find the exact value of each of the following under the given conditions calculator tan alpha = 3/4

Answer:

First blank: 11 Second blank: 12

Step-by-step explanation:

Since this is a parallelogram AB is parallel to DC and AD is parallel to BC.

Another thing the image includes is the lengths from the points, the opposing points have equal distances from the midpoint.

Answer:

A. 11

B. 12

Step-by-step explanation:

The length AD of  is  11  centimeters and the length of DC is  12  centimeters.

Correct for plato

Answer:

(0, 4)

Step-by-step explanation:

Let's solve the equation 3y - 2x = 12 to find the correct ordered pair.

Given: 3y - 2x = 12

To find the ordered pair, we can assign a value to one variable and solve for the other variable.

Let's assign x = 0:

3y - 2(0) = 12

3y = 12

y = 12/3

y = 4

Therefore, the correct ordered pair for the equation 3y - 2x = 12 is (0, 4).

The ordered pair for the equation 3y - 2x = 12 is (0, 4) and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\boxed{\bold{\text{m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}}}\)

Given the equation:

Plug x = 0 and y = 4

\(\sf 3(4) - 2(0) = 12\)

\(\boxed{\bold{12 = 12 \ (true)}}}\)

Similarly for checking the other ordered pairs.

Thus, the ordered pair for the equation 3y - 2x = 12 is (0, 4) and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

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The median age of the presidents at their death is 69.

The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.

The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.

The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

In this case, the number of data points is even, that is 38. So, the median is:

= {(n + 1) / 2}th

= {(38 + 1) / 2}th

= 19,5th

Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:

Median = (68 + 70) / 2

Median = 138 / 2

Median = 69

Hence, the median age of the presidents at their death is 69.

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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.

46 58 64 68 73 80 90

49 60 65 70 74 81 93

53 60 66 71 77 83

56 63 67 71 78 85

56 63 67 71 78 88

57 64 67 72 79 90

What is the median age of the presidents at their death?

A. 69

C. 68

b. 67.5

d. 70

Answer:

Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....

This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....

I have to be honest being a five tear old the answer confused me, but I finally

figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!

Step-by-step explanation:

Mk

Answer:

\(v = \frac{b \times h \times l}{2} \\ \frac{12 \times 6 \times 14}{2} \\ = 504\)

Answer: 10 wreaths

Step-by-step explanation:

First identify the terms.

She has a booth that cost $200. This price will not change thus making it a Fixed cost.

Making a wreath would cost her $10 each time so this is a Variable cost.

She sells the wreath for $30 so this is the selling price.

Breakeven = Fixed Cost / Contribution margin

Contribution margin = Selling price - Variable cost

= 30 - 10

= $20

Breakeven point = 200/20

= 10 wreaths

Answer:

4 1/3 inches   Smaller piece

16 2/3 inches   Larger piece

Step-by-step explanation:

x + (2x + 8) = 21

3x + 8 = 21

3x = 13

x = 13/3

x = 4 1/3 inches   Smaller piece

2x + 8 = 8 2/3 + 8

2x + 8 = 16 2/3 inches   Larger piece

Let us designate the box's width as x inches. According to the information provided, the length is three inches longer than the width, hence the length is (x + 3) inches. The height is specified as ten inches.

We multiply the length, width, and height of the box to determine its volume. So far, we have:

540 = (x + 3) x 10 Volume = Length Width Height

Extending this equation yields:

540 = 10x^2 + 30x

The equation is now rearranged to become a quadratic equation:

10x^2 + 30x - 540 = 0

This equation may be simplified by dividing all of the terms by ten:

x^2 + 3x - 54 = 0

We may get the potential values for x by factoring or using the quadratic formula. Because width cannot be negative, we eliminate -9, leaving us with the box's width of 6 inches.

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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The EXPERIMENTAL REGION is the range of values of the independent variables in the data used to estimate the regression model.

According to the statement

There is a region where the range of values of the independent variables in the data used to estimate the regression model.

AND

Those region is called EXPERIMENTAL REGION

So, Experimental region is called a those region in which the region within which we can make valid predictions and doesn't go outside of the bounds of the data we were provided.

