Solve.

25 ‒ (‒ 42) =

A.
67
B.
17
C.
‒17
D.
‒67

Answer:

457367

Step-by-step explanation:

Answer:

98

You have to use prime factor decompisition. I hope this helps

Answer:

it is either 98 or -98

Step-by-step explanation:

Given the number 9604

Taking the square root

=> \(\sqrt{9604}\)

=> ±98

So, it is either 98 or -98

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The margin of error for the 95% confidence interval used to estimate the population proportion, given n = 186 and x = 103, is approximately 0.0643 (option b).

To find the margin of error for a confidence interval, we use the formula:

Margin of Error = \(Z * \sqrt{((p-hat * (1 - p-hat)) / n)}\),

where Z represents the z-score corresponding to the desired confidence level, p-hat is the sample proportion, and n is the sample size.

In this case, the sample size is n = 186 and the sample proportion is p-hat = x/n = 103/186.

First, we need to find the z-score corresponding to a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Substituting the values into the formula, we have:

Margin of Error = \(1.96 * \sqrt{ ((103/186 * (1 - 103/186)) / 186)}\) ≈ 0.0643.

Therefore, the margin of error for the 95% confidence interval is approximately 0.0643 (option b).

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The two column proof showing that m∠AKG = m∠HKB is as below and explained.

A two-column proof is defined as a geometric proof consists of a list of statements, and the reasons that we know those statements are true.

The two column proof showing the vertical angles are explained below.

Statement 1: Segment GH Intersects Segment AB at K

Reason 1: Given

Statement 2: m∠AKG + m∠GKB = 180°

m∠GKB + m∠HKB = 180°

Reason 2:  Definition of supplementary angles

Statement 3: m∠AKG + m∠GKB = m∠GKB + m∠HKB

Reason 3: Substitution property

Statement 4: m∠AKG = m∠HKB

Reason 4: Subtraction property

Now, supplementary angles are defined as angles that sum up to 180 degrees and that is why m∠AKG + m∠GKB = 180° and m∠GKB + m∠HKB = 180°

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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).

Answer:

big deal with it is so beautiful I don't think so much more then we have been so long q and I don't think so much for your eyes and hindi movie with me and my family is not going anywhere else is not good for you think about it is so beautiful much as you can do it is not going anywhere I don't think so beautiful I was in my way I was a good day and night and night w w what we were with a week or so I can get you

Step-by-step explanation:

skyline of the day is not even w my phone is a great time with we we are not a good day and night and we will be on your face and we were with what w my heart is not going to be a good day for you think about what they do not have to do is not going to be in the world up to be a good day for me to be area and and and and and and and and and and and I am a very happy birthday party and hindi movie and hindi song I am not going anywhere else to get

1 cubic foot of air at standard temperature and pressure assuming average composition weighs approximately 0.0807 lbs. This one doesn't have an answer that is exact or necessarily correct as air is a composite mixture of various gases and this mixture can change due to an enormous quantity of variables.

Answer:

Well it depends on how much air

Step-by-step explanation:

All the air we have in our atmosphere combined is about 5 million billion tons

Answer:

this is what i got for it, lmk if its right

Step-by-step explanation:

The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) =  x

In this question,

we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²

We need to simplify given complex fraction.

First we simplify numerator.

1/x y - 1/y²

= y² - xy / xy³

= y(y - x) / xy³

= y - x / xy²

Now we simplify denominator.

1/x²y - 1/x y²

= xy² - x²y / x³y³

= xy(y - x) / x³y³

= y - x / x²y²

So given fraction would be,

1/x y - 1/y² / 1/x²y - 1/x y²

= y - x / xy² / y - x / x²y²

= (y - x / xy²) × (x²y² / y - x )

= x²y² / xy²

= x

Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x

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The probability that at least one customer arrives in a particular one-minute period is approximately 0.393, rounded to three decimal places.

To find the probability that at least one customer arrives in a particular one-minute period, we can use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence.

In this case, we are given that the average number of customers per hour is 30. To convert this to the average number of customers per minute, we divide by 60 since there are 60 minutes in an hour. Therefore, the average number of customers per minute is 30/60 = 0.5.

The probability of no customers arriving in a particular one-minute period can be calculated using the Poisson distribution formula:

P(X = 0) = (e^(-λ) * λ^0) / 0!

Where λ is the average number of customers per minute.

Let's calculate the probability of no customers arriving in one minute:

P(X = 0) = (e^(-0.5) * 0.5^0) / 0!

