Find the value of the combination. 10C0 0 1 10

Answers

Answer 1

The formula to find the value of a combination is

[tex]C(n, r) = n! / (r!(n-r)!),[/tex]

where n represents the total number of items and r represents the number of items being chosen at a time. 10C0 is 1

In the  combination,

n = 10 and r = 0,

so the formula becomes:

C(10,0) = 10! / (0! (10-0)!) = 10! / (1 x 10!) = 1 / 1 = 1

This means that out of the 10 items, when choosing 0 at a time, there is only 1 way to do so. In other words, choosing 0 items from a set of 10 items will always result in a single set. This is because the empty set (which has 0 items) is the only possible set when no items are chosen from a set of items. Therefore, the value of the combination 10C0 is 1.

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Related Questions

What is the coefficient in the expression
6-4x-8+2

Answers

Answer:

-4 is the coefficient or -4x whatever the answers are

Step-by-step explanation:


the coefficient in mathematics is basically whatever the number is infront of a variable in an expression, equation, etc.

The coefficient in the expression 6-4x-8+2 is -4. The coefficient is the number that is multiplied by the variable, and in this case, the variable is x. The coefficient of x is the number that appears in front of x, which is -4.

Steven earns extra money babysitting. He charges $31.00 for 4 hours and $62.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.

To represent the relationship between the number of hours Steven babysits (x) and the amount he charges (y), we can use a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

From the given information, we can identify two data points:

(4, 31.00) and (8, 62.00)

Using these points, we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (62.00 - 31.00) / (8 - 4)

m = 31.00 / 4

m = 7.75

Now, we can substitute one of the points and the slope into the equation to find the y-intercept (b).

Using the point (4, 31.00):

31.00 = 7.75(4) + b

31.00 = 31.00 + b

b = 0

Therefore, the equation that represents the relationship between the number of hours Steven babysits (x) and the amount he charges (y) is:

y = 7.75x

The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.

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What number completes the sequence below? Enter your answer in the input
box at the bottom.
8——-4
16——8
24——12
32——?

Answers

Answer:

16

Step-by-step explanation:

the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then

32 → [tex]\frac{1}{2}[/tex] (32)

32 → 16

2. Sandra's house is located at the point (2,2). The school is located at the point (7, 10). Each
unit on the graph represents 1 mi. How far is the school from Sandra's house? Remember to
show your work.
Plot and label your points on the coordinate plane (1 point)
Use the Pythagorean Theorem to calculate the diagonal distance between the two
points, express your answer as a radical and as a decimal rounded to nearest
hundredths.

Answers

Answer:

Step-by-step explanation:

⦁ The construction of copying is started below. The next step is to set the width of the compass to the length of . How does this step ensure that the new angle will be congruent to the original angle?

Answers

Answer:

i believe by creating radii of equal lengths.

Step-by-step explanation:

it gives a path to create an angle congruent to angle APB. The angle APB would have the same radii (BP and AP) and the same width as the congruent angle that would be created.

Wish you good luck.

Select the correct answer.
The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the model
for the set of data.
y = 0.004z²0.314z + 7.5
Based on the model, approximately how much time does an 18-year-old spend watching television each day?
O A.
OB.
O C.
O D.
3 hours
2 hours
7.5 hours
0.5 hour

Answers

Based on the quadratic function, an 18 year old would spend 3 hours watching television.

Using the quadratic function given :

y = 0.004z²-0.314z + 7.5

The age is represented as the variable , 'z'

substitute z = 18 into the equation

y = (0.004*18²) - 0.314(18) + 7.5

y = 3.144

y = 3 hours approximately

Hence, an 18 year old spend approximately 18 hours watching television.

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In a sample of 5,000 students , the mean GPA is 2.80 and the standard deviation is 0.35. Assume the distribution to be normal.

How many students score below 2.60?

Answers

In a sample of 5000 students, the mean GPA is 2.80 and their standard deviation is 0.35 and 1428 students score below 2.60.

To find the number of students scoring below 2.60, we need to calculate the area under the normal distribution curve to the left of this value.

