Helllp pleaseeee!!!!


Solve for x.
2^4x=8^3x-10

If a and b are any odd integers, then a2 + b2 is even.

And the proof for that we can explain as,

 So we have a and b are any odd integers. By definition of odd integer,

           a = 2r + 1 and b = 2r + 1 for any integers r and s.

By definition of odd integer,

          a = 2r + 1 and b = 2s + 1 for some integers r and s.

By substitution and algebra,

      a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 +52) + 2(r + s) + 1]. 2r2 + 2s2.

        Then k is an integer because sums and products of integers are integers. Let k = Thus, a2 + b2 = 2k, where k is an integer.

Proof: 1. Suppose a and b are any odd integers.

Proof:2. By definition of odd integer, a = 2r + 1 and b = 2r + 1 for any integers r and s.

Proof:3. By substitution and algebra, a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 + s2) + 2(r + s) + 1].

Proof:4. Let k = 2(r2 + s2) + 2(r + s) + 1. Then k is an integer because sums and products of integers are integers.

Proof:5. Hence a2 + b2 is even by definition of even.

Proof:6. Thus, a2 + b2 = 2k, where k is an integer.

  Hence we proved that "If a and b are any odd integers, then a2 + b2 is even".

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The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

The gross earnings are determined by multiplying the pay rate by the number of hours worked.

Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.

Total deductions are the sum of federal taxes, state taxes, and social security deductions.

Net pay is obtained by subtracting the total deductions from the gross earnings.

To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.

Therefore, the gross earnings are $7.50 * 30 = $225.

Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.

The federal taxes amount to 18% * $225 = $40.50.

Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.

The state taxes amount to 4% * $225 = $9.

To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.

The social security deduction amounts to 7.05% * $225 = $15.86.

The total deductions are the sum of the federal taxes, state taxes, and social security deduction.

Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.

Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.

Therefore, the net pay is $225 - $65.36 = $159.64.

In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

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Answer:

x^2 - 6x + 25

Step-by-step explanation:

( x + 1 ) ^2 -8( x - 1 ) + 16

undo the square

x^2 + 2x + 1 -8(x - 1) + 16

distribute

x^2 + 2x + 1 -8x + 8 + 16

simplify

x^2 - 6x + 25

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

$110

Step-by-step explanation:

If her art book costs $26.62 less than her math book, and her math book costs $83.38, then all you have to do is add 26.62 to 83.28. Then the answer would be 110.

Answer:

3/8

Step-by-step explanation:

If 5/8 of the staff is male, then 8/8 is the total number of staff.

8/8 - 5/8 = 3/8

3/8 of the staff is female.

Hope this has helped. If the question has more to it, then please specify.

The magnitude and direction of the acceleration as the ball goes up is a negative value (opposite direction of motion), while the magnitude and direction of the acceleration as the ball goes down is a positive value (same direction as motion).

When the ball goes up, its initial velocity decreases due to the opposing force of gravity. The acceleration experienced by the ball is directed downwards, opposing the ball's upward motion. The magnitude of the acceleration can be determined using the kinematic equation:

[ v^2 = u² + 2as \]

where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration, and \( s \) is the displacement. Since the ball is moving upward, the final velocity (\( v \)) will be zero at the highest point. Therefore, we can rewrite the equation as:

[ 0 = u² - 2as \]

Solving for acceleration (\( a \)), we get:

[ a = \frac{{u²}}{{2s}} \]

Substituting the given values (initial position = 6.3 m, initial velocity = 1.0 m/s), we can calculate the magnitude of the acceleration.

[ a = \frac{{(1.0 \, \text{m/s})^2}}{{2 \cdot 6.3 \, \text{m}}} \]

[ a \approx 0.0794 \, \text{m/s}² \]

The negative sign indicates that the acceleration is in the opposite direction of motion, which is downward.

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Answer:

The Surface area is 148

Step-by-step explanation:

For the front and back each side is 30 since 6x5=30. Therefore total 60

For the left and right it is 5x4=20. Each side 20 therefore total 40

For top and bottom it is 6x4=24. 24x2 =48 so total 48.

In total combined: 40+60+48=148

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

Answer:

  1

Step-by-step explanation:

The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.

In y = x^2 +7, the leading coefficient is 1.

  latus rectum = 1/|1| = 1

The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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The contract between Expert Pavers, Inc., and Fabricated Building Corporation for repaving Fabricated's parking lot includes various elements that are essential to the agreement and its enforceability.

A contract is a legally binding agreement between two or more parties that outlines the rights and obligations of each party. In the case of Expert Pavers, Inc., and Fabricated Building Corporation, the contract for repaving the parking lot encompasses several elements. First, there must be an offer from one party, which in this case is Expert Pavers, Inc., to perform the repaving services. Fabricated Building Corporation must then accept the offer and agree to pay for the services provided. This acceptance can be expressed orally, in writing, or even implied by the conduct of Fabricated Building Corporation. Furthermore, for a contract to be valid, there must be consideration, meaning that each party must provide something of value to the other. In this situation, Expert Pavers, Inc., provides the repaving services, and Fabricated Building Corporation provides payment. Additionally, the contract should clearly define the scope of work, timeline, and any other specific terms or conditions agreed upon by both parties. It is crucial for contracts to be clear, unambiguous, and mutually agreed upon to ensure enforceability and protect the rights of both parties involved.

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Answer:

15/8

Step-by-step explanation:

If x and y are both positive, the expression x - y can range from 0 to positive infinity, including both zero and positive values.When we subtract a smaller positive number (y) from a larger positive number (x)

the result can vary depending on the specific values of x and y. If y is smaller than x: When y is smaller than x, the expression x - y will be a positive number. This is because subtracting a smaller positive value from a larger positive value results in a positive difference. For example, if x = 10 and y = 3, then x - y = 10 - 3 = 7, which is a positive number. If y is equal to x: When y is equal to x, the expression x - y will be zero. This is because subtracting equal values from each other results in zero. For example, if x = 5 and y = 5, then x - y = 5 - 5 = 0. If y is greater than x: When y is greater than x, the expression x - y will be a negative number. However, since the given condition states that x and y are both positive, this case is not possible. Therefore, the expression x - y, when x and y are both positive, can be zero or a positive number. The range of possible values includes all non-negative real numbers, from zero to positive infinity.

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The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

Answer:

6cm , 12cm

Step-by-step explanation:

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

a) for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

In this question, we have been given two functions.

We need to find the given function.

a) f(x) = 8x and g(x) = 12x + 3

To find (f g)(x)

We know that, the product of functions f(x) and g(x) is:

(f g)(x) = f(x) . g(x)

(f g)(x) = (8x) (12x + 3)

(f g)(x) = 96x² + 24x

So, for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) f(x)= 14 and g(x)= 3 - 12x

To find f(x) • g(x)

f(x) • g(x) = (14) . (3 - 12x)

f(x) • g(x) = 42 - 168x

So, for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

Therefore, a) for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

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Answer:

3x+4=22

this is the required equation

now,

3x=22-4

3x=18

x=6

hope it helps you

Step-by-step explanation:

you may Mark me as brainliest:)

have a great day

Answer:

x = 6

Step-by-step explanation:

According to the question, Suppose x is the number.

multiplying x by 3 and adding 4, you get 22.

3x + 4 = 22

Solving,

3x + 4 = 22

3x = 22 - 4

3x = 18

x = 18/3

x = 6

The estimated multiple regression equation is ŷ = 1,304 + 113x1 - 237x2 + 30x3.

In the estimated multiple regression equation, ŷ represents the predicted or estimated value of the dependent variable. The equation includes three independent variables: x1, x2, and x3, with respective coefficients of 113, -237, and 30.

The constant term is 1,304. The equation can be used to estimate the value of the dependent variable (ŷ) based on the values of the independent variables (x1, x2, x3).

The coefficients indicate the effect of each independent variable on the dependent variable, with positive coefficients indicating a positive relationship and negative coefficients indicating a negative relationship.

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Answer:

X=4

Step-by-step explanation:

3(X+1)+4x+3=34

3x+3+4x+3=34

group like terms

3x+4x=34-3-3

7x=28

divide by 7

X=4

Answer:

Yes

Step-by-step explanation:

Depends on the specific values of x, y, and the step size h used in the approximation.

What is differentiation ?

Differentiation is a concept in calculus that involves finding the rate of change of a function with respect to one of its variables. It is represented by the symbol ∂/∂x or ∂/∂y or ∂/∂t (where x, y and t are the variables of the function). The process of differentiation allows us to find the slope of a curve, the instantaneous rate of change, and the maximum or minimum points of a function.

The difference between dy and δy can be determined by subtracting dy from δy. The accuracy of dy in approximating δy depends on the specific values of x, y, and the step size h used in the approximation.

For example, if we consider dy = (f(x+h, y+k)-f(x,y))/h, and δy= f'(x)*δx.

Where f(x,y) is the given function for the system of differential equations and f'(x) is the derivative of the function f(x,y) with respect to x.

so the difference between dy and δy is δy-dy= f'(x)*δx - (f(x+h, y+k)-f(x,y))/h.

The accuracy of dy in approximating δy can be determined by taking the limit of the difference as h approaches 0.

In the end, it all depends on the specific problem and desired level of accuracy.

Depends on the specific values of x, y, and the step size h used in the approximation.

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Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Answer:

Analiese,

The formula for volume of a cylinder is v=πr^2h

So first you plug in the info. you were given.

v=3.14x11^2x 18

Then, you simplify the equation.

v=3.14x121x18

v=3.14x2,178

v=6,839 cubic feet

Hope this helped

Step-by-step explanation:

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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