The price-demand equation for hamburgers at Yaster's Burgers is
x+ 397 p = 2,989,
where p is the price of a hamburger in dollars and x is the number of hamburgers demanded at that price.
Use this information to answer questions below.
Part 1:
What price will maximize the revenue for Yaster's? Round to the nearest cent.
$ per hamburger
Part 2:
If the current price of a hamburger at Yaster's Burgers is $3.25, will a 7% price increase cause revenue to 1. increase or 2. decrease? Enter 1 or 2.
Part 3:
If the current price of a hamburger at Yaster's Burgers is $4.81, will a 4% price increase cause revenue to 1. increase or 2. decrease? Enter 1 or 2.

Using the properties of rational exponents, the value of y is 7/3.

Solve the equation using the properties of rational exponents. We are given the equation: (x^(4/3))^2 / x^(1/3) = x^y, and we need to find the value of y.

Step 1: Apply the power rule of exponents to (x^(4/3))^2.
The power rule states that (a^m)^n = a^(m*n).

So, in our case, (x^(4/3))^2 = x^((4/3)*2) = x^(8/3).

Step 2: Rewrite the equation with the result from step 1.
Now, our equation is x^(8/3) / x^(1/3) = x^y.

Step 3: Apply the quotient rule of exponents.
The quotient rule states that a^m / a^n = a^(m-n).

In our case, x^(8/3) / x^(1/3) = x^((8/3) - (1/3)) = x^(7/3).

Step 4: Compare the resulting expression to x^y.
Now our equation is x^(7/3) = x^y.

Since the bases (x) are the same, we can conclude that the exponents must be equal. Therefore, y = 7/3.

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The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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Answer:

okay sweet heart it is right good job

Answer: 42

Step-by-step explanation: you have to add 9 18 and 15.

Answer:

136

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

90+46

Answer: 4 P

Step-by-step explanation: hope this helps!

The solution of the given expression 3p+2p-p will be 4P.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given expression is 3p+2p-p. The expression will be simplified as:-

E = 3p+2p-p

Add the values 3p and 2p first.

E = 5p - p

Subtract p form 5p.

E = 4p

Therefore, the solution of the given expression 3p+2p-p will be 4P.

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Answer:

$72. 10

Step-by-step explanation:

I think

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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dependant variable: distance in meters

independant variable: time in seconds

i hope i helped.

The dependant variable are the distance in meters, and the independant variable are the time in seconds.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable. The variables who take their values based on some other variables' values are called dependent variables.

Given Distance to travel = 20 m.

We need to determine the time, t, that each participant took to complete 20 m.

Barbara:

Average speed = (3 m)/(2 s)

= 1.5 m/s

Time = t = 20/1.5 = 13.3 s

Mark;

t =  5 s

Carlos;

y = x + 1

where, y = 20 m and x = time, t

Therefore,

t =x = y - 1 = 20 - 1 = 19 s

Summary;

Barbara:  13.3 s

Mark:       5 s

Carlos:     19 s

Hence, The winner is Mark.

The dependant variable are the distance in meters, and the independant variable are the time in seconds.

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Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Answer:

Step-by-step explanation:

Seven less than the product of a number n and 1/6 is no more than 94, translating:

Solving for n:

The rate of change of the area of the square when the side length is 8 inches and the side length is increasing at a rate of 14 inches per minute is 224 square inches per minute.

To find the rate of change of the area of the square, we need to use the formula for the area of a square:

A = s^2

where A is the area of the square and s is the length of the side of the square.

To find the rate of change of the area, we need to take the derivative of this formula with respect to time:

dA/dt = 2s(ds/dt)

where dA/dt is the rate of change of the area, ds/dt is the rate of change of the side length, and s is the side length of the square.

Since the side length is increasing at a rate of 14 inches per minute, we can substitute ds/dt = 14 into the above equation, and we are given that the side length is 8 inches, so we can substitute s = 8.

dA/dt = 2s(ds/dt)

dA/dt = 2(8)(14)

dA/dt = 224

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Answer: \(4x-3\)

Step-by-step explanation:

For any function f(x), you will substitute the value of x into the given function. For instance, f(x) = 2x+3. The value substituted in was the original variable, x. However, if x=2, then f(2) = 2(2)+3 = 4+3 = 7. This still applies even if the given x is another function, such as x+2. So for the given function f(x) = 4x-11, f(x+2) = 4(x+2)-11. This simplifies to 4x+8-11, which simplifies to 4x-3.

To find the solution for this system in a graph manner we need to graph both equations and look for the point at which they intercept.

For the first equation we know that the y-intercept is 4. So we will calculate the x-intercept by making y=0.

The first line goes through the points (0,4) and (4/3, 0).

For the second equation we know that the y-intercept is -2. So we will calculate the x-intercept by making y-.

The second line goes through the points (0,-2) and (2/3,0).

To graph each line we can draw a line between the points that belong to it. We have:

Since the solution for the system is the point at which they cross, the ordered pair is (1,1).

The proof that ΔLPS ≅ Δ MNR is given as follows:

The Side-Angle-Side (SAS) postulate is a rule used in geometry to determine if two triangles are congruent.

It states that if two sides and the angle between them in one triangle are congruent to two sides and the included angle in another triangle, then the triangles are congruent.

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Answer:

its 2x(2x+1)(2x-1) the last choice

Step-by-step explanation:

1. The modal number of pairs of shoes owned by the children is 3.

2. The median number of pairs of shoes owned by the children is 3.

3. The Mean is 3.

1. The modal number of pairs of shoes owned by the children is 3.

2. The median number of pairs of shoes owned by the children

= 14/2 th term

= 7 th term

= 3

3. The Mean

= (1 x 2+ 2 x 3+ 3 x 5+ 4 x 2 + 5 x 1+ 6x 1)/ (2 +3 +5 +2 + 1 +1)

= 42/14

= 3

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The measure for the unknown angle is 65 degrees.

The two perpendicular lines form a right angle. A right angle would always have a value of 90 degrees.

In order to determine the unknown angle, subtract 25 degrees from 90 degrees.

90 - 25 = 65 degrees

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The orders of the rotation groups of a regular tetrahedron, octahedron, dodecahedron, and icosahedron are 12, 24, 60, and 120, respectively.

The order of a group is the number of elements in that group. In the case of rotational symmetry groups, the order corresponds to the number of distinct rotations that leave the object invariant. A regular polyhedron is an object with all its faces congruent and all its vertices identical. The rotation groups of regular polyhedra are finite subgroups of the group of Euclidean isometries (rigid motions) in three dimensions.

A regular tetrahedron has four identical vertices and four identical equilateral triangle faces. Its rotation group is isomorphic to the alternating group on four elements (A4), which has 12 elements. This group can be generated by a single rotation of order 3 (which permutes the vertices) and a single rotation of order 2 (which exchanges opposite edges).

A regular octahedron has six identical vertices and eight identical equilateral triangle faces. Its rotation group is isomorphic to the symmetric group on four elements (S4), which has 24 elements. This group can be generated by a single rotation of order 4 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).

A regular dodecahedron has 20 identical vertices and 12 identical regular pentagon faces. Its rotation group is isomorphic to the alternating group on five elements (A5), which has 60 elements. This group can be generated by a single rotation of order 5 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).

A regular icosahedron has 12 identical vertices and 20 identical equilateral triangle faces. Its rotation group is isomorphic to the alternating group on five elements (A5), which has 120 elements. This group can be generated by a single rotation of order 5 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).

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Step-by-step explanation:

URGENTLY!!

higher mathematics

Solve the system of equations by Cramer's method.

For the correct execution of the task I give 25 points!

Answer:

D

Step-by-step explanation:

The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

The procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm is option C.

Knowing that 3^2 +4^2 = 5^2, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.

The Pythagorean Theorem is a relationship that exists between the sides of a right triangle, which is a triangle with one interior angle of 90 degrees. According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Converse of the Pythagorean Theorem is an inverse statement that implies that if a triangle's sides satisfy the relationship described in the Pythagorean Theorem, then the triangle is a right triangle.

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The inequality that is true is Negative 2 and three-fourths less-than negative 1 and one-half.

The first inequality from the number line can be shown to be :

( 1 / 4 ) < - 1 1 / 2

This is not possible as a negative cannot be larger than a positive.

The second inequality is:

- 2. 75 < - 1. 5

This is true as larger negative numbers are lower than smaller negative numbers.

The third inequality is:

- 2. 25 > - 1. 25

This is not possible for the reason explained.

In conclusion, option B is correct.

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Answer:

Brett is correct. The expression 12y + 7y can be simplified to 19y by combining the like terms 12y and 7y. The resulting expression 19y is equivalent to the original expression 12y + 7y.

the BEST statement is: The serving costs about 40 cents.

To determine the cost of the optimal serving, we need to calculate the cost per serving based on the quantities of chicken and tomatoes used.

Given that an optimal serving contains 0.89 ounces of chicken and 0.52 ounces of tomatoes, we can calculate the cost as follows:

Cost of chicken =\(0.89 ounces * $0.40/ounce\)

Cost of tomatoes = \(0.52 ounces * $0.08/ounce\)

Total cost = Cost of chicken + Cost of tomatoes

Total cost =\((0.89 * $0.40) + (0.52 * $0.08)\)

Total cost =\($0.356 + $0.0416\)

Total cost ≈\($0.3976\)

Rounding to the nearest cent, the cost of the optimal serving is about 40 cents.

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