Question 10 of 2
What is the coefficient in the expression 8x2 +1?
O A. 1
ОВ. x
O C. 2
O D. 8
What is the coefficient?

Angle a is labeled as left parenthesis 2y plus 20 right parenthesis degrees, angle b is labeled as left parenthesis 5 x right parenthesis degrees, and angle c is labeled as 40 degrees. So the value of y is 40.

In the given question, we have to find the value of y.

Given that;

Y = an isosceles triangle abc.

Sides a, b and a, c are equal.

Sides a, b and a, c are labeled with single tick marks.

Angle a is labeled as left parenthesis 2y+20 right parenthesis degrees, angle b is labeled as left parenthesis 5xright parenthesis degrees, and angle c is labeled as 40 degrees.

If using A,B,C as variables for the measure of the corresponding interior angles and A is the vertex point Band C are the base angles, triangle isosceles, then:

A=2y+20

B=5x

C=40

Angle B and C are equal

B=C

5x=40

X=8

Both B and C are each is 40 degrees

A+B+C=180

A+40+40=180

A+80=180

A=100

After putting the value of A:

A=2y+20

100=2y+20

2y=80

Y=40

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Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. This is done by setting up a double integral in terms of r and θ, and integrating first with respect to r and then with respect to θ.

Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. The steps to double integrate a function in polar coordinates are as follows:

1. Determine the limits of integration for r and θ. These limits define the region over which the function will be integrated. Typically, the limits are determined by the boundaries of the region in the xy plane.

2. Write the function to be integrated in terms of r and θ. The function must be expressed in polar coordinates for integration in polar coordinates.

3. Set up the double integral by writing the function in polar coordinates, multiplying by the appropriate factors of r and integrating with respect to r first and then θ.

4. Integrate the function with respect to r, using the limits of integration for r determined in step 1.

5. Integrate the result from step 4 with respect to θ, using the limits of integration for θ determined in step 1.

The general form of a double integral in polar coordinates is:

∫∫f(r, θ)r dr dθ

where f(r, θ) is the function to be integrated, and r and θ are the polar coordinates.

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Answer:

4.5

Step-by-step explanation:

Mean = (4+5+6+3)/4 = 4.5 bubbles

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

You can forget about point R. It does not have any part in this problem, except to add confusion.

The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.

The midpoint (M) of PQ is ...

  M = (P +Q)/2

  M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2

  M = (3, 2)

The vertical line through a point with x-coordinate 3 will have the equation ...

  x = 3

The statement suggests that there is likely to be an interaction between nitrogen (N) and phosphorus (P), which are two fertilizer ingredients used to achieve optimum levels in plant growth. However, without further context or specific details, it is uncertain to determine the nature and extent of this interaction.

In agriculture and plant nutrition, both nitrogen and phosphorus are essential elements for plant growth and development. They play crucial roles in various physiological processes and are often supplied through fertilizers to optimize crop yields. The interaction between nitrogen and phosphorus can have significant implications for plant growth and nutrient utilization.

The ratio of nitrogen to phosphorus in the soil can affect nutrient uptake, plant growth, and overall productivity. Different plant species and soil conditions may exhibit varying responses to the interaction between these two fertilizer ingredients. Factors such as soil type, pH, organic matter content, and crop-specific nutrient requirements further contribute to the complexity of this interaction. To fully understand and assess the interaction between nitrogen and phosphorus, detailed research and experimentation specific to the particular context are necessary.

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Which numbers do you want?

Given:

The two points are,

Required:

To find the distance between the given two points.

Explanation:

Distance between the two points (x1,y1) and (x2,y2) can be calculated by using the formula,

Now the distance between the points (1,8) and (-3,3) is,

Final Answer:

The distance between given two points is,

False. In a static method of a class, you cannot use the "this" keyword to reference instance variables or instance methods of the same class.

A static method belongs to the class itself, not to any particular instance of the class, so it cannot access instance-specific information. Instead, you would need to use the class name followed by the variable name to access any static or instance variables within a static method of that same class. For example, if the class had an instance variable called "f" and a static method called "myStaticMethod", you could reference the instance variable from within the static method using "ClassName.f". It is important to note that if you attempt to reference an instance variable using "this.f" within a static method, you will receive a compilation error.

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Answer:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Step-by-step explanation:

The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.

△ABC≅△EFG

Sides AB and EF are congruent

△ABC≅△EFG

Sides BC and FG are congruent

△ABC≅△EFG

Sides AC and EG are congruent

Look at the choices:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Answer:

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

40 - 5 = 35 years till the son will be 40, his fathers age

40+35 = 75, the dad's age 35 years in the future when the son is 40

Answer:

a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

Step-by-step explanation:

Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x  (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y  (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

P(x, y, z) =

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

The explanation to the answers is now given as follows:

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)

q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)

r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)

C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z

P(x, y, z) = profit function

x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively

Therefore, we have:

TR = Total revenue = px + qy + rz …………………………….. (1)

Substituting the relevant values into equation (1), we have:

TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z

TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2

Also,

P(x, y, z) = TR – C ……………………………………… (2)

Substituting the relevant values into equation (2), we have:

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z

P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)

Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:

In America

From equation (3), we have:

Px = 24 – 0.4x = 0

Therefore, we have:

24 – 0.4x = 0

24 = 0.4x

x = 24 / 0.4

x = 60

In Europe

From equation (3), we have:

Py = 12 – 0.2y = 0

Therefore, we have:

12 – 0.2y = 0

12 = 0.2y

y = 12 / 0.2

y = 60

In Asia

From equation (3), we have:

Pz = 16 - 0.2z = 0

Therefore, we have:

16 - 0.2z = 0

16 = 0.2z

z = 16 / 0.2

z = 80

Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

Answer:

7 vans

Step-by-step explanation:

62 ÷ 9 = 6.86.8 is not a whole number, so when you round it to the nearest whole number you get 7.[Also, 9 × 7 = 63, which is close to 62]∴ 7 vans will be needed.

Answer:

7 vans

Step-by-step explanation:

Each van can take 62 people so you share the 62 among the vans, and each van is 9,therefore 62÷9=6.888889 and people cannot be in decimals so you round the figure to a whole number which is equal to 9.

A) The given problem can be considered as an experiment as the researcher is trying to observe the effect of a new drug on quitting smoking.

B) In this experiment, the control group is composed of the participants who received skin patches with no drugs. They are used for the comparison of the effects of the treatment.

C) The treatment group in this experiment is composed of the participants who received skin patches with the new drug. This group is used to analyze the effect of the treatment.

D) Yes, there is a placebo being used in this experiment, which is the skin patch without the new drug. It is used to evaluate the effectiveness of the new drug.

Explanation:

An experiment is a study in which the researcher changes one or more variables and observes or measures the effect of those changes on another variable. In this given problem, the researcher is trying to observe the effect of a new drug on quitting smoking. Thus, it can be considered an experiment.

The control group is a group of participants who do not receive the treatment and are used for comparison with the treatment group. In this experiment, the participants who received skin patches with no drugs acted as the control group.

The treatment group, on the other hand, is a group of participants who receive the treatment and are used to analyze the effect of the treatment. In this experiment, the participants who received skin patches with the new drug acted as the treatment group.

A placebo is an inactive substance that has no therapeutic effect but is used in studies to evaluate the effectiveness of a drug or intervention. In this experiment, the skin patch without the new drug is used as a placebo to evaluate the effectiveness of the new drug. Thus, it is being used in the given experiment.

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Answer:  Check out the diagram below.

Explanation:

Use a calculator to find that:

\(A = \sqrt{18} \approx 4.24\\\\B = \sqrt{73} \approx 8.54\\\\C = \sqrt{30} \approx 5.48\\\\D = \sqrt{52} \approx 7.21\\\\E = \sqrt{7} \approx 2.65\\\\\)

You'll then plot those decimal approximate values on the number lines given.

For example, 4.24 will go somewhere between 4 and 5. It's closer to 4 than it is to 5. The other values are handled the same way. The placement of the points doesn't have to be perfect.

Check out the diagram below. I made one single number line and plotted all the values on it. However, you'll have 5 separate number lines (one value per number line).

Answer:

Answer = tan 3pi/10

Step-by-step explanation:

Hope that helps! :)

Answer:

52

Step-by-step explanation:

-(10 + (-6)) - ((-55) + 1 - 2)

(-10 + 6) + (55 - 1 + 2)

(-4) + (56) = 52

I hope this helps!

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer : 52

Explaination :

(5x+2)+(2x+18)+90=180

5x+2x+2+18+90=180

7x+110=180

7x = 180-110

7x = 70

x = 70÷7

x = 10

Angle CDF

= 5(10)+ 2

=52

Answer:

Well, its a bit difficult to show you how to graph that, but here goes

First point (0,1)

second point (-5,3)

third point (5,-1)

Answer:

B

Step-by-step explanation:

Answer:

\(\frac{5}{3} \\.3846153846\)

Step-by-step explanation:

The number of miles in the taxi ride is 13 miles.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Lydia took a taxi from her house to the airport and the taxi company charged a pick-up fee of $4.10 plus $2.50 per mile.

The equation can be illustrated thus:

4.10 + 2.5x = 36.60

Collect like terms

2.5x = 36.60 - 4.10

2.5x = 32.5

Divide

x = 32.5 / 2.5

x = 13

The number of miles is 13 miles

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Answer:

Given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down, which is also T₍₋₃, ₋₅₎, by transformation notation

Step-by-step explanation:

The coordinates of the point C is (1, -1)

The coordinates of the point C' is (-2, -6)

Therefore, the translation required to shift the point C from to point C' is found as follows;

The difference between the x, and y-coordinates of the points C and C' are given as follows;

Δx, C to C' = (-2 - 1) = -3

Δy, C to C' = (-6 - (-1)) = (-6 + 1) = -5

Therefore, the the transformation from C to C' it T₍₋₃, ₋₅₎

Which can be presented as, given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down.

Answer:

W = (1/7) t

Step-by-step explanation:

At t = 0, W  =  0

At t = 56 minutes , W = 8 inches

W = k*t    The y intercept = 0 because t = 0 W = 0

8 inches = k * 56 minutes

k = 8 / 56

k = 1/7 inches / minute

W = (1/7) t

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation: