You are single and claim 1 allowance. You presently earn $520.00
per week. Starting next week you will receive a 5% increase in
pay and will earn $546.00. How much more will you have
withheld from your weekly pay for federal income tax?

The function f(x) is defined as the ratio of a polynomial g(x) divided by a quadratic expression 2x2-32.

A function is a set of instructions or code that performs a specific task when it is called or invoked. It is a subprogram that can be used in other programs. Functions are also known as procedures, routines, subroutines, and methods. They are essential for making code more organized and reusable. Functions can be used to perform repetitive tasks, or tasks that would be difficult to write out in one program. They can also be used to break down a larger program into smaller, more manageable parts. When used properly, functions can make code easier to read, debug, and maintain.

The form of the polynomial g(x) is not specified, but it can be any polynomial of any degree.
For example, if g(x) is a linear polynomial of the form ax+b, then f(x) would be of the form (ax+b)/(2x2-32).

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\(\displaystyle\bf\\f(x)=-x^2+2x+4\\\\x_{max}=\frac{-b}{2a}=\frac{-2}{2\times(-1)}=\frac{-2}{-2}=\boxed{\bf1}\\\\y_{max}=\frac{-\Delta}{4a}=\frac{-(b^2-4ac)}{4a}=\frac{-(2^2-4\times(-1)\times4)}{4\times(-1)}=\\\\\\=\frac{-(4-(-16))}{-4}=\frac{-(4+16)}{-4}=\frac{-20}{-4}=\frac{20}{4}=\boxed{\bf5}\\\\\\\textbf{The maximum has the coordinates: }~~\boxed{\boxed{\bf~M(1,~5)~}}\)

Answer:

∠ E = 56°

Step-by-step explanation:

the external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ MGF is an exterior angle of the triangle , then

10x + 12 = 5x - 4 + 76

10x + 12 = 5x + 72 ( subtract 5x from both sides )

5x + 12 = 72 ( subtract 12 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

Then

∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°

Answer:

56°

Step-by-step explanation:

The exterior angle property states that the exterior angle is equal to the sum of the internal angles not adjacent to it.

Given :

∠E = (5x + 4)°

∠F = 76°

∠FGM =  (10x + 12)°

Solving :

∠E + ∠F = ∠FGM

5x - 4 + 76 = 10x + 12

10x - 5x = 72 - 12

5x = 60

x = 12

Substitute x in ∠E :

5(12) - 4

60 - 4

56°

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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To calculate the standard deviation of the number of defective items, we need to follow some steps. So, the correct answer is: c. 4.39 items.

The following steps are:

Calculate the mean (average) of the data set.

Calculate the deviation of each data point from the mean.

Square each deviation.

Calculate the mean of the squared deviations.

Take the square root of the mean squared deviation to obtain the standard deviation.

Let's perform these calculations:

Number of defective items: 12, 9, 11, 8, 12, 0, 10, 7, 20, 11, 6, 10, 10, 4, 8

Step 1: Calculate the mean:

Mean = (12 + 9 + 11 + 8 + 12 + 0 + 10 + 7 + 20 + 11 + 6 + 10 + 10 + 4 + 8) / 15 = 127 / 15 ≈ 8.47

Step 2: Calculate the deviation of each data point from the mean:

Deviation = each data point - mean

Deviation = 12 - 8.47, 9 - 8.47, 11 - 8.47, 8 - 8.47, 12 - 8.47, 0 - 8.47, 10 - 8.47, 7 - 8.47, 20 - 8.47, 11 - 8.47, 6 - 8.47, 10 - 8.47, 10 - 8.47, 4 - 8.47, 8 - 8.47

Step 3: Square each deviation:

Squared Deviation = Deviation^2

Step 4: Calculate the mean of the squared deviations:

Mean Squared Deviation = (sum of squared deviations) / 15

Step 5: Take the square root of the mean squared deviation to get the standard deviation.

Performing these calculations, the standard deviation of the number of defective items is approximately 4.39 (option C).

Therefore, the correct answer is: c. 4.39 items.

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Answer:

he has to pick the phone up 100 more times

Answer:

He gotta do it 100 times

Step-by-step explanation:

Take 1000 divide it by 10 you get 100.

bobux big brain

    \(\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)

  2x+2<14?

  \(\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

When solving an equation/inequality, We need to make sure that all numbers are on one side, And all variables are on the other.

Since we have numbers on both sides, we need to move them to one side (usually the right-hand side, RHS)

So, let's start ~

Subtracting 2 on both sides:-

\(\sf{2x < 12}\)

Now, Dividing by 2 on both sides:-

\(\sf{x < 6}\)

So numbers less than 6 will make this inequality true.

It's always a good idea to make sure our solution's correct.

In order to check whether or not our solution's correct, we need to plug it into our original inequality.

