Hi :)))))))))))))))))

Answer:

\(\frac{(5+a)}{(a-1)}\)

Choice A

Step-by-step explanation:

\(f\left(x\right)\:=\:\frac{\left(3+x\right)}{\left(x-3\right)}\)

\(x = a + 2\)

Substitute x with a+2

Numerator becomes \(3 + (a+2) = 5+a\)
Denominator becomes \((a+2) - 3 = a+2-3 = a - 1\)

Therefore the fraction becomes \(\frac{(5+a)}{(a-1)}\)

Answer:

yes it is

Step-by-step explanation:

4*10^‒9=0.000000004

i think it is rational number bacause it is terminating decimal.

To determine which station has the greatest number of people arriving per hour, we would need specific data or information about the number of people arriving at each station. Without that information, it is not possible to determine which station has the highest number of arrivals per hour.

If you have access to the data regarding the number of people arriving at each station per hour, please provide that information, and I'll be happy to help you analyze it and identify the station with the highest number of arrivals.

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

e = 10

Step-by-step explanation:

9e +4= -5e + 14+ 13e

combine like terms on left side of the equation : -5e + 13e = 8e

9e + 4 = 8e + 14

subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out

e + 4 = 14

subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10

we're left with e = 10

Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

8 square unit to find the area of the parallelogram with vertices A(-4, 2), B(-2, 5), C(2, 3), and D(0, 0), follow these steps:

Step 1: Find the base and height vectors of the parallelogram. Let's use AB and AD as the base and height vectors, respectively.
AB = B - A = (-2 - (-4), 5 - 2) = (2, 3)
AD = D - A = (0 - (-4), 0 - 2) = (4, -2)

Step 2: Calculate the cross-product of the base and height vectors.
Cross product = AB_x * AD_y - AB_y * AD_x = (2 * -2) - (3 * 4) = -4 - 12 = -16

Step 3: Find the area by taking the absolute value of the cross product divided by 2.
Area = |Cross product| / 2 = |-16| / 2 = 8

The area of the parallelogram with vertices A(-4, 2), B(-2, 5), C(2, 3), and D(0, 0) is 8 square units.

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We have the following system of equations:

Solving by substitution method.

We will first eliminate y to get the value of x.

If we move 6x in equation B to the right hand side, we get

Now, we can substitute this result into equation A. It yields

By clearing parentheses, we get

By combining similar terms. we have

If we move -16 to the right hand side, we obtain

then, our first result is x=0.

Now, by substituting this result into equation C we get

Therefore, the answer is

Given,

Side = 7 cm

We know that,

Volume of a cube = side³

So, volume of Harry's cube

= (7 cm)³

= 343 cm³

Hi, here's a quick explanation;

if the given length is 7, and your object is a cube,

you'd cube 7,

which is =  7³

aka:   7 × 7 × 7

therefore,

Hope this helps you out!!    :D

The probability that a randomly selected registered voter who is a Republican believes that global warming is a serious issue is 0.44 or 44%.

Let A be the event that the selected voter is a Republican, and B be the event that the selected voter believes that global warming is a serious issue.

We need to find P(B|A), the conditional probability of B given A.

Using the information given in the table, we can fill in the following probabilities:

P(A) = 500/1200 = 5/12 (since there are 500 registered voters who are Republicans out of a total of 1200 registered voters)

P(B) = 790/1200 = 79/120 (since there are 790 registered voters who believe that global warming is a serious issue out of a total of 1200 registered voters)

P(A and B) = 220/1200 (since there are 220 registered voters who are Republicans and believe that global warming is a serious issue out of a total of 1200 registered voters)

Then, we can use the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

P(B|A) = (220/1200) / (5/12)

P(B|A) = 0.44

Therefore, the probability is 0.44 or 44%.

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_____The given question is incomplete, the complete question is given below:

what is the probability that a randomly selected registered voter who is a republican believes that global warming is a serious issue?

Opinions on Global Warming Nonissue Serious Concern Total Democratic 50 450 500 Political Party Republican 280 220 500 Independent 80 120 200 Total 410 790 1200

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

\(\boxed{x=\frac{5}{2} }\)

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

2x^2 + 6x = 2x^2 + 15

2x^2-2x^2+6x=15

6x = 15

x= 5/2 when simplified

In order to calculate how many words can you type in 1 minute we you use the rule of 3 to calculate the amount of words as follows:

you can type 600 words in 12 minutes therefore;

if 600 words____________________12 minutes

x_____________________1 minute

Therefore, the calculation would be:

x=words you can type in 1 minute

x=(600 words*1 minute)/12 minutes

x=50

Therefore, you can type a number of 50 words in 1 minute

Answer: 50 words

Step-by-step explanation: 600 divided by 12=50. 50x12=600

Answer: \(Heyaa!\)

Your Answer Is... 2

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

- Matthew ~

The product of these two numbers -

What is a factors in math?

Marie is thinking of a multiple of = 63

Jay is thinking of a factor of = 63

The multiples of 63.

63,126,189,252,315

The factors of 63 = 1,3,7,9,21,63

As we can see, 63 is common, so is -63 if we go to the negative side.

So we multiply 63 and -63 and we get -3969

63 multiplied by -63 is equal to -3969

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Option A is correct answer

Answer:

option A i believe is correct

Step-by-step explanation:

 hope that helps you :)

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

They both include (-8,5)

Step-by-step explanation:

Answer:

2+2 = 4

Step-by-step explanation:

ok so if u put 2 fingers up and you add 2 more, you get 4

bruv

Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.

