Shonda wants to rewrite 24+924+9using the greatest common factor and the distributive property.Complete the statements below.CLEAR CHECKThe greatest common factor of 2424and 99is .Shonda can use the greatest common factor to rewrite 24+924+9as (8+(8+)).

Answer:

Number of pizza deliver on Saturday = 14 pizza

Step-by-step explanation:

Given:

Number of delivery day (Friday, Saturday) = 2

Number of pizza deliver on Friday = 8

Average of delivery (Mean) = 11 pizza

Find:

Number of pizza deliver on Saturday

Computation:

Mean = Sum of pizza / Number of delivery day

11 = [8 + Number of pizza deliver on Saturday] / 2

22 = 8 + Number of pizza deliver on Saturday

Number of pizza deliver on Saturday = 22 - 8

Number of pizza deliver on Saturday = 14 pizza

In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

The graph shows that the function has a decreasing end behavior without bound.

This means that as x increases, f(x) decreases indefinitely. The arrow on the graph indicates this trend, as the function extends without limit.

The graph clearly illustrates that as x increases, f(x) approaches the x-axis. Therefore, it can be concluded that the function approaches negative infinity as x approaches infinity.

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The slack for the activity that we have here is given to be 0

This is the term that is used to solve for the difference that exists between the earliest start time and the latest finishing time.

The value of the slack is given as LS - ES

In the question, the value for LS = 8, while the value for ES IS EQUAL TO 8 hence we have

8 - 8 = 0

Therefore we conclude that the The slack for the activity that we have here is given to be 0

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1) It is true that through 3 points there is exactly one plane.

2) The two possible coordinates of the other point are -40 and 12.

3) The numbers cannot form a triangle.

The general format of the equation of a plane is given as follows:

ax + by + cz + d = 0.

One point has the coordinates (x,y,z), meaning that only one point will solve the equation above, meaning that trough three points there will be exactly one plane.

If the second coordinate is 26 units left of -14, it is given as follows:

-14 - 26 = -40.

If the second coordinate is 26 units right of -14, it is given as follows:

-14 + 26 = 12.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The sum of the two smaller measurements for item 3 is given as follows:

18.3 + 29.1 = 47.4.

47.4 is less than 49, hence these dimensions cannot form a triangle.

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Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula =

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance =

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concepts

Thank you!!

The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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Answer:

27, correct me if im wrong

Step-by-step explanation:

Answer:

35/7 = 5

5*5 = 25

25+2 = 27

Step-by-step explanation:

Answer:its 3

Step-by-step explanation: thx for da points

Answer:

33.60

Step-by-step explanation:

Multiply 28 by 20%

28*20%=5.6

Add 5.6 and 28 together

28+5.6=33.60

Sorry if it is wrong Im still really tired

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The value of x for the given pentagon will be 125 degrees.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Given the values exterior angles of the pentagon such that, 70°, 60°, 65°, 40°, x°.

To calculate the value of x.

Since the Sum of all exterior angles of a pentagon is 360°,

Thus,

70 + 60 + 65 + 40 +x = 360

x + 235 = 360

x = 360 - 235

x = 125°

Therefore, the value of x for the given pentagon will be 125 degrees.

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Answer: 3.11*10^7/7.69*10^6

3110/769

4.04

Step-by-step explanation:

Answer:

question three 8488

question four 288

Step-by-step explanation:

Answer:

3. 8448

4. 288

Step-by-step explanation:

Answer:

the answer is (3, -1)

Step-by-step explanation: Ap3X

Answer:

Give the full question, then I might be able to solve it.

Answer:

2/12 of the pizza is left.

Step-by-step explanation:

7/12 plus 3/12 is 10/12, then minus that from 12/12 and you get 2/12.

Answer:

620

Explanation:

When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

Calculation of the number of elk:

Since the population is 7,750.

The random sample is 50.

So here be like

= 620

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Answer:

a.  f+g = -3x+5 + x^2

b.  f-g =  -3x+5 - x^2

Step-by-step explanation:

g(x) = x^2

I'll assume the other two equations were meant to be:

f(x) = -3x+5, and h(x) = -4x-2

a.  f+g = -3x+5 + x^2

b.  f-g =  -3x+5 - x^2

The five things when two parallel lines are cut by a transversal are the corresponding angle, alternate interior angle, alternate exterior angle, consecutive interior angles, and alternate angle.

Here we have to find the five things that happen when two parallel lines are cut by a transversal.

When two parallel lines are cut by the transversal line it will form five angles.

