Given f (8) = 2, f' (8) = 7, g (8) = − 1, and g′ (8) = 9, find the values of the following. (a) (fg)' (8) = (b) (1) ² (8) = = Number Number

Answer:

d=25 or d=2

Step-by-step explanation:

hope that helps!

Answer:

d=2/5 or d=2

Step-by-step explanation:

Step 1: Subtract -6d^2 from both sides.

−d2−12d+4−−6d2=−6d2−−6d2

5d2−12d+4=0

Step 2: Factor left side of equation.

(5d−2)(d−2)=0

Step 3: Set factors equal to 0.

5d−2=0 or d−2=0

d= 2/5 or d=2

Answer:

86

Step-by-step explanation:

86 x 3 + 45 x 3.25 = ? If it equals 404.25 than the answer is 86

76 x 3 + 55 x 3.25 = ? If it equals 404.25 than the answer is 76

55 x 3 + 76 x 3.25 = ? If it equals 404.25 than the answer is 55

35 x 3 + 96 x 3.25 = ? If it equals 404.25 than the answer is 35

The number you multiply by 3 is the answer.

86 x 3 + 45 x 3.25 = 404.25

Can i have brainleist i did all this?

Answer:

a) System of equations will be:  \(x+y=500\: and\:5x+2y=1789\)

b) Number of adult tickets sold =  263

Number of students tickets sold =  237

Step-by-step explanation:

Let:

Number of adult tickets sold = x

Number of students tickets sold = y

a)

As Marc sold total 500 tickets, the expression will be: \(x+y=500\)

Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.

The expression will be: \(5x+2y=1789\)

So, system of equations will be:  \(x+y=500\: and\:5x+2y=1789\)

b)

Solve the system to find value of x and y

Let:

\(x+y=500--eq(1)\\5x+2y=1789--eq(2)\)

Multiply equation 1 by 2 and subtract

\(2x+2y=1000\\5x+2y=1789\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\------\\-3x=-789\\x=\frac{-789}{-3}\\x=263\)

We get value of x = 263

Now finding value of y by putting value of x in eq(1)

\(x+y=500\\263+y=500\\y=500-263\\y=237\)

We get value of y = 237

Number of adult tickets sold = x = 263

Number of students tickets sold = y = 237

An approach of assigning probabilities which assumes that all outcomes of the experiment are equally likely is referred to as the "equally likely" or "classical" probability approach

The equally likely or classical probability approach assumes that each possible outcome of an experiment is equally likely to occur. This approach is based on the principle of symmetry and assumes that there is no inherent bias or preference towards any particular outcome

This approach is used for situations where there is no inherent bias or preference towards any particular outcome, and each outcome is considered equally likely to occur.

Therefore, the approach is classical probability approach

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Answer:

The equations are: \(x+ y = 30\)  and  \(x = 3y\).

Step-by-step explanation:

We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.

Let the time spend by Brittany on the stair machine be represented by the variable \(x\).

and the time spend by Brittany on the rowing machine be represented by the variable \(y\).

Now, there are two conditions stated by her trainer;

                           \(x + y = 30 \text{ minutes}\)

                                \(x = 3y\)

So, the equations are: \(x+ y = 30\)  and  \(x = 3y\).

These equations can be solved either using the substitution method or the elimination method.

Answer:

1.yeah

2.no

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Point A is arbitrarily located. We have drawn the circle on a grid, so have made points A and E on orthogonal axes through point O.

1. Point B can be anywhere on the circle except on line AO.

2. Making circle A have the same radius as circle O puts points C and D 120° apart.

3. In this diagram, OF bisects right angle EOA, so central angle EOF is 45°.

Answer:

16

Step-by-step explanation:

5x+1/2y^2

5(3)+1/2(2)^2

15+1^2

15+1=16

Given the points (1,2) and (2,6), we can find the relation function with the slope-point formula for the equation of a line:

we have that the linear function is y=4x-2. Then for x=4 we have the following:

therefore, the missing value is y=14

An expression for the amount of the money left = (5n-7900) cedis

The minimum amount she needs to save each week to be able to afford the gift: n = 7900/5.

The term "word problem" refers to a type of math question where the answer is written as one or more sentences and asks students to use their mathematical understanding to solve a problem from "real world."

Read the problem in its full to get a clear understanding of what you need to do in order to solve it before you start. Following reading it, you may choose which components of the issue need to be resolved the most and which ones are not.

