in town A , the population increased from 2000 to 2400 in 2 years. In town B, the population increased from 1800 to 2300 during the same time period. In which town is the percentage increase in population greater?​

Answer: 19 degrees

Step-by-step explanation:

If two angles are complementary, they form a 90° angle. So the angle that is complementary to 71° is 19° because 90-71=19.

Answer:

6.02

Step-by-step explanation:

its really simple.

   4 . 3 2

+  1  . 7

-------------

  6  . 0 2

--------------

The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

There are infinitely many values of (a, b, c) for which S(a, b, c) is true over the universe U of positive integers. This is because any values of a and b that satisfy the equation a^2 + b^2 = c^2 will satisfy the predicate S(a, b, c).

There are infinitely many such values, since we can let a = 2mn, b = m^2 - n^2, and c = m^2 + n^2 for any positive integers m and n, where m > n. This gives us the values a = 16, b = 9, and c = 17, for example.

(a) C(a,b,c) over the universe U of nonnegative integers: 0 solutions.

Let C(a,b,c) and S(a,b,c) be predicates with the interpretation a 3 +b 3 = c 3 and a 2 +b 2 = c 2 , respectively.

There are no values of (a, b, c) for which C(a, b, c) is true over the universe U of nonnegative integers. To see why this is the case, we will use Fermat's Last Theorem, which states that there are no non-zero integer solutions to the equation a^n + b^n = c^n for n > 2.

To verify that this also holds for the universe of nonnegative integers, let us assume that C(a, b, c) holds for some non-negative integers a, b, and c. In that case, we have a^3 + b^3 = c^3. Since a, b, and c are non-negative integers, we know that a^3, b^3, and c^3 are also non-negative integers. Therefore, we can apply Fermat's Last Theorem, which states that there are no non-zero integer solutions to the equation a^n + b^n = c^n for n > 2.

Since 3 is greater than 2, there can be no non-zero integer solutions to the equation a^3 + b^3 = c^3, which means that there are no non-negative integers a, b, and c that satisfy the predicate C(a, b, c).

(b) C(a,b,c) over the universe U of positive integers: 0 solutions.

Similarly, there are no values of (a, b, c) for which C(a, b, c) is true over the universe U of positive integers. To see why this is the case, we will use a slightly modified version of Fermat's Last Theorem, which states that there are no non-zero integer solutions to the equation a^n + b^n = c^n for n > 2 when a, b, and c are positive integers.

This implies that there are no positive integer solutions to the equation a^3 + b^3 = c^3, which means that there are no positive integers a, b, and c that satisfy the predicate C(a, b, c).

(c) S(a,b,c) over the universe U={1,2,3,4,5}: 2 solutions.

There are two values of (a, b, c) for which S(a, b, c) is true over the universe U={1,2,3,4,5}. These are (3, 4, 5) and (4, 3, 5), which satisfy the equation 3^2 + 4^2 = 5^2.

(d) S(a,b,c) over the universe U of positive integers: infinitely many solutions.

There are infinitely many values of (a, b, c) for which S(a, b, c) is true over the universe U of positive integers. This is because any values of a and b that satisfy the equation a^2 + b^2 = c^2 will satisfy the predicate S(a, b, c).

There are infinitely many such values, since we can let a = 2mn, b = m^2 - n^2, and c = m^2 + n^2 for any positive integers m and n, where m > n. This gives us the values a = 16, b = 9, and c = 17, for example.

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The Western Allies, carry out the protection of democratic states from the perceived threat of Communist occupation (see the part on the Cold War and European integration)

began to begin a set of international organizations so that national governments could work jointly to resolve common problems on issues ranging from defense and security to moral trade to rebuild European nations physically and economically shattered by the Second World War.

Because so much had been demolished during the war, many European countries were heavily in debt to the United States and could not bear to rebuild.

There was a scarcity of food and raw materials; thousands of refugees were still those do not have homes.

Due to these problems, there were almost no jobs and unemployment was high.

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Answer:

C

Step-by-step explanation:

y=-x^2+1. y is a decreasing function as x^2 is an increasing function

Answer:

6.4008 meters

Step-by-step explanation:

Please tell me if correct

Have a great day

Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

#95141404393

Answer:

The number that is multiplied repeatedly is called the base.

The solution of the given system of equations 8x+3y=5 and 3x-2y=5 is x = 1 and y = -1

In this question we have been given a system of equations.

