In which direction must the graph of f(x)=2^x be shifted to produce the graph of g(x)=2 (x-7)?​

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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The complex plane, also known as the Argand plane, is a graphical representation of complex numbers in mathematics. It is a two-dimensional plane with the real axis representing the real part of a complex number and the imaginary axis representing its imaginary part.

1. The set of points in the complex plane that satisfy the relation |z-z1| = |z-z2| forms a circle with its center at the midpoint of z1 and z2, and with a radius equal to half the distance between z1 and z2.

2. The set of points in the complex plane that satisfies the relation 1/z = z forms a pair of lines that intersect at the origin, with slopes equal to 1 and -1. These lines divide the complex plane into four quadrants, and the set of points consists of the complex numbers that lie on the unit circle.

3. The set of points in the complex plane that satisfies the relation Re(z) = 3 forms a vertical line at x=3. All points on this line have the same real part, equal to 3.

4. The set of points in the complex plane that satisfies the relation Re(z) > c (respectively, >=c) forms a half-plane to the right (respectively, including) of the vertical line x=c. All points in this region have real parts greater than (respectively, greater than or equal to) c.

5. The set of points in the complex plane that satisfies the relation Re(az + b) > 0 forms a line that is the image of the real axis under the transformation az + b. The set of points consists of those complex numbers that lie to one side of this line.

6. The set of points in the complex plane that satisfy the relation |z| = Re(z) + 1 forms a hyperbola. The foci of the hyperbola are on the real axis, at x = -1 and x = 1.

7. The set of points in the complex plane that satisfies the relation Im(z) = c forms a horizontal line at y=c. All points on this line have the same imaginary part, equal to c.

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Answer:

Perimeter= 221, Area=

Step-by-step explanation:

Perimeter is always addition of all sides.

73+56+92=221

Area=

S= (a+b+c)/2

= (73+92+56)/2

=221/2

ar(triangle)= \(\sqrt{221(221-92)+221(221-73)+221(221-56)}\)

You can solve it from here :))

Given,

The expression of inequality is:

Required:

The graph of the inequality expression.

Simplifying the inequality expression,

The graph of inequality expression is:

Hence, the graph of the equation obtained.

Answer:

5/8 is the answer

Answer:

5/8

Step-by-step explanation:

7/8-3/4+1/2

write all numerators above LCD 8

7-6+4 all over 8

^^ = 5 and bring down our 8 so

7/8-3/4+1/2=5/8

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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The sound intensity at the position of the microphone is 35,000 W/m² and the sound intensity level at the position of the microphone is 125.45 dB.

Given: Sound power emitted = 35 W

Area of the microphone = 10 cm² = 0.001 m²

Distance of the microphone from the speaker = 40 in = 1.016 m

Sound intensity is given by the formula: I = P/A

where,I = Sound intensity

P = Sound power

A = Area of the surface on which sound falls

At the position of the microphone, sound intensity is given by,

I = P/A = 35/0.001 = 35,000 W/m²

The sound intensity level is given by the formula,

β = 10 log(I/I₀)

where,β = Sound intensity level

I₀ = Threshold of hearing = 1 × 10⁻¹² W/m²

Substituting the values,

β = 10 log(35,000/1 × 10⁻¹²) = 10 log(35 × 10¹²) = 10(12.545) = 125.45 dB

Hence, the sound intensity at the position of the microphone is 35,000 W/m² and the sound intensity level at the position of the microphone is 125.45 dB.

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Answer:

If a system of linear equations has no solution it is inconsistent. The graphs do not intersect so they are parallel

Step-by-step explanation:

Hope this helps.

We are given a force field f(x, y) = xi + 4yj and a path parameterized as x = t and y = t^3, with t ranging from 0 to 6. We need to find the work done by the force field on a particle moving along this path from (0, 0) to (6, 216).

To find the work done, we use the formula for work done by a force along a path: W = ∫C f · dr, where f represents the force field and dr represents the infinitesimal displacement along the path C. In this case, we substitute the given force field f(x, y) = xi + 4yj and the parameterized path x = t, y = t^3 into the work formula. We then evaluate the dot product f · dr and integrate it over the path C from t = 0 to t = 6. The dot product f · dr can be computed by taking the dot product of the force field vector and the differential displacement vector dr, which is given by dx i + dy j. By substituting the expressions for x, y, dx, and dy into the dot product, we can simplify the integrand and perform the integration. The resulting integral will give us the work done by the force field f along the given path from (0, 0) to (6, 216).

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Answer:

18x+y = y+18x

Step-by-step explanation:

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

y=3x+13; y=7x+17

Step: Solve y = 3x + 13 for y:

y=3x+13

Step: Substitute 3x + 13 for y in y = 7x + 17 :

y=7x+17

3x+13= 7x+17

3x+13+-7x=7x+17+-7x (Add -7x to both sides)

-4x+13=17

-4x+13+-13=17+-13 (Add -13 to both sides)

-4x=4

-4x/-4 = 4/-4 (Divide both sides by -4)

x=-1

Step: Substitute -1 for x in y=3x+13:

y=3x+13

y=(3)(-1)+13

y=10(simplify both sides of the equation)

Answer:

x= -1 and y= 10

(Hope this helped!)

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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Answer: the answer is y=-22x+86

here is why:

the slope is -22 which is the m --> y=mx+b the point is (4,-2) the x=4 and y= =2

If we set up the equation:

-2= -22(4)+86

-2= -88+86

-2= -2

Answer:

There's 6 ways the boats can line up for the parade.

Step-by-step explanation:

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Have an outstanding day!

The average North American city dweller uses an average of between 100 and 127 gallons of water on a daily basis.

The average North American city dweller uses an average of 100 to 127 gallons of water on a daily basis.

This figure includes water usage for various activities such as:

It's important to note that water usage can vary depending on factors such as personal habits, household size, and regional water conservation efforts.

The complete question is: The average North American city dweller uses an average of how many gallons of water on a daily basis?

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Answer:

y = 478x + 1,854

Step-by-step explanation:

Either det(a) = 0 or det(a) - 1 = 0. If det(a) = 0, then a is singular. If det(a) = 1, then the statement is proven.

Assuming that a is a square matrix of size n, we can prove the given statement as follows:

First, let's expand the definition of a2:

a2 = a · a

Taking the determinant of both sides, we get:

det(a2) = det(a · a)

Using the property of determinants that det(AB) = det(A) · det(B), we can write:

det(a2) = det(a) · det(a)

Since a and a2 are both square matrices of the same size, they have the same determinant. Therefore, we can also write:

det(a2) = (det(a))2

Substituting this expression into the previous equation, we get:

(det(a))2 = det(a) · det(a)

This can be simplified to:

(det(a))2 - det(a) · det(a) = 0

Factoring out det(a), we get:

det(a) · (det(a) - 1) = 0

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The matrix a is non-singular matrix because it has an inverse and |a| = 1

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

a² = a

For a matrix to be singular, it means that

The matrix has no inverse

This cannot be determined for a² = a because the determinant cannot be concluded directly

If |a| = 1, then the matrix has an inverse

Recall that

a² = a

So, we have

|a²| = |a|

Expand

|a|² = |a|

Divide both sides by |a| because a is non-singular

So, we have

|a| = 1

Hence, we have proven that |a| = 1

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Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Answer:

Step-by-step explanation:

If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is

d = 2q

That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is

.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25

Subbing the first equation into the second gives us

.1(2q) + .25q = 2.70 and

.2q + .25q = 2.70 and

.45q = 2.70 so

q = 6

This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.

He has 6 quarters and 12 dimes

The variable or factors that the unknown function depends on are referred to as the independent variables.

Everything that track in the study and what is impacted by it are both considered dependent variables. Depending on the independent variable, the dependent variable will change. Because it "depends" on the independent variable, it is known as a dependent variable. The dependent variable on other measurable variables As a result of an experimental modification of the independent variable or variables, these variables should change.

The amount of study one did, how much sleep one got the night before the test, or even how hungry he or she were can all affect your test result, which makes it a dependent variable. As an example, the test score might be a dependent variable.

Differential equations that have a constant power of one are known as linear differential equations.

A linear ordinary differential equation is what the given differential equation is.

The highest derivative that appears in the connection determines the order of a differential equation.

Consequently, the differential equation has an order of 1.

The variable or factors that the unknown function depends on are referred to as the independent variables.

As a result, in the above differential equation, t is independent and p is dependent variable.

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The complete question is as follows:

Based on the table, in every two additional tangerines, there is an additional 80 calories added to it as well.

Hence, at 10 tangerines, there will be 320 + 80 = 400 calories.

Based on the choices:

a. 10 x 20 = 200

b. 10 x 40 = 400

c. 80 + 320 = 400

d. 160 + 240 = 400.

Therefore, it is Option A that does not show a way to find the number of calories in 10 tangerines.

answer,,

18

27

36

45

54

63

72

81

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Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

Given:-

To find the resultant value of the sum of the equation.

The area of the largest square that can fit into the remaining space is 1 inch x 1 inch = 1 square inch.

When one-inch squares are cut from the corners of an inch square, the resulting shape is a square with sides that measure (1 inch - 2 1 inch) = (1 - 2) inches = -1 inch. However, this result is illogical because a square cannot have a negative length.

Assume the problem is about cutting one-inch squares from each corner of a 3-inch square, resulting in a square with sides that are 3 - 2 = 1 inch long. In this case, the largest square that can fit into the remaining space is one with sides equal to the length of the remaining square, i.e., one with sides of length one inch.

Consider inserting a square with sides greater than 1 inch into the remaining space to see why this is the case. The square will either hang over the remaining square's edges or will not fit in it. As a result, the largest square that can fit into the remaining space has sides equal to the remaining square's length, which is 1 inch.

As a result, the area of the largest square that can fit into the remaining space is 1 inch x 1 inch = 1 square inch.

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Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

The parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

The circle C of radius 8, centered at the origin, parametrization for C inducing a counterclockwise orientation and starting at (8, 0). c(t) :0 ≤ t ≤ 2π,

a) equation of the circle is x² + y² = 64.

starting point it (80) and orientation Counterclockwise.

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

b) Starting point is (0,8) and orientation is clockwise

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

c) equation of circle is (x-4)²+ (4-2)² - 64

For counterclockwise orientation

C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

Therefore, the parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

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b =(17,6x 8,9):19,7=7,95

a. False. Any set of n linearly independent vectors in Rn is a basis for Rn, not R". b. True. c. True. d. True. e. True. The set of all solutions of a system of homogeneous equations forms a subspace of the corresponding vector space, in this case Rn.

a. This statement is false. Any set of n linearly independent vectors in Rn is a basis for Rn, not R". For example, a set of linearly independent vectors in R3 can form a basis for R3, but not for R4.

b. This statement is true. The column space of an m x n matrix A is a subspace of Rm, consisting of all possible linear combinations of the columns of A.

c. This statement is also true. The null space of an m x n matrix A is a subspace of Rn, consisting of all possible solutions to the equation Ax = 0.

d. This statement is true. The pivot columns of the echelon form of a matrix A form a basis for the column space of A.

e. This statement is true. The set of all solutions of a system of homogeneous equations in n unknowns forms a subspace of Rn, called the null space or kernel of the corresponding matrix.

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Complete question is in the image atatched below