What is the slope of the line that passes through 9,5 and 4,5

Answer:

\(y + 1 - x \: when \: x = 4 \: and \: y = 5 \\ \\ y + 1 - x \\ \\ = 5 + 1 - 4 \\ \\ =6 - 4 \\ \\ = 2\)

= y + 1 - x

= 5 + 1 - 4

= 6 - 4

= 2

~ nightmare 5474~

The rental cost for each movie and each video game is $3.5 and $5 respectively.

Let

cost of each movie= x

Cost of each video game = y

2x + 5y = 32

8x + 3y = 43

Multiply (1) by 4

8x + 20y = 128

8x + 3y = 43

8x + 20y = 128

Subtract the equation to eliminate x

20y - 3y = 128 - 43

17y = 85

divide both sides by 17

y = 85/17

y = 5

Substitute y = 5 into

2x + 5y = 32

2x + 5(5) = 32

2x + 25 = 32

2x = 32 - 25

2x = 7

x = 7/2

x = 3.5

Therefore, movie cost $3.5 and video games cost $5.

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Answer:

18 hdhb

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

21/1 x 6/7

21 x 6 = 126

1 x 7 = 7

126 / 7 = 18

Answer:

The variables are x and y.The coefficients are 1/4 and 3.Lastly the constants are -23 and 42

Step-by-step explanation:

Variables are letters used to represent an unknown number.Coefficients are the numbers in front of the variables.Constants are numbers by themselves they can be positive and negative.

For the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients 1/4 , 3are the constants are -23 , 42

A quantity that may assume any one of a set of values or in simple words a quantity whose value changes may vary.

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

A constant is a value or number that never changes in expression

in the given equation: 1/4x + 3y − 23 = 42

x and y are variables as the changes for different set of values.

1/4 and 3 are coefficient as they are placed before and multiplying the variable.

-23, 42 is a constant as its value never changes in expression.

Thus for the equation: 1/4x + 3y − 23 = 42 the variables are x, y the coefficients  1/4 , 3are the constants are -23 , 42

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The answer of the following are; A. 16 yellow marbles were chosen

B. 24 marbles were chosen

C. Not enough information.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are obtained data from the question. This include the following:

marble = 40

Black marble =..?

A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.

yellow marble chosen = 2/5 x 40 = 16.

Therefore, 16 yellow marbles were chosen.

B. From the question given, 3/5 of the 40 marbles were chosen.

marble chosen = 3/5 x 40 = 24.

Therefore, 24 marbles were chosen.

C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.

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Answer:

x = -18

number = x

2(x+5) = x-8    (distribute the 2)

2x+10 = x-8    (add/subtract like terms)

2x-x = -8-10

x = -18

9514 1404 393

Answer:

  f(x) = (x -4)(x -1)

Step-by-step explanation:

If 'a' is a zero of the function, then (x -a) is a factor. The two zeros mean the factored form of the quadratic is ...

  f(x) = (x -4)(x -1)

__

The expanded form will be ...

  f(x) = x² -5x +4

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Step-by-step explanation:

hello,

you just need to multiply all values inside the brackets with the value outside the bracket and then work it out as normal.

for instance,

a) 4( x + 3)

= 4x + 12

here you can see i multiplied both values by 4.

b) 4(x - 5)

= 4x - 20

c)2(x + 2)

= 2x + 4

d) 4(1 - c)

= 4 - 4c

hope this makes things clearer for you! thank you!

So, here on solving the provided question, we can say that  \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\) and \(4^{-3/2} = 64^{1/2} = 8\)

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64.

here,

we have \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\)

and \(4^{-3/2} = 64^{1/2} = 8\)

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Applying the initial conditions, the specific solution is:

\(y = e^{-2x}(-3\sin{3x} + 4\cos{3x})\)

The general solution is given by:

\(y = e^{-2x}(C_1\sin{3x} + C_2\cos{3x})\)

We apply the initial conditions to find the specific solution.

First, we have that y(0) = 4, then:

\(4 = e^{-2(0)}(C_1\sin{3(0)} + C_2\cos{3(0)})\)

Since cos(0) = 1, we have that:

\(C_2 = 4\)

Then:

\(y = e^{-2x}(C_1\sin{3x} + 4\cos{3x})\)

The derivative is:

\(y^\prime(x) = -2e^{-2x}(C_1\sin{3x} + 4\cos{3x}) + e^{-2x}(3C_1\cos{3x} - 4\sin{3x})\)

Since y'(0) = -17, then:

\(-17 = -8 + 3C_1\)

\(3C_1 = -9\)

\(C_1 = -3\)

Then the specific solution is:

\(y = e^{-2x}(-3\sin{3x} + 4\cos{3x})\)

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Answer:

Step-by-step explanation:

Given:

Find the cos A first:

Use the law of cosines:

slope of a line is expressed as;

from the table 4

when x1 = -1, y1 =3

when x2 = 1, y2 = 6

Find the slope using this coordinates;

Hence the slope or rate of change is 3/2

(1) There are no strictly dominated or weakly dominated strategies in this game.

A strategy is strictly dominated if it is always worse than at least one other strategy, regardless of what the other player does. A strategy is weakly dominated if it is at least as bad as some other strategy in every possible combination of actions, but not strictly worse in every possible combination of actions. If lion 1 chases the little impala, lion 2 can maximize their payoff by chasing the big impala. Therefore, neither chasing the big impala nor chasing the little impala is strictly or weakly dominated for either lion.

(2) The pure strategy Nash equilibria in this game are (big, big) and (little, little).

A Nash equilibrium is a set of strategies such that no player has an incentive to change their strategy given the strategies of the other players. In this game, the strategy combination (big, big) is a Nash equilibrium because neither lion has an incentive to change their strategy. If both lions chase the big impala, each lion gets a payoff of 2. If either lion changes their strategy to chase the little impala, their payoff decreases to 1. Therefore, neither lion has an incentive to change their strategy, and (big, big) is a Nash equilibrium.

Similarly, the strategy combination (little, little) is a Nash equilibrium because neither lion has an incentive to change their strategy. If both lions chase the little impala, each lion gets a payoff of 1. If either lion changes their strategy to chase the big impala, their payoff decreases to 2. Therefore, neither lion has an incentive to change their strategy, and (little, little) is a Nash equilibrium.

(3) The pure strategy Nash equilibria correspond to evolutionarily stable states.

An evolutionarily stable state (ESS) is a strategy combination such that if a small number of individuals in a population adopt a different strategy, they will eventually be replaced by individuals using the ESS strategy. In this game, both (big, big) and (little, little) are ESS because in either case, a small number of individuals using a different strategy will eventually be replaced by individuals using the ESS strategy.

For example, consider the strategy combination (big, big). If a small number of individuals switch to chasing the little impala, they will get a lower payoff than the individuals who continue to chase the big impala. As a result, these individuals will be less likely to reproduce and pass on their genes, and the population will eventually return to the (big, big) strategy combination.  As a result, these individuals will also be less likely to reproduce and pass on their genes, and the population will eventually return to the (little, little) strategy combination.

(4) The replicator system for this game is given by pp1 = p1(2p1 + 4p2 - (p1(2p1 + 4p2) + p2(2p1 + p2))), p˙2 = p2(2p1 + p2 - (p1(2p1 + 4p2) + p2(2p1 + p2))).

The replicator system is a set of differential equations that describe how the frequencies are.

(5) Using p2 = 1 - p1, we can reduce the replicator system to the following differential equation in p1:

     p1 = 3p1(1 - p1)^2

(6) The phase portrait on the interval 0 ≤ p1 ≤ 1 can be obtained by solving the differential equation p1 = 3p1(1 - p1)^2 for p1. The phase portrait shows that as p1 increases from 0 to 1, p1 increases from 0 to a maximum value, then decreases back to 0. This indicates that p1 oscillates around the value 0.5, meaning that both strategies (big and little) coexist in the population in roughly equal proportions.

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Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Since the R(x) function is given by the following expression

Solving for Q(x), we have:

If we substitute the expressions for both functions, we're going to have:

We can rewrite this expression by factorizing:

and this is our answer.

Answer:

3

Step-by-step explanation:

Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

The slope of a vertical line is undefined.

Kayal is correct.

The rate of change in the table is -6.

The slope of the graph is 3/2.

The slope of a is the change in the y coordinate with respect to the change in the x coordinate.

We have,

A vertical line means there is no change in the x-coordinate.

i.e slope = change in y-coordinates / change in x-coordinate

slope = change in y-coordinate / 0
slope = undefined

The slope of a vertical line is undefined.

Now,

From the given table we see that there is a change of 1 for the x-values and a change of -6 in the y-values so,

Rate of change in the table:

= change in y values/change in the x values

= -6 / 1

= -6

Now,

Take any two points on the graph such as:

(a, b) = (4, 6) and (c, d) = (-4, -6)

The slope of the graph:

= (d - b) / (c - a)

= -6 - 6 / -4 - 4

= -12 / -8
= 3 / 2

Thus,

The slope of a vertical line is undefined.

Kayal is correct.

The rate of change in the table is -6.

The slope of the graph is 3/2.

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The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

2

Step-by-step explanation:

Area = length * width * height

  4/5 * 3/2 * 5/3

=  60/30

= 2

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer:

74

Step-by-step explanation:

∡'s C and D are vertical angles and are equal; both are 74°

Answer:

C=78.5

Step-by-step explanation:

C=πr²

r=1/2 of diameter

π=3.14

C=π5²

C=78.5

The circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A gardener makes a new circular flower bed. The bed is ten feet in diameter.

D = 10 feet

The radius r = D/2 = 10/2 = 5 feet

A = πr²

π = 3.14

A = π(5)²

A = 78.5 square feet

The circumference:

C = 2πr

C = 2(3.14)(5)

C = 31.4 feet

Thus, the circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

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Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3