= (e^(-0.5) * 1) / 1

= e^(-0.5)

Now, to find the probability that at least one customer arrives in one minute, we can subtract the probability of no customers from 1:

P(at least one customer) = 1 - P(X = 0)

= 1 - e^(-0.5)

Using a calculator, we can evaluate this expression to three decimal places:

P(at least one customer) ≈ 1 - e^(-0.5) ≈ 0.393

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Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

Answer:

B) 20x + 50

Step-by-step explanation:

5(3x + 10) + 5x

open the parenthesis

5*3x + 5*10 + 5x

15x + 50 + 5x

combine like terms

15 + 5 = 20

20x + 50

Answer:

180

Step-by-step explanation:

Answer:

lol r u in the geometry summer school

The project has a Budget at Completion (BAC) of $10,000, a Budgeted Cost of Work Scheduled (BCWS) of $12,000, and a Budgeted Cost of Work Performed (BCWP) of $4,000.

The information provided seems to be related to project management and uses the Earned Value Management (EVM) technique. EVM is a project control technique that integrates scope, schedule, and cost to measure project performance and progress. Let's analyze the given data:

BAC = Budget at Completion = $10,000

BCWS = Budgeted Cost of Work Scheduled = $12,000

BCWP = Budgeted Cost of Work Performed = $4,000

In EVM, these values represent the planned and actual costs of the work performed on the project. Here's a breakdown of the terms:

BAC (Budget at Completion) represents the total budgeted cost for completing the project. In this case, it is $10,000.

BCWS (Budgeted Cost of Work Scheduled) represents the budgeted cost for the work scheduled or planned to be performed. It indicates the planned value of the work at a specific point in time. In this case, it is $12,000. This suggests that the project has been delayed or additional work has been added, resulting in a higher planned cost compared to the original budget.

BCWP (Budgeted Cost of Work Performed) represents the budgeted cost for the work that has actually been performed or completed. It indicates the earned value of the work at a specific point in time. In this case, it is $4,000. This suggests that only a portion of the planned work has been completed, resulting in a lower actual cost compared to the planned cost.

Based on the given information, the project is behind schedule and has completed only a portion of the planned work. The BCWP of $4,000 is lower than both the BCWS of $12,000 and the BAC of $10,000, indicating that the project is not on track in terms of cost and progress.

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6, 7) and (6,-5)

The midpoint is

\(M = ( \frac{6 + 6}{2} \: , \: \frac{7 - 5}{2} ) \\ = ( \frac{12}{2} \: , \: \frac{2}{2} )\)

We have the final answer as

Hope this helps you

Among the given points, only the point (-2.5, 4) lies in the solution set of the equation (x - 2)²/25 + (y - 3)²/4 < 1. (option c)

To determine which point lies in the solution set, we need to substitute the coordinates of each point into the equation and check if the inequality holds true.

a) (4, –0.5):

Substituting the coordinates (4, -0.5) into the equation, we get:

(4 - 2)²/25 + (-0.5 - 3)²/4

= 2²/25 + (-0.5 - 3)²/4

= 4/25 + (-3.5)²/4

= 4/25 + 12.25/4

= 0.16 + 3.0625

= 3.2225

Since 3.2225 is not less than 1, the point (4, -0.5) does not lie in the solution set.

b) (3, –2.5):

Substituting the coordinates (3, -2.5) into the equation, we get:

(3 - 2)²/25 + (-2.5 - 3)²/4

= 1²/25 + (-5.5)²/4

= 1/25 + 30.25/4

= 0.04 + 7.5625

= 7.6025

Again, 7.6025 is not less than 1, so the point (3, -2.5) does not lie in the solution set.

c) (–2.5, 4):

Substituting the coordinates (-2.5, 4) into the equation, we get:

((-2.5) - 2)²/25 + (4 - 3)²/4

= (-4.5)²/25 + 1²/4

= 20.25/25 + 1/4

= 0.81 + 0.25

= 1.06

Since 1.06 is less than 1, the point (-2.5, 4) lies in the solution set.

d) (–4.5, –3):

Substituting the coordinates (-4.5, -3) into the equation, we get:

((-4.5) - 2)²/25 + (-3 - 3)²/4

= (-6.5)²/25 + (-6)²/4

= 42.25/25 + 36/4

= 1.69 + 9

= 10.69

Like the previous points, 10.69 is not less than 1, so the point (-4.5, -3) does not lie in the solution set.

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Complete Question:

Given equation

(x - 2)²/25 + (y - 3)²/4 < 1,

Which point lies in the solution set?

a) (4, –0.5)

b) (3, –2.5)

c) (–2.5, 4)

d) (–4.5, –3)

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

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The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.

