5^3/5^7 leaving your answer in index form

The equation in polar coordinates of the line through the origin with a slope of 1/8 is given by θ = arctan(1/8).

In polar coordinates, a line passing through the origin can be represented by an equation of the form θ = arctan(m), where m is the slope of the line.

Given that the slope of the line is 1/8, substitute this value into the equation: θ = arctan(1/8).

Use a calculator or trigonometric tables to calculate the arctan(1/8):

θ = arctan(1/8) ≈ 0.1244 radians (approximately)

The result is in radians, which is the standard unit for angles in polar coordinates.

The equation in polar coordinates of the line passing through the origin with a slope of 1/8 is θ = arctan(1/8), where θ represents the angle measured in radians.

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8,11,13.6 are the measure of this triangle

The answer is C.

The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).

Best of Luck!

Answer:

A scientist claims that Fabric A is better able to resist fire than Fabric B.

option describes an experiment that will produce evidence that will support or refute her claim is:

C. Hold each type of fabric over a candle flame and time w long it.

Constant of variation, k of the direct variation is 8/5.

Equation -> y = kx

Point (x,y) = (5,8)

Putting the value in the equation,

8 = 5k

k = 8/5

Hence, k = 8/5.

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Answer:

10° C

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

The number that is not equal to the others is d.

a. 0.84% is equal to 0.0084 in decimal form.

b. (0.21)(0.04) is equal to 0.0084.

c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.

d. This is the number that is not equal to the others. We don't have the value of d.

e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.

To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.

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(a) The probability that a call selected at random lasts 4 minutes or less is 0.5(1 - \(e^(^-^e^s^4^)\)), where s is the rate parameter of the probability density function.

(b) The probability that a call selected at random lasts between 7 and 10 minutes is ∫[7,10] 0.5\(e^(^-^e^s^t^)\) dt.

(c) The probability that a call selected at random lasts 4 minutes or less, given that it lasts 7 minutes or less, is P(t ≤ 4 | t ≤ 7).

(a) To find the probability that a call lasts 4 minutes or less, we can integrate the probability density function from 0 to 4. The probability density function is given as f(t) = 0.5\(e^(^-^e^s^t^)\), where t represents the duration of the call and s is the rate parameter. Plugging in the values, we have P(t ≤ 4) = ∫[0,4] 0.5\(e^(^-^e^s^t^)\) dt. Integrating this expression will give us the desired probability.

(b) To find the probability that a call lasts between 7 and 10 minutes, we need to integrate the probability density function from 7 to 10. Using the same probability density function as before, we have P(7 ≤ t ≤ 10) = ∫[7,10] 0.5\(e^(^-^e^s^t^)\) dt. Evaluating this integral will give us the probability.

(c) To find the probability that a call lasts 4 minutes or less, given that it lasts 7 minutes or less, we can use conditional probability. The probability is given by P(t ≤ 4 | t ≤ 7) = P(t ≤ 4 and t ≤ 7) / P(t ≤ 7). The numerator represents the joint probability of a call lasting 4 minutes or less and 7 minutes or less, while the denominator represents the probability of a call lasting 7 minutes or less. By calculating these probabilities separately and dividing them, we can find the desired conditional probability.

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Answer: $ 1.28

Step-by-step explanation:

8% * 16

= 8/100 * 16

= 2/25 * 16

= 32/25

$ 32/25 = $ 128/100 = $ 1.28

8% of $16 is $ 1.28

Answer:

2/3

Step-by-step explanation:

The slope is 2/3 because you can look at the x-intercept which is -2. Find another point where the blue line crosses directly into the corner of the gray lines. The formula is rise/run. A point where the blue line crosses the gray line directly is (1,2). From the point (-2,0) you go up 2 places and then you go right three places to get to the other point. Therefore, your answer is 2/3.

You could also use the formula y1-y2/x1-x2. Now, you plot in the coordinates. 2-0/1--2= 2/3. Still, the answer would be 2/3.

1: A triangle's angles add up to 180

180 - 130 = 50

50 / 2 = 25

x = 25

2: The sides given will be equal as this is a right-triangle

24 = 3(x + 2)

24 = 3x + 6

18 = 3x

x = 6

3: There is a lot of writing so I am unable to see the original triangle

(sorry *nervous sweat*)

4: A triangle's angles add up to 180, and the two sides given will be equal

5y = 20

y = 4

The angles in the bottom-most triangle are all equal to 60 as 180 / 3 = 60.

90 - 60 = 30.

x = 30

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

There are 64 boards in the stack.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

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We know that the bank charges $2.25 per month plus $0.10 per bill paid using the service. Let x be the number of bills paid using the service.

The total cost of the service is:

Cost = 2.25 + 0.10x

We also know that the charges are always between $3.50 and $5.00. So we can write this as an inequality:

3.50 <= Cost <= 5.00

To find the number of bills, we can substitute the expression for cost into the inequality:

3.50 <= 2.25 + 0.10x <= 5.00

We can solve this inequality by isolating x on one side:

0.10x >= 1.25

x >= 12.5

So the number of bills paid using the service is greater than or equal to 12.5.

She could pay exactly 12 bills, 13 bills, 14 bills and so on.

The solution is x >= 12.5

Let's call the number of bills paid per month as "x"

We know that the total cost is:

$2.25 (fixed monthly fee) + $0.10x (cost per bill paid)

We also know that the total cost is between $3.50 and $5.00

Therefore, $3.50 <= $2.25 + $0.10x <= $5.00

To solve for x, we can first isolate x by subtracting $2.25 from both sides of the inequality:

$1.25 <= $0.10x <= $2.50

Now we can divide both sides of the inequality by $0.10 to get:

12.5 <= x <= 25

It means that the number of bills paid per month using the service is between 12 and 25 bills, Debbie can pay at least 12 bills and at most 25 bills.

The rotational symmetry of a regular nonagon is approximately 2.5714. This means that the nonagon can be rotated to three distinct positions (since we typically consider whole numbers of rotational symmetry factors).

The rotational symmetry of a polygon refers to the number of distinct positions that the polygon can be rotated to and still look the same. Each distinct position is called a "rotation symmetry" or "rotation factor."

For a nonagon, which is a polygon with nine sides, the rotational symmetry can be determined by examining the number of degrees in each interior angle. In a regular nonagon, all the interior angles are congruent, and each angle measures:

Interior angle of a regular nonagon = (9 - 2) * 180° / 9 = 140°

To determine the rotational symmetry, we divide a full circle (360°) by the measure of each interior angle. In this case:

Rotational symmetry = 360° / 140°

Rotational symmetry ≈ 2.5714

The rotational symmetry of a regular nonagon is approximately 2.5714. This means that the nonagon can be rotated to three distinct positions (since we typically consider whole numbers of rotational symmetry factors).

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Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

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Answer: 0.0263

Step-by-step explanation:

Given that :

Number of spaces = total possible outcomes = {00, 0 - 36} = 38 possible outcomes

The winning number = required outcome = (number 30) ; hence, number of outcome required to win = 1

Probability of an event = (number of required outcomes / number of total possible outcomes)

P(30 comes up) = 1 / 38

P(30 comes up) = 0.0263157

= 0.026

Answer:

the answer is d

Step-by-step explanation:

have a great day

Answer:

D

Step-by-step explanation:

got it right on edge

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Statement Problem: Calculate the percentage of the income based on the amount used to start the business.

Solution:

The percentage income is;

Thus, we have;

Answer:

Domain: [0, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Our f(x) = √x

We know that we cannot have a negative under the square root. Therefore, we know that our x-values span from 0 to infinity:

[0, ∞) or x ≥ 0

A circular utility tunnel 8 feet in diameter has a 6-foot-wide walkway across its bottom. The radius of the circular utility tunnel is 4 feet and the diameter is 8 feet. The walkway is 6 feet wide which means that the diameter of the walkway is 6 feet.

So, the radius of the walkway is 3 feet. The worker is 6 feet 2 inches tall which is 74 inches. The worker could only walk down the center of the walkway without ducking if his height plus the distance from the center of the walkway to the top of the utility tunnel is less than the radius of the walkway. This can be calculated as follows:

The radius of the walkway = 3 feet distance from the center of the walkway to the top of the utility tunnel

= (8 ft / 2) - 6 ft

= 1 ft

The total distance from the center of the walkway to the top of the utility tunnel = 3 ft + 1 ft

                                                                                                                                     = 4 ft

The worker's height = 6 feet 2 inches = 74 inches

Therefore,

the worker's height + distance from the center to the top = 74 inches + 4 feet (converted to inches)

                                                                                               = 74 inches + 48 inches

                                                                                               = 122 inches

Since the total distance from the center of the walkway to the top of the utility tunnel is 4 feet or 48 inches, and the worker's height plus the distance from the center to the top is 122 inches, which is greater than the radius of the walkway, the worker would have to duck in order to walk down the center of the walkway.

Therefore, the answer is no.

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Answer:

Step-by-step explanation:

5x-4=3x

5x-4+4=3x+4

5x-0=3x+4

5x=3x+4

5x/5=3x+4/5

X=3x+4/5.

Answer:

Step-by-step explanation:

B

Answer:

5 feet

Step-by-step explanation:

The scale factor = 1 inch: 1.25 feet

The length of the Hally = 4 inches

The length of the hallway in real life is calculated as:

1 inch = 1.25 feet

4 inches = x feet

Cross Multiply

x feet = 4 × 1.25 feet

x feet = 5 feet

Therefore, the length of the Hallway in real life is 5 feet

Step-by-step explanation:

y+3=x

or 0=x-y-3... ans

3x+4y=16

or, 3x+4y-16=0 answer.......

Answer:

A

Step-by-step explanation:

Using the k-Nearest Neighbours algorithm with k=1 and the Euclidean metric, the Y_test values for the given test data are [0, 3].

To determine the Y_test values using k-Nearest Neighbours with k=1 and the Euclidean metric, we follow these steps:

Define the training data: X_train contains five samples with corresponding labels Y = [0, 1, 2, 1, 3].

Define the test data: X_test contains two samples, [3,3] and [9,1].

Calculate the Euclidean distance between each test sample and all training samples. For [3,3]:

Distance to [1,1] = sqrt((3-1)^2 + (3-1)^2) = sqrt(8) ≈ 2.83

Distance to [8,3] = sqrt((3-8)^2 + (3-3)^2) = 5

Distance to [2,6] = sqrt((3-2)^2 + (3-6)^2) = sqrt(10) ≈ 3.16

Distance to [9,4] = sqrt((3-9)^2 + (3-4)^2) = sqrt(34) ≈ 5.83

Distance to [7,2] = sqrt((3-7)^2 + (3-2)^2) = sqrt(13) ≈ 3.61

For [9,1]:

Distance to [1,1] = sqrt((9-1)^2 + (1-1)^2) = sqrt(64) = 8

Distance to [8,3] = sqrt((9-8)^2 + (1-3)^2) = sqrt(5) ≈ 2.24

Distance to [2,6] = sqrt((9-2)^2 + (1-6)^2) = sqrt(58) ≈ 7.62

Distance to [9,4] = sqrt((9-9)^2 + (1-4)^2) = 3

Distance to [7,2] = sqrt((9-7)^2 + (1-2)^2) = sqrt(5) ≈ 2.24

Find the closest neighbour for each test sample based on the minimum Euclidean distance:

For [3,3], the closest neighbour is [1,1] with a distance of 2.83.

For [9,1], the closest neighbour is [7,2] with a distance of 2.24.

Retrieve the corresponding labels of the closest neighbours from the training data:

For [3,3], the closest neighbour has a label of 0.

For [9,1], the closest neighbour has a label of 3.

Assign the labels to Y_test:

For [3,3], Y_test = 0.

For [9,1], Y_test = 3.

Therefore, the Y_test values for the given test data are [0, 3].

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Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )