What is the inverse function calculator?

Answer:

The answer is C. HOPE THIS HELPS!

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IT WOULD REALLY REALLY HELP ME!

The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.

We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:

area = length * width

So we can write an equation for the area of the rectangle in terms of "x":

242 = 2x * x

Simplifying this equation, we get:

242 = 2x²

Dividing both sides by 2, we get:

121 = x²

Taking the square root of both sides, we get:

11 = x

So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.

To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:

perimeter = 2 * length + 2 * width

Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:

Perimeter = 2 * length + 2 * width

Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

To know more about area:

https://brainly.com/question/20693059

#SPJ4

Answer:

The system of equations is y = x + 3 and 800x + 1300y = 12300 where x represents the number of associates assigned and y represents the number of partners assigned.

Step-by-step explanation:

Let,

x be the number of associates assigned

y be the number of partners assigned

According to given statement;

y = x + 3    

800x + 1300y = 12300

Hence,

The system of equations is y = x + 3 and 800x + 1300y = 12300 where x represents the number of associates assigned and y represents the number of partners assigned.

Answer:

eq 1

800x+1300y=12300

eq 2

y= x+3

The value of p(a) is 0.5

Mutually exclusive events are those events that do not occur at the same time

Given,

The a and b are mutually exclusive events

P(a AND b)=0

P(a)=0.48

p(a or b)=0.98

We know that,

P(a or b)=P(a)+P(b)-P(a AND b)

P(a or b)=P(a)+P(b)-0

P(a or b)=P(a)+P(b)

P(a)=P(a or b)-P(b)

Substitute the given values

P(a)= 0.98-0.48

P(a)=0.5

Hence, the value of P(a) is 0.5

Learn more about Mutually exclusive events here

brainly.com/question/5492865

#SPJ4

Answer:

Step-by-step explanation:

Two angles are called complementary when their sum is 90º. In the figure, the α and β angles together form a right angle. Two angles are called supplementary when their sum is 180º. In the figure, the α and β angles together form a straight angle.

Thanks!

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

Learn more about charge here:-

https://brainly.com/question/29017802

#SPJ11

Answer:

\(\boxed{\boxed{\sf~a_6=23}}\)

Solution Steps:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term. In other words, \(a_n=a_1+d(n-1)\).

Arithmetic Sequence: \(d=5\)

Find the next term using the Arithmetic Sequence.

Arithmetic Sequence: \(a_6=a_5+5\)

\(a_6=18+5=23\)

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

For such more questions on value

https://brainly.com/question/843074

#SPJ8

The margin error is given by:

n=200

Thus, we have:

.13 can be expressed in the form of percentage as 13%.

In order to convert numbers in decimal into percentage we only need to multiply the given number with 100 and after multiplying the number with hundred it can be written in percentage form. Like in the question given number is 0.13 and we need to express this in form of percentage. So in order to express this number in percentage we just multiply it with 100 which will be equal to 13% i.e

0.13 x 100 = 13%

By multiplying a decimal value by 100 and adding the percentage (%) sign, you can turn a decimal value into a percentage. A decimal multiplied moves the decimal point two places to the right.

To know more about conversion of Decimal into Percentage,click here :

 https://brainly.com/question/1747660

#SPJ4

Answer:

#3- a^2 +2ab +b^2

#4- a^2 -b^2

Step-by-step explanation:

The answer to the given problem is Relative maximum

(x, y) = `(-1, -1)` relative minimum (x, y) = `(1, 3).

Given function is `g(x) = x² + 2/x`.

To find the relative maxima and minima of the given function g(x),

we will use the first and second derivative tests as follows.

First derivative test:

`f′(x) = 2x – 2/x²`

The critical points of g(x) are the roots of the derivative:

`f′(x) = 2x – 2/x² = 0

We will multiply the equation by `x²` to clear out the fraction:`

2x³ – 2 = 0`Therefore, `x³ = 1`.

That is, the critical values of x are: `

x = 1, -1, 0`.

So the critical points are:

`(0,0), (1,3), (-1, -1)`.