First, we need to standardize the value of 2.60 using the z-score formula: z = (x - μ) / σ, where x is the value (2.60), μ is the mean (2.80), and σ is the standard deviation (0.35). Plugging in the values, we get z = (2.60 - 2.80) / 0.35 = -0.57.

Now, we can use a standard normal distribution table or a statistical calculator to find the area to the left of -0.57. Consulting a standard normal distribution table, we find that the area to the left of -0.57 is approximately 0.2857.

To calculate the number of students scoring below 2.60, we multiply this area by the total number of students in the sample: 0.2857 * 5000 ≈ 1428.5.

Since the number of students must be a whole number, we round down to 1428 students.

Therefore, approximately 1428 students score below 2.60 in the sample of 5000 students, assuming a normal distribution with a mean of 2.80 and a standard deviation of 0.35.

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Francine currently has $55,000 in her 401k account at work, and plans to contribute $8,000 each year for the next 10 years. How much will she have in the account in 10 years, if the account averages a 4% annual return?

Answers

Answer:

Step-by-step explanation:

To calculate the future value of Francine's 401k account in 10 years, considering an annual contribution of $8,000 and an average annual return of 4%, we can use the formula for the future value of a series of regular payments, also known as an annuity.

The formula for the future value of an annuity is:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the payment amount

r is the interest rate per period

n is the number of periods

In this case:

P = $8,000 (annual contribution)

r = 4% or 0.04 (annual interest rate)

n = 10 (number of years)

Calculating the future value:

FV = $8,000 * [(1 + 0.04)^10 - 1] / 0.04

FV = $8,000 * (1.04^10 - 1) / 0.04

FV ≈ $8,000 * (1.480244 - 1) / 0.04

FV ≈ $8,000 * 0.480244 / 0.04

FV ≈ $8,000 * 12.0061

FV ≈ $96,048.80

Therefore, Francine will have approximately $96,048.80 in her 401k account in 10 years if the account averages a 4% annual return and she contributes $8,000 each year.

I need help please!!

Answers

Answer:

(r q)(-3) = -3

(q r)(-3) = -3

Step-by-step explanation:

let x = 1

q(1) = -1 +2 = 1

r(1) = 1² = 1

(r q)(-3) = ?

(1×1)(-3) = -3

(q r)(-3) = ?

(1×1)(-3) = -3

¿Cuál es el costo de un plátano si el racimo de 22 plátanos cuesta $23.10?​

Answers

The cost of a single unit is given as follows:

$1.05.

El costo de un plátano es el seguiente:

$1.05.

How to obtain the cost of a single unit?

The cost of a single unit is obtained applying the proportions in the context of the problem.

The cost of 22 units is of $23.10, hence the cost of a single unit is obtained dividing the total cost by the number of units, as follows:

23.1/22 = $1.05.

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Divisores pares de 100

Answers

Incluso divisores de 100 = 2, 4, 10, 20, 50 y 100.

Answer:

2, 4, 10, 20, 50, and 100.

Step-by-step explanation:

please help- (in need of answer please don't put gibberish this is serious work)​

Answers

Answer:

W = V/(LH)

Step-by-step explanation:

All we are doing is isolating W. Since V=LWH, then dividing both sides by LH will put W by itself on the right-hand side, you have V/(LH) = W as your equation

What is the answer? As the last one is incorrect

Answers

The best measure of center of the data is (a) mean; because the data are close together

How to determine the best measure of center of the data

From the question, we have the dataset of 10 values

In the given dataset, we can see that there are no outliers present in the dataset

By definition, outliers are extreme values.

Since there are no outliers, it means that the mean is the best measure of center

This is because the mean is affected by the presence of outliers and since no outlier is present, we use the mean

From the list of options, we have the mean value to be 42.536

Hence, the true statement is (a)

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JLK is similar to PQR find the value of X

Answers

Answer:

30

Step-by-step explanation:

22/33=20/x

cross multiply

22x=33x20

22x=660

x=660/22

x=30

Which of the segments below is a secant?
A. XY
B. UZ
C. XO

Answers

a, a sectant is a line that intersects a curve at a minimum of two distinct points

Pregunta 1
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• El área de un triángulo es de 30 pies cuadrados y la base mide 5 pies. ¿Cuál es la
altura del triángulo en pulgadas?

Answers

Answer:

I can't understand the language but try people who can

On a line graph, time is usually represented on the vertical axis.
O True
O False
--

Answers

False. Time is usually represented on the horizontal axis in a line graph.

need help please see attacged

Answers

The domain of f(x) is (0, +∞), and the range is (0, +∞). The graph of the function will have a vertical asymptote at x = 0 and will continuously increase as x approaches positive infinity.

To graph the given logarithmic function f(x) based on the table, we can use the information provided. The table presents pairs of values (x, y), where x represents the input and y represents the output of the function.

From the table, we can observe that the input values (x) are positive and non-zero. This indicates that the domain of the function is x > 0, meaning x is greater than zero. In interval notation, the domain would be written as (0, +∞).

Looking at the output values (y) in the table, we see that they are all positive. This suggests that the range of the function is y > 0, meaning y is greater than zero. In interval notation, the range would be expressed as (0, +∞).

Graphically, the function f(x) is logarithmic and will have a vertical asymptote at x = 0. As x approaches positive infinity, the function increases without bound. The graph starts at y = 125 when x = 1, and it intersects the y-axis at y = 5 when x = 1.5. The graph of the function will resemble a curve that approaches but never touches the x-axis.

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An event with probability 3/4 is more likely to happen than an event with probability 4/5

True or False why?

Answers

The given statement "An event with probability 3/4 is more likely to happen than an event with probability 4/5" is true.

The reason why we say an event with a higher probability is more likely to happen is because probability is the measure of how often an event will occur during a large number of trials.

Therefore, when we compare the probabilities of two events, we can expect that the one with the higher probability will occur more often and therefore is more likely to happen.For instance, in the context of a coin flip, the probability of getting heads is 1/2 while the probability of getting tails is also 1/2.

Therefore, both events are equally likely to happen. On the other hand, if we were to compare the probability of rolling a six-sided die and getting a 1, which has a probability of 1/6, with the probability of rolling the die and getting a number less than or equal to 4, which has a probability of 4/6 or 2/3, we can say that the latter is more likely to happen since it has a higher probability.

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Determine the limit in the following equation.

Answers

The limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.

How did we get the value?

To find the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches a certain value, we can simplify the expression and evaluate the limit.

First, let's simplify the expression:

lim (x² - √x⁴ + 3x²)

= lim (4x² - x² - √x⁴)

= lim (3x² - √x⁴)

Now, let's consider the behavior of the expression as x approaches a value.

As x approaches any finite value, the term 3x² will approach a finite value.

For the term √x⁴, as x approaches a finite value, the square root of x⁴ will approach the absolute value of x².

Therefore, the limit becomes:

lim (3x² - √x⁴) = lim (3x² - |x²|)

Next, let's consider the different cases as x approaches positive infinity, negative infinity, and zero.

1. As x approaches positive infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:

lim (3x² - |x²|) = lim (∞ - ∞)

In this case, the limit is indeterminate (∞ - ∞).

2. As x approaches negative infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:

lim (3x² - |x²|) = lim (∞ - ∞)

Again, in this case, the limit is indeterminate (∞ - ∞).

3. As x approaches zero, the term 3x² will tend to zero, and |x²| will also tend to zero. Thus, the expression becomes:

lim (3x² - |x²|) = lim (0 - 0) = 0

Therefore, the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.

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HELP THIS QUESTION IS HARD

Answers

Answer:

a)

[tex] \frac{1}{( - 7)^{4} } [/tex]

Answer:

[tex](-7)^-^4=\frac{1}{(-7)^4}[/tex]

Step-by-step explanation:

The user aswati already wrote the correct answer, but I wanted to help explain why their answer is correct so that you'll understand.

According to the negative exponent rule, when a base (let's call it m) is raised to a negative exponent (let's call it n), we rewrite it as a fraction where the numerator is 1 and the denominator is the base raised to the same exponent turned positive.