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Answer:

5

Step-by-step explanation:

Every number from the absolute sign will be positive.

Answer:

225 = (1,3,5,9,15,25,45,75,85,225.)

Step-by-step explanation:

Factors of 225

225 = (1, 3 ,5, 9, 15, 25, 45, 75, 85, 225).

Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

What is a factor?

Factors are the numbers that can divide a number exactly.  Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Some of the important properties of factors of a number are listed below:

Now,

Using multiplication method

We can multiply only odd numbers for 225 because 225 is odd. So,

1*225=225

3*75=225

5*45=225

9*25=225

15*15=225

As multiplication of these numbers is equal to 225

Hence,

            Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

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The given statement "Stack algorithms can never exhibit Belady's anomaly" is True because stack algorithms, including LRU, do not exhibit Belady's anomaly due to their inherent properties that prioritize recently accessed pages and prevent increased page faults when the number of frames is increased.

Belady's anomaly is a phenomenon that occurs in certain page replacement algorithms used in computer systems, where increasing the number of allocated frames for a process can lead to an increase in the number of page faults. This anomaly is usually observed in algorithms like First-In-First-Out (FIFO) and Second Chance.

Stack algorithms, such as the Last-In-First-Out (LIFO) policy and the Least Recently Used (LRU) algorithm, do not exhibit Belady's anomaly due to their properties. In a stack algorithm, the most recently accessed pages are kept close to the top of the stack, while the least recently accessed pages are at the bottom.

The LRU algorithm, in particular, has been proven to be free from Belady's anomaly because it possesses the stack property. When a page is accessed, it is moved to the top of the stack, making it the most recently used page. If a new page needs to be loaded, the LRU algorithm will replace the page at the bottom of the stack, which is the least recently used page. Due to this behavior, adding more frames to the system will not cause an increase in the number of page faults.

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The common factors of 20 and 45 are 1 and 5, since these are the only factors that both numbers share.

To find the common factors of two numbers, we need to find the factors of each number and then identify the ones that they have in common. For example, if we want to find the common factors of 20 and 45, we first find the factors of 20 and 45:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factor 1 is always a common factor of any two numbers, since every number is divisible by 1. The factor 5 is a common factor of 20 and 45 because both 20 and 45 are divisible by 5. It is important to note that the other factors of 20 and 45 are not common factors, since they are not shared by both numbers.

Therefore, the common factors of 20 and 45 are 1 and 5, since these are the only factors that both numbers share.

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Answer:

y = -11x + 9

Step-by-step explanation:

m = -11

x = -1

y = 20

Plug those values into the equation to find b: y = mx + b

20 = (-11)(-1) + b

---> b = 9

Plus m = -11 and b = 9 into y = mx + b

---> y = -11x + 9

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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Answer: (0,1)   (-3,0)

Step-by-step explanation:

\(\displaystyle\\y=\frac{1}{3}x+1 \\\\1)\ x=0\\\\\Rightarrow\ \ \ \ y=\frac{1}{3}(0)+1\\\\ y=0+1\\\\y=1\\Thus,\ (0,1)\\\\2)\ y=0\\\\0=\frac{1}{3}x+1\)

Multiply both parts of the equation by 3:

\(0=x+3\\0-3=x+3-3\\-3=x\\Hence,\\x=-3\\Thus,\ (-3,0)\)

Answer:

320 :)

Step-by-step explanation:

(30+2)10 = 320 hope this helps

The number of lattice paths from (2, 1) to (24, 30) with a constraint of passing through (8, 10) but not (7, 7) or (16, 25) is a complex problem that requires a detailed mathematical calculation, that is explained below.

Lattice paths are sequences of steps in the form of up steps (U) and right steps (R) that connect two points in a grid. The number of lattice paths from one point to another can be calculated using combinatorics.

To determine the number of lattice paths from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25), we need to calculate the total number of paths and subtract the number of paths that pass through the restricted points.

Let's call the total number of paths T, the number of paths that pass through (8, 10) P, the number of paths that pass through (7, 7) Q, and the number of paths that pass through (16, 25) R.

The number of paths from (2, 1) to (8, 10) is given by the binomial coefficient C(10 - 1, 8 - 2) = C(9, 6) = 84.

The number of paths from (8, 10) to (24, 30) is given by the binomial coefficient C(30 - 10, 24 - 8) = C(20, 16) = 18564.

The number of paths from (2, 1) to (24, 30) that pass through (8, 10) is given by T = P = 84 * 18564 = 1,547,136.

Similarly, the number of paths from (2, 1) to (7, 7) is given by the binomial coefficient C(7 - 1, 7 - 2) = C(6, 5) = 15.

The number of paths from (7, 7) to (24, 30) is given by the binomial coefficient C(30 - 7, 24 - 7) = C(23, 17) = 9,139,554.

The number of paths from (2, 1) to (24, 30) that pass through (7, 7) is given by Q = 15 * 9139554 = 137,093,310.

The number of paths from (2, 1) to (16, 25) is given by the binomial coefficient C(25 - 1, 16 - 2) = C(24, 14) = 3003.

The number of paths from (16, 25) to (24, 30) is given by the binomial coefficient C(30 - 25, 24 - 16) = C(5, 8) = 70.

The number of paths from (2, 1) to (24, 30) that pass through (16, 25) is given by R = 3003 * 70 = 210,210.

Finally, the number of paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is T - P - Q - R = 1547136 - 137,093,310 - 210,210 = -135,599,384.

The number of lattice paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is zero, as the result is negative.

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