Using the formula for the area of a triangle, area=1/2*base*height , write an expression for the area of ΔABC. This time, base your answer on the work you did in part E. Show your work. The graph so far is provided.

Answer:

10^3

Step-by-step explanation:

The basis of $70,000 represents the cost incurred by ABC to acquire the assets, serving as a starting point for accounting and tax purposes.

When abc pays $70,000 for the assets, that amount becomes the basis of the assets for abc. The basis represents the cost or value assigned to the assets for accounting and tax purposes. It is used to determine the potential gain or loss when the assets are sold or disposed of in the future.

The basis in the assets is important because it affects the calculation of depreciation, which is the systematic allocation of the cost of the assets over their useful life. By knowing the basis, abc can determine the amount of depreciation expense to be recognized each year.

Additionally, the basis is crucial for determining the gain or loss on the sale of the assets. If abc decides to sell the assets in the future, the basis will be subtracted from the sale price to calculate the taxable gain or loss. A higher basis would result in a lower taxable gain or a higher deductible loss.

In summary, when abc pays $70,000 for the assets, that becomes the basis of the assets. The basis is used for calculating depreciation and determining the gain or loss on the sale of the assets.

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The factored form of the binomial 4x^2 - 25 is (2x - 5)(2x + 5).

To factor the binomial 4x^2 - 25, we can use the Difference of Squares pattern. This pattern applies when we have a binomial in the form of a^2 - b^2, where a and b are terms. In the given expression, 4x^2 - 25, we can see that 4x^2 is the square of 2x and 25 is the square of 5. Therefore, we can rewrite the expression as (2x)^2 - 5^2. Applying the Difference of Squares pattern, we have: 4x^2 - 25 = (2x)^2 - 5^2 = (2x - 5)(2x + 5). So, the factored form of the binomial 4x^2 - 25 is (2x - 5)(2x + 5). By using the Difference of Squares pattern, we were able to factor the binomial into two binomial factors. The pattern states that the difference of two squares can be expressed as the product of two binomials, with one binomial being the sum of the square roots of the terms and the other binomial being the difference of the square roots of the terms.

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Answer:

2 over x plus 10x to the second power

hahahaha

you gon get allll ur already answered questions answered

Answer:

100.7

Step-by-step explanation:

so here we use the sine rule

sinA/a = sinB/b

sin90/x = sin49/76

x= (76×sin90)/sin49

x=100.7

Answer:

its 90,045

Step-by-step explanation:

just use a calculator

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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Answer:

I think it is 72%

Step-by-step explanation:

Answer:

A. 12%

Step-by-step explanation:

I counted the number of dots in all, and the number of dots in the columns 7 - 8.

This means that 3/25 of the students in the class have 7 - 8 people in their houses.

Now let's convert the fraction into a decimal, which we'll then convert into a percent.

Let's multiply the numerator and denominator of 3/25 by 4.

We get 12/100!

12/100 as a decimal is 0.12

0.12 as a percent is 12%

Is there a letter which has 12% as an option? Yes, there is! It's A.

The answer is A. 12%

Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

Answer:it's right there next to the 6.

Step-by-step explanation:

Answer:

I am assuming that is an equilateral triangle; if it is it would be

15

Step-by-step explanation:

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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Answer:

Step-by-step explanation:

I think once I did something like is their life on other planets in our solar system. I started by defining life talking about what life needs, and you get the idea

The probability that an employee of the company is single or has a college degree is 7/5 or 1.4.

The probability that an employee of the company is single or has a college degree can be calculated using the principle of inclusion-exclusion.

From the given information, we know that there are 600 employees in total, 400 of whom have college degrees and 100 of whom are single. We are also given that 60 employees are both single and college graduates.

To find the probability that an employee is single or has a college degree, we can add the probabilities of being single and having a college degree and then subtract the probability of being both single and a college graduate, since we would be counting those employees twice.

Let's denote the event of an employee being single as S, and the event of an employee having a college degree as C. Using these notations, we can calculate the probability as follows:

P(S or C) = P(S) + P(C) - P(S and C)

P(S or C) = 100/600 + 400/600 - 60/600

P(S or C) = 1/6 + 2/3 - 1/10

P(S or C) = 5/10 + 10/10 - 1/10

P(S or C) = 14/10

P(S or C) = 7/5

Therefore, the probability that an employee of the company is single or has a college degree is 7/5 or 1.4.

In other words, there is a 1.4 probability that a randomly selected employee is either single or has a college degree.

To understand the calculation, we can break it down into individual probabilities. Out of the 600 employees, 100 are single, which gives us a probability of 100/600 or 1/6. Additionally, out of the 600 employees, 400 have college degrees, so the probability of having a college degree is 400/600 or 2/3.

However, if we simply add these probabilities, we would be counting the employees who are both single and college graduates twice. To correct this, we need to subtract the probability of being both single and a college graduate. From the given information, we know that there are 60 employees who fall into this category, which gives us a probability of 60/600 or 1/10.

