What is the common denominator of 13/24 + 7/12?

Answer:

d = 4.5

Step-by-step explanation:

The given polynomial is P(x) = x⁴ - d·x³ + 8·x² - 14·x + 16

The factor of the polynomial is (x - 2)

By the factor theorem, if (x - 2) is a factor, then P(x) = 0 at x = 2

Therefore, we have;

P(2) = 2⁴ - d·2³ + 8·2² - 14·2 + 16 = 0

2⁴ - d·2³ + 8·2² - 14·2 + 16 = 0

16 - 8·d + 8 × 4 - 28 + 16 = 0

8·d = 16 + 8 × 4 - 28 + 16 = 36

8·d = 36

d = 36/8 = 4.5

d = 4.5

The value of d which makes (x-2) a factor of the polynomial, P(x) is; d = -4.5

If (x-2) is a factor of the polynomial;

As such, x = 2 is a zero of the polynomial function;

In essence, at x = 2, P(x) = 0.

d = -4.5

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Answer:

It would be H.

Explanation:
I'm good at math

Answer: The answer is B

Step-by-step explanation:

Answer:bruh thats too much and its long

Step-by-step explanation:

Hausu

Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = $59,000

Step-by-step explanation:

Let:

Average salary of a bachelor's degree = b

Salary of a master's holder = 2b - 55000

Combined salary of both degrees :

b + (2b - 55000) = 116000

b + 2b - 55000 = 116000

3b = 116000 + 55000

3b = 171000

Divide both sides by 3

3b/3 = 171000/3

b = 57000

Hence,

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = 2(57000) - 55000 = 59,000

Answer:

Yes

Step-by-step explanation:

8x - 16 = 8

Add 16 to both sides of the equation

8x - 16 + 16 = 8 + 16

8x = 24

Step-by-step explanation:

Question 1:

Question 2:

Answer:

0.64y = 40.

Question 2:

0.45z = 72

z = 72 * (1/0.45) = 160.

Step-by-step explanation:

a)  The critical point is (-1/2, 7/16).

b)  The discriminant is negative, the critical points (0, -1) and (1, 1) do not have extrema.

c)   all the critical points (nπ, 0) are saddle points.

a) To find the critical points, we need to find the points where the partial derivatives of f(x, y) with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = 3x^2 + 1 - 4y

Partial derivative with respect to y:

∂f/∂y = -4x - 2

Setting these partial derivatives equal to zero and solving the resulting system of equations, we can find the critical points:

3x^2 + 1 - 4y = 0 ...(1)

-4x - 2 = 0 ...(2)

From equation (2), we have -4x - 2 = 0, which gives x = -1/2. Substituting this value of x into equation (1), we get:

3(-1/2)^2 + 1 - 4y = 0

3/4 + 1 - 4y = 0

7/4 - 4y = 0

-4y = -7/4

y = 7/16

Therefore, the critical point is (-1/2, 7/16).

To determine the nature of this critical point, we can calculate the second partial derivatives:

∂²f/∂x² = 6x

∂²f/∂y² = 0

∂²f/∂x∂y = -4

The discriminant for this point is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (6x)(0) - (-4)² = 16.

Since the discriminant is positive and ∂²f/∂x² = 6x, the critical point (-1/2, 7/16) is a relative minimum.

(b) To find the critical points for f(x, y) = x(y + 1) - x²y, we need to find where the partial derivatives with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = y + 1 - 2xy

Partial derivative with respect to y:

∂f/∂y = x - x²

Setting these partial derivatives equal to zero, we get:

y + 1 - 2xy = 0 ...(1)

x - x² = 0 ...(2)

From equation (2), we have x - x² = 0, which gives x(x - 1) = 0. This implies that x = 0 or x = 1.

Case 1: x = 0

Substituting x = 0 into equation (1), we have:

y + 1 = 0

y = -1

Therefore, one critical point is (0, -1).

Case 2: x = 1

Substituting x = 1 into equation (1), we have:

y + 1 - 2y = 0

-y + 1 = 0

y = 1

Therefore, another critical point is (1, 1).

To determine the nature of these critical points, we calculate the second partial derivatives:

∂²f/∂x² = -2

∂²f/∂y² = 0

∂²f/∂x∂y = -2

The discriminant for both critical points is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (-2)(0) - (-2)² = -4.

Since the discriminant is negative, the critical points (0, -1) and (1, 1) do not have extrema.

(c) To find the critical points for f(x, y) = cos(x) cosh(y), we need to find where the partial derivatives with respect to x and y are equal to zero.

Partial derivative with respect to x:

∂f/∂x = -sin(x) cosh(y)

Partial derivative with respect to y:

∂f/∂y = cos(x) sinh(y)

Setting these partial derivatives equal to zero, we get:

-sin(x) cosh(y) = 0 ...(1)

cos(x) sinh(y) = 0 ...(2)

Equation (1) implies that sin(x) = 0, which occurs when x = nπ for n being an integer.

Equation (2) implies that sinh(y) = 0, which occurs when y = 0.

Therefore, the critical points are of the form (nπ, 0), where n is an integer.

To determine the nature of these critical points, we can calculate the second partial derivatives:

∂²f/∂x² = -cos(x) cosh(y)

∂²f/∂y² = cos(x) cosh(y)

∂²f/∂x∂y = -sin(x) sinh(y)

The discriminant for these critical points is D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = (-cos(x) cosh(y))(cos(x) cosh(y)) - (-sin(x) sinh(y))² = cos²(x) cosh²(y) - sin²(x) sinh²(y).

Since cos²(x) and cosh²(y) are always positive, and sin²(x) and sinh²(y) are always non-negative, the discriminant D will always be non-negative.

Therefore, all the critical points (nπ, 0) are saddle points.

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The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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Answer:

(x-12)^2+(y-2)^2=4

Step-by-step explanation:

Answer:13

Step-by-step explanation: range is the biggest value - the smallest value, in this case, the biggest value= 5 and the smallest value= -8 so, 5--8= 5+8 ( when it is a minus minus it is automatically changed to a plus)= 13.

Answer: 224

Step-by-step explanation:

The nurse should administer 0.88 mL of the cefazolin solution for the 550 mg IM dose.

To determine the number of mL to administer for the 550 mg IM dose of cefazolin, follow these steps:
Determine the concentration of cefazolin per mL:
- You have a 2-g (2000 mg) vial of cefazolin that was diluted with 3 mL of diluent, yielding a total volume of 3.2 mL.
- Divide the total amount of cefazolin (2000 mg) by the total volume (3.2 mL) to find the concentration per mL: 2000 mg / 3.2 mL = 625 mg/mL.
Calculate the volume needed for the 550 mg dose:
- Divide the prescribed dose (550 mg) by the concentration per mL (625 mg/mL):

550 mg / 625 mg/mL = 0.88 mL.

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The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.

To determine the mL to administer for the 550 mg IM order of cefazolin, follow these steps:

1. Calculate the concentration of cefazolin in the solution:
  - 2,000 mg (2-g vial) of cefazolin is diluted with 3 mL of diluent, yielding a volume of 3.2 mL.
  - Concentration = (2,000 mg) / (3.2 mL) = 625 mg/mL

2. Determine the volume needed for the 550 mg prescribed dose:
  - Volume = (Prescribed Dose) / (Concentration)
  - Volume = (550 mg) / (625 mg/mL) = 0.88 mL

Cefazolin is an antibiotic used to treat various bacterial infections. The dosage of cefazolin depends on the type and severity of the infection, as well as the patient’s weight, age, and kidney function12. The usual adult dose for mild to moderate infections ranges from 250 mg to 1 g every 6 to 12 hours

The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.

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C. The more reliable survey would be: Tamira's survey is more reliable than Denise's survey, and approximately 1,500 residents of the town would likely be in favor of the construction of a new baseball stadium.

Tаmirа's survеy is mоre reliаble bеcаusе shе survеyed rеsidеnts frоm diffеrеnt sectiоns оf thе town, whiсh is а mоre representаtive sаmple оf thе entire populаtiоn. Denise's survеy, оn thе othеr hаnd, wаs cоnducted аt а bаsebаll gаme, whiсh might hаve introduced а biаs towаrds people who аre mоre likеly to bе in fаvor оf thе new stаdium.

Bаsed оn Tаmirа's survеy, 30 out оf 150 rеsidеnts (20%) аre in fаvor оf thе cоnstructiоn.

If we extrаpolаte this percentаge to thе entire populаtiоn оf 7,500 rеsidеnts, we cаn estimаte thаt аpproximаtely 1,500 rеsidеnts (20% оf 7,500) would likеly bе in fаvor оf thе new bаsebаll stаdium.

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Answer:

175 Miles has to be driven to do the plans cost the same.

Step-by-step explanation:

Assume The Chau Drive Y miles .

We Have Given Two Plans ,

Now,Put First Plan=Second Plan (When Both Plans Cost The Same)

50$ + 0.19$ × Y = 57$ + 0.15$ × Y

0.04$ × Y = 7  ⇔  Y = 175 Miles

The graph of function h is the graph of g vertically shifted up 1 unit

Given data ,

Let the parent function be represented as g ( x )

Now , g ( x ) = x²

And , the transformed function is h ( x )

where h ( x ) = g ( x ) + 1

And , Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

The function h(x) = g(x) + 1 takes the output of g(x) and adds 1 to it. This means that every point on the graph of h will be 1 unit higher than the corresponding point on the graph of g

Hence , the transformation is vertical shift by 1 unit

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The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Answer:

0 I think im not 100% sure tho

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis.

Answer:

Step-by-step explanation:

A=number Adult tickets;S=A+74= number Student tickets

Total tickets=adult tickets + student tickets

724=A+(A+74)

724=2A+74 Subtract 74 from each side

650=2A divide each side by 2

325=A ANSWER 1: There were 325 Adult tickets sold

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Step-by-step explanation:

To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!

Since we have found ∠A, we can now find ∠B.

Conclusion:

We have finally found out our answer and our answer is '∠B = 82°'.

\(GeniusUser\)

The interquartile range is least affected by an outlying value in the data set of the range, interquartile range, and variance is True.

Max to min value is the range. Range can substantially change if there are any outliers.

Since the threshold values for Q3 and Q1 are not outliers, the IQR won't change.

Outliers cause variance to be misinterpreted since they vastly increase variance.

Interquartile range:

You may determine the spread of the midpoint of your distribution using the interquartile range.

The interquartile range contains half of the values for any distribution that is ordered from low to high. The first 25% of values are found in the first quartile (Q1), while the last 25% are found in the fourth quartile (Q4).

The third quartile (Q3) less the first quartile (Q1) is the interquartile range (Q1). This provides us with the data set's middle half's range.

The interquartile range is calculated using only 2 values, much like the range. The IQR, however, is less impacted by outliers because the two values are more likely to be average scores because they are drawn from the middle of the data set.

The IQR provides a reliable indicator of variability for both skewed and normal distributions.

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Answer:

$3240

Step-by-step explanation:

2700x.20=540

2700+540=3240

The time taken by the service technician to change the oil in a car is soved by probability distribution, such as a normal distribution.

We would need to know the mean and standard deviation of the distribution to calculate the probability that a randomly selected technician will take at most 20 minutes.

If we assume that the mean time to change the oil is μ and the standard deviation is σ, we could use the cumulative distribution function (CDF) of the normal distribution to calculate the probability that a randomly selected technician will take at most 20 minutes:

P(X ≤ 20) = Φ((20 - μ) / σ)

where Φ(z) is the CDF of the standard normal distribution, which gives the probability that a standard normal random variable is less than or equal to z.

Without knowing the values of μ and σ, we can't calculate this probability. However, we could make some assumptions or estimates based on data or prior knowledge to come up with reasonable values for these parameters.

Alternatively, if we have discrete data on the time, we could use a different probability distribution, such as the binomial distribution.

In this case, we would need to know the sample size and the probability of a technician taking at most 20 minutes, and we could use the binomial probability mass function to calculate the probability of getting a certain number of technicians who meet this criterion.

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The area of the rectangle will be 512\(cm^{2}\) .

let the longer side of the rectangle be "l" and the shorter side of the rectangle be "b".

Hence, the perimeter of rectangle = 2(l+b)

we are given the perimeter =96cm

thus, 2(l+b)=96

l+b = 96/2

l+b =48

also, we are given the condition that the longer side of the rectangle is two times the length of the Shorter side.

Thus, l=2b, substituting this in l+b=48 we get

2b+b=48

3b=48

b=48/3

b=16cm, now substituting this in l=2b,

l=2(16)

l=32cm

area of the rectangle = length x breadth

=l x b

=32 x 16

= 512\(cm^{2}\)

What is the difference between perimeter and area?

Area and perimeter are two crucial characteristics of two-dimensional shapes in mathematics. The area of a shape describes the space it occupies, whereas the perimeter describes how far the shape's boundary extends.

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Answer:

l-4l+l-3l??

Step-by-step explanation:

Answer:

\(-6\sqrt{5i}\)

Step-by-step explanation:

\(\sqrt{-45} =3\sqrt{5}i\)

\(-2\) * \(3\sqrt{5i}\)

= \(-6\sqrt{5i}\)

Given:

Schaum's earnings in a month = \(x^4+16x\)

His wife's earnings in a month = \(3x^4+11x\)

Where x is the number of working days in a month.

To find:

The total earnings in a month.

Solution:

We know that,

Total earnings = Schaum earnings + His wife's earnings in a month

                       \(=x^4+16x+3x^4+11x\)

                       \(=(x^4+3x^4)+(16x+11x)\)

                       \(=4x^4+27x\)

Therefore, the correct option is A.

The data entry input control that involves summing the first four digits of a customer number to calculate the value of the fifth digit, and then comparing the calculated number to the number entered during data entry, is known as "check digit verification."

Here's a step-by-step explanation of how check digit verification works:
1. Let's say we have a customer number, such as 12345.
2. To calculate the check digit, we sum the first four digits: 1 + 2 + 3 + 4 = 10.
3. The calculated value, 10, is then compared to the number entered during data entry.
4. If the check digit entered by the user matches the calculated value, the data entry is considered valid and accurate.
5. However, if the check digit entered by the user does not match the calculated value, it indicates that an error may have occurred during data entry.
6. In such cases, the system can flag the data entry as potentially incorrect or prompt the user to recheck and correct the entered value.

Check digit verification is commonly used in various industries to ensure the accuracy and integrity of data. It provides a way to quickly identify potential errors during data entry, such as transposed digits or mistyped numbers.

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Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.