So, The EXPERIMENTAL REGION is the range of values of the independent variables in the data used to estimate the regression model.

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The vertical compression by a factor of 0.5, reflection across the y-axis, vertical translation 3 units down, vertical stretch by a factor of 0.5, reflection across the x-axis, vertical translation 3 units up, and vertical translation 0.5 units down.

1. Vertical compression by a factor of 0.5: This means that the graph will be compressed vertically, making it narrower. Each y-coordinate of the original graph is multiplied by 0.5.

2. Reflection across the y-axis: This means that the graph will be flipped horizontally. Each x-coordinate of the original graph is multiplied by -1.

3. Vertical translation 3 units down: This means that the entire graph will be shifted downwards by 3 units. Each y-coordinate of the original graph is decreased by 3.

4. Vertical stretch by a factor of 0.5: This means that the graph will be stretched vertically, making it taller. Each y-coordinate of the graph after vertical compression is multiplied by 2.

5. Reflection across the x-axis: This means that the graph will be flipped vertically. Each y-coordinate of the graph after vertical compression and stretching is multiplied by -1.

6. Vertical translation 3 units up: This means that the entire graph will be shifted upwards by 3 units. Each y-coordinate of the graph after vertical compression, stretching, and reflection across the x-axis is increased by 3.

7. Vertical translation 0.5 units down: This means that the entire graph will be shifted downwards by 0.5 units. Each y-coordinate of the graph after vertical compression, stretching, reflection across the x-axis, and vertical translation upwards is decreased by 0.5.

In summary, the given transformations result in a graph that is vertically compressed by a factor of 0.5, reflected across the y-axis, vertically translated 3 units down, vertically stretched by a factor of 0.5, reflected across the x-axis, vertically translated 3 units up, and finally vertically translated 0.5 units down.

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Answer:

f > -1

Step-by-step explanation:

I hope this helps!

a. Simple interest: around 14.29 years.

b. Annual compound interest: about 5 years.

c. Continuous compound interest: roughly 4.95 years.



a. With a 14 percent simple interest rate, the time it takes for a sum to double can be calculated using the formula:Time = (100 / interest rate) * 2

In this case, the interest rate is 14 percent, so the time it takes for the sum to double is:Time = (100 / 14) * 2 = 14.29 years (approximately).

b. With a 14 percent interest rate compounded annually, the time it takes for a sum to double can be calculated using the compound interest formula:Time = log(2) / log(1 + (interest rate / 100))

Substituting the values, the time it takes for the sum to double is:

Time = log(2) / log(1 + (14 / 100)) = 5.00 years (approximately).

c. With a 14 percent interest rate compounded continuously, the time it takes for a sum to double can be calculated using the formula:

Time = ln(2) / (interest rate / 100)

Using the values, the time it takes for the sum to double is:

Time = ln(2) / (14 / 100) = 4.95 years (approximately).

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Answer:

Step-by-step explanation:

What do you need me to do? Add? Subtract? Solve?

Answer:

2.4

Step-by-step explanation:

To Find :-

Solution :-

Points are (-2,-2) and (3,10)

Therefore ,

> m = -2-10/ -2-3

> m = -12/-5

> m = 2.4

The area of the figure formed from a triangle and a parallelogram is 22 sq units

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

Figure formed from a triangle and a parallelogram

The area is

Area = Triangle + Parallelogram - Common area

Using the area formulas, we have

Area = 5 * 4 + 1/2 *8 * 3 - 1/2 * 4 * 5

Evaluate

Area = 22

HEnce. the area is 22 sq units

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Step-by-step explanation:

I know the last one is : A.)letter M.

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

step-by-step explanation

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer:

Not sure

Step-by-step explanation:

The sum of the infinite geometric series 3 - 2 + 4/3 - 8/9 + ... is approximately 1.8.

To evaluate the infinite geometric series 3 - 2 + 4/3 - 8/9 + ..., we need to determine if the series converges or diverges.

First, we can find the common ratio, denoted by r, by dividing any term by its previous term. In this case, if we divide each term by its previous term, we get:

(3/(-2)) = -1.5
((4/3)/(-2)) = -0.6667
((-8/9)/(4/3)) = -0.6667

We can see that the common ratio is -0.6667.