Corresponding angle, alternate interior angle, alternate exterior angle, consecutive interior angles, and alternate angle.

From the given figure:

Corresponding angle:

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

consecutive angle:

∠3 and ∠6

∠4 and ∠5

alternate interior angle:

∠3 and ∠5

∠4 and ∠6

alternate exterior angle:

∠2 and ∠8

∠1 and ∠7

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Answer:0.105

Step-by-step explanation:

84-76=8

8/76=0.105

To maximize utility U = ab, we need to find the combination of A and B that will give us the highest possible value for U.

Let's start by setting up the equation for the budget constraint:

8A + 1B = 64

Now, we can solve for B in terms of A:

B = 64 - 8A

Substituting this into the utility function, we get:

U = A(64 - 8A)

Simplifying, we get:

U = 64A - 8A^2

To find the maximum value of U, we can take the derivative of U with respect to A and set it equal to 0:

dU/dA = 64 - 16A = 0

Solving for A, we get:

A = 4

Substituting this back into the budget constraint, we get:

8(4) + 1B = 64

B = 16

So to maximize utility, we should buy 4 units of A and 16 units of B.

To minimize utility, we need to find the combination of A and B that will give us the lowest possible value for U.

Since U = ab, the minimum value of U will occur when one of the variables is 0.

If we buy 0 units of A, then we can buy the maximum number of units of B:

8(0) + 1B = 64

B = 64

So to minimize utility, we should buy 0 units of A and 64 units of B.

Note that this combination will give us a utility of 0, since U = ab and one of the variables is 0.

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To maximize and minimize the utility function U = ab, given the prices of A ($8 per unit) and B ($1 per unit) and a budget of $64, we need to find the optimal number of units of A and B to purchase.

Let's denote the number of units of A as x and the number of units of B as y. The budget constraint is 8x + y = 64.

Step 1: Solve for y in the budget constraint: y = 64 - 8x.

Step 2: Substitute y in the utility function: U = x(64 - 8x) = 64x - 8x^2.

Step 3: To find the maximum and minimum utility, differentiate U with respect to x and set the derivative to zero: dU/dx = 64 - 16x. Then, solve for x: 64 - 16x = 0 -> x = 4.

Step 4: Plug x = 4 back into the equation for y: y = 64 - 8(4) = 32.

To maximize utility, you should buy 4 units of A and 32 units of B, as this combination will yield the highest value for the utility function U = ab. The maximum utility is U = 4 * 32 = 128.

To minimize utility, you can either buy all units of A or all units of B. Buying all units of A (8 units, since 8 * $8 = $64) will give U = 8 * 0 = 0, and buying all units of B (64 units, since 64 * $1 = $64) will give U = 0 * 64 = 0. In both cases, the utility is minimized at U = 0.

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The rate of flour to the other substance is 6 cups of flour for every 1 cup of the other substance, which was obtained by using the concept of reciprocal to convert the ratio to a common unit of measurement.

The problem provides us with the information that 2 cups of flour are required for every 1/3 cup of another substance. To determine the rate of flour to the other substance, we need to convert the ratio to a common unit of measurement. In this case, we can use cups as the unit of measurement.

The given information implies a ratio of 2 cups of flour to 1/3 cup of something else, which can be simplified to:

2 cups / (1/3) cup

To divide by a fraction, we can multiply by its reciprocal:

2 cups / (1/3) cup = 2 cups * (3/1) cup = 6 cups

Therefore, the rate is 6 cups of flour for every 1 cup of the other substance.

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The 90% confidence interval for the difference in proportions of patients needing pain medication between the old and new procedures is  −0.031 < P1 − P2 < 0.257 and The confidence interval contradicts the claim. Because the confidence interval includes values both above and below zero, it means that the claim that the proportion of patients needing pain medication is the same for both procedures (P1 = P2) is not supported by the data.

To construct a confidence interval for the difference in proportions of patients needing pain medication between the old and new procedures, we can use the following formula:

CI = (P1 - P2) ± (Z * √[(P1 * (1 - P1) / n1) + (P2 * (1 - P2) / n2)])

P1 is the proportion of patients needing pain medication in the old procedure group.

P2 is the proportion of patients needing pain medication in the new procedure group.

n1 is the sample size of the old procedure group.

n2 is the sample size of the new procedure group.

Z is the critical value corresponding to the desired confidence level.

(a) For a 90% confidence level, the critical value Z is approximately 1.645.