Thus, the negative exponent rule is given as:

[tex]b^-^n=\frac{1}{b^n}[/tex]

Thus, [tex](-7)^-^4[/tex] becomes [tex]\frac{1}{(-7)^4}[/tex]

Please help me with this question

Answers

Answer:

try (gauth math) could be helpful take screen shot and upload it it may be there or not hopefully it is

Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: ∠NYR and ∠RYA form a linear pair, ∠AXY and ∠AXZ form a linear pair, ∠RYA≅∠AXY
If you are using a screen-reader, please consult your instructor for assistance.

Prove: ∠NYR≅∠AXY
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠NYR and ∠RYA are supplementary
m∠NYR+m∠RYA=180
∠AXY and ∠AXZ are supplementary If two angles form a linear pair, then they are supplementary angles
Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
∠RYA≅∠AXY
m∠NYR+m∠RYA=m∠AXY+m∠RYA Substitution Property of Equality
m∠NYR=m∠AXY

Answers

Answer:

Step Reason

∠NYR and ∠RYA form a linear pair

∠AXY and ∠AXZ form a linear pair Given

∠RYA≅∠AXY Given

∠NYR and ∠RYA are supplementary Definition of Linear Pair

If two angles form a linear pair, then they are supplementary angles Definition of Linear Pair

∠NYR and ∠AXY are supplementary Transitive Property of Equality

m∠NYR+m∠RYA=180

m∠AXY+m∠AXZ=180 Definition of Supplementary Angles

m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality

m∠NYR+m∠RYA=m∠NYR+m∠AXZ Substitution Property of Equality

m∠RYA=m∠AXZ Subtraction Property of Equality

∠NYR and ∠AXY are supplementary Definition of Supplementary Angles

m∠NYR+m∠AXY=180

m∠NYR+m∠RYA=m∠NYR+m∠AXY Substitution Property of Equality

m∠RYA=m∠AXY Subtraction Property of Equality

∠NYR≅∠AXY Definition of Congruent Angles.

Which linear function has the greatest y-intercept?
y = 6 x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3 x + 4

Answers

The linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].

In a linear equation, the y-intercept is where the line crosses the y-axis.

It is represented by the constant term in the equation.

So, to determine which linear function has the greatest y-intercept, we need to look at the constant term of each equation.

Let's consider each equation: [tex]y = 6x + 1[/tex]

The constant term in this equation is 1.

So, the y-intercept is 1.

On a coordinate plane, a line goes through points (0, 2) and (5, 0).

To find the equation of this line, we can use the point-slope form:

[tex]y - y1 = m(x - x1)[/tex]

where m is the slope and (x1, y1) is a point on the line.

Using the points (0, 2) and (5, 0), we get:

[tex]m = \frac{(0 - 2)}{(5 - 0)} =-\frac{2}{5}[/tex]

So, the equation of the line is:

[tex]y - 2 = (\frac{-2}{5} )(x - 0)[/tex]

[tex]y = (\frac{-2}{5} )x + 2[/tex]

The constant term in this equation is 2.

So, the y-intercept is 2.

On a coordinate plane, a line goes through points (1, 2) and (0, -3).

To find the equation of this line, we can use the point-slope form:

[tex]y - y1 = m(x - x1)[/tex]

where m is the slope and (x1, y1) is a point on the line.

Using the points (1, 2) and (0, -3), we get:

[tex]m = \frac{ (-3 - 2) }{(0 - 1)} = -5[/tex]

So, the equation of the line is:

[tex]y - 2 = (-5)(x - 1)y = -5x + 7[/tex]

The constant term in this equation is 7.

So, the y-intercept is 7.

[tex]y = 3x + 4[/tex]

The constant term in this equation is 4.

So, the y-intercept is 4.

Therefore, we can see that the linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].

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anna rolled a pair of number cubes what is the probability of getting even number on both sides PLSSS HELP ME

Answers

It is best to draw a table of outcomes and list all the possible outcomes when you roll a pair of numbered cubes. As follows:

                          1             2           3            4          5          6

                   1    ( 1 , 1 )   ( 1 , 2 )   ( 1 , 3 )   ( 1 , 4 )   ( 1 , 5 )   ( 1 , 6 )

                   2   ( 2 , 1 )  ( 2, 2 )   ( 2 , 3 )  ( 2 , 4 )  ( 2 , 5 )  ( 2 , 6 )

