5p+10q = 10; 2p-q= 1

Answer:

A ≈ 34.91 m²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{40}{360}\) ( r is the radius )

  = π × 10² × \(\frac{1}{9}\)

  = \(\frac{100\pi }{9}\)

  ≈ 34.91 m² ( to 2 decimal places )

Answer:

(round 35m²)

Step-by-step explanation:

360° : 40° = 9  

Area of Circle Formulas · Area = π × r2, where 'r' is the radius

Area = π × r2

Area = π × 10²

Area = π × 100

Area = 3.14 × 100

Area = 314 m²

314 : 9 = 34.88m² (round 35m²)

Answer:

Like this very "question"? Yes, this question is quite educational and asking for academic help HMMMMM. Ok but yea i see that too much I agree.

Step-by-step explanation:

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Step-by-step explanation:

6x-2y = 26 ---(1)

x+y = 3 -------(2)

so, (y = 3-x)

put in equation 1st.,

6x-2(3-x) = 26

6x-6+2x = 26

8x = 32

(x = 4)

so, put x value in equation 2nd,

4+y = 3

(y = -1 ) Answer

Answer:

x = 4

y = -1

Step-by-step explanation:

How to use substitution method?:

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Given:

6x-2y=26

-y+3=x  

Flip the equation around:

x = 3 - y

6(3-y) - 2y = 26  << Distribute property

18 -6y -2y = 26  << Add liked term

18 -8y = 26

-8y/-8 = 8/-8   << Divide both sides by -8

y = -1

Now, substitute y into the equation also known as -1.

6x - 2(-1) = 26

6x + 2 = 26  << Subtract 2 from 2 and 26 from 2

6x = 24

6x/6 = 24/6  << Divide both sides by 6.

x = 4

Hence, x = 4 and y = -1.

RevyBreeze

Answer:

D

Step-by-step explanation:

Option A is $6 for two pounds of apples, option B is $5.50 for two pounds of apples, option C is $5.80 for two pounds of apples, and option D is $6.50 for two pounds of apples (9.75/3=3.25x2=6.5). Therefore D is the most expensive.

I hope this helps :)

Answer:

Step-by-step explanation:

for vertex

x-2=0 gives x=2

when x=2,y=4

vertex (2,4)

axis of symetry

x-2=0

Using a linear change of variables with u=x+y and v=x-y, the integral ∫∫(x+y)e^(x-y) dA over a polygonal region R is evaluated to be 2(e^-1 - e^-3).

To evaluate the given integral using a linear change of variables, we need to find a transformation that simplifies the integrand and the domain of integration. Let's try the transformation

u = x + y

v = x - y

Then, the Jacobian of the transformation is

J = ∂(u,v)/∂(x,y) =

| 1 1 |

| 1 -1 |

and its determinant is |J| = -2.

Using this transformation, we can rewrite the integral as

∫∫(x+y) e^(x-y) dA = ∫∫ u e^v |J| dudv

where the region R is transformed into a square with vertices (1,1), (-1,1), (-1,-1), and (1,-1) in the uv-plane.

The limits of integration for u and v can be found by considering the lines that bound the region R

For the line x = 1, we have u = x + y = 1 + y, which becomes v = x - y = 1 - 2y. Therefore, the line x = 1 corresponds to v = 1 - 2u.

Similarly, for the line y = 1, we have u = x + y = x + 1, which becomes v = x - y = x - 1. Therefore, the line y = 1 corresponds to v = u - 2.

For the line x = -1, we have u = x + y = -1 + y, which becomes v = x - y = -1 - 2y. Therefore, the line x = -1 corresponds to v = -1 - 2u.

Finally, for the line y = -1, we have u = x + y = x - 1, which becomes v = x - y = x + 1. Therefore, the line y = -1 corresponds to v = u + 2.

Using these limits, we can rewrite the integral as

∫∫(x+y) e^(x-y) dA = ∫^1_-1 ∫^(1-2u)_(u-2) u e^v (-2) dvdud

Integrating with respect to v first, we get

∫^1_-1 ∫^(1-2u)(u-2) u e^v (-2) dvdud = ∫^1-1 [-2u(e^(1-2u)-e^(u-2))] du

Integrating with respect to u, we get

∫^1_-1 [-2u(e^(1-2u)-e^(u-2))] du = [-e^(1-2u)+e^(u-2)]|^1_-1 = 2(e^-1 - e^-3)

Therefore, the value of the integral is 2(e^-1 - e^-3).

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Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

55

Step-by-step explanation:

the angles in a triangle adds up to 180

180= 75 + 50 + x

180-(75+50) = x

180 - 125 = x

x= 55

Answer:

The value of x is 55.

The grid need to be at least 7 squares wide so that the data fits on the graph.

In this exercise, you should plot the distance (in km) on the x-coordinates of a scatter plot while the height (in m) should be plotted on the y-coordinate of the scatter plot, through the use of an online graphing calculator or Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.

Based on the scale chosen for this scatter plot shown below, we can logically deduce the following scale factor on the x-coordinate for distance;

Maximum distance = 61 km.

Scale = 61/10

Scale = 6.1

Minimum scale = 6 + 1 = 7 squares wide.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The answer should be 34.33 times.

Step-by-step explanation:

If it weighs up to 3 grams, that should be the answer. However, if it is 10 grams, the answer would be 10.3 times. I hope this helps

Answer:

30 x ^2 y ^2

Step-by-step explanation:

Answer:

Explanation = The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It's called a “least squares” because the best line of fit is one that minimizes the variance (the sum of squares of the errors).

Step-by-step explanation:

I DON'T HOW ABOUT THE ANSWERS.

BUT I CAN HELP THIS MUCH..