8x+3y=5                 ..........(1)

and 3x-2y=5           ..........(2)

We need to find the solution of the given system of equations.

As right hane side of both equations is equal, we equate LHS of both equations.

so, we get,

8x + 3y = 3x - 2y

⇒ 8x - 3x = - 2y - 3y

⇒ 5x = - 5y

⇒ x = - y                      .............(3)

By substituting x = - y in equation (1), we get,

8 ( - y ) + 3y = 5

⇒ - 8y + 3y = 5

⇒ - 5y = 5

⇒ y = - 1

Substitute above value of y in equation (3)

⇒ x = - (- 1)

⇒ x = 1

Therefore, x = 1 and y = -1 is solution of given equations.

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Answer:

a bunch

Step-by-step explanation:

Answer:

it is probably 9 or 12 I apologize apologise in advance if I'm wrong

Step-by-step explanation:

Step-by-step explanation:

Answer:

Volume (V) = 2522.0 mm^3

Step-by-step explanation:

The volume of cylinder is :

V = π r 2 h

We know that the height (h) is 19.

We also know the radius (r) is 13/2 = 6.5

So,

V = π 6.5^2*19

V = 2522.0 mm^3

Answer:

1) B

2) C

Step-by-step explanation:

Question 1)

We have the function:

\(y=2x^2+24x-16\)

Note that this is in the standard quadratic form:

\(y=ax^2+bx+c\)

Unfortunately, since this isn't in vertex form, we need to do a bit more work for our vertex.

Remember that we can find our vertex using the following formulas:

\(x=-\frac{b}{2a},\ y=f(-\frac{b}{2a})\)

Let's label our coefficients. Our a is 2, b is 24, and c is -16.

Let's find our vertex. Substitute 24 for b and 2 for a. This yields:

\(x=-\frac{24}{2(2)}\)

Multiply:

\(x=-\frac{24}{4}\)

Divide:

\(x=-6\)

So, the x-coordinate of our vertex is -6.

Now, to find the y-coordinate, we simply need to substitute x for our equation. We have:

\(y=2x^2+24x-16\)

Substitute -6 for x:

\(y=2(-6)^2+24(-6)-16\)

Evaluate. Square:

\(y=2(36)+24(-6)-16\)

Multiply:

\(y=72-144-16\)

Subtract. So, the y-coordinate of our vertex is:

\(y=-88\)

So, our vertex point is (-6, -88).

Remember that the axis of symmetry is the same as the x-coordinate of our vertex. So, our axis of symmetry is at x=-6.

Therefore, our answer is B.

Question 2)

We have the equation:

\(y=-2x^2+8x-20\)

Again, we can use the above formula. Let's label of coefficients.

Our a is -2, b is 8, and c is -20.

So, let's find the x-coordinate of our vertex:

\(x=-\frac{b}{2a}\)

Substitute 8 for b and -2 for a:

\(x=-\frac{8}{2(-2)}\)

Multiply:

\(x=-\frac{8}{-4}\)

Divide. The negatives cancel. So, our x-coordinate is:

\(x=2\)

Now, substitute this back into the equation to find the y-coordinate:

\(y=-2(2)^2+8(2)-20\)

Square:

\(y=-2(4)+8(2)-20\)

Multiply:

\(y=-8+16-20\)

Add:

\(y=-12\)

Therefore, our vertex is (2, -12).

And the axis of symmetry is at x=2.

Our answer is C.

And we're done!

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:x+19=(6)+19=25

Step-by-step explanation:

The given problem falls under the extraneous type of variable.

To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.

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Answer:

kitchi kitch ya ya da da

Step-by-step explanation:

Based on the graph of line R, the values of slope (m) and y-intercept (c) are 5 and -2 respectively.

In order to determine the slope (m) and y-intercept (c) of this line, we would select four (4) points on the graph through which line R passes through to represent a solution.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the graph of line R, we have the following points:

Point (x, y) = (0, -2)

Point (x, y) = (1, 3)

Substituting the given points into the formula, we have;

Slope, m = (3 + 2)/(1 - 0)

Slope, m = 5/1

Slope, m = 5

In Mathematics, the y-intercept of any graph generally occurs at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept (c) of this line is given by:

y-intercept (c) = -2.

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The correlation coefficient between the student's height and the distance they were able to jump is -1.13.