                   3   ( 3 , 1 )  ( 3 , 2 )  ( 3 , 3 )   ( 3 , 4 )  ( 3 , 5 )  ( 3 , 6 )

                   4   ( 4 , 1 )  ( 4 , 2 )  ( 4 , 3 )   ( 4 , 4 )  ( 4 , 5 )  ( 4 , 6 )

                   5   ( 5 , 1 )  ( 5 , 2 )  ( 5 , 3 )  ( 5 , 4 )  ( 5 , 5 )  ( 5 , 6 )

                   6   ( 6 , 1 )  ( 6 , 2 )  ( 6 , 3 )  ( 6 , 4 )  ( 6 , 5 )  ( 6 , 6 )

- Each cube has 6 faces, Hence, 6 numbers for each are expressed as row and column for first and second cube respectively.

- Now locate and highlight all the even pairs shown in bold.

- The total number of even pairs outcomes are = 9.

- The total possibilities are = 36.

- The probability of getting even pairs as favorable outcome can be expressed as:

                 P ( Even pairs ) = Favorable outcomes / Total outcomes

                 P ( Even pairs ) = 9 / 36

                 P ( Even pairs ) = 1 / 4.

- So the probability of getting an even pair when a pair of number cubes are rolled is 1/4

There are 6 possible outcomes for each roll of a number cube, and since Anna rolled a pair of number cubes, there are 6 x 6 = 36 possible outcomes in total.

If she wants to get an even number on both sides, the possible outcomes are (2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), and (6,6).

So there are 9 possible outcomes that result in an even number on both sides.

Therefore, the probability of getting an even number on both sides is 9/36, which can be simplified to 1/4 or 25%.

My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?

Answers

Answer:

Step-by-step explanation:

This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?

the month net salary rate of a married secondary level teacher of 4 grade is Rs 43,689. s/he gets Rs 1,456 for one grade , Rs 2,000 for dearness allowance in every month and one month salary for festival allowance at once. 10% of his/her monthly salary is deposited in employee's provident fund (EPF), 10% in citizen investment fund (CIF) and Rs 400 in life insurance in each month. the government deposits the same EPF and insurance premium amounts in the related offices
1) find his/her assessable income
2) find his/her total income tax ​

Answers

Answer:

Step-by-step explanation:

The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.

We have,

The monthly basic salary of the married Chief Secretary of Nepal Government is given as Rs 74,000.

This is the fixed amount he receives as his base salary every month, before any additional allowances or deductions are considered.

Now,

In this case, the dearness allowance of Rs 2,000 is added to the basic salary.

This allowance is provided to compensate for the rising cost of living and is a fixed amount added to the basic salary.

Additionally, he receives 1 month's basic salary as a festival allowance. Since his monthly basic salary is Rs 74,000, his festival allowance would also be Rs 74,000.

Therefore, his total monthly salary can be calculated as follows:

Basic salary + Dearness allowance + Festival allowance

= Rs 74,000 + Rs 2,000 + Rs 74,000

= Rs 1,50,000

Thus,

The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.

Find Tan A 6-11, please?

Answers

Answer:

5) tan A = 0.42

6) Acute angle is less than 90°

7) Right angle is exactly 90°

8) Obtuse angle is greater than 90° but less than 180°

9) Straight angle is exactly 180°

10) Complementary angles add up to 90°

11) Supplementary angles add up to 180°

Step-by-step explanation:

tan A = opposite / adjacent

= 5/12

= 0.42

Given the graphs of y = f(x) and y = g(x),

g(x) = f(x) +

expresses g(x) in terms of f(x)

Answers

The expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).

To express the function g(x) in terms of f(x), we need to understand the relationship between the two functions.

The given expression g(x) = f(x) + indicates that the function g(x) is obtained by adding a certain value or expression to the function f(x). expression for g(x) in terms of f(x).

In general, if we have the function g(x) = f(x) + c, where c is a constant value, then g(x) can be expressed in terms of f(x) as:

g(x) = f(x) + c

In this case, g(x) is obtained by adding the constant value c to the corresponding values of f(x).

It's important to note that without additional information about the specific relationship between f(x) and g(x), such as a functional equation or given values, we cannot provide a more precise expression for g(x) in terms of f(x).

