Factor the expression below.
x² - 64
A. (x + 16)(x - 4)
B. (x-8)(x-8)
C. (x+3)(x-8)
D. (x - 16)(x - 4)


help

In the repeated game G, each player has a total of 9 (pure) strategies.

In a repeated game, the strategy space for each player expands as they make decisions over multiple stages. Since the game G is repeated twice, we need to consider the number of possible strategy profiles in each stage and then multiply them to find the total number of strategies.

For Player 1, there are 3 possible actions in the first stage (a, b, c). In the second stage, given the knowledge of the strategy profile played in the first stage, Player 1 again has 3 possible actions. Therefore, the total number of strategies for Player 1 in the repeated game is 3 × 3 = 9.

Similarly, for Player 2, there are 4 possible actions in the first stage (W, X, Y, Z). In the second stage, Player 2 has 4 possible actions again. Hence, the total number of strategies for Player 2 in the repeated game is 4 × 4 = 16.

It's important to note that the total number of strategy profiles in the repeated game is the product of the number of strategies for each player. In this case, Player 1 has 9 strategies, and Player 2 has 16 strategies, resulting in a total of 9 × 16 = 144 strategy profiles in the repeated game.

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For the first set of ratios, sin 40° = m/n, sin 50°= 10/n, cos 40°= 10/n, cos 50° = m/n, tan 40° = m/10, tan 50° 10/m. For the second set of ratios, Ex 4. sin 40° =30/n, Ex 5. sin Ө=10/n, Ex 6. cos 40° = 10/n, Ex 7. cos Ө=30/n,  Ex 8. tan 40° = 3, Ex 9. tan Ө=1/3.

Trigonometric ratios are mathematical expressions that relate the angles of a right triangle to the lengths of its sides. There are three basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan).

Sine (sin): the ratio of the length of the side opposite an acute angle to the length of the hypotenuse (the longest side of the right triangle).

sin A = opposite / hypotenuse

Cosine (cos): the ratio of the length of the adjacent side to the length of the hypotenuse.

cos A = adjacent / hypotenuse

Tangent (tan): the ratio of the length of the side opposite an acute angle to the length of the adjacent side.

tan A = opposite / adjacent

For the first set of ratios, we are given that the right-angled triangle has a perpendicular of 10, a hypotenuse of n, and a base of m, where the angle between the base and hypotenuse is 40 degrees.

sin 40° = opposite/hypotenuse = m/n

sin 50° = opposite/hypotenuse = 10/n (since the opposite side is the perpendicular of 10)

cos 40° = adjacent/hypotenuse = 10/n (since the adjacent side is the base of m)

cos 50° = adjacent/hypotenuse = m/n

tan 40° = opposite/adjacent = m/10

tan 50° = opposite/adjacent = 10/m

To simplify the answers, we leave them in terms of n, m, and 10, since those are the known values in the triangle.

For the second set of ratios, we are given that the right-angled triangle has a perpendicular of 10, a hypotenuse of n, and a base of 30, where the angle between the base and hypotenuse is 40 degrees.

Ex 4. sin 40° = opposite/hypotenuse = 30/n

Ex 5. sin Ө= opposite/hypotenuse = 10/n (since the opposite side is the perpendicular of 10)

Ex 6. cos 40° = adjacent/hypotenuse = 10/n (since the adjacent side is the base of 30)

Ex 7. cos Ө= adjacent/hypotenuse = 30/n

Ex 8. tan 40° = opposite/adjacent = 30/10 = 3

Ex 9. tan Ө= opposite/adjacent = 10/30 = 1/3

To simplify the answers, we leave them in terms of n, 10, and 30, since those are the known values in the triangle. Note that in Ex 5 and Ex 7, we leave the answers in terms of Ө, which is the angle opposite the perpendicular.

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Answer: 63 children and 88 adults swam at the public pool that​ day.

Step-by-step explanation:

Let x = Number of children

y= Number of adults

As per given , we have

x+y=151            (i)

1.50x+2y=270.50          (ii)

Multiply 2 on both sides of (i)

2x+2y = 302          (iii)

Eliminate (ii) from (iii)

0.5x=31.5

⇒ x = 63   [Divide both sides by 0.5]

Put value of x in (i) , we get

63+y= 151

⇒ y= 151-63 =88

Hence, 63 children and 88 adults swam at the public pool that​ day.

Answer:

80 miles

Step-by-step explanation:

15 minutes × (1 hour)/(60 minutes) = 0.25 hour

speed = distance/time

distance = speed × time

distance = 320 miles/hour × 0.25 hour

distance = 80 miles

The derivative of an inverse trigonometric function can be found by using the chain rule.

The chain rule states that the derivative of a composite function is equal to the product of the derivatives of the inner and outer functions. Therefore, the derivative of an inverse trigonometric function can be found by taking the derivative of the inverse function and multiplying it by the derivative of the original trigonometric function.

For example, let's find the derivative of the inverse sine function (sin^-1(x)). We start by taking the derivative of the inverse sine function, which is equal to 1/sqrt(1-x^2). Then we multiply this by the derivative of the sine function, which is equal to cos(sin^-1(x)). Therefore, the derivative of sin^-1(x) is equal to 1/sqrt(1-x^2)*cos(sin^-1(x)). This same formula can be used to find the derivatives of the other inverse trigonometric functions.

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Answer:

Answer is given in the attachment

hope it's helpful!!

Answer:

sin(150) or 1/2

Step-by-step explanation:

Using the double angle identity of sin2x = 2sinxcosx, you can determine the value of x and rewrite the function; 2sin(75)cos(75) = sin(2(75)) = sin(150) = 1/2

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

3) -1

4) \(-\frac{2}{3}\)

Step-by-step explanation:

Taking the cube root of a number is the same as finding what number times itsef three times equals the number under the radical sign.

\(\sqrt[3]{-1}\)

\(=-1\)

Since (-1) times itself, three times equals (-1).

\(\sqrt[3]{-\frac{8}{27}}\)

\(=-\frac{2}{3}\)

Since (\(-\frac{2}{3}\)) times itself three times equals (\(-\frac{2}{3}\)).

Answer:

b 1

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

   Value of \(10^x\) will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

\(10^0=1\)

\(10^1=10\)

  Therefore, value of \(10^x\) will vary between 1 and 10.

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The number of minutes that it will take to remove all at the same time is: 60 minutes

Given that:

- The scones bake for 15 minutes, the muffins bake  for 12 minutes, and the cookies bake for 10 minutes.

Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.

Based on the above information, the calculation is as follows:

Here we have to determine the L.C.M of each number:

12 = 2 * 2 * 3

15 = 3 * 5

20 = 2 * 2 * 5

Final LCM = 2 * 2 * 3 * 5 = 60

Therefore we can conclude that He will remove all trays at every 60 minutes interval.

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Answer:

The value of the expression is 19.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

hi its me again :3

3oz=85.048g

Step-by-step explanation:

:)

Answer:

502.72cm^3

Step-by-step explanation:

Given data

Height= 10cm

Diameter= 8cm

radius= 4cm

The expression for the volume is given as

V= πr^2h

substitute

V= 3.142*4^2*10

V= 3.142*16*10

V= 502.72 cm^3

Hence the volume is 502.72cm^3

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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Answer:

C

Step-by-step explanation:

Answer:

C

Breh its right their!

a. Probability is denoted as P(z ≥ 1.25). b. Probability is P(z ≤ -0.5). c. Probability is denoted as P(z1 ≤ z ≤ z2). d. The probability is P(z1 ≤ z ≤ z2).

To calculate the probabilities for a normally distributed random variable with μ = 10 and σ = 2, we can use the standard normal distribution and z-scores. We will convert the given values into z-scores and then use the standard normal distribution table or a statistical calculator to find the probabilities.

a. P(x ≥ 12.5):

First, we calculate the z-score for x = 12.5:

z = (x - μ) / σ = (12.5 - 10) / 2 = 1.25

Using the standard normal distribution table or a calculator, we find the probability P(z ≥ 1.25). Let's assume this probability is denoted as P(z ≥ 1.25).

b. P(x ≤ 9):

Similarly, we calculate the z-score for x = 9:

z = (x - μ) / σ = (9 - 10) / 2 = -0.5

Using the standard normal distribution table or a calculator, we find the probability P(z ≤ -0.5). Let's assume this probability is denoted as P(z ≤ -0.5).

c. P(10.88 ≤ x ≤ 15.3):

We calculate the z-scores for both values:

For x = 10.88:

z1 = (10.88 - 10) / 2

For x = 15.3:

z2 = (15.3 - 10) / 2

Using the standard normal distribution table or a calculator, we find the probability P(z1 ≤ z ≤ z2). Let's assume this probability is denoted as P(z1 ≤ z ≤ z2).

d. P(4.72 ≤ x ≤ 12.46):

We calculate the z-scores for both values:

For x = 4.72:

z1 = (4.72 - 10) / 2

For x = 12.46:

z2 = (12.46 - 10) / 2

Using the standard normal distribution table or a calculator, we find the probability P(z1 ≤ z ≤ z2). Let's assume this probability is denoted as P(z1 ≤ z ≤ z2).

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Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following probabilities.

a. P(x ≥ 12.5) b. P(x ≤ 9) c. P(10.88 ≤ x ≤ 15.3) d. P(4.72 ≤ x ≤ 12.46)

Answer: 70.08

Step-by-step explanation:

0.96*73=

Answer:

-p^2-6r^2-2r-8

Step-by-step explanation:

When you simplify it you get that. Hope this helped :)

The solution to the given expression is -8 - 2r - p² - 6r² which is determined by performing the arithmetic operation.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The given expression is given in the question

(10 – 7r - p²) + (-6r² - 18 +5r)

Open the parentheses and rearrange the terms,

10 - 18 - 7r + 5r - p² - 6r²

Apply the arithmetic operation in the likewise terms,

-8 - 2r - p² - 6r²

Therefore, the solution to the given expression is -8 - 2r - p² - 6r²

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A transformation in geometry refers to any operation that changes the position, orientation, or size of a shape while preserving its basic properties. These transformations include translation (sliding), reflection (flipping), rotation (turning), and dilation (scaling).

A series of transformations refers to a sequence of two or more transformations performed one after the other, resulting in a new image of the original shape. The order of transformations matters, since performing them in a different order can lead to a different final image.

For example, if Triangle 3 is a large equilateral triangle and Triangle 1 is a small equilateral triangle, possible series of transformations that Nikki could describe might include:

Translation: Move the large triangle left or right until it is centered over the smaller triangle.

Dilation: Shrink the large triangle by a certain scale factor to match the size of the smaller triangle.

Alternatively, another possible series of transformations that Nikki could describe might include:

Rotation: Rotate the large triangle 60 degrees counterclockwise around its center point to match the orientation of the smaller triangle.

Dilation: Shrink the rotated triangle by a certain scale factor to match the size of the smaller triangle.

There are many other possible combinations of transformations that could be used to go from Triangle 3 to Triangle 1, depending on the specific shapes and properties involved.

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Answer:

Required number is

Step-by-step explanation:

18-(-2)

=18+2

=20 degree celsius

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x