We will now compute the second derivative of g(x):`

f″(x) = 2 + 4/x³`

Second derivative test:

We need to determine the sign of the second

derivative near each critical point.

Then, the conclusions are:

If `f″(x) > 0`, then `f(x)` has a relative minimum at x.

If `f″(x) < 0`, then `f(x)` has a relative maximum at x.

If `f″(x) = 0`, then we cannot make a conclusion.

The second derivative at `x = 0` is positive:

`f″(0) = 2 + 4/0³ = undefined.`

So, `f(x)` has no relative extreme at x = 0.

The second derivative at `x = 1` is: `f″(1) = 2 + 4/1³ = 6 > 0`.

Therefore, `f(x)` has a relative minimum at x = 1.

The coordinates of this relative minimum are:

Relative minimum (x, y) = `(1,3)`.

The second derivative at `x = -1` is: `f″(-1) = 2 + 4/(-1)³ = -6 < 0`.

Therefore, `f(x)` has a relative maximum at x = -1.

The coordinates of this relative maximum are:

Relative maximum (x, y) = (-1, -1).

So, we have Relative maximum (x, y) = `(-1, -1)`

and Relative minimum (x, y) = (1, 3).

Hence, the answer to the given problem is Relative maximum

(x, y) = `(-1, -1)` relative minimum (x, y) = `(1, 3).

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

The result of applying the square root property of equality to this equation is x = (-b ± √(b² - 4ac)) / (2a)

If we apply the square root property of equality to the equation (x + (b/2a))² = (-4ac + b²)/(4a²), we get:

x + (b/2a) = ±√[(-4ac + b²)/(4a²)]

Next, we can simplify the expression under the square root:

√[(-4ac + b²)/(4a²)] = √(-4ac + b²)/2a

Now, we can substitute this expression back into our original equation:

x + (b/2a) = ±√(-4ac + b²)/2a

Finally, we can isolate x by subtracting (b/2a) from both sides:

x = (-b ± √(b² - 4ac)) / (2a)

This is the quadratic formula, which gives us the solutions for the quadratic equation ax² + bx + c = 0. By completing the square, we have derived this formula from the original quadratic equation.

To learn more about quadratic formula click on,

https://brainly.com/question/16601208

#SPJ4

Complete question is:

In the derivation of the quadratic formula by completing the square, the equation (x+ (b/2a))² =(-4ac+b²)/(4a²) is created by forming a perfect square trinomial What is the result of applying the square root property of equality to this equation?

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

Read more on product of numbers here : https://brainly.com/question/25301924

#SPJ1

Answer:

18°

Step-by-step explanation:

sin 2x=cos zy

m(2x)=72°

cos(π/2-a)=sin a

cos(π/2-72°)=sin72°

cos18°=sin72°

=>m(zy)=18°

Answer:

Converse of the Alternate Exterior Angles Theorem.

Step-by-step explanation:

The alternate exterior angles theorem explains that "if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent." Judging from the fact that the problem is including <1 and <8, we can safely assume that it is including this theorem since both of said angles are on the exteriors of the pair of parallel lines. Not to mention that this principle also effectively proves that both lines are parallel to each other, thus proving this sentence true.

Answer:

x = y - 5

Step-by-step explanation:

Given

y = x + 5 ( isolate x by subtracting 5 from both sides )

y - 5 = x

Answer:

x = y - 5

Step-by-step explanation:

y = x + 5

subtract 5 left and right of the = sign , which gives you the answer.

y - 5 = x + 5 - 5

+5 - 5 = 0 so...

y - 5 = x

re arrange and voila!

x = y - 5

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

To know more about  Engineers click here

brainly.com/question/30592664

#SPJ11

Using the definition of covariance, Cov(Y(1)Y(2))= 0. From the given information the two variables Y(1), and Y(2), are dependent and, p(y(1)y(2)) ≠ P(y(1))p(y(2)). So, it can be concluded that Uncorrelated variables need not be independent.