To compute the correlation coefficient (r) between the person's height and the distance they were able to jump, we need to use the given formula:

\(r = \sum (xi - \bar x)(yi -\bar y) / \sqrt{(\sum (xi - \bar x)^2 * \sum (yi -\bar y)^2)\)

Where:

In our case,

\(\bar x\) = 64.44

\(\bar y = 6.06\)

Square the differences and sum them:

\(\sum ((xi -\bar x)^2) =307.84\\\\\sum ((yi -\bar y )^2) = 2.7224\)

Calculate the correlation coefficient using the formula:

\(r = -32.63 / \sqrt{(307.84 * 2.7224)}\\\\r = -32.63 / \sqrt{838.74158}\\\\\r = -32.63 / 28.96\\\\r = -1.128\)

Therefore, the correlation coefficient (r) for the linear fit between height and jump distance is approximately -1.13.

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The area of the triangle is approximately 84.0 square meters.

Using the law of sines, we can find the missing parts of triangle ABC if A = 58°, b = 24, and c = 36.

sin(A)/a = sin(B)/b = sin(C)/c

We are given A and b, so we can solve for sin(B):

sin(B) = (b * sin(A)) / c = (24 * sin(58°)) / 36 ≈ 0.609

Now we can use sin(B) to find angle B:

B = sin^-1(sin(B)) ≈ 38.7°

Finally, we can use the fact that the angles of a triangle add up to 180° to find angle C:

C = 180° - A - B ≈ 83.3°

Therefore, the missing parts of triangle ABC are B ≈ 38.7° and C ≈ 83.3°.

Using the law of sines again with A = 39°, a = 50, and b = 66:

sin(A)/a = sin(B)/b = sin(C)/c

We are given A, a, and b, so we can solve for sin(B):

sin(B) = (b * sin(A)) / a = (66 * sin(39°)) / 50 ≈ 0.832

Now we can use sin(B) to find angle B:

B = sin^-1(sin(B)) ≈ 56.6°

To find angle C, we can once again use the fact that the angles of a triangle add up to 180°:

C = 180° - A - B ≈ 84.4°

Therefore, the missing part of triangle ABC is C ≈ 84.4°.

To find the area of the triangle with sides 13m, 14m, and 5m, we can use Heron's formula:

s = (13 + 14 + 5) / 2 = 16

area = sqrt(s * (s - 13) * (s - 14) * (s - 5)) ≈ 84.0 square meters

Therefore, the area of the triangle is approximately 84.0 square meters.

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The labeled quadrants in the standard xy coordinate plane is Quadrant II

What is Quadrants?

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Concept:

The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.

The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).

The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.

The labeled quadrants in the standard xy coordinate plane is Quadrant II

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Answer:

a system of government by the whole population or all the eligible members of a state, typically through elected representatives. The United States is one of the world's developed democracies where third parties have the least political influence. The federal entity created by the U.S. Constitution is the dominant feature of the American governmental system.

Step-by-step explanation:

The probability that B does not occur is 0.3, while the probability that A or B occurs is 0.8.

To find the probability that B does not occur, we can subtract the probability of B occurring from 1. Therefore, the probability of B not occurring is 1 - 0.7 = 0.3.

To find the probability that A or B occurs, we need to add the individual probabilities of A and B and subtract the probability of their intersection (A and B) to avoid double-counting. Therefore, the probability of A or B occurring is P(A) + P(B) - P(A and B) = 0.35 + 0.7 - 0.25 = 0.8.

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Answer:

74.25 maybe

Step-by-step explanation:

Answer:

Rico will ride 38.75 miles. 15.5 x 2.5 = 38.75

Step-by-step explanation:

Hope this helped you!

Answer:

There are 4 queens in a pack of 52 cards, and there are also 13 diamonds and 26 black cards (13 clubs and 13 spades).

To find the probability of getting a queen or a diamond or a black card, we need to add the probabilities of each event happening and subtract the probability of getting a card that is both a queen and a diamond (the queen of diamonds).

Probability of getting a queen = 4/52 = 1/13

Probability of getting a diamond = 13/52 = 1/4

Probability of getting a black card = 26/52 = 1/2

Probability of getting the queen of diamonds = 1/52

So, the probability of getting a queen or a diamond or a black card is:

(1/13) + (1/4) + (1/2) - (1/52) = 51/52 or approximately 0.98

Therefore, the probability of getting a queen or a diamond or a black card is approximately 0.98.

Solution

Event 1: Probability is 8/16 = 1/2

Event 2: Probability is 1(certain to happen)

Event 3: Probability is 0(Impossible). There are no white slices in Spinner A

Event 4: Probability is 9/20