Therefore, the expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).

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Answer: 3

Step-by-step explanation: just 3

Edge 2020

10 donuts cost $2.99 how much 1 cost?

Answers

0.299 for the one donut
Other Questions
n 1896, the first Green Jacket Golf Championship was held. The winners prize money was $185. In 2020, the winners check was $2,370,000. What was the annual percentage increase in the winners check over this period? If the winners prize increases at the same rate, what will it be in 2055? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16 4. Describe how the concept of judicial review protects citizensin the United States. From whom does it protect them ? Brieflystate why and how was the concept established. "Over the past seven years, Mrs. Brundage has owned, at different times, four color TVs. Each was made in Hong Kong, had remote-control tuning, and broke down after about six months. She has just bought a new TV, also a color set made in Hong Kong with remote-control tuning. Therefore, her new TV will break down in about six months" is an example ofQuestion 1 options:A. analogyB. statistical syllogismC. enumerative inductionD. causal argument Peer-to-peer lending, which allows individuals to borrow and lend money while bypassing financial institutions, is also calledbuddy lending.angel investing.social lending.Web investing.crowd jumping. Should we move toward true Free Trade? Remove all traderestrictions? Wouldn't everything balance out? Businesses andconsumers could buy the product with the best value for them? Bob thinks that stores opening on Thanksgiving instead of Black Friday is wrong. Bob speaks to a group of like-minded friends who feel the same way and after his conversation he feels even stronger that his option is correct. What concept is this example demonstrating? o Multiple Choice o groupthink o group polarizationo discrimination self-serving bias Why is Freud's concept of the ego, considered the "executive of personality"?Multiple Choice O it is the first to form and therefore the most senior personality structure.O it generates and provides the psychic energy upon which the other personality structures depend.O it must balance the needs of the id, superego, and reality. Oit functions primarily in the conscious mind, which represents the highest level of mental functioning. 1. ABC Corp and MMM Corp are identical in every way except their capital structures. ABC Corp., an all-equity firm, has 20,000 shares of stock outstanding, and it's cost of capital is 6.45%. MMM Corp. uses leverage in its capital structure. The market value of MMM's debt is $85,000, and it's cost of debt is 9%. Each firm is expected to have earnings before interest (EBIT) of $93,000 in perpetuity. Assume that the marginal tax rate for each firm is 22%. How much will it cost to purchase 20% of MMM's equity?a. $175,432.31b. $237,652.81c. $198,478.26d. $228,670.23e. None of the above Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old. How do learning leaders exercise HINDSIGHT in their management/leadership roles to use the archetypes for executive-level perspective, for FORESIGHT? Discuss within the context of the shifting the burden or drifting goals archetypes. a story beginning with it is good to be great . A charge of +77 C is placed on the x-axis at x = 0. A second charge of -40 C is placed on the x-axis at x = 50 cm. What is the magnitude of the electrostatic force on a third charge of 4.0 C placed on the x-axis at x = 41 cm? Give your answer in whole numbers. A company has a revenue of R(x) = -4x+10x and a cost of c(x) = 8.12x-10.8. Determine whether the company can break even. If the company can break even, determine in how many ways it can do so. See hint to recall what it means to break even. Assume you want to examine the reponse of a number strains to a 2,3,5 triphenyltetrazolium (TTC) agar overlay. Place the available options in the correct order (start to finish) that would allow you to perform the test most effectively.1. Place YPD agar medium with strains at 30C2. Assess any color formation in the TC overlay after an appropriate period of time3. Wait to for TTC to set4. Inoculate strains on the surface of YPD agar medium in small patches5. Overlay molten TC agarose6. Incubate the strains for 48-72 hours. In the following three scenarios, an object is located on one side of a converging lens. In each case, you must determine if the lens forms an image of this object. If it does, you also must determine the following.whether the image is real or virtualwhether the image is upright or invertedthe image's location, qthe image's magnification, MThe focal length isf = 60.0 cmfor this lens.Set both q and M to zero if no image exists.Note: If q appears to be infinite, the image does not exist (but nevertheless set q to 0 when entering your answers to that particular scenario).(a)The object lies at position 60.0 cm. (Enter the value for q in cm.)q= cmM=Select all that apply to part (a).realvirtualuprightinvertedno image(b)The object lies at position 7.06 cm. (Enter the value for q in cm.)q= cmM=Select all that apply to part (b).realvirtualuprightinvertedno image(c)The object lies at position 300 cm. (Enter the value for q in cm.)q= cmM=Select all that apply to part (c).realvirtualuprightinvertedno image Speech you have been emmbrassung experince at school result Listen Researchers conducting an experiment can ensure temporal precedence by doing which of the following? A. Manipulating the cause before measuring the effect B. Establishing covariance C. Having a control group D. Running a manipulation check How many of these reactions must occur per second to produce a power output of 28? L.S. is a 7-year-old who has been brought to the emergency department (ED) by his mother. She immediately tells you he has a history of ED visits for his asthma. He uses an inhaler when he wheezes, but it ran out a month ago. She is a single parent and has two other children at home with a babysitter. Your assessment finds L.S. alert, oriented, and extremely anxious. His color is pale, and his nail beds are dusky and cool to the touch; other findings are heart rate 136 beats/min, respiratory rate 36 breaths/min regular and even, oral temperature 37.3" C (99.1* F), Sa02 89%, breath sounds decreased in lower lobes bilaterally and congested with inspiratory and expiratory wheezes, prolonged expirations, and a productive cough. QUESTIONS: 1. As you ask Ms. S. questions, you note that L.S.'s respiratory rate is increasing; he is sitting on the side of the bed, leaning slightly forward, and is having difficulty breathing. Give interventions are appropriate at this time and rationalize it. 2. Identify the nursing responsibilities associated with giving bronchodilators. 3. He improves and 24 hours later is transferred to the floor. Asthma teaching is ordered. You assess Ms. S.'s understanding of asthma and her understanding of the disorder L.S. tells you that he loves to play basketball and football and asks you whether he can still do these activities. How will you respond? 4. What additional information should be included in your discharge teaching regarding how to prevent acute asthmatic episodes and how to manage symptoms of exacerbation of asthma? 1. As you ask Ms. S. questions, you note that L.S.'s respiratory rate is increasing; he is sitting on the side of the bed, leaning slightly forward, and is having difficulty breathing. Give interventions are appropriate at this time and rationalize it. 2. Identify the nursing responsibilities associated with giving bronchodilators. 3. He improves and 24 hours later is transferred to the floor. Asthma teaching is ordered. You assess Ms. S.'s understanding of asthma and her understanding of the disorder L.S. tells you that he loves to play basketball and football and asks you whether he can still do these activities. How will you respond? 4. What additional information should be included in your discharge teaching regarding how to prevent acute asthmatic episodes and how to manage symptoms of exacerbation of asthma? 1. As you ask Ms. S. questions, you note that L.S.'s respiratory rate is increasing; he is sitting on the side of the bed, leaning slightly forward, and is having difficulty breathing. Give interventions are appropriate at this time and rationalize it. 2. Identify the nursing responsibilities associated with giving bronchodilators. 3. He improves and 24 hours later is transferred to the floor. Asthma teaching is ordered. You assess Ms. S.'s understanding of asthma and her understanding of the disorder L.S. tells you that he loves to play basketball and football and asks you whether he can still do these activities. How will you respond? 4. What additional information should be included in your discharge teaching regarding how to prevent acute asthmatic episodes and how to manage symptoms of exacerbation of asthma? A pension fund has an average duration of its liabilities equal to 10 years. The fund is looking at 6-year maturity zero-coupon bonds and 5% yield perpetuities to immunize its interest rate risk. How much of its portfolio should it allocate to the zero-coupon bonds to immunize if there are no other assets funding the plan? NOTE: Duration for a consol bond is =(1+YTM)/YTM 52.86% 73.3 65.7% 47.14% Particles q = -66.3 C, q2 = +108 C, andq3 = -43.2 C are in a line. Particles q and q2 areseparated by 0.550 m and particles q2 and q3 areseparated by 0.550 m. What is the net force onparticle q?Remember: Negative forces (-F) will point LeftPositive forces (+F) will point Right