In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).

The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.

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Answer:

1,3,4 and 7 are all correct

Answer:

A = (-1, 0)

B = (0, -1)

C = (0, -2)

Explanation:

Coordinates of A

To determine the coordinates of A set any of the equations to zero.

\(\sf \rightarrow -\dfrac{2}{x} -2 = 0\)

\(\sf \rightarrow -\dfrac{2}{x} = 2\)

\(\sf \rightarrow -2 = 2x\)

\(\sf \rightarrow x = -1\)

As the point lies on the x axis, y = 0.

So A coordinates: (-1, 0)

Coordinates of B

To find the coordinates of B set x = 0 in the equation f(x) = (1/2)^x - 2

\(\sf \rightarrow y = (\dfrac{1}{2} )^x - 2\)

\(\sf \rightarrow y = (\dfrac{1}{2} )^0 - 2\)

\(\sf \rightarrow y = 1 - 2\)

\(\sf \rightarrow y = -1\)

As the point lies on the y axis, x = 0.

So B coordinates: (0, -1)

Coordinates of C

To find the coordinates of C insert any high limit value in both eq.

\(\sf \rightarrow y = (\dfrac{1}{2} )^{10000} - 2=-2\)

\(\sf \rightarrow y = -\dfrac{2}{10000} -2 = -2.0002\)

So estimated that y = -2 and x = 0 as lies on y axis.

So C coordinates: (0, -2)

Answer:

That should equal 725.3125.

Answer:  \(x^3-x^2\)

This is the same as writing x^3-x^2

==============================================

Explanation:

We divide the two given polynomials. We can apply synthetic division.

The numerator polynomial is \(x^4+3x^3-4x^2\) which is the same as \(1x^4+3x^3-4x^2+0x+0\)

The sequence of coefficients are: {1,3,-4,0,0}. Those coefficients will be used to set up the synthetic division table in the top row.

The denominator polynomial x+4 means -4 is the test root since it's the solution to x+4 = 0. This -4 goes to the upper left corner.

Check out the diagram below.

The yellow cell in the bottom row represents the remainder. Everything else in the bottom row are coefficients to the quotient polynomial. The coefficients {1,-1,0,0} means we get \(1x^3-1x^2+0x+0\) which simplifies to \(x^3-x^2\) and that's the final answer.

-------------------

Let's check the answer. Multiplying \((x+4)\) with \((x^3-x^2)\) should get us \(x^4+3x^3-4x^2\)

Let's see if that happens.

\((x+4)(x^3-x^2)\\\\y(x^3-x^2) \ \text{ ... where } y = x+4\\\\x^3*y-x^2*y\\\\x^3*(x+4)-x^2*(x+4)\\\\x^3*x+x^3*4-x^2*x-x^2*4\\\\x^4+4x^3-x^3-4x^2\\\\x^4+3x^3-4x^2\\\\\)

We get the proper product we're after, so the answer is confirmed.

Basically we were given expressions for A and B and computed C = A/B to get the final answer C. This check section is us computing A = BC to confirm the answer.

\(\longrightarrow{\green{F=5000 \: N}}

\)

Answer: We can use a one-sample t-test to determine whether the sample mean pulse rate of 67.7 bpm is significantly different from the hypothesized population mean of 69 bpm. The test statistic can be calculated as:

t = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we get:

t = (67.7 - 69) / (10.6 / sqrt(165))

t = -1.3 / 0.823

t ≈ -1.58

Therefore, the value of the test statistic is -1.58.

The false statement will be g || h since, Line H can not be parallel to , line G or line F.

This is further explained below.

Line B ║ Line F

Line G ║ Line F

In most cases, two lines that are parallel to one another will also be parallel to one another.

Line G ║ Line F ║Line B

In conclusion, If there is more than one line that is parallel to another in a plane, and another line in the plane is perpendicular to one of the parallel lines, then that other line is perpendicular to all of the parallel lines.

Hence

Neither line G nor line F may be parallel to line H. Option D

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Answer:

Tax amount = $15.00 x 0.06 =0.9

Total amount of the basketball = $15.00 x 1.06 = $15.90

Answer:

Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Answer:

5 and - 2.5

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

- 40 ÷ 80 = 20 ÷ - 40 = - 10 ÷ 20 = - 0.5

This indicates that the sequence is geometric.

To find the next term in the sequence multiply the previous term by the common ratio, thus

- 10 × - 0.5 = 5

5 × - 0.5 = - 2.5