Let's take any number less than 6; Let's take 5:-

\(\sf{2(5) < 14}\)

Simplifying,

\(\sf{10 < 14}\)

Is 10 less than 14? Yes. Henceforth, Our solution's correct.

#TogetherWeGoFar ~

\(\rule{300}{1}\)

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

a) Given:

Population size \(N=5\).

Sample size \(n=2\)

Possible sample (without replacement)

\(\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}\)

\(=\frac{5\times 4}{2}\)

\(=10\)

\(10 samples:-\)

Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

b) Event: \(E\to\)choosing sample second and tenth.

\(E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10\)

The Probability of that it is the first sample.

Second and tenth sample\(=\frac{n\left ( E \right )}{n(S)}\)

                                           \(=\frac{2}{10}\)

                                           \(=\frac{1}{5}\)

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Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

Answer:

The BEST DEAL Is 32..

Step-by-step explanation:

please mark me brainliestndfollow me because im new in brainly.

This is easy. All you need to do is set up a proportional relationship.

A proportional relationship uses variables to show similarities, in this case, in triangles.

\(\frac{2}{3} = \frac{x}{6.3}\\\\3x = 12.6\\\\x = 4.2\)

x represents the missing side.

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Given :

International Business School :

Initial = 250.50

Spending per month = $35

Future Agricultural leaders club :

Initial = $300

Spending per month = 45.25

The number of months, m itvwi take for them to have the same amount of money :

Total spending after m months for both :

Initial - spending per month * number of months

International Business School :

250.50 - 35m - - - (1)

Future Agricultural Leaders Club :

300 - 45.25m - - - - - 2)

Equate both : (1) and (2)

250.50 - 35m = 300 - 45.25m

Answer:

250.50 - 35m = 300 - 45.25m

( option B )

Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

Answer:

y = tan(pi x) Write the composite function in the form f(g(x)). Identify the inner function u = g(x) and the outer function y =f(u). Then find the derivative dy/

Step-by-step explanation:

Hopes this helps : )

The Total Proability will be 297 / 1015

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Total Number of Regular Soft Drinks = 18

Total Number of Diet Soft Drinks = 12

Total Drinks = 18 + 12 = 30

Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the first and last attempt = 12/30  * 18/29 * 11/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the second and last attempt = 18/30  * 12/29 * 11/28 = 2376 / 24360

Total Probability = 3 * 2376 / 24360

Total Probability = 2376 / 8120

Total Probability = 297 / 1015

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Answer:

A

Step-by-step explanation:

They are all straight paths with end points but a line is never ending  but it is still two dimensional

Answer:

D - Are One dimensional

Step-by-step explanation:

Line , Line segments and Ray's are all one dimensional objects

The sum of 25 and 4 is the result promised by the mean value theorem for numerical methods for the function over the specified interval.

G prime(c) = g(b) - g(a) b-a is the formula for the mean value hypothesis for numerical methods for the functional f(c) across the range [a, b]. The assumption is that for the given function, there is a value c between [a, b].

Given the interval [4,9] and the function g(x) = 5x

g prime (c) = g(9) - g(4) ÷ 9-4

g(9) = 5√9

g(9) = 5 × 3 = 15

g(4) = 5√4

g(4) = 5 × 2 = 10

g prime c) = 15-10 ÷ 9-4

g prime (c) = 5 ÷ 5

g prime(c) = 1

So find the numeral for which g prime (x) = g prime(c)

If g(x) = 5√x =

g prime (x) =

g prime (x) = 5 ÷ 2√x

Since g prime (c) = 1 then;

5/2√x = 1

5 = 2√x

√x = 5 ÷ 2

x = (5 ÷ 2)²

x = 25 ÷ 4

The mid-value theorem guarantees a value of c of 25 ÷ 4.

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The question is -

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)

f(x)=5√x,[4,9]

The value of the expression is (a) (f∘g)(4) = 14√2

(b) (g∘f)(2) = 14√2

(c) (f∘f)(1) = 7√7

(d) (g∘g)(0) = 0

To find the given expressions, we'll substitute the appropriate values into the composed functions.

(a) To find \((f \circ g)(4)\), we first evaluate \(g(4)\) and then substitute the result into \(f(x)\).

  \[g(4) = 2(4) = 8\]

  \((f \circ g)(4) = f(8) = 7\sqrt{8} = 7\sqrt{4 \cdot 2} = 7 \cdot 2 \sqrt{2} = 14\sqrt{2}\)

(b) To find \((g \circ f)(2)\), we first evaluate \(f(2)\) and then substitute the result into \(g(x)\).

  \[f(2) = 7\sqrt{2}\]

  \((g \circ f)(2) = g(7\sqrt{2}) = 2(7\sqrt{2}) = 14\sqrt{2}\)

(c) To find \((f \circ f)(1)\), we substitute \(f(1)\) into \(f(x)\) twice.

  \[f(1) = 7\sqrt{1} = 7 \cdot 1 = 7\]

  \((f \circ f)(1) = f(7) = 7\sqrt{7}\)

(d) To find \((g \circ g)(0)\), we substitute \(g(0)\) into \(g(x)\) twice.

  \[g(0) = 2(0) = 0\]

  \((g \circ g)(0) = g(0) = 0\)

Therefore, the values of the given expressions are:

(a) \((f \circ g)(4) = 14\sqrt{2}\)

(b) \((g \circ f)(2) = 14\sqrt{2}\)

(c) \((f \circ f)(1) = 7\sqrt{7}\)

(d) \((g \circ g)(0) = 0\)

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By solving a quadratic equation we can see that the width of the path measures 20 meters.

We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:

A = 18m*20m = 360 m^2

Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:

(18m + 2x) and (20m + 2x)

And its area is given by:

(18m + 2x)*(20m + 2x)

And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):

(18 + 2x)*(20 + 2x) = 1520

360 + 4x^2 + 76x = 1520

Now we just need to solve that quadratic equation:

4x^2 + 76x - 1520 + 360 = 0

4x^2 + 76x - 1160 = 0

The solutions are:

x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)

x = (-76 ± 156)/4

We only care for the positive solution, which gives:

x = (-76 + 156)/4 = 20

We conclude that the width of the path measures 20 meters.

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The value of M and N from the given expression is -10 and -21 respectively

Sum of functions is the addition of expression. Given the expression below;

M = 5(x + 1) and;

N = (6x - 3)

Take the difference of the expressions

M - N = 10

Substitute

5(x+1) - (6x-2) = 10

Expand the expression to have:

5x + 5 -6x + 2 = 10
5x - 6x + 5 + 2 = 10
-x + 7 = 10
-x = 10 - 7
-x = 3
x = -3

Determine the value of M

M = 5x + 5
M = 5(-3) + 5
M = -15 + 5
M = -10

Determine the value of N

N = 6x - 3
N = 6(-3) - 3
N = -18 - 3
N = -21

Hence the value of M and N from the given expression is -10 and -21 respectively

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Answer:

Nabila has $25 dollars.

Hasan has $19 dollars.

Tarek has $50 dollars.

Step-by-step explanation:

Let's say Hasan has "x" dollars at first. The question tells us that Nabila has six more dollars than Hasan has. This means that Nabila has "x + 6" dollars. The last given information is that Tarek has two times what Nabila has. So, Tarek has "2x + 12" dollars, basically.

Then, we can add up all these amounts to find out the result for each person.

We found what is "x". This means that we actually found the answer.

Hasan had "x" dollars so he has $19 dollars.

Nabila had "x + 6" dollars so she has $25 dollars.

Finally, Tarek had "2x + 12" dollars or two times of what Nabila has so he has $50 dollars.

Answer:

\(-3x^2+6xy+4\)

Step-by-step explanation:

\((3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4\)

Hope this helps!

Answer:

3x2-6xy

Step-by-step explanation:

I think i dont know

The sum of the scientific notation is 8.655 * 10^9

The standard form of a  scientific notation is expressed as A * 10^n

where

A is any value between 1 and 10

n is any integer

Given the expression below;

(8.42 x 10^9) + (2.35 x 10^8)

This can also be expressed as

(84.2 x 10^8) + (2.35 x 10^8)

(84.2+2.35) * 10^8

86.55 * 10^8

8.655 * 10^9

Hence the sum of the scientific notation is 8.655 * 10^9

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Answer: 155

Step-by-step explanation:

y=11x+12

2003-1990=13

13×11=143

y=143+12

155=143+12

Velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.

Given,

Jet's velocity against wind 1731 / 3 = 577  mile per hour

flying with wind it   2151 / 3 = 717 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x−y and with wind is x+y and therefore

x−y=577;

x+y=717

Adding the two

2x = 1294

x = 647

y= 717 − 647

y = 70

Hence velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.

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Answer:

13x  > 36

or if they want x solved

x < 2.8

Step-by-step explanation:

Answer:

\( \longmapsto \sf \: 13 \times x < 36\)

\( \longmapsto \sf \: 13x < 36\)

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.

Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)

A square is a common polygon with four equal sides and angles that are each 90 degrees in length.

A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.

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0.0043 is the number which contains a digit or digits which are not significant

In scientific notation, the significant figures are those digits that carry meaning in terms of the accuracy or precision of the measurement.

The non-significant digits are those that are present in the number but do not add any value to the measurement in terms of accuracy or precision.

In  0.0043, there are only two significant figures: 4 and 3.

The leading zeros are not significant as they only serve as placeholders to indicate the position of the decimal point.

Therefore, this number contains a digit that is not significant.

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