For the old procedure group: n1 = 57, P1 = 19/57 = 0.333 (rounded to three decimal places).

For the new procedure group: n2 = 82, P2 = 18/82 = 0.220 (rounded to three decimal places).

Plugging in the values, we can calculate the confidence interval:

CI = (0.333 - 0.220) ± (1.645 * √[(0.333 * (1 - 0.333) / 57) + (0.220 * (1 - 0.220) / 82)])

CI = (0.113) ± (1.645 * √[0.004653 + 0.002993])

CI = (0.113) ± (1.645 * √0.007646)

CI = (0.113) ± (1.645 * 0.087508)

CI ≈ (0.113) ± (0.144)

CI ≈ (−0.031, 0.257)

Therefore, the 90% confidence interval for the difference in proportions of patients needing pain medication between the old and new procedures is approximately −0.031 < P1 − P2 < 0.257.

(b)  The confidence interval contradicts the claim.

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The work done during the reversible isothermal compression of the gas is approximately -119.63 Joules. The negative sign indicates that work is done on the system during compression.

To calculate the work done during the reversible isothermal compression of an ideal gas, we can use the formula:

Work = -nRT ln(Vf/Vi)

Where:

- n is the number of moles of the gas

- R is the ideal gas constant (8.314 J/(mol·K))

- T is the temperature in Kelvin

- Vi is the initial volume

- Vf is the final volume

Given:

n = 0.05 mol

R = 8.314 J/(mol·K)

Vi = 12 L

To calculate the work done for the given pressure change, we need to find the final volume (Vf). We can use the ideal gas law to relate pressure, volume, and moles:

PV = nRT

Initial pressure (Pi) = 2.5 atm

Final pressure (Pf) = Pi + pressure change = 2.5 atm + 15 atm = 17.5 atm

Using the ideal gas law, we can solve for Vf:

Vf = (nRT) / Pf

Vf = (0.05 mol * 8.314 J/(mol·K) * T) / (17.5 atm)

Since the process is isothermal, the temperature remains constant. Let's assume it is 298 K:

Vf = (0.05 mol * 8.314 J/(mol·K) * 298 K) / (17.5 atm)

Vf ≈ 8.483 L

Now we can calculate the work done using the equation:

Work = -nRT ln(Vf/Vi)

Work = -(0.05 mol * 8.314 J/(mol·K) * 298 K) * ln(8.483 L / 12 L)

Work = -(0.05 mol * 8.314 J/(mol·K) * 298 K) * ln(8.483 L / 12 L)

Calculating the expression:

Work = -(0.05 mol * 8.314 J/(mol·K) * 298 K) * ln(0.7069)

Using a scientific calculator or math software to evaluate the natural logarithm:

Work ≈ -119.63 J

Therefore, the work done during the reversible isothermal compression of the gas is approximately -119.63 Joules. The negative sign indicates that work is done on the system during compression.

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If you save $2,015.82 every year at an interest rate of 8%, you can retire in 30 years and live another 25 years while still having enough money to spend $80,000 per year.

To calculate the amount you need to save per year for the next 30 years, we can use the future value of an ordinary annuity formula.

The future value of an ordinary annuity formula is:

\(FV = P \cdot \left(\frac{(1 + r)^n - 1}{r}\right)\)

Where:

FV = Future value of the annuity

P = Payment amount per period

r = Interest rate per period

n = Number of periods

In this case:

P = Amount you need to save per year

r = 8% = 0.08 (annual interest rate)

n = 30 (number of years)

We want the future value (FV) to be equal to the amount needed to spend per year during retirement, which is $80,000.

Using the formula, we can calculate the amount you need to save per year:

\(\$80,000 = P \cdot \left[\left(1 + 0.08\right)^{30} - 1\right] / 0.08\$\)

Simplifying the equation:

\($80000 = P \cdot [1.08^{30} - 1] / 0.08$\)

$80,000 * 0.08 = P * [1.08³⁰ - 1]

$6,400 = P * [1.08³⁰ - 1]

Dividing both sides by [1.08³⁰ - 1]:

\($P = \dfrac{\$6400}{1.08^{30} - 1}$\)

Calculating [1.08³⁰ - 1]:

[1.08³⁰ - 1] ≈ 3.172024

Dividing $6,400 by 3.172024:

P ≈ \($\frac{6,400}{3.172024} \approx$ $2,015.82\) (rounded to the nearest cent)

Therefore, you need to save approximately $2,015.82 per year into your investment account at the end of each year for the next 30 years.

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