Determine the value of y, if x is –9.
y= | x | +1
Answer:

Step-by-step explanation

ee

Answer:

No thanks

Step-by-step explanation:

Answer:

x - 14.95 = 12.48

x = 27.43

Step-by-step explanation:

Answer:

38 boys

Step-by-step explanation:

If you subtract 62-5 = 57

57/3 = 19

19 x 2 (2/3) = 38

I got confused halfway thru the problem so it looks a little confusing but that should be right.

The derivative of f(x) is given by f'(x) = x^7 (x - 2)^7 / (x^2 + 6)^9 * (7/x + 7/(x - 2) - 18x/(x^2 + 6)).

To find the derivative of the function f(x) = x^7 (x - 2)^7 / (x^2 + 6)^9 using logarithmic differentiation, we follow these steps:

Step 1: Take the natural logarithm (ln) of both sides of the equation:

ln(f(x)) = ln(x^7 (x - 2)^7 / (x^2 + 6)^9)

Step 2: Apply the logarithmic properties to simplify the expression:

ln(f(x)) = ln(x^7) + ln((x - 2)^7) - ln((x^2 + 6)^9)

ln(f(x)) = 7ln(x) + 7ln(x - 2) - 9ln(x^2 + 6)

Step 3: Differentiate implicitly with respect to x:

1/f(x) * f'(x) = 7/x + 7/(x - 2) - 9/(x^2 + 6) * (2x)

Step 4: Solve for f'(x):

f'(x) = f(x) * (7/x + 7/(x - 2) - 18x/(x^2 + 6))

Substituting back the original expression for f(x):

f'(x) = x^7 (x - 2)^7 / (x^2 + 6)^9 * (7/x + 7/(x - 2) - 18x/(x^2 + 6))

Therefore, the derivative of f(x) is given by f'(x) = x^7 (x - 2)^7 / (x^2 + 6)^9 * (7/x + 7/(x - 2) - 18x/(x^2 + 6)).

Learn more about derivative from

https://brainly.com/question/24318076

#SPJ11

Step-by-step explanation:

my instagram account bdq.frk follow please

Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

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

Hence, option B is correct.

To solve more questions on Distributive property, visit the link below -

https://brainly.com/question/16845402

#SPJ2

Answer:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

\(f(x) =-x^{2} +28x-192\)

Vertex

x= \(-\frac{b}{2a}\)

x= \(-\frac{28}{2(-1)} =14\)

y= \(-14^{2}+28(14)-192 =4\)

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

Learn more about Quadratic function and Vertex of quadratic function here

https://brainly.com/question/16245526

#SPJ2

The correct answer is number line A. Number Line A shows that Rose has $25 remaining to spend on decorations. The number line shows that she has already spent $5, as indicated by the arrow pointing from 0 to 5.

Number line is the  visual representation of numbers on a straight line. These are often used to represent linear equations, as well as to learn basic mathematical concepts such as addition, subtraction, multiplication, and division.

The number line shows that she has a total of $30 available for decorations, as indicated by the arrow pointing from 0 to 30. Between the two arrows, it is clear that Rose has $25 remaining to spend on decorations.

Number Line B does not accurately represent Rose’s situation because the arrow pointing from 0 to 20 does not indicate that Rose has already spent $5. Number Line C does not accurately represent Rose’s situation because the arrow pointing from 0 to 25 does not indicate that Rose has a total of $30 available to spend.

To solve this problem, Rose needs to identify the total amount of money she has available to spend on decorations and the amount of money she has already spent. Once she has identified these two values, she can use a number line to represent her situation.

For more questions related to subtraction

https://brainly.com/question/28467694

#SPJ1

a) R(x) = (100 - 0.5x) * x; b) MC(x) = 25, MR(x) = 100 - x; c) The maximum profit needs to be determined by analyzing the profit function P(x) = -0.5x² + 75x - 3000; d) The level of production that maximizes profit can be found using the formula x = -b / (2a) for the quadratic function P(x) = -0.5x² + 75x - 3000, where a = -0.5 and b = 75.

a) Revenue (R) is calculated by multiplying the price (p) per unit by the quantity demanded (x). Since the price-demand equation is p = 100 - 0.5x, the expression for revenue is R(x) = (100 - 0.5x) * x.

b) The marginal cost (MC) function represents the rate of change of the cost function with respect to the quantity produced. In this case, the cost function is C(x) = 25x - 3000. The marginal cost function is therefore MC(x) = 25.

The marginal revenue (MR) function represents the rate of change of the revenue function with respect to the quantity produced. Using the expression for revenue R(x) = (100 - 0.5x) * x from part a), we can find the derivative of R(x) with respect to x to obtain the marginal revenue function MR(x) = 100 - x.

c) To find the maximum profit, we need to determine the quantity that maximizes the profit function. Profit (P) is calculated by subtracting the cost (C) from the revenue (R). The profit function is given by P(x) = R(x) - C(x), which simplifies to P(x) = (100 - 0.5x) * x - (25x - 3000). This expression can be further simplified to P(x) = -0.5x² + 75x - 3000.

d) The level of production that maximizes profit can be found by identifying the value of x that corresponds to the maximum point of the profit function P(x). This can be determined by finding the x-coordinate of the vertex of the quadratic function P(x) = -0.5x² + 75x - 3000. The x-value of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -0.5 and b = 75.

To know more about function,

https://brainly.com/question/32492390

#SPJ11

Both increasing the sample size (i) and using a lower confidence level (iii) would tend to decrease the width of a confidence interval. The answer is: E.

Increasing the sample size provides more data points, which leads to a more precise estimate of the population parameter. With a larger sample size, the variability within the sample is reduced, resulting in a narrower confidence interval.

Using a lower confidence level means being less confident in the estimation and allowing for a greater margin of error. A lower confidence level requires a smaller interval width to accommodate the increased uncertainty, resulting in a narrower confidence interval.

On the other hand, using a higher confidence level (ii) would tend to increase the width of a confidence interval. A higher confidence level indicates a greater degree of confidence in the estimation, requiring a wider interval to capture the range of possible values for the population parameter.

Hence, the correct option is: E. I and III only.

To know more about sample size, refer here:
https://brainly.com/question/31734526
#SPJ11

Answer:

subsitute x for 20 then subsitute z of 7 then solve.

Step-by-step explanation:

Answer:

Area =28.27

Step-by-step explanation:

Answer:

The area of circle:

\(A \approx 28.27\) \(m^2\)

Step-by-step explanation:

To find the area of circle, you need this formula:

\(A = \pi r^2\)

-After have the formula set up, use the given radius for the formula:

\(A = \pi 3^2\)

-Then, you solve:

\(A = \pi \times 3^2\)

\(A = \pi \times 9\)

\(A = 9\pi \approx 28.27\) \(m^2\)

-So, the area of a circle is \(28.27\) \(m^2\) .

Answer:

The numerator of the first fraction 8 is greater than the numerator of the second fraction 3 , which means that the first fraction 812 is greater than the second fraction 312 and that 23 is greater than 14 .

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

\(2 \frac{3}{4} - 4 \frac{1}{4} \\ = > \frac{11}{4} - \frac{17}{4} \\ = > \frac{ - 6}{4} \\ = > \frac{ - 3}{2} \)

She needs to deposit of amount  $92,421.48 today to do this.

We need to find out the present value of $1,000 per month for the next 10 years by considering the interest rate and compounding period given. We are given,Anita wants to withdraw $1,000 per month for the next 10 years.The bank pays interest at 6% compounded monthly.We can calculate the present value of $1,000 per month for the next 10 years by using the formula for Present Value of Annuity. The formula for Present Value of Annuity is given by:PVA= A((1- (1+r)^-n)/r), wherePVA = Present Value of AnnuityA = Amountn = Number of Periodsr = Interest Rate per PeriodFirst, we calculate the interest rate per period as follows:r = 6% per annum/ 12 monthsr = 0.5% per monthNumber of periods (n) = 10 years x 12 months per year = 120 months Amount of Annuity (A) = $1,000Using the above values, we can calculate the present value of the annuity as follows:PVA = 1000 * ((1- (1+0.5%)^-120)/(0.5%))PVA = $92,421.48Therefore, she needs to deposit $92,421.48 today to do this. Therefore, the correct option is $92,421.48.

Learn more about amount :

https://brainly.com/question/8082054

#SPJ11

Answer:

20/10 goes to neither since it equals 2

0.02 goes to 2/100 since it is the same as 0.02

200 goes to neither because it is over 2/10 and 2/100

0.20 goes to 2/10 since 2/10 is equal to 0.20

2.0 goes to neither because it equals 2

Hope this helped

Step-by-step explanation:

Answer:

4

_

3

Step-by-step explanation:

The volume of the solid is approximately 649.3 cubic units.

To find the volume of the solid formed by revolving the region bounded by the curve y = √(49 - x^2) and the x-axis about the y-axis, we can use the method of cylindrical shells and evaluate the definite integral:

V = ∫[a,b] 2πx f(x) dx

where a = -7 and b = 7, since the curve is symmetric about the y-axis and goes from -7 to 7.

First, we need to solve for x in terms of y to get the function f(x):

y = √(49 - x^2)

y^2 = 49 - x^2

x^2 = 49 - y^2

x = ±√(49 - y^2)

Since the region is bounded below by the x-axis, the lower limit of integration is 0.

Thus, we have:

V = ∫[0,7] 2πx √(49 - x^2) dx

We can make the substitution u = 49 - x^2, du/dx = -2x, dx = -du/(2x), to get:

V = ∫[0,49] -π√u du

Using the power rule of integration, we get:

V = [-2/3π u^(3/2)]|[0,49]

V = -2/3π (49)^(3/2)

V ≈ 649.3

Therefore, the volume of the solid is approximately 649.3 cubic units.

Learn more about volume here

https://brainly.com/question/27710307

#SPJ11

Answer:

Step-by-step explanation:

Why?

Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.

For example, 5.6371...... x 0 = 0

Answer:

9,14,19

Step-by-step explanation:

You seem to be giving the expression 2n+3n+4.

Now simplify

An = 5n+4

Fill in n

5(1) +4

5(2) +4

5(3)+4

After solving and simplifying you see 9, 14 and 19 are the first 3 terms.

The correct answer is [b] ΔHGF and ΔABC.

In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.

Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.

According to the graph, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.

The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.

To know more about graph visit: https://brainly.com/question/17267403

#SPJ9

The capital includes :

Any financial contribution made to a business to assist in achieving and advancing its commercial goal is referred to as a capital investment. The phrase may also refer to a long-term purchase made by a company, such as one for land, equipment, businesses, etc.

When a corporation issues securities to equity investors and debt to bondholders, the total amount of debt and capital lease obligations are added to the amount of stock given to investors to determine the overall amount of money raised. This amount is referred to as invested capital. The balance sheet of the business does not include an item for invested capital because debt, capital leases, and stockholders' equity are all stated separately.

To learn more about the debt click here :

brainly.com/question/17286021

#SPJ4

Answer:

(A∩B)' = A'∪B'

Step-by-step explanation:

U is the universal set

A and B are two subsets of U

let A' be the complement subset of A

and  B' be the complement subset of B

U = {-10,-9,…,-1,0,1,…,9,10}

A = {-1,0,1}

B = {1,2,…,9,10}

Then

A∩B = {1}

Then

the complement of A∩B :

(A∩B)' = {-10,-9,…,-1,0,2,…,9,10}

(notice the absence of 1)

On the other hand,

A' = {-10,…,-2}∪{2,…,10}

B' = {-10,…,0}

Then

A'∪B' = {-10,-9,…,-1,0}∪{2,…,10}

         =  {-10,-9,…,-1,0,2,…,9,10}

Conclusion:

(A∩B)' = A'∪B'

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

Learn more about key combination

brainly.com/question/29034653

#SPJ11

Answer:

aerthmetic sequence formula

Formula:

an=a1+(n-1)d

Answer :

c....................

Step-by-step explanation:

Only Q4 has clear details

therefore, solving Question 4,

1 euro = $1.17

then,  €20.46 =20.46×1.17 = $23.93.

1 pound =1.28 dollars.

then,  £12.60 = 12.60×1.28 =$16.128

therefore, MP3 in pound is cheaper in dollar by $7.81.

Answer:

B.

Step-by-step explanation:

Dilation changes the size of the triangle but not the shape so the image is similar.

A, C and D creates congruent triangle.

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

Learn more on differentiation : https://brainly.com/question/25081524

#SPJ4

The maximum blood pressure occurs at a dosage of 10 cc, resulting in a blood pressure of 0.

To find the maximum blood pressure and the corresponding dosage, we analyze the given quadratic function B(x) = 400x² - 4000x.

The maximum blood pressure is represented by the vertex of the parabolic function.

Using the formula x = -b / (2a), we substitute the values a = 400 and b = -4000 to find x = 10. This implies that the maximum blood pressure occurs at a dosage of 10 cc. By substituting x = 10 into the function, we calculate B(10) = 400(10)² - 4000(10) = 40000 - 40000 = 0.

Therefore, the maximum blood pressure is 0, and it is attained at a dosage of 10 cc.

Learn more about Quadratic function click here :brainly.com/question/25841119

#SPJ11

The relationship between x and y is a strong negative relationship.

For this question, we need to determine the correlation coefficient,

Thus,

The correlation coefficient

= (21 - 5*6)/ \(\sqrt{9 * 10}\)

= -0.948

The above answer is too close to -1. Therefore correlation coefficient is a strong negative.

To determine more on correlation coefficient, use:

brainly.com/question/27226153

#SPJ4