Next, we need to check if the absolute value of the common ratio, denoted by |r|, is less than 1. In this case, |r| = 0.6667, which is less than 1.

Since |r| < 1, we can conclude that the series converges.

To find the sum of the infinite geometric series, we can use the formula:
S = a / (1 - r)
where S is the sum of the series, a is the first term, and r is the common ratio.

In this case, the first term (a) is 3 and the common ratio (r) is -0.6667.

Plugging these values into the formula, we get:

S = 3 / (1 - (-0.6667))
S = 3 / (1 + 0.6667)
S = 3 / 1.6667

Calculating this expression, we get:
S ≈ 1.8
Therefore, the sum of the infinite geometric series 3 - 2 + 4/3 - 8/9 + ... is approximately 1.8.

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 50 is  your sample size have to be, at minimum in standard deviation.

What is standard deviation?

We want n * p  and n * ( 1 - p ) both atleast 10.

                        0.2  * n ≥  10

                           n ≥    10/0.2

                              n ≥   50

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The probability that the person reaches 10 before he reaches -5 is 0.475.

The probability of reaching 10 before reaching -5 in a random walk can be found using the concept of expected number of steps to reach a state. In this case, we can calculate the expected number of steps required to reach 10 and -5, and then compare the results.

E10 = 1 + 1/2 × E10 + 1/2 × E9

E9 = 1 + 1/2 × E10 + 1/2 × E8

Substituting the expression for E9 into the equation for E10, we get:

E10 = 1 + 1/2 × E10 + 1/2 × (1 + 1/2 × E10 + 1/2 × E8)

E10 = 1 + 3/4 × E10 + 1/4 × E8

Eliminating E10, we get:

E8 = 4 × (E10 - 1)

Substituting the expression for E8 into the equation for E10, we get:

E10 = 1 + 3/4 × E10 + 1/4 × 4 × (E10 - 1)

E10 = 20

So the expected number of steps to reach 10 is 20.

E-5 = 1 + 1/2 × E-4 + 1/2 × E-5

E-4 = 1 + 1/2 × E-5 + 1/2 × E-3

Substituting the expression for E-4 into the equation for E-5, we get:

E-5 = 1 + 1/2 × (1 + 1/2 × E-5 + 1/2 × E-3) + 1/2 × E-5

E-5 = 1 + 3/4 × E-5 + 1/4 * E-3

Eliminating E-5, we get:

E-3 = 4 × (E-5 - 1)

Substituting the expression for E-3 into the equation for E-5, we get:

E-5 = 1 + 3/4 × E-5 + 1/4 × 4 × (E-5 - 1)

E-5 = 26

So the expected number of steps to reach -5 is 26.

The probability of reaching 10 before reaching -5 is calculated by dividing the expected number of steps required to reach 9 (E9) by the expected number of steps required to reach 10 (E10). The reason for this is that the person will reach 9 after taking 19 steps, which is one step short of reaching 10. Hence, we can consider reaching 9 as an intermediate milestone before reaching 10.

P(10 before -5) = E9 / E10

Since the person has a 1/2 probability of moving one step in either direction, the expected number of steps required to reach 9 (E9) is given by:

E9 = 1 + 1/2 * E10 + 1/2 * E8

E9 = 1 + 1/2 * 20 + 1/2 * E8

E9 = 19/2

So, the probability of reaching 10 before reaching -5 is given by:

P(10 before -5) = E9 / E10

P(10 before -5) = 19/2 / 20

P(10 before -5) = 19/40

P(10 before -5) = 0.475

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We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

Answer:

True

Step-by-step explanation:

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

Answer:

\(q < 33\)

Step-by-step explanation:

\(q < 11 \times 3\)

\(q < 33\)

Answer:

33

Step-by-step explanation:

q/3<11

q=11×3

q=33

:. The answer is 33.

Parallel Lines

Given the equation of a line as:

y = mx + c

The variable m represents the slope or the gradient of the line, and c represents the y-intercept of the line.

If two lines are parallel, they have the same gradient, i.e., their value of m is equal for both and c is different. Note if c was equal also, both lines would be exactly the same, not parallel.