Given joint probability function of Y(1) and Y(2), is

p(Y(1)*Y(2)) = 1/3, for (y(1)*y(2)) = (- 1, 0), (0, 1), (1, 0)

So Y(1), takes random variable -1,0,1.

And Y(2) takes random variable 0,1.

Y(2)|Y(1)      -1               0             1

0                  1/3            0             1/3

1                   0               1/3           0

From the table:

The marginal probability function of Y(1) is;

P(Y(1)=y(1)) = ∑P(Y(1)=y(1)), y(1)= -1,0,1. That is;

Y(1)=y(1)                      -1                   0               1

P(Y(1)=y(1))                  1/3                 1/3             1/3

From the definition of expectation,

E[y(1)]= \(\Sigma_{y_{1}}\) y(1)P(Y(1)=y(1))

E[y(1)]= -1(1/3)+0(1/3)+1(1/3)

E[y(1)]= -1/3+0+1/3

E[y(1)]= 0

The marginal probability mass function of y(2) is

P(Y(2)=y(2)) = ∑P(y(1)y(2)), y(2)= 0,1. That is;

Y(2)=y(2)                    0               1

\(P_{Y(2)}\)(y(2))                  2/3             1/3

Now E[y(2)]= \(\Sigma_{y_{2}}\) y(2)P(Y(2)=y(2))

E[y(2)]= 0(2/3)+1(1/3)

E[y(2)]= 1/3

And

E[y(1)y(2)]= \(\Sigma_{y_{1}}\Sigma_{y_{2}}\) y(1)y(2)P(y(1)y(2))

E[y(1)y(2)]= -1(0)(1/3)+0(1)(1/3)+1(0)(1/3)

E[y(1)y(2)]= 0

From the definition of covariance.

The Cov(Y(1)Y(2))= E[Y(1)Y(2)]-E[Y(1)E[Y(2)]

Cov(Y(1)Y(2))= 0-1/3 (0)

Cov(Y(1)Y(2))= 0

The Cov(Y(1)Y(2))=0, implies that the two variables are uncorrelated. But from the given information the two variables Y(1), and Y(2), are dependent and, p(y(1)y(2)) ≠ P(y(1))p(y(2))

Hence, it can be concluded that Uncorrelated variables need not be independent.

To learn more about definition of covariance link is here

brainly.com/question/28135424

#SPJ4

Answer:

The answer is 10

Step-by-step explanation:

Because 10 times 3 is 30. and 30 +46 is 76. Then you add 14 and that gets you 90 degrees

Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

Answer:

The equation that has a vertex in (0, -5) is the first one.

Step-by-step explanation:

A standard form second degree equation is given by the following expression:

\(y(x) = a*x^2 + b*x + c\)

For which the vertex coordinates can be calculated by:

\(x_{vertex} = -\frac{b}{2*a}\)

While "y" for the vertex can be found by applying this coordinate on the expression. Using this knowledge in each equation gives us:

1. \(y(x) = x^2 - 5\)

\(a = 1\\b = 0\\c = -5\)

Therefore the vertex coordinate is:

\(x_{vertex} = -\frac{b}{2*a} = -\frac{0}{2*1} = 0\)

\(y_{vertex} = 0^2 - 5 = -5\)

This parabola has a vertex in (0,-5).

2. \(y(x) = x^2 + 5\)

\(a = 1\\b = 0\\c = 5\)

Therefore the vertex coordinate is:

\(x_{vertex} = -\frac{b}{2*a} = -\frac{0}{2*1} = 0\)

\(y_{vertex} = 0^2 + 5 = 5\)

This parabola has a vertex in (0,5).

3. \(y(x) =(x+ 5)^2 = x^2 + 10*x + 25\)

\(a = 1\\b = 10\\c = 25\)

Therefore the vertex coordinate is:

\(x_{vertex} = -\frac{b}{2*a} = -\frac{10}{2*1} = -5\)

\(y_{vertex} = (-5)^2 + 10*(-5) + 25 = 0\)

This parabola has a vertex in (-5,0).

4. \(y(x) =(x- 5)^2 = x^2 - 10*x + 25\)

\(a = 1\\b =- 10\\c = 25\)

Therefore the vertex coordinate is:

\(x_{vertex} = -\frac{b}{2*a} = -\frac{-10}{2*1} = 5\)

\(y_{vertex} = (5)^2 - 10*(5) + 25 = 0\)

This parabola has a vertex in (5,0).

The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.

A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).

Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.

To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

For more questions on verbal expressions, click on:

https://brainly.com/question/29977271

#SPJ8

In Boolean algebra, the variables can only take the values 0 or 1. We can test all possible combinations of x and y to find which ones satisfy the equation xy = x + y: x + xy = x, proving the absorption law.

1. What values of the Boolean variables x and y satisfy xy=x+y?

In Boolean algebra, the variables can only take the values 0 or 1. We can test all possible combinations of x and y to find which ones satisfy the equation xy = x + y:

a) x = 0, y = 0:
0 * 0 = 0 + 0
0 = 0
True

b) x = 0, y = 1:
0 * 1 = 0 + 1
0 = 1
False

c) x = 1, y = 0:
1 * 0 = 1 + 0
0 = 1
False

d) x = 1, y = 1:
1 * 1 = 1 + 1
1 = 2
False

So, the only values of the Boolean variables x and y that satisfy xy = x + y are x = 0 and y = 0.

2. Prove the absorption law x + xy = x using the other laws in Table 5.

We can prove the absorption law by using the distributive law and the identity law:

x + xy = x * (1 + y)   (Applying distributive law: a(b + c) = ab + ac)

Now, using the identity law (a + 1 = 1), we have:

x * (1 + y) = x * 1

Finally, using the identity law (a * 1 = a) again:

x * 1 = x

Therefore, x + xy = x, proving the absorption law.

to learn more about Boolean algebra click here:

https://brainly.com/question/5999541

#SPJ11

Answer:

72pi cubic inches.

Step-by-step explanation:

area = pi r²

r = d / 2

r = 3

3² = 9

9pi x 8 = 72pi.

(a) Basis for the column space: {[2, 7, -2, 2], [-3, -6, 1, -2]}

(b) Rank of the matrix: 2

To find a basis for the column space and the rank of the matrix, we need to perform row operations on the matrix and find the pivot columns. The pivot columns will form a basis for the column space, and the number of pivot columns will give us the rank of the matrix.

Let's perform row operations on the given matrix to reduce it to row-echelon form:

[2  4  -3  -6]

[7  14 -6  -3]

[-2 -4  1   -2]

[2  4  -2  -2]

R2 = R2 - 3*R1

R3 = R3 + R1

R4 = R4 - R1

This gives us:

[2  4  -3  -6]

[1  2  3   3 ]

[0  0  -2  -8]

[0  0  1   4 ]

R3 = (-1/2) * R3

R4 = R4 - (1/2) * R3

[2  4  -3  -6]

[1  2  3   3 ]

[0  0  1   4 ]

[0  0  0   0 ]

Now, we can see that the columns with pivots (leading 1's) are the first and third columns. Therefore, a basis for the column space consists of these two columns:

Basis for column space: [2, 7, -2, 2] and [-3, -6, 1, -2]

The rank of the matrix is the number of pivot columns, which is 2.

Therefore,

(a) a basis for the column space: {[2, 7, -2, 2], [-3, -6, 1, -2]}

(b) the rank of the matrix: 2

Learn more about (a) Basis for the column space: {[2, 7, -2, 2], [-3, -6, 1, -2]}  (b) Rank of the matrix: 2

brainly.com/question/31061677

#SPJ11

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

Answer with Step-by-step explanation:

The angle in the picture isnt clear so i am gonna assume what it looks like to me

1

a=54(Vertically opposite angles)

a=b(Alternate interior angles)

b=c(Vertically opposite angles)

2

d=65(Corresponding angles)

d=x(Vertically opposite angles)

x=b(Corresponding angles)

b+a=180(Co-interior angles)

a=115

3.

a=54(Alternate interior angles)

a+x+x=180[Angles in a straight line]

x=63

a+x=b(Corresponding angles)

b=117