By applying the principle of inclusion-exclusion, we add the probabilities of being single and having a college degree, and then subtract the probability of being both single and a college graduate to obtain the final probability of 7/5 or 1.4.

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Answer:

31

Step-by-step explanation:

-4+16+19=31

Answer:

i don't know why the question want in fraction though

Step-by-step explanation:

\(c + 38 = 113 \\ c = 113 - 38 \\ c = 75\)

Answer: 0.06 which is 6% sales tax

Step-by-step explanation:

Answer:

1.14285714

Step-by-step explanation:

Answer:

Step-by-step explanation:

help

Answer:

Allowance = $24

Cost of book = $4.8

Cost of pen = $7.2

Step-by-step explanation:

\(Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12\)

\(x = \frac{1}{5}x + (\frac{3}{8} \times \frac{4}{5})x +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24\)

\(cost \ of \ book = \frac{1}{5} \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2\)

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

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Step-by-step explanation:

(x_42)(x+42)...

....

Answer: 58

Step-by-step explanation:

65 + 57 = 122

180 - 122 = 58

65 + 57 + 58 = 180

The regression line is the line that minimizes error in predicting scores on the dependent variable.

Regression analysis is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. The regression line is a straight line that best fits the data and is used to make predictions about the dependent variable based on the values of the independent variable(s).

The line is called the regression line because it is used to estimate the regression equation, which represents the relationship between the variables.

The regression line is determined by minimizing the sum of the squared differences between the observed values of the dependent variable and the predicted values of the dependent variable based on the independent variable(s). In other words, the line is chosen to minimize the error in predicting the values of the dependent variable.

This is why the regression line is also known as the line of best fit or the least squares line.

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Answer:

Step-by-step explanation:

Given

  Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

  Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

  In stock are 16 lb of nuts, 10 lb of chocolate

Find

 amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

  4x +4y ≤ 16 . . . lb of nuts

  3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

  50x +40y

The graph shows the feasible region. Its vertices are ...

  (0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

By applying the binomial distribution formula, it can be concluded that the probability that more than 6 will say yes is 0.423 (option B).

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

C(n,r) = n! / (r! (n-r)!) where

n = number of samples

r = number of selected samples

The binomial distribution formula is used to find the probability of the specific outcome in a discrete distribution.

P(X) = C(n,r) * \(p^{r}\) * \(q^{n-r}\) where:

C = combination value

p = probability of success on a single trial

q = probability of failure on a single trial

n = 22

p = 28% = 0.28

q = 1 - 0.28 = 0.72

The probability that r adults will say yes is given by the binomial distribution:

P(X=r) = C(n,r) * \(p^{r}\) * \(q^{n-r}\)

= C(22,r) * \(0.28^{r}\) * \(0.72^{22-r}\)

P(X≤6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

Now we calculate for each probability:

P(X=0) = C(22,0) * 0.28⁰ * 0.98²² = 0.000726633

P(X=1) = C(22,1) * 0.28¹ * 0.98²¹ = 0.00621676

P(X=2) = C(22,2) * 0.28² * 0.98²⁰ = 0.025385

P(X=3) = C(22,3) * 0.28³ * 0.98¹⁹ = 0.0658131

P(X=4) = C(22,4) * 0.28⁴ * 0.98¹⁸ = 0.121571

P(X=5) = C(22,5) * 0.28⁵ * 0.98¹⁷ = 0.1702

P(X=6) = C(22,6) * 0.28⁶ * 0.98¹⁶ = 0.187535

If we sum up the results, we get P(X≤6) = 0.577447493

P(X>6) = 1 - P(X≤6)

           = 1 - 0.577447493

           = 0.422552507

           ≈ 0.423

Thus the probability that more than 6 will say yes is 0.423.

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Answer:

Infinitely many solutions

Answer: I would say 4 centimeters

Step-by-step explanation: Well if 24 divided by 6 equals 4 then I would say 4

Based on the length of the rope and the number of pieces it is to be cut into, the length of each piece will be 25 cm long.

First covert the length of the rope to centimeters:

= 6 x 100

= 600 cm

The length of each piece will be:

= Length of rope / Number of pieces

= 600 / 24

= 25 cm

In conclusion, each piece will be 25 cm long.

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Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The bold dot on the point < 0 symbolizes that x ≤ 0

Since this does not show on the point -4 < 0 it stays as this

-4 < 0 ≤ 0

Purposive sampling is a sampling technique in which the sample is selected based on the researcher's knowledge and judgment of the population. It is a non-probability sampling method that is commonly used in qualitative research, where the researcher wants to investigate specific characteristics or features of a particular population.

When the selection of the place and, consequently, prospective respondents is subjective, rather than objective, it is called purposive sampling.Purposive sampling is a non-probability sampling technique that is used by researchers when they want to investigate specific characteristics or features of a particular population. In this type of sampling, the selection of the sample is based on the researcher's judgment, knowledge, and experience rather than on random selection.

The researcher chooses individuals, groups, or places that are considered to be representative of the population and that are most likely to provide the desired information. This method is often used in qualitative research, where the researcher is interested in gaining in-depth insights into a particular phenomenon, event, or group.

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Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James