Which is a rational function?
A. Y=x-5/2
B. y=x^2-x+ 4
c. y=2^x
D. y=x-3/x^2

Answer:\(2x^{3} mr^{2}\)

Step-by-step explanation:

2 * xxx * m * rr

2 \(x^{3}\) m \(r^{2}\)

This is because \(x^{3}\) is the same as multiplying x by its self, three times. The same goes for variables m and r.

Answer:

1:7 , 2:14, 4:28, 8:56

Step-by-step explanation:

Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)

HOPE THIS HELPS!!!

The number of students actually enrolled is 6000.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a large university accepts 50​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,000.

The number of students will be calculated as:-

Number = ( 30000 x 0.5 x 0. 4 )

Number = 6000

Therefore, the number of students will be 6000.

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The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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D, divide and figure out how much the picture is increasing lengthwise and use that to find the wideness

The dimension of the enlarge picture will be 150 inches (3.81 meters) wide and 180 inches (4.57 meters) long. Then the correct option is D.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

A photograph measures 5 inches (0.13 meters) wide and 6 inches (0.15 meters) long.

The picture is enlarged to fit on a wall.

If the new larger picture is 150 inches (3.81 meters) wide.

Then the scale factor of the enlargement will be

Scale factor = 150 / 5

Scale factor = 30

Then the length of the picture will be

The length of the picture is given by the product of the scale factor and original length.

Length = 30 x 6

Length = 180 inches (4.57 meters)

Then the dimension of the enlarge picture will be 150 inches (3.81 meters) wide and 180 inches (4.57 meters) long.

Then the correct option is D.

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Solution,

4(2n-3)

=4*2n-4*3

=8n-12

hope it helps

Good luck on your assignment

Answer:

\(= 8n - 12 \\ \)

Step-by-step explanation:

\(4(2n - 3) \\ 4 \times 2n - 4 \times 3 \\ = 8n - 12\)

hope this helps

brainliest appreciate

good luck! have a nice day!

Answer:

?

Step-by-step explanation:

increasing the sample size of an opinion poll will lead to (b) variability of the estimates made from the data collected in the poll.

An opinion poll is a human research survey of the public's opinion from a specific sample. It is frequently referred to as just a survey or a poll, even though strictly speaking an election is a poll. To assess the sentiments and beliefs of the entire population, interviews or surveys with representative samples of citizens are utilised. Students can participate actively in discussions using almost any device with well-designed polls. Each poll must be adjusted separately, and many features that teachers might find helpful demand a subscription package. A greater sample size yields more data on the population and, thus, more accurate population estimates. Better population estimates will also let us know that there is less fluctuation.

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15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

Answer:

he read 11

Step-by-step explanation:

Answer:

C. 28.26

May I have brainliest please? :)

To determine the number of ways the gift cards can be awarded, we can use the concept of combinations.  The number of ways the three $50 gift cards can be awarded among the 9 participants in the raffle can be calculated using combinations.

To determine the number of ways the gift cards can be awarded, we can use the concept of combinations. In this case, we want to choose 3 participants out of the 9 to receive the gift cards. The order in which the participants are chosen does not matter.

The formula for combinations is given by:

nCr = n! / (r!(n-r)!)

Where n represents the total number of participants and r represents the number of participants being chosen.

Applying this formula, we can calculate the number of ways the gift cards can be awarded:

9C3 = 9! / (3!(9-3)!)

= 9! / (3!6!)

= (9 * 8 * 7) / (3 * 2 * 1)

= 84

Therefore, there are 84 different ways the three $50 gift cards can be awarded among the 9 participants in the raffle.

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Answer:

7,111.04

Step-by-step explanation:

222.22x32= 7,111.04

Answer:

2880

Step-by-step explanation:

volume formula: l×w×h

multiply all and you get 2880

Answer:

The answer is 20 feet and/or 34560 inches

Centering x values before squaring eliminates the correlation between x and its square term, reducing multicollinearity. This helps to determine independent effects of predictor variables, and can also straighten the curve of a scatterplot.

Centering the x values before squaring is important because it helps to eliminate the correlation between the x variable and its square term. When we square a variable without centering it, we are essentially capturing the effect of both the linear and the quadratic terms.

This can lead to multicollinearity, which occurs when two or more predictor variables are highly correlated with each other.

Multicollinearity can create problems in statistical analyses because it can make it difficult to determine the independent effects of each predictor variable on the outcome variable. Centering the x values before squaring helps to reduce the effects of multicollinearity by eliminating the correlation between the x variable and its square term.

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The probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

b) To find the probability that exactly 4 children would draw the nickel too small, we can use the binomial probability formula. The formula is: P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, n = 8 (as 8 children are chosen), k = 4 (as exactly 4 children drawing the nickel too small), p = 0.15 (as the probability of a child drawing the nickel too small), and q = 1 - p = 1 - 0.15 = 0.85.

So, the probability that exactly 4 children would draw the nickel too small is: P(X = 4) = (8C4) * (0.15^4) * (0.85^(8-4)).

c) To find the probability that at least one child would draw the nickel too small, we can use the complement rule. The probability of at least one success is equal to 1 minus the probability of no success.

The probability of no success (all children drawing the nickel of the right size) is given by: P(X = 0) = (8C0) * (0.15^0) * (0.85^8).

Therefore, the probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

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Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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left question is 19 right question is 8

The labor quantity variance of Clark Company is $1800 U (Unfavorable). Option b is correct.

Compare the actual labor hours used with the standard labor hours allowed and multiply the difference by the standard labor rate.

Standard labor hours allowed = Standard hours per unit × Number of units produced

Standard labor hours allowed = 2 hours × 1200 units = 2400 hours

Actual labor hours used = 2500 hours

Labor quantity variance = (Actual labor hours used - Standard labor hours allowed) * Standard labor rate

Labor quantity variance = (2500 hours - 2400 hours) × $18 per hour

Labor quantity variance = 100 hours × $18 per hour

Labor quantity variance = $1800

Since the actual labor hours used exceeded the standard labor hours allowed, the labor quantity variance is unfavorable. Therefore, the labor quantity variance is $1800 U (Unfavorable).

Option b is correct.

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Based on the information in the graph, it can be inferred that team B scores 4 more goals per game.

To compare the populations using measures of center and median we must carry out the following procedure:

Team A

Median = 3

Q₁ = 2

Q₃ = 4

IQR = Q₃ - Q₁ = 4 - 2 = 2

Team B

Median = 7

Q₁ = 6

Q₃ = 8

IQR = Q₃ - Q₁ = 8 - 6 = 2

According to the information above, the variation in goals scored is the same. However, team B usually scores 4 more goals than team A for each game.

Additionally, the difference in the mean of these two values is 2.

Note: This question is incomplete. Here is the complete information:

Attached image

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Answer:

Statement (b) is equivalent to statement (c), but neither is equivalent to statement (a).

Step-by-step explanation:

Let \(F\) denote that "Fido is our fish's name" and let \(R\) denote that "Rex is our dog's name". The statements listed in this question would then become:

Apply de Morgan's Law \(\lnot (P \land Q) \iff (\lnot P) \lor (\lnot Q)\) to rewrite statement (b). Let \(P = (\lnot F)\) and \(Q = (\lnot R)\). By de Morgan's Law:

\(\begin{aligned} & \lnot ((\lnot F) \land (\lnot R)) \\ \iff \; & \lnot (P \land Q)\\ \iff \; & (\lnot P) \lor (\lnot Q) && (\text{by de Morgan's Law}) \\ \iff \; & (\lnot (\lnot F)) \lor (\lnot (\lnot R)) \\ \iff \; & F \lor R\end{aligned}\).

In other words, statement (b) \(\lnot ((\lnot F) \land (\lnot R))\) is equivalent to statement (c) \(F \lor R\).

Statement (a) \(F \implies R\) isn't equivalent to \(F \lor R\).

For example, when \(F = \texttt{True}\) and \(R = \texttt{False}\), \(F \implies R\) would be false since \(\texttt{True}\) does not imply \(\texttt{False}\). However, for the same \(F\) and \(R\), \(F \lor R\) would be true since \(F = \texttt{True}\!\).

Answer:

A

Step-by-step explanation:

Number of lunches, and the cost both still need to go up.

Tbh this one just seemed right!

Hope this was right! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

Answer:

it is 7200 Liters

Step-by-step explanation:

Brainliest?

If a random sample of individuals are polled in a phone survey and asked how happy they are with their life, selection bias would be introduced.

This is because the sample is limited to individuals who have access to phones and are willing to participate in the survey, which may not accurately represent the entire population. Additionally, the question itself may introduce response bias if it is worded in a way that encourages respondents to give a certain answer. The type of bias that would be introduced if a random sample of individuals are polled in a phone survey and asked how happy they are with their life is called "response bias." This occurs because individuals might not provide accurate answers due to factors like social desirability, personal preferences, or misinterpretation of the question, leading to a skewed representation of the true feelings of the population.

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The enclosure can be as large as 606 m2 in total.

Given that,

Let x be length of y be width of enclosure

fencing material cost $ 30 / m

Partition material cost $25/m

Total cost = (x+x+y+y)x 30+(y + y) x 25

c= 60(x+y) + 50y = 60 x + 110 y

4000 = 60 x + 110y

y = ( 400 - 6x / 11)

Now,Area of enclosure = x*y

A = x*(400 - 6x / 11)

A'(x)= 400-12x/11

for maximum area A'(x) = 0

400 - 12x/11 = 0,12x = 400,x = 100/3

A " ( x) = - 12/11 < 0  i.e., maximum

y = 400 - 6( 400/12 ) = 200/11 m

Maximum area = xy = 100/3 * 200/11 = 20000/33

                                                            =606.0606

A max = 606m²

Hence, the maximum area you can achieve for the enclosure is 606m²

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Given, the equation r(t) = (t + 8) i + (t² - 8) j + (2t)

k represents the position of a particle in space at time t.

We need to find the particle's velocity and acceleration vectors.To find the velocity of the particle, we differentiate the given equation with respect to time t as shown below:

v(t) = dr(t) / dt

⇒ v(t) = (1 i + 2t j + 2 k)

For the acceleration of the particle, we differentiate the velocity equation with respect to time t as shown below:

a(t) = dv(t) / dt

⇒ a(t) = 2 j

We can write the velocity of the particle at t = 1 as follows:

v(1) = (1 i + 2 j + 2 k)

Putting t = 1 in the velocity vector, we have:

v(1) = (1 i + 2 j + 2 k)

= √(1² + 2² + 2²) × [i/√5 + 2j/√5 + 2k/√5]

= √9 × u

We can observe that the velocity vector is in the direction of [i/√5 + 2j/√5 + 2k/√5] and its magnitude is √9 = 3 units. Therefore, the velocity vector can be written as a product of its speed and direction as follows:

v(1) = 3[i/√5 + 2j/√5 + 2k/√5]

The velocity vector is given by:

v(t) = (1 i + 2t j + 2 k)

The acceleration vector is given by:

a(t) = 2 j

Therefore, the velocity vector at t = 1 as a product of the speed and direction is:

v(1) = 3[i/√5 + 2j/√5 + 2k/√5]

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Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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Answer:

Step-by-step explanation:

-y = -2x - 3

y = 2x + 3

m = 2

b = 3

y - int: (0,3)