I HOPE THIS HELPS....

THANK U!

Answer:

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Since the two triangles are congruent, ∠B ≅ ∠E

50 = 5x

x = 10

Answer:

In mathematics, the factor theorem mostly used when factoring the polynomials totally. factorial theorem is that links factors and zeros of the polynomial.

By to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and ‘a’ is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

including, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This also proves that the converse of the theorem. Let us see the proof and example.

Factor theorem is mostly used for factoring a polynomial and searching the roots of the polynomial. It is an important case of a polynomial remainder theorem.

As examined in the introduction, a polynomial f(x) has a factor (x-a), if and only if, f(a) = 0. It is one of the processes to do the factorization of a polynomial.

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The expression that represents the total number of branches trimmed by Mason is 3 + (1/10) * b - (3/10).

Let b be the number of initial branches on the tree.

Mason trims 3 branches from the tree, so the number of remaining branches is b - 3.

The next day, he trims 1/10 of the remaining branches, which is (1/10) * (b - 3).

The total number of branches trimmed is the sum of the 3 branches trimmed initially and the 1/10 of the remaining branches trimmed the next day:

Total branches trimmed = 3 + (1/10) * (b - 3)

So the expression that represents the total number of branches trimmed is 3 + (1/10) * (b - 3).

Total branches trimmed = 3 + (1/10) * (b - 3)

= 3 + (1/10) * b - (1/10) * 3

= 3 + (1/10) * b - (3/10)

So, this expression represents the total number of branches trimmed by Mason from the tree. The original number of branches is represented by the variable b. The first term, 3, represents the initial 3 branches that were trimmed. The second term, (1/10) * b, represents 1/10 of the remaining branches after the initial trimming. The third term, - (3/10), represents the subtraction of 3/10 from the total.

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Answer:

Point K lies at (18,10) on the graph, which means that the coordinates of point LL can be found by multiplying the coordinates of point K by a constant value. Since the line KL represents a proportional relationship, the constant value must be the same for both the x-coordinate and the y-coordinate of point LL. The only choice that satisfies this condition is (7.5,13.5), since both coordinates are the result of multiplying the coordinates of point K by 0.5. Therefore, the coordinates of point LL are (7.5,13.5).

Step-by-step explanation:

Answer: (0.6,0)

Step By Step: Since point K lies on the y-axis and has an x-coordinate of 18, point L must have an x-coordinate of 0, so the only possible answer is (0.6,0)

Answer:

Personally, I think it depends on the amount of the product you’re buying. If the product is expensive, you should go the store with a percentage-off discount. If the product is not expensive, you should go to the store with coupon savings.

Step-by-step explanation:

For example, if you’re buying a $5 toy with a $1 coupon and 10% off, you should chose the coupon. Because if you chose the discount, it doesn’t change a lot of things. However, if you’re buying a million dollar airplane(just kidding), then you should definitely chose the discount. Because a million dollar minus 1 changes nothing. But a 10% discount can decrease the cost by 1 hundred thousand! Isn’t that surprising? Hope you understand it.

Answer:

I think it is B, sorry if I'm wrong

Answer:

Step-by-step explanation:

The rule for an isosceles triangle is that the triangle must have two sides of equal length. These two sides are called the legs of the triangle and the unequal side is called the base. The isosceles triangle theorem further states that the angles opposite to each of the equal sides must also be equal.A triangle is a two-dimensional geometric shape that is made up of three line segments that are connected to each other at their endpoints (called vertices), which results in a closed shape that has three sides, three vertices, and three angles. Triangle RST shown contains the vertices R, S, and T and the angles

Triangle RST

A triangle is a 2-D shape with three sides, three corners, and three angles.

An important property of triangles is that the sum of all of the angles of a triangle must equal 180 degrees.

The angles of a triangle can be any of the following:

A right angle, which is an angle with a measure of exactly 90 degrees.

An acute angle, which is an angle with a measure that is less than 90 degrees.

An obtuse angle, which is an angle with a measure that is greater than 90 degrees.

The isosceles triangle definition states that an isosceles triangle is a special kind of triangle that has at least two sides that are equal in length. The word isosceles comes from the prefix isos, which means equal, and the suffix skeles, which means legs. In the isosceles triangle LMN shown, sides LM and LN are equal in length, while side MN is different. The term congruent is used to describe the two sides of an isosceles triangle that are equal in length. In general, congruent simply means equal in shape and size.

a. The arc length function for the space curve 7(t) is s(t) = ∫√(49cos²(-2t) + 4/36sin²(-2t) + 25cos²(-2t)) dt.

b. The arc length parameterization for the space curve r(t) is F(s) = (7sin(-2t), 2/6cos(-2t), 5cos(-2t)), where s is the arc length parameter.

To find the arc length function, we use the formula for arc length in three dimensions, which involves integrating the square root of the sum of the squares of the derivatives of each component of the curve with respect to t. In this case, we calculate the integral of √(49cos²(-2t) + 4/36sin²(-2t) + 25cos²(-2t)) with respect to t to obtain the arc length function s(t).

The arc length parameterization represents the curve in terms of its arc length rather than the parameter t. We define a new parameterization F(s), where s is the arc length. In this case, the components of the curve are given by (7sin(-2t), 2/6cos(-2t), 5cos(-2t)), with t expressed in terms of s.

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Answer:

Step-by-step explanation:

english only please

Answer:

first line is mode second line is 21

Answer:

17

Step-by-step explanation:

This seating creates a triangle, in which means we should use pythagoras theorem to solve it. Because 15 and 8 are both legs we need to square 15 and 8 and add them. After that we need to take the square root of it.

Steps:

15^2 + 8^2 = 289

sqrt289 = 17