We are given a number of pairs of lines and we must identify which pairs are parallel lines.

a) y = 3x + 4, y = 3x - 8

Comparing the values of m (the coefficient of x) in both equations, we conclude they are parallel lines since m=3 for both and c is different.

b) y = 2x - 17 , y - 2x = 17

We must express the second equation with the y isolated at the left side:

y = 2x + 17

Both lines have the same value of m=2 and different values of c, so they are parallel.

c) y = x - 4 , y = -2x - 4

The first gradient is m=1 and the second gradient is m=-2, thus these lines are not parallel

d) 3y + 3x = 9 , y = x + 3/2

Divide the first equation by 3:

y + x = 3

And solve for y:

y = -x +3

The gradient of this line is -1 and the gradient of the other line is m=1, thus these lines are not parallel.

e) 2x = y + 8 , 2y = x + 8

Solving for y both equations:

y = 2x - 8

y = x/2 + 4

The gradients are m=2 and m=1/2 respectively, thus these lines are not parallel.

f) 3 - x = 3y , y - 3x = 5

Solving for y:

y = -x/3 + 1

y = 3x + 5

The gradients are, respectively m=-1/3 and m=3, thus these lines are not parallel.

g) 4y + 8x = 0 , y = 22 - 2x

Solving for y and rearranging:

y = -2x , y = -2x + 22

The gradients are m=-2 for both lines and the values of c are different, thus these lines are parallel.

h) y = 2x - 8 , 8y + 8x = 9

Solving the second equation for y:

y = -x + 9/8

The gradients are, respectively m=2 and m=-1, thus these lines are not parallel.

The following image summarizes the results by circling the pairs of parallel lines as required.

No, the student is not correct. There is nothing wrong with Python based on the observed outcome of 7 heads and 3 tails in 10 coin tosses.

The outcome of 7 heads and 3 tails can occur within the realm of possibility when simulating fair coin tosses. In fact, if you were to repeat the simulation multiple times, you would likely see a range of different outcomes, including 7 heads and 3 tails.

Python provides various libraries and functions for random number generation, such as `random` or `numpy`, which are widely used and trusted for simulations. These libraries use well-established algorithms to generate pseudo-random numbers that approximate true randomness for most practical purposes.

It's important to understand that randomness inherently includes variability and the possibility of observing unexpected outcomes. In a small number of trials, the observed outcomes may deviate from the expected probabilities.

Therefore, the student's claim that something is wrong with Python based solely on the observed outcome of 7 heads and 3 tails in 10 coin tosses is not justified. The outcome falls within the range of what can be expected through chance and randomness.

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No, the student's claim that there is something wrong with Python is incorrect. Python is a programming language that can be used to simulate coin tosses accurately. The result of 7 heads and 3 tails obtained by the student's simulation is not unexpected or indicative of an error in Python.

Python is a versatile programming language commonly used for data analysis, scientific computing, and simulations. Simulating a coin toss in Python involves using random number generation to represent the probability of heads or tails. Since a fair coin has an equal probability of landing on heads or tails, the outcome of a large number of coin tosses should be close to a 50% heads and 50% tails distribution.

In the case of the student's simulation, getting 7 heads and 3 tails in 10 coin tosses is within the range of possible outcomes. While it may not perfectly reflect the expected 50/50 distribution due to the small sample size, it does not suggest any issue with Python itself. To gain more confidence in the simulation's accuracy, the student could run the simulation multiple times with a larger number of tosses and compare the results to the expected probabilities.

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(a) The population in 2022 cannot be determined with the given information.

(b) The logarithmic form of 6^7 = 279936 is log base 6 of 279936 = 7.

(a) To find the population in 2022, we need additional information such as the growth rate or any relevant data about population changes between 2004 and 2022. Without this information, we cannot determine the population in 2022 solely based on the data provided.

(b) The logarithmic form allows us to express an equation in terms of a logarithm. For the equation 6^7 = 279936, we can rewrite it in logarithmic form as log base 6 of 279936 = 7.

In other words, if we raise 6 to the power of 7, it equals 279936. The logarithmic form tells us that the exponent we need to raise the base 6 to in order to obtain 279936 is 7. Logarithms provide a useful way to solve equations and analyze exponential relationships.

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(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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