

What is the algebraic solution to the function 2x+3=83

Answers

3-83= 80
80 divided by 2 is 40
the answer is 40

Answer:

x = 40

Step-by-step explanation:

Solve for x

2x + 3 = 83      Subtract 3 from both sides

2x = 80            Divide 2 on both sides

x = 40

The algebraic solution to the function is x = 40

Find the measure of the missing angle
measure 2= 57

Find the measure of the missing angle measure 2= 57

Answers

Answer: x= 15

Step-by-step explanation:

100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?

100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random

Answers

Answer:

\( \frac{17}{28}\)

Step-by-step explanation:

There are 56 females

There is 56 females

34 are 20+

34/56 simplfies to 17/28

PLEASE HURY!!!! 20 PIONTS!!!! Find the area of this shape

PLEASE HURY!!!! 20 PIONTS!!!! Find the area of this shape

Answers

Answer:

it is 3

Step-by-step explanation:

Answer: Hope this helps <3

Step-by-step explanation: the answer is: The Area Of This Shape Is 3

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
A) Yes, because 4 + 5 > 8
B) Yes, because 5 + 8 > 4
C) No, because 4 + 5 > 8
D) No, because 5 + 8 > 4

Answers

Answer: Yes, because 4 + 5 > 8

Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle

Answer:

The answer is A) Yes, because 4 + 5 > 8

Step-by-step explanation:

I got it right loves <3

Ues the GCF to write the factored form of the expression 18x + 24y

Answers

Answer:

6(3x + 4y) the factored form of the expression 18x + 24y

Ues the GCF to write the factored form of the expression 18x + 24y

What does a low value for the measure of variation for a data set imply? a.) The data is spread out from the center. b.) The data is bunched up near the center. c.) The data set is normally distributed. d.) The data set contains one or more outliers.

Answers

Option B is correct- The data is bunched up near the center.

the data is concentrated near the center.

variation for a data set

When a distribution has lower variability, the values in a dataset are more consistent. However, when the variability is higher, the data points are more dissimilar and extreme values become more likely. Consequently, understanding variability helps you grasp the likelihood of unusual events.

The lower the value of the coefficient of variation, the more precise the estimate.

Measure of variation called standard deviation.

Standard deviation is the average or standard distance between each point of data and the mean. It's the standard amount of variability in your data set.

so , the data is concentrated near the center and The data is bunched up near the center.

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A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over 2 x 10.

Answers

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

Equation of the line

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

\((y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Where \((x_1,y_1)\) and \((x_2,y_2)\) are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

\((y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\\)

Divide by 2 both the side,

\(y=2x-4\)

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

\(y=2x-4\)

Hence the option 3 is the correct option.

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Suppose Capital One is advertising a 60​-month, 5.54% APR motorcycle loan. If you need to borrow $7,200 to purchase your dream​ Harley-Davidson, what will be your monthly​ payment?​ (Note: Be careful not to round any intermediate steps less than six decimal​ places.)

Your monthly payment will be ​$ . ​(Round to the nearest​ cent.)

Answers

Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:

PMT = PV * r / (1 - (1 + r)^(-n))

Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months

In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.

Plugging in these values into the formula, we get:

PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))

Evaluating this expression, the monthly payment comes out to be approximately $136.88.

Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

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what is the distance between the line going through points (1, -5/4) and (1/3, -3/4) and the point (2, -3)?

Answers

Answer:

1.60078105936

Step-by-step explanation:

Assuming that the x-axis tick marks will be separated by 5 (5, 10, 15, and so on), what is the largest value that should appear on the x-axis

Answers

The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is

Answers

The most the salon would be willing to pay that groomer is $25×4 = $100.

What is unitary method?

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.

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Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) What is the probability that Teo has more than $8?

b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?

Answers

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

.Which of the following refers to rules of thumb that simplify the process of making decisions?
A. Dialectical inquiry
B. Biases
C. Heuristics
D. Creativity
E. Practical alternatives

Answers

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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A facility complex where there are 5 existing department (D1, D2, D3, D4, D5) around a central courtyard or circulation space area for material handling and setup and storage. Two new facilities (F1 and F2) to serve the 5 departments are going to be located at two of the 3 points {A, B, C} in the courtyard. You wish to find the location of F1 and F2 that minimizes the total distance traveled in two-way trips to and from the existing departments. The number of two-way trips per day is (20, 5, 10, 5, 15) and (20, 20, 10, 0, 8) for F1 and F2, respectively. Assume that travel is initiated from the central location of the departments, as indicated by their coordinates: Department (x, y): D1 (1, 7), D2 (7, 12), D3 (15, 7), D4 (12, 2), D5 (4, 3). Point (x, y): A (6, 8), B (10, 8), C (7, 5). The rule to locate the facility is: each facility can only be located to one point; each point can only locate one facility. The worst case is:
1 F1 to A, and F2 to B
2 F2 to A, and F1 to B
3 F1 to C, and F2 to B
4 None of them
5 F1 to B, and F2 to C

Answers

After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.

To determine the worst-case scenario that minimizes the total distance traveled in two-way trips to and from the existing departments, we need to calculate the total distance for each possible combination of facility locations (F1 and F2).

Let's calculate the total distance for each scenario:

F1 to A, and F2 to B:

Total distance = distance(D1 to F1) + distance(F1 to A) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

F2 to A, and F1 to B:

Total distance = distance(D1 to F2) + distance(F2 to A) + distance(D2 to F1) + distance(F1 to B) + distance(D3 to F1) + distance(D4 to F1) + distance(D5 to F2)

Calculate the distances using the coordinates provided and sum them up.

