You correctly answered two thirds of the questions there were 75 questions how many did you answer correctly

Answer:

BD = BE

Step-by-step explanation:

If BD = BE , angle BED = angle BDE.

Because they are in a same triangle.

And also they are congruent.

Answer:

∠ ZWV = 39°, ∠ ZVW = 64° , x = 1

Step-by-step explanation:

∠ ZWV = ∠ ZYX = 39° ( alternate angles )

∠ ZVW = ∠ ZXY = 64° ( alternate angles )

The diagonals bisect each other , so

YZ = ZW

3x + 2 = 5 ( subtract 2 from eavh sides )

3x = 3 ( divide both sides by 3 )

x = 1

There will always be at least two blue balls that are adjacent to each other.

To show that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other, we can use the Pigeonhole Principle.

First, let's consider the worst-case scenario, which is when the blue balls are arranged such that they are as spread out as possible. In this case, we can imagine that the 15 white balls are arranged in a straight line, with 7 blue balls and 8 green balls interspersed in such a way that there are no two blue balls that are adjacent to each other.

Now, let's place each of the 7 blue balls in a pigeonhole that corresponds to their position in the line. Specifically, the first blue ball goes in the first pigeonhole, the second blue ball goes in the second pigeonhole, and so on, until the seventh blue ball goes in the seventh pigeonhole.

Since there are only 7 pigeonholes and 7 blue balls, at least one pigeonhole must contain two blue balls. And since the only way for two blue balls to be in the same pigeonhole is for them to be adjacent to each other in the line, we have shown that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other.

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Answer:

15.75 miles

Step-by-step explanation:

You would do 2.25 times 7 (the amount of days in the week)

Answer:

Linear Function

Step-by-step explanation:

A linear function has constant slope

That means the ratio of y differences to x differences must be the same throughout the function. In other words the rate of change of the function y value is the same throughout the function

IF we look at the table we see that as x increases by 1, y decreases by 15

For example at x = 0, y = 20 and at x = 1, y = 5

So change in y/change in x = 0  = (5-20)/(1-0) = -15/1 = -15

If we look at another pair of points, say x = 1, y=5 and x = 2, y = -10

we get the rate of change = (-10 - 5)/(2-1) = -15/1 = -15

This is the same for any two x, y pair of values

So it is a linear function

Answer:

Its D  -2

Step-by-step explanation:

Took the test on plato /edmentum made a 100%

Answer:

Opposite

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Using Euler's method with 4 steps, the approximate value of y(5) is 0.486.

Euler's method is a numerical approximation technique used to solve ordinary differential equations. Given the differential equation dy/dx = 2x+y/x and the initial condition y(2) = 0.22, we can approximate the value of y(5) using Euler's method with n = 4 steps.First, we need to determine the step size, h, which is calculated as the difference between the endpoints divided by the number of steps. In this case, h = (5-2)/4 = 1/4 = 0.25.

Next, we use the following iterative formula to compute the approximate values of y at each step:

y(i+1) = y(i) + h * f(x(i), y(i)),where x(i) is the current x-value and y(i) is the current y-value.Using the given initial condition, we start with x(0) = 2 and y(0) = 0.22. We then apply the iterative formula four times, incrementing x by h = 0.25 at each step, to approximate y(5). The final approximation is y(5) ≈ 0.486.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

from the question, we have the following parameters that can be used in our computation:

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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The range for the rod will be  11.218  - 11.812 feet

Given,

A factory has a machine that makes steel rods. The length of the rods that the machine makes feet.

Mean, μ = 11.5 feet

Standard deviation, σ = 0.3

The factory manager does not want to use the rods from the bottom 20% and the top 15%.

We have to find the length of the rods that the machine makes follows a normal distribution curve.

Here,

The factory manager doesn't want percentile 0-20 and percentile 85-100.

Here,

We have to know the z score of percentile 20 and 85.  

Z-score of percentile 20 is -0.94, then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × (-0.94)

x=  11.5 feet-  0.282 feet

x=  11.218 feet  

Z-score of percentile 85 is +1.04 then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × 1.04

x=  11.5 feet+ 0.312 feet  

x=  11.812 feet

Therefore,

The range for the rod will be  11.218  - 11.812 feet

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Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

Answer:C-34

Step-by-step explanation:

Answer:

Step-by-step explanation:

2m

______

2

______ X 0m X 0

1

= 0

Answer:

(3y+z)/20

Step-by-step explanation:

Begin by moving 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

The required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The following equation is

20x - 3y = z

According to given question we have

The equation is

20x - 3y = z

By simplifying we have to solve in terms of x

By move 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

Therefore, the required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

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Answer:

I think it's 3,600

Step-by-step explanation:

multiplication

a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

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x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer: 6.56

Step-by-step explanation:

Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:

6 × 9 = 54

54 + 5 = 59

59 ÷ 9 = 6.555556

That's it folks! The answer to 6 5/9 in decimal form is displayed below:

6 5/9 ≈ 6.56

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

Answer:

x = 3

Step-by-step explanation:

x + x + x could also be written as 3x, and count the number of "1's" given on both sides:

3x + 4 = 13

=> subtract 4 on both sides of "="

3x = 9

=> Divide by 3 on both sides of "="

x = 3

Hope this helps!

Answer:

x=3

Step-by-step explanation:

I believe the answer would be x is equal to 3.

If you first create the equation you get 3x*4= 13

There are 3 green 'x' so that is 3x. The four orange boxes can be represented as 4, and the 13 orange boxes can be represented as 13.

Then, you solve the equation.

3x * 4 =13

Subtract 4 from both sides.

3x= 9

And simplify.

x=3.

I hope this helps! (:

Answer:

Proved: \(c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}\)

Step-by-step explanation:

Given: A triangle

To prove: \(\frac{\sin A}{a}=\frac{\sin C}{c}\)

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

\(\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)\)

In ΔBDC,

\(\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)\)

From equations (i) and (ii),

\(c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}\)

Hence proved

Answer:

Step-by-step explanation:

There we go :))

Answer:

2/3 because they have something to do with five

Step-by-step explanation:

Answer:

(- 3, 2 )

Step-by-step explanation:

Given the 2 equations

x + 3y = 3 → (1)

- 2x + 3y = 12 → (2)

Subtract (1 ) from (2) term by term to eliminate y

- 2x - x + (3y - 3y) = 12 - 3

- 3x = 9 ( divide both sides by - 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (1)

- 3 + 3y = 3 ( add 3 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (- 3, 2 )

Our estimate fraction is approximately 15 1/4.

To estimate 2 3/4 + 5 2/7 + 3/4, we can use rounding to make the calculation simpler. First, we can round the fractions to the nearest quarter, which gives us 2 3/4 + 5 2/4 + 1/4. Then, we can add the whole numbers together, which gives us 7.

Next, we can add the fractions. To do this, we need to find a common denominator. In this case, the common denominator is 4. We can convert 2 3/4 to 11/4 and 5 2/4 to 22/4. Then, we can add the fractions, which gives us 33/4.

Finally, we can add the whole number and the fraction together to get our estimate. 7 + 33/4 is equivalent to 7 + 8 1/4. Therefore, our estimate is approximately 15 1/4.

It is important to note that this is only an estimate and may not be completely accurate. To get the exact answer, we would need to add the mixed numbers and fractions using a common denominator.

However, this method of estimation can be useful when we need to quickly approximate the solution to a math problem.

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