She gets n cedis a week.

she will get n x 5 cedis for 5 wks =5n cedis.

She buys a present worth 7900.

An expression for the amount of the money left = (5n-7900) cedis.

The minimum amount she needs to save each week to be able to afford the gift.

5n-7900 = 0

 n = 7900/5.

 7900/5 = ____ per week

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Answer:

all you have to do id divide each side by the lowest number thats the why where im from taght me

Step-by-step explanation:

Answer:

divide each side by the lowest number and that should give you the answer u want and me the relationship i need lol

Step-by-step explanation:

in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

In the Golden Balls game, there are two players, Player 1 and Player 2. Each player can choose to either "Split" or "Steal." The payoffs for each possible combination of actions are as follows:

If both players choose Split, they both receive a payoff of 50.

If Player 1 chooses Steal and Player 2 chooses Split, Player 1 receives 100, and Player 2 receives 0.

If Player 1 chooses Split and Player 2 chooses Steal, Player 1 receives 0, and Player 2 receives 100.

If both players choose Steal, they both receive a payoff of 0.

To find all the pure strategy Nash equilibria, we need to identify any strategies where neither player has an incentive to deviate unilaterally.

Pure Strategy Nash Equilibria:

(Split, Split): This is a pure strategy Nash equilibrium because if both players choose Split, neither player can improve their payoff by unilaterally changing their strategy to Steal.

Now let's consider mixed strategy Nash equilibria, where players randomize between their available strategies.

Mixed Strategy Nash Equilibrium:

To find the mixed strategy Nash equilibrium, we need to examine whether there exists a probability distribution over strategies that maximizes the expected payoff for each player, given the other player's strategy.

In this case, there is no mixed strategy Nash equilibrium since Player 2's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 1. Similarly, Player 1's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 2.

Therefore, in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

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The number of lines that can be drawn parallel to plane P that passes through point A is 1.

From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.

Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.

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Answer:

34

Step-by-step explanation: goes up in 7's

In the random sample of 17 students in this group, the probability of the average height being 73-75 inches is about 0.014, or 1.4%.  

Let the heights be normally distributed with a mean of 70 inches and a standard deviation of 3 inches.

If we sample 17 students from this group, the distribution of the sample mean will also be approximately normal, with a mean of 70 inches and a standard deviation of 3/sqrt(17) inches (according to the central limit theorem).

This sample average interval can be normalized by the following formula:

z = (x - μ) / (σ / sqrt(n))

where x =sample mean,

μ = population mean,

σ= population standard deviation,

and n = sample size.

For the lower bound of 73 inches, the standardized values ​​are:

z1 = (73 - 70) / (3 / sqrt(17)) ≈ 2.25

For the upper limit of 75 inches, the standardized values ​​are:

z2 = (75 - 70) / (3 / sqrt(17)) ≈ 3.87

Find the probability that the sample mean is between these two values. This probability can be found by finding the area under the standard normal curve between z1 and z2 using a standard normal distribution table or calculator.

P(2.25 < z < 3.87) ≈ 0.014

So, in her random sample of 17 students in this group, the probability of the average height being 73-75 inches is about 0.014, or 1.4%.  

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Answer:

\(\frac{70 - 40}{40}*100\)

Step-by-step explanation:

Use the percent increase formula:

The final value is 70, because that's what they end with.

The initial value is 40, because that's what they start with.

Percent Increase = \(\frac{Final Value - Initial Value }{Initial Value} *100%\)

Answer:

C) 76

Step-by-step explanation

I have attached the work for this problem.

To build a garden of 4 feet Deja needs 12 small bricks.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.

Therefore, the number of bricks required is,

= 4/(1/3).

= 4×(3/1).

= 12 bricks.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

the first one:

f ^ - 1 * (x) = 5/(x + 4) - 2

hope it helps:)

The difference is 5 kilometers. Therefore, the plane will be 5 kilometers above the ground level when it passes directly over the airport.

(a) The plane will pass directly over the airport at 5:00 PM.

The  time at which the plane passes directly over the airport can be determined by calculating the time it takes for the plane to reach the airport from its initial position. Since the distance between the two points is known and the velocity of the plane is given, the time can be calculated by dividing the distance by the velocity.

These involves calculating the distance between the initial position of the plane and the position of the airport. The distance formula in three-dimensional space is used, which is given by the square root of the sum of the squares of the differences in the x, y, and z coordinates. By substituting the values, we can calculate the distance between the two points.

Next, we divide the distance by the magnitude of the velocity vector to obtain the time it takes for the plane to travel from the initial position to the airport. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. By dividing the distance by the magnitude of the velocity, we obtain the time in hours.

Adding the time it takes to reach the airport (calculated from the initial position) to the time of noon, we can determine the time at which the plane will pass directly over the airport.

(b) The plane will be 20 kilometers above the airport when it passes.

The  height of the plane above the airport when it passes can be determined by subtracting the z-coordinate of the airport from the z-coordinate of the initial position of the plane.

These involves comparing the z-coordinate of the airport (which is 0) to the z-coordinate of the initial position of the plane (which is 5). By subtracting the z-coordinate of the airport from the z-coordinate of the initial position, we obtain the height of the plane above the airport.

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Answer:

9(x+y)

(3x + 3y) 3

Answer:

A) 100+55x > 150+51x

B) x>12.5

C)13

Step-by-step explanation:

Bc I said so lol :)

Answer:

again hello dude :D

answers are at the photos

GOOD LUCK :D

Step-by-step explanation:

greetings from Turkey ツ

Answer:

x=4.

Step-by-step explanation:

Let's solve your equation step-by-step.

5/15=x/ x+8

Step 1: Cross-multiply.

5/15=x/ x+8

5*(x+8)=x*(15)

5x+40=15x

Step 2: Subtract 15x from both sides.

5x+40−15x=15x−15x

−10x+40=0

Step 3: Subtract 40 from both sides.

−10x+40−40=0−40

−10x=−40

Step 4: Divide both sides by -10.

−10x−10=−40−10

Then your answer will be x=4.

The value of x that is not included in the domain of the function is 0, because it makes the expression undefined. This is because division by zero is undefined.

The given function is:y = 1/x + 12The value of x that is not included in the domain of the function can be found by analyzing the expression for the function’s domain. The denominator of the expression cannot be equal to 0, otherwise the expression will be undefined. Thus, it can be stated that x can be any real number except for 0.

The domain of the given function is all real numbers except for 0. When the value of x is 0, the denominator becomes zero, which makes the value of y infinite or undefined. In mathematical terms, we can represent this situation as follows:y = 1/0 + 12 => y = ∞. Hence, the value of x that is not included in the domain of the function is 0, because it makes the expression undefined. This is because division by zero is undefined.

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Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

To express a point given in Cartesian coordinates (x, y, and z) in cylindrical coordinates (r,, and z), we need to use some trigonometry. Here's how it works:
First, we need to find the distance from the origin to the point in question. This distance is given by the formula:
r = sqrt(x2 + y2)
where sqrt() means "square root" and 2 means "squared". So we take the square of the x-coordinate, add it to the square of the y-coordinate, and then take the square root of the result. This gives us the distance from the origin to the point in the x-y plane.
Next, we need to find the angle that the point makes with the positive x-axis. This angle is given by the formula:
= arctan(y/x)
where arctan() means "inverse tangent." This formula gives us the angle in radians (not degrees) between the positive x-axis and the line from the origin to the point. Note that we need to be careful about the signs of x and y when using this formula since arctan() can only give us angles between -pi/2 and pi/2 (i.e., the first and fourth quadrants).
Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

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Therefore, the point (3,4,5) in Cartesian coordinates can be expressed in cylindrical coordinates as (5,0.93,5), where r = 5, θ ≈ 0.93 radians, and z = 5.

Sure, I can definitely help you with that! To express a point given in Cartesian coordinates (x,y,z) in cylindrical coordinates (r,θ,z), we use the following formulas:

r = √(x^2 + y^2)
θ = arctan(y/x)
z = z

So, if we have a point (x,y,z) in Cartesian coordinates, we can convert it to cylindrical coordinates using these formulas. For example, let's say we have the point (3,4,5) in Cartesian coordinates. To express this point in cylindrical coordinates, we first find r, θ, and z using the formulas above:

r = √(3^2 + 4^2) = √25 = 5
θ = arctan(4/3) ≈ 0.93 radians
z = 5


I hope this helps! Let me know if you have any further questions or if you need me to explain anything in more detail.

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1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter

hope you understood well and if not and you can ask again

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

hope this helps!

Answer:

C) 11.4

Step-by-step explanation: