What are the coordinates of point D find the slope

The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

Answer:

By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation

AC = GJ

AB = HG

So then the change in BCA is Double of GHJ

Step 1

Given; What equation results from completing the square and then factoring? x2 + 4x = 5

A.(x + 2)2 = 7

B.(x + 2)2 = 1

C.(x + 2)2 = 9

D.(x + 2)2 = 3

Answer: 5n + 13

Step-by-step explanation:

Answer:

5n + 13

Step-by-step explanation:

like terms are the ones with the same pronumerals (letters)

Answer:

5x+4

Step-by-step explanation:

the answer is A 47

Step-by-step explanation:

48+24÷8-2²

48+3-2²

48+3-4

=47

hope it helps!

a) c- value is 10/9. b) The density function is skewed to the right, skewed to the left, or symmetric based on the shape of the curve.

To evaluate the constant c, we need to integrate the probability density function (PDF) f(x) over its domain and set it equal to 1 since it represents a valid probability distribution.

The PDF is given as f(x) = c(1 + x)(1 – x²) over the domain -1 < x < 1.

To find c, we integrate f(x) from -1 to 1

1 = ∫[from -1 to 1] c(1 + x)(1 – x²) dx

syms x c

\(pdf = c * (1 + x) * (1 - x^2);\)

integral = int(pdf, x, -1, 1);

solve(integral == 1, c)

Now, to plot the probability density function over the domain (-1, 1), we can use MATLAB's plotting capabilities. Here's an example code snippet:

syms x c

\(pdf = c * (1 + x) * (1 - x^2);\)

\(c_{value}\) = 10/9;

% Replace with the actual value of c obtained from the previous step

\(f_{plot}\)(pdf, [-1, 1])

\(x_{label}\)('x')

\(y_{label}\)('f(x)')

title('Probability Density Function')

Replace \(c_{value}\) with the actual value of c obtained from the previous step. Running this MATLAB code will generate a plot of the probability density function over the domain (-1, 1).

To determine whether the density function is skewed to the right, skewed to the left, or symmetric, we can examine the shape of the plotted PDF curve. If the curve is asymmetrical and the tail extends more to the right, it is skewed to the right. If the tail extends more to the left, it is skewed to the left. If the curve is symmetrical, it is symmetric.

By observing the plot, you can determine whether the density function is skewed to the right, skewed to the left, or symmetric based on the shape of the curve.

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The solution to the inequality are the region in the shaded area and the graph is attached

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

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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The answer is 15 because you have two equal signs so they add up and that's why it gives that answer

Answer:

The confidence interval is (657.18, 661.02)

or , CI = 659.1 ± 1.922

Step-by-step explanation:

We have to ind the 95% confidence interval,

Mean = Y = 659.1

Standard Deviation = s(Y) = 19.9

Confidence level = 95%

Alpha value = (1 - 0.95)/2

Alpha value = 0.025

So,

This gives a z value of,

z = - 1.96

Now, there are 412 districts so, n = 412

so,

The upper limit is,

Upper limit =  UL = Y + z(s(Y))/sqrt(n)

\(UL = Upper limit = Y + z(s(Y))/\sqrt{n}\\UL = 659.1 + (1.96)(19.9)/|sqrt(412)\\UL = 661.02\)

Lower limit is,

LL = Y - z(s(Y))/sqrt(n)

\(LL = 659.1 - (1.96)(19.9)/\sqrt{412}\\LL = 657.18\)

Hence the confidence interval is (657.18, 661.02)

Answer:

An acute triangle - interior angles are always less than 90 degrees with different side measures.

An obtuse triangle - one of the interior angles is more than 90 degrees. if one angle measures more than 90 degrees, then the sum of the remaining two angles is less than 90 degrees.

An right triangle -  a triangle with a right angle (90 degrees)

Equilateral triangle has three equal sides. Isosceles triangles has two equal side lengths. Scalene triangles has no equal side lengths

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

The results of the arithmetic evaluations as given in the task content are; 40,42 and 62.

The arithmetic operations above can be evaluated and simplified as follows;

(11-8)x3+7+27-3 = (3×3)+7+27-3 = 40.

(18÷3)+6+(14-8)x5 = (6)+6+(6)x5 = 42.

(11-7)x6+4+32-4 = (5×6) +4 +32-4 = 62.

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The correct procedure to show the converse of the Pythagorean theorem using the given side lengths is:

D. Knowing that \(9^2 + 12^2 = 15^2,\) draw the 9 cm side and the 12 cm side with a right angle between them. The 15 cm side will fit to form a right triangle.

In the converse of the Pythagorean theorem, if the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is a right triangle. Option D correctly states the condition and demonstrates how to draw the sides to form a right triangle.

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Answer:

\(\dfrac{-3}{5}\)

Step-by-step explanation:

It is given that a terminal ray that passes through the point (4,-3).

x = 4

y = -3

Using Pythagoras theorem, the value of hypotenuse is

\(r=\sqrt{x^2+y^2}\)  

\(r=\sqrt{(-3)^2+(4)^2}\)  

\(r=\sqrt{9+16}\)  

\(r=\sqrt{25}\)  

\(r=5\)

We, know that

\(\sin \theta = \dfrac{y}{r}\)

\(\sin \theta = \dfrac{-3}{5}\)

Therefore, the value of \(\sin \theta\) is \(\dfrac{-3}{5}\).

Answer:

Step-by-step explanation:

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

The probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

To solve this problem, we first need to find the probability that the first lefty is the third person chosen. This can be done using the following formula:

P(first lefty on third pick) = (0.25 * 0.75 * 0.25) = 0.046875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second term (0.75) represents the probability of not selecting a lefty on the second pick, since we have already selected one person. The third term (0.25) represents the probability of selecting a lefty on the third pick, since we have not yet selected a lefty in the first two picks.

Next, we need to find the probability that the first lefty is the fifth person chosen. This can be done in a similar way:

P(first lefty on fifth pick) = (0.25 * 0.75 * 0.75 * 0.75 * 0.25) = 0.0263671875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second, third, and fourth terms (0.75) represent the probability of not selecting a lefty on the second, third, and fourth picks, since we have already selected one or more people. The fifth term (0.25) represents the probability of selecting a lefty on the fifth pick, since we have not yet selected a lefty in the first four picks.

Finally, we can add the two probabilities together to get the overall probability that the first lefty is either the third or the fifth person chosen:

P(first lefty is third or fifth) = P(first lefty on third pick) + P(first lefty on fifth pick)

P(first lefty is third or fifth) = 0.046875 + 0.0263671875

P(first lefty is third or fifth) = 0.0732421875

Therefore, the probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

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In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.

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Answer:

1. b

2. e

3. a

4. f

5. g

Step-by-step explanation:

hope this helps

Answer:

Baker's Best

Step-by-step explanation:

Given data

For Baker's Best  

5 biscuits and costs $0.69 per can

The cost per  biscuits

=0.69/5

=$0.14 per  biscuit

For Butter Bee Canned

8 biscuits and costs $1.29 per can

The cost per  biscuits

=1.29/8

=$0.16 per  biscuit

Hence the best buy is Baker's Best which offers $0.14 per biscuit

Answer:

x² + 5x + 11

------------------------

3x - 4 | 3x³ + 17x² - 16x - 16

- (3x³ - 4x²)

---------------

21x² - 16x

- (21x² - 28x)

---------------

12x - 16

- (12x - 16)

---------

0

Therefore, the result when 3x³ + 17x² - 16x - 16 is divided by 3x - 4 is x² + 5x + 11.

We are given the initial function to be

Page 5

Question 4

We are told to use the function above to estimate how long it will take for the amount in the body to be 175mg.

This simply translates to making A= 175 in the equation so that we will obtain

So we will make t the subject of the formula

To do so, we can follow the steps below

Step 1: Divide both sides by 550

Next, we will take the natural logarithm to both sides

Next, we will divide both sides by -0.316

Thus, the value of t = 3.6256 hours.

Answer:

False

What type of variables does linear regression use?

What is linear regression? Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Can independent variable be categorical in linear regression?

The linear model used in regression analysis always involves a numeric dependent variable. However, in such analyses it is possible to use categorical independent variables.

Hope this helps :)

Pls brainliest...

Answer:true

Step-by-step explanation: In a linear regression model, the independent variable (also known as the predictor or input variable) is typically assumed to be of interval or ratio type. Interval and ratio data are both continuous data types that have equal intervals between values and can be subjected to mathematical operations, such as addition and subtraction.

Square Area ( A square has all equal sides) = L x W  

               36 = L x W

               36= 6 x 6

                ^ Find the square root of 36

The answer would be 6 according to me!

Hope that helps!!

Answer:

∠9 + ∠10 = 135°      combined, they are alternate equal to ∠2

∠1 =45°                    it is supplementary to ∠2

∠6 = 45°                  it is corresponding congruent to ∠8 which is alternate

                               equal to ∠1  

∠4 + ∠5 = 135°        combined, they are corresponding congruent to ∠2  

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

All the angles are mentioned on the diagram.

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

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68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.

Given:

mean height = 72 inches  

standard deviation = 3 inches,

We can determine the range within which 68% of the population's heights will fall.

To calculate this range, we subtract and add one standard deviation from the mean:

Lower bound: Mean - Standard Deviation

= 72 - 3

= 69 inches

Upper bound: Mean + Standard Deviation

= 72 + 3

= 75 inches

Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.

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Answer:

1.72e-3 = 1.72 x 10-3 = 0.00172

Step-by-step explanation:

72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............