F1 to C, and F2 to B:

Total distance = distance(D1 to F1) + distance(F1 to C) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

None of them (No facility locations specified)

F1 to B, and F2 to C:

Total distance = distance(D1 to F1) + distance(F1 to B) + distance(D2 to F1) + distance(F2 to C) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.

Please note that to calculate the distance between two points, you can use the Euclidean distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Perform the calculations for each scenario to determine the worst-case scenario that minimizes the total distance traveled.

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7. Mrs. Golden pulls names from the jar to determine who will be the class leader. There are 13
girls and 9 boys in the class. What is the probability that a boy will be the class leader?

Answers

Answer:

9:22

Step-by-step explanation:

9 is the boys 13 is the girls

22 is the total

Help please :). I need to graph these points. I know 3/2 is the slope and -5 is the y-intercept, I just don’t know how to graph them.

Help please :). I need to graph these points. I know 3/2 is the slope and -5 is the y-intercept, I just

Answers

Answer: DIY

Step-by-step explanation: i think the Y intercept is where the line goes through the Y axis line, which in this case would be -5. To graph slope, start at the Y intercept and go 3 up and 2 right

I think thats how you do it

Answer:

(0,-5)(2,-2)

Step-by-step explanation:

So your first point will be on the y-axis on -5 because that is the y-intercept so that´s your starting point.and how i learned how to graph is that the top number on the slope (in your case 3) is how many you go up or down the y-axis and your bottom number (in your case 2) is how many you go across.

Example : 3/2 you go up 3 and to the right 2

You always go right when going across never to the left

Example 2: -3/2 you go down 3 and to the right 2

Hope this helped!

Just message if you still need help

What is a direct linear graph?

Answers

The direct variation equation is a linear equation in two variables and is given by y = kx where k is the constant proportionality. The direct variation graph in a coordinate plane is a straight line. The ratio of two quantities in a direct variation is a constant.

Now, According to the question:

What is Direct Variation?

Direct variation exists between any two variables when one quantity is directly dependent on the other i.e. if one quantity increases with respect to the other quantity and vice versa. It is the relationship between two variables where one of the variables is a constant multiple of the other. Since the two variables are directly related to each other it is also termed as directly proportional.

Hence, The direct variation equation is a linear equation in two variables and is given by y = kx where k is the constant proportionality. The direct variation graph in a coordinate plane is a straight line. The ratio of two quantities in a direct variation is a constant.

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Ex Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 130 cars, 21 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 95% confidence. Round intermediate and final answers to at least three decimal places Ispc Check Answer Save For Later Submit Assignment Write a shorth essay about two symbols that you think are important in a a raisin in the sun. how do these symbols serve to develop at least one of the plays themes? analyze the development of these symbols over the curse of the play, and describe the resulting affects on the readers experience. be sure to include examples from the text to support your answer. 2.1 Hoy yo(llamar) por telfono a todos mis amigos. Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually The national society of acupuncturists asked a random sample of 450 adults their opinion about acupuncture being a reasonable form of medicine or not a reasonable form of medicine. The table below shows the responses, along with the highest level of education achieved for each person selected. (ELA) Jessica heard a strange noise from the house across the street. She decided to check it out. Which character tralt best describes Jessica?A. kindnessB. carefulnessC. curiosityD. generosity There are people who stay out of the water because theyre afraid of sharks. Some run away from snakes. Still others will cross the street to avoid an approaching dog. But the tiny mosquito is the animal we should try hardest to avoid. Mosquito-borne diseases kill approximately 750,000 people every year."Which sentence in the paragraph expresses an opinion rather than a fact? First answer correct gets brainleist Productive conflict isGroup of answer choicesa. issues-based.b. person-based.c. groupthink-based.d. motivation-based. which of the following polynomials are quadratic Choose all answers that apply:4x^2+3x+1 x+y x^2+4x Coach Tobias pays $136.78 for cable and internet each month. How much does Coach Tobias pay for cable and internet over the period of a year? At its peak in ________, the federal bureaucracy had ________ employees, not including military personnel. Describe the Gilded Age and provide detail on how this period in American history allowed for business leaders to amass unprecedented wealth at the expense of workers. Also discussing upon the absence of the American federal government to regulate business or further provide safety measures (i.e. on food, housing, or workplaces) for AmericansWill give brainliest!! can competitive sports teach us about life? the nurse is caring for a client who is admitted for hypertension (htn). the nurse notes that the client has not been eating the food provided, and family members have brought in homemade food. what would be the best response by the nurse? Weight is equal to:A. mg^2B. m/gC. mgD. m^2g Select the correct answer.Some crops in Mathew's field were destroyed by some insects. To avoid future destruction of his crops, he decided to release sterile male insectsin his field. Which pest control technique did he use?OAchemical pest control.cultural pest controlOC. genetic pest controlOD. biological pest control Consider two machines that are maintained by a single repairman. Machine i functions for an exponential amount of time with rate i before breaking down, i=1,2. The repair times (for either machine) are exponential with rate .a) Can we analyze this as a birth and death process? Briefly explain your answer.b) Model this as a continuous time Markov chain (CTMC). Clearly define all the states and draw the rate diagram. If x=1/8 what is the value of y when 2/x = y/4 Point F is on line segment EG. Given FG = 3x 5, EF = x, andEG = 5x 8, determine the numerical length of FG.