Write an expression for ∑τ about the elbow. Express your answer in terms of some or all of the variables fbiceps, felbow, mforearm, mball, dbiceps, dball, and g

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer:  A. an incorrect decision when the null hypothesis is false

Explanation:

A type I error is when we reject the null, but the null was true.

A type II error is when we fail to reject the null, but the alternative was true.

Refer to the chart below to help organize things.

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Answer:

Negative 4 x minus 3 y + 3 z.

Step-by-step explanation:

We need to simplify the given expression : (-5x-3y)-(-x-3z)

Here, x,y and z are variables.

Combining like terms, we get :

(-5x-3y)-(-x-3z) = (-5x-3y)+x+3z

= (-5x+x)-3y+3z

= -4x-3y+3z

Hence, the equivalent expression is -4x-3y+3z. Hence, the correct option is (b) "The simplified expression is Negative 4 x minus 3 y + 3 z".

Answer:

a,b,d

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Answer:

18 / 5

Step-by-step explanation:

3

= 3 / 1

= ( 3 / 1 ) x ( 5 / 5 )

= ( 3 x 5 ) / ( 1 x 5 )

= 15 / 5

3 + 3 / 5

= 15 / 5 + 3 / 5

= ( 15 + 3 ) / 3

= 18 / 5

Answer:

\( fractional \: form \: = 3 \frac{3}{5}

\\ decimal \: form \: = 3.6\)

Answer:

tennis and chess

Step-by-step explanation:

Answer:

3 times.

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minutes.
1/2 of an hour= 1/2 * 60= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into: 1/3 * 60 = 20 minutes.

If 1/6 of an hour is spent in weight-lifting, it translates into: 1/6 * 60 = 10 minutes.

In total, she spends, 20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

 90 minutes/30 minutes= 3 times for each cycle.

Answer:

Probably 16 (whatever unit)

Step-by-step explanation:

You divide both sides by three to get x after rewriting the problem.

Answer:

3x+8

Step-by-step explanation:

won't it just be that because 3x+8 is between A and B

Answer:

3.5 hours

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

tests and medicine = $150

appointment = $30

discount = 15% = 0.15

visits = 3

final cost = ?

Step 02:

final cost:

final cost = (150 + 30*3) - (150 + 30*3)*0.15

= 240 - 36

= $204

The answer is:

The final cost is $204

Replace x with 3. Then simplify

f(x) = 4x+1

f(3) = 4(3)+1

f(3) = 12+1

f(3) = 13

Answer:13

Step-by-step explanation:

You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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An equation of the best-fit line for the data is y = -0.27x + 10.28.

In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the drops of fertilizer would be plotted on the x-axis of the scatter plot while the height (in inches) would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the drops of fertilizer and height (in inches), a linear equation for the line of best fit and correlation coefficient are as follows:

Equation: y = -0.27x + 10.28.

Correlation coefficient, r = -0.4956​.

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Step-by-step explanation:

60°+x=2x+4

56°=x

m (2x+4)=2 (56)+4

=116°

Answer:

1/4 2/3 and 1/12 sfgjikjhskskshrmsl

Answer:

1) Fill in the Blanks

The First Blank is 1/2 because 1/2 + 1/2 = 1

The Second Blank is 3/4 because 3/4 + 1/4 = 1

The Third Blank is 1/3 because 1/3 + 2/3 = 1

2) Find the LCD

The Least Common Denominator (also known as LCD) is 60

To find this, find the number that each of the denominators can multiply to and have the same one together.

3) Find the length of the final scarf

A full scarf has a length of 150cm

We must use the fragment that is 1/2 this size

150 ÷ 2 = 75

We must use the second fragment which is 3/4 150cm

Divide the scarf into 4 pieces

150 ÷ 4 = 37.5

We need 3 1/4 fragments to = 3/4

37.5 x 3 = 112.5

The final fragment is 1/3 the length of the full scarf

We must divide the scarf into 3 sections

150 ÷ 3 = 50

The three lengths we just found were 75cm, 112.5cm, and 50cm

Add all of the lengths up to find the final length of the last scarf

75 + 112.5 + 50 = 237.5cm

The Final scarf length is 237.5cm

Answer:

(-4,-1) and (-4,7)

Step-by-step explanation:

If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.

Use the Pythagorean Theorem to relate the lengths of the legs of the right triangle on the picture to the length of the hypotenuse:

Solve for a:

Therefore, the value of a is:

The equations are H = 4x + 60 and P = 8x + 20. We need to rent 10 tables to ensure that the cost of the rental will be the same.

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

Let us suppose tables as x.

Given that,

The happy party rents tables for $4 per table plus a delivery fee of 60. This is expressed as:

H = 4x + 60

Party Rental rents tables for $8 per table plus a $20 delivery fee.

P = 8x + 20

To get the same cost of the rent:

H = P

4x + 60 = 8x + 20

60 - 20 = 8x - 4x

40 = 4x

x = 10

Hence, we need to rent 10 tables to ensure that the cost of the rental will be the same.

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Answer:

360 - 60 = 300

x = 300

Step-by-step explanation:

Answer:

42 is the answers o your question

by using the condition for orthogonality between surfaces and applying it to the given equation  \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\) are orthogonal at every point of intersection.

Let's consider the surfaces F(x, y, z) = 0 and G(x, y, z) = 0, where the gradients of F and G are non-zero at the point of intersection P. To prove that the surfaces are orthogonal at P, we need to show that their dot product, FxGx + FyGy + FzGz, is equal to zero at P.

The dot product of the gradients can be written as FxGx + FyGy + FzGz. If this expression evaluates to zero at P, it implies that the gradients are perpendicular, and therefore the surfaces are orthogonal at P.

Now, let's apply this result to the surfaces \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\). Taking the gradients of these surfaces, we find that the dot product FxGx + FyGy + FzGz is equal to 2\(z^{2}\) + 2(\(x^{2}\) + \(y^{2}\) + \(z^{2}\)), which simplifies to 3\(z^{2}\) + 2(\(x^{2}\) + \(y^{2}\)).

Since this expression is equal to zero for all points (x, y, z) satisfying the equation of the second surface, \(x^{2}\) + \(y^{2}\) + \(z^{2}\) = \(r^{2}\), we can conclude that the surfaces \(z^{2}\) = \(x^{2}\) + \(y^{2}\) and \(x^{2}\) + \(y^{2}\)+ \(z^{2}\) = \(r^{2}\) are orthogonal at every point of intersection

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the answer is 87.75                  

Answer:

6/6=1

Step-by-step explanation:

The next value in the sequence is 80.

In arithmetic, what are sequences?

Sequences are ordered sequences of numbers, also referred to as "terms," such as 2,5,8. Some sequences adhere to a particular pattern that can be exploited to make them infinitely long. For instance, 2,5,8 conforms to the pattern "add 3," thus we can now proceed with the sequence. Formulas for sequences can be used to locate any term inside the sequence.

What does a mathematical series mean?

A series is the cumulative total of a given set of terms in mathematics. However, considerably more generality is possible. Typically, these phrases refer to real or complex numbers.

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Answer:

Domain: X is an element of real number

It is a function

Step-by-step explanation:

x is an element of all real numbers

y=5x has a one to one relation. It is a function

Answer:By solving a system of equations, we will see that the function is continuous for all values of x

Step-by-step explanation: