A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p = 600 - 1x and C(x) = -20,000 + 135x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce _______ phones each week at a price of $_______. The maximum weekly revenue is $ _______. (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce _______ phones each week at a price of $ _______. The maximum weekly profit is $ _______.

According to the given dot plot there are 18 students in the class.

3. From the given dot plot, we can see there are 18 students in the class.

4. In the class there are 18 students, survey is done on what kind of music each student like and what kind of Music CDs each student brought.

Therefore, according to the given dot plot there are 18 students in the class.

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Answer:

30 + 12.5x >= 135

X >= 8.4 points

Step-by-step explanation:

30 + 12.5x > = ( more or equal) 135

12.5x >= 135 - 30

12.5x >= 105

X >= 105/12.5

X >= 8.4

The inequality that determines the number of visits Nevaeh can make to earn her first free movie ticket.

30 + 12.5v ≥ 135

The number of visits must be 9 or greater.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Signing up rewards points = 30

Points for each visit = 12.5

Minimum points required for a free movie ticket = 135

Let the number of visits = v

Now,

The inequality that determines the number of visits Nevaeh can make to earn her first free movie ticket.

30 + 12.5v ≥ 135

Solve for v.

30 + 12.5v ≥ 135

12.5v ≥ 135 - 30

12.5v ≥ 105

v ≥ 105/12.5

v ≥ 8.4

This means that,

The number of visits must be greater than or equal to 9.

We can cross-check.

30 + 12.5 x 9

30 + 112.5

142.5

Thus,

The inequality that determines the number of visits Nevaeh can make to earn her first free movie ticket.

30 + 12.5v ≥ 135

The number of visits must be 9 or greater.

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Answer:

119 mi^2

Step-by-step explanation:

Let's split this up into three shapes: Three rectangles stacked on top of each other.

The first rectangle is 8 by 4, which is 32 mi^2.

The second rectangle's width is 8 - 2 - 2. This is 4. 4 times 6 is 24 mi^2.

The third rectangle is 7 by 3 + 4 (we know it's 4 because of previous step) + 2. This means the third rectangle is 7 by 9, which is 63 mi^2.

When you add 32, 24, and 63, you get 119 mi^2.

Answer:

Polynomial multiplication is a process for multiplying together two or more polynomials.

Answer:

708

Step-by-step explanation:

Using trig we know that tan of an angle is equal to opposite/adjacent, using this we can conclude that tan(42)=top half of x/518 so we do tan(42)*518 to find the side of the top triangle and then do the same process for the bottom one but instead of using tan(42) you use tan(25)

The proposal during the Constitutional Convention that created a House proportionate to population along with a Senate in which all states were represented equally was called the Great Compromise.

The Great Compromise, also known as the Connecticut Compromise, was a pivotal agreement reached during the Constitutional Convention of 1787. It was proposed by Roger Sherman and Oliver Ellsworth of Connecticut. The compromise aimed to resolve the debate between the large and small states over the representation in the newly formed legislative body.

The compromise suggested a bicameral legislature consisting of two chambers: the House of Representatives and the Senate. The House would be proportionate to the population of each state, ensuring that more populous states had more representatives. On the other hand, the Senate would provide equal representation for all states, regardless of their size or population.

This compromise struck a delicate balance between the interests of large and small states, ensuring that both had a say in the legislative process. It ultimately became a key component of the United States Constitution, shaping the structure of the American government and fostering the principle of federalism.

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This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

Given equation is 2(x − 4)2 + (y − 8)2 + (z − 7)2 = 10, and point is (5, 10, 9).

(a) To find the tangent plane, we need to first find the partial derivatives of the given equation in terms of x, y and z

∂f/∂x = 4(x - 4)

∂f/∂y = 2(y - 8)

∂f/∂z = 2(z - 7)

Now, we need to plug in the values of the point (5, 10, 9) in the above partial derivatives to get the gradient vector

∇f(5, 10, 9) = < 4(1), 2(2), 2(2) > = < 4, 4, 2 >

Hence, the equation of the tangent plane is4(x - 5) + 4(y - 10) + 2(z - 9) = 0

Simplifying further, we get4x + 4y + 2z = 42

(b) To find the equation of the normal line, we know that the direction of the normal line is along the gradient vector of the given equation at the given pointHence, the equation of the normal line can be written as

(x, y, z) = (5, 10, 9) + t < 4, 4, 2 >

Multiplying with t, we get

x = 5 + 4ty = 10 + 4tz = 9 + 2t

(x(t), y(t), z(t)) = (5 + 4t, 10 + 4t, 9 + 2t)

Thus, the required equations are 4x + 4y + 2z = 42 and (x(t), y(t), z(t)) = (5 + 4t, 10 + 4t, 9 + 2t) for the tangent plane and normal line respectively.

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The payans' monthly mortgage payment is c) $1,135.17.

To calculate the Payans' monthly mortgage payment using the provided formula, you will need to plug in the values for the variables: M, p, r, and t.

M = monthly payment

p = principal (the amount of the mortgage, which is $400,000)

r = interest rate (4.3% APR, expressed as a decimal by dividing by 100: 0.043)

t = number of years (30)

Plugging these values into the formula, we get:

M = $400,000 * (0.043/12) * (1 + 0.043/12) ^ (1230) / ((1 + 0.043/12) ^ (1230) - 1)

Simplifying this expression, we get:

M = $1,135.17

Therefore, the correct answer is c) $1,135.17.

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Answer:

10 meters

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(6^{2}\) + \(8^{2}\) = \(c^{2}\)

36 + 64 = \(c^{2}\)

100 = \(c^{2}\)

\(\sqrt{100}\) = \(\sqrt{c^{2} }\)

10 = c

On solving the provided question, we can say that - Area enclosed by the square and the circle= 400 - 314 = 86 ft sq

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

Side of the square =20feet

Therefore,

Radius of the inscribed circle= 20/2 = 10 feet

Area of square=20 X 20 = 400 feet sq.

Area of circle=\(\pi * r^{2} \\\pi * 10*10\\3.14*100\\314 ft sq\)

Area enclosed by the square and the circle= 400 - 314

                                                                           = 86 ft sq

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a. The ordered pairs in A×A, where A is the set {a, b, c}, can be listed as {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c)}.

b. The ordered pairs in A×B, where A is the set {a, b, c} and B is the set {a, b, d}, can be listed as {(a, a), (a, b), (a, d), (b, a), (b, b), (b, d), (c, a), (c, b), (c, d)}.

c. The set {(x, y) ∈ A×B: x = y} consists of the ordered pairs where the elements of A and B are the same, i.e., {(a, a), (b, b)}.

a. To find the ordered pairs in A×A, we take each element in set A and pair it with every other element in set A. In this case, A = {a, b, c}, so the resulting ordered pairs are {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c)}.

b. To find the ordered pairs in A×B, we take each element in set A and pair it with every element in set B. In this case, A = {a, b, c} and B = {a, b, d}, so the resulting ordered pairs are {(a, a), (a, b), (a, d), (b, a), (b, b), (b, d), (c, a), (c, b), (c, d)}.

c. The set {(x, y) ∈ A×B: x = y} consists of the ordered pairs where the elements of A and B are the same. In this case, the elements of A and B that are the same are 'a' and 'b'. Therefore, the set {(x, y) ∈ A×B: x = y} contains the ordered pairs {(a, a), (b, b)}.

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Answer: x = 2

\(8x=16\)   Original Equation

\(\frac{8x}{8}=\frac{16}{8}\)    Divide both sides by 8

\(x=2\)    Simplify

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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Answer: 0

Step-by-step explanation:

Since y is 2, and it’s being multiplied by 4, you have 8 - 8 which =0

Y=2

4(2) - 8

8-8

0

Answer:

0

Step-by-step explanation:

4y - 8

Given that,

y = 2

To find the value of given expression, replace y with 2 and solve the expression.

Let us solve it now.

4y - 8

4 × 2 - 8

8 - 8

0

Answer:

\(\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1\)

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

\(\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1\)

Answer:

\(\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1\)

Step-by-step explanation:

The comparison between the square root of one hundred sixty and one hundred sixteen ninths is √160>√116/9.

To compare the square roots of 160 and 116/9, follow these steps:

The comparison between the square root of one hundred sixty and one hundred sixteen ninths is √160>√116/9, which is also 12.65>3.59

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The coordinates of T" include the following: D. (8, 10).

In Mathematics and Geometry, the translation of a geometric figure upward means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image.

(x, y)                                                    →                  (x - 1, y + 3)

Coordinate T (5, 2)                             →                  T' (5 - 1, 2 + 3) = T' (4, 5).

Next, we would dilate the coordinates of the vertices by applying a scale factor of 2 that is centered at the origin as follows:

Coordinate T' (4, 5) → (4 × 2, 5 × 2) = Coordinate T" (8, 10).

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By far, the greatest number of radio and television hours are dedicated to entertainment programming.

Entertainment programming includes a wide range of content such as TV shows, movies, music, reality shows, game shows, sitcoms, dramas, sports events, and more. These types of programs are designed to entertain and engage audiences, providing them with enjoyable and often fictional or scripted content.

Entertainment programming attracts a large viewership and listenership as it caters to people's desire for relaxation, escape, and leisure. It offers a diverse array of genres and formats to cater to different interests and tastes, making it a popular choice for broadcasters and advertisers.

While news, educational programs, and documentaries also play important roles in radio and television, the sheer volume of entertainment programming surpasses other categories in terms of airtime. This is due to the high demand for entertainment and the role it plays in attracting audiences and generating revenue for broadcasters.

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Question might be incomplete or incorrect so we'd have to assume Mateo took apples

Answer:

5/189 apples

Step-by-step explanation:

If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples

If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378

Reduce to lowest terms to get 5/189 apples

Answer:

C

The others are irrational numbers. C can be a rational number.

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

Mark me as brainliest

Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

the equation of the tangent line to the function \(\(f(x) = 2 - e^x\)\)at the point\(\(a\)\)on the interval\(\([-1, 1]\) is \(y = -e^a x + e^a a + 2\).\)

To find the equation of the tangent line to the function \(\(f(x) = 2 - e^x\)\) at the point\(\(a\)\) on the interval \(\([-1, 1]\),\)we need to calculate the slope of the tangent line and use the point-slope form of a linear equation.

1. Calculate the derivative of the function \(\(f(x)\)\)using the power rule and exponential rule:

\(\[f'(x) = -e^x\]\)

2. Evaluate the derivative at the point \(\(a\)\) to find the slope of the tangent line:

\(\[m = f'(a) = -e^a\]\)

3. Use the point-slope form of a linear equation with the point \((a, f(a))\) and the slope \(m\) to write the equation of the tangent line:

 \(\[y - f(a) = m(x - a)\]\)

  Substituting the values of \(\(f(a)\)\) and \(\(m\)\):

 \(\[y - (2 - e^a) = -e^a(x - a)\]\)

  Simplifying:

\(\[y = -e^a x + e^a a + (2 - e^a)\]\)

  Rearranging:

\(\[y = -e^a x + e^a a + 2\]\)

Therefore, the equation of the tangent line to the function \(\(f(x) = 2 - e^x\)\)at the point\(\(a\)\)on the interval\(\([-1, 1]\) is \(y = -e^a x + e^a a + 2\).\)

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Answer:

266

Step-by-step explanation:

Answer: B. I and ll only

Step-by-step explanation:

The graph appear to show a sinusoid is Graph  I and II only.

A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.

A sinusoidal function has a smooth periodic graph as its representation.

The graph repeats itself at every predetermined interval and is continuous along the x-axis.

We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.

Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.

Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.

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Answer:

A random sample of size 64 is used to test the null hypothesis that for certain age group the mean score on an achievement test is less than or equal to 40 against the alternative that it is greater than 40. The scores are assumed to be normally distributed with variance 0? 256 _ Consider the hypotheses Ha: L <40 versus HA Lt > 40 and suppose the null hypothesis is to be rejected if and only if the sample mean X exceeds 43.5. What is the size of this test? Compute the probability of type Il error at L = 42

Step-by-step explanation: