What is the slope of the line that passes through the points (10, 2) and (19,14)?
Write your answer in simplest form.

The sum of all the possible values of the hypotenuse is 128.4.

According to the statement

we have given that the Three relatively prime integers are the sides of a right triangle and the smallest leg has length 28.

And we have to Find the sum of all the possible values of the hypotenuse.

So, For this purpose, we know that the

Let us consider a three relatively prime integers which are 29,31,37.

we choose these numbers because we have given that the

the smallest leg has length 28.

And according to the Pythagoras theorem.

we know that the

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

And let the smallest length be a base.

So , Put the values of the perpendicular in this one by one then

so,

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 29 and base = 28.

Then

(Hypotenuse)^2 = (29)^2 + (28)^2

(Hypotenuse)^2 = 1625

(Hypotenuse) = 40.31

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 31 and base = 28.

Then

(Hypotenuse)^2 = (31)^2 + (28)^2

(Hypotenuse)^2 = 1745

(Hypotenuse) = 41.77

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 37 and base = 28.

Then

(Hypotenuse)^2 = (37)^2 + (28)^2

(Hypotenuse)^2 = 2153

(Hypotenuse) = 46.40

And then

The all possible values of the hypotenuse are 40.31, 41.77, 46.40.

And the sum become is 128.4

So, The sum of all the possible values of the hypotenuse is 128.4.

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

10

Step-by-step explanation:

2 legs because you walked into the room and 4 legs of the bed and 4 legs of the chair.

The answer will be either 8 or 4 or 0.

What is a riddle?

A riddle is an intentionally framed ambiguous question or statement that requires ingenuity and critical thinking to solve or understand.

In the given riddle, all the two dogs, four horses, one giraffe and a duck are lying on the bed. Three chickens are flying over a chair.

Assumptions:

1) Bed is placed on the ground.

2) Bed and chair considered are of standard type.

case1:

If we consider the legs of only living organisms, the number of legs on the ground at the given instant will be 0.

case2:

If that's not the case, then a typical chair will have four legs, and a standard bed will also have four legs. So a total of 8 legs will be on the ground or floor of the room.

case3:

And if we consider the possibility of the chair being placed on the bed, then the legs of the chair will not touch the ground. So a total of 4 legs will be on the ground or floor of the room.

∴ From different perspectives, the number of legs on the ground will be either 8 or 4 or 0.

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The posterior distribution of θ is a gamma distribution with shape parameter α = 8 and rate parameter β = 7/2. The posterior mean of θ is 3.1538 and the posterior variance of θ is 0.5128.

we need to find the posterior distribution of θ. The formula for the posterior distribution of θ is given by:student submitted image.

Here, λ is the rate parameter of the exponential prior distribution, X1, X2 and X3 are the observed values and n is the total number of observations. We have n = 3, λ = 5/2, X1 = 3, X2 = 4 and X3 = 2.

Therefore, substituting the given values, we get:student submitted imageFor part (b) of the question, we need to find the posterior mean and variance.

The formula for the posterior mean is given by:student submitted imageHere, μθ is the posterior mean of θ, λ is the rate parameter of the exponential prior distribution, X1, X2 and X3 are the observed values and n is the total number of observations.

We have n = 3, λ = 5/2, X1 = 3, X2 = 4 and X3 = 2. Therefore, substituting the given values, we get:student submitted imageThe formula for the posterior variance is given by:student submitted image.

Here, σ²θ is the posterior variance of θ, λ is the rate parameter of the exponential prior distribution, X1, X2 and X3 are the observed values and n is the total number of observations. We have n = 3, λ = 5/2, X1 = 3, X2 = 4 and X3 = 2. Therefore, substituting the given values, we get:student submitted imageTherefore, the main answer to part (b) are:
Posterior mean = 3.1538
Posterior variance = 0.5128 .

We can conclude that the posterior distribution of θ is a gamma distribution with shape parameter α = 8 and rate parameter β = 7/2. The posterior mean of θ is 3.1538 and the posterior variance of θ is 0.5128.

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According to the empirical rule of IQ scores no higher than 125 and less than 77, the percentage is found to be 97.5%.

From the above data, we can determine the mean (U) and standard deviation (p), which are respectively 101 and 12.

And we're looking for the percentage that isn't greater than 125. We can utilise the calculation for the z score, which is as follows: z = X-U/p X is the percentage,

And by using the value provided, we obtained: z = (125-101)/12

z = 2.

According to the empirical rule, 95% of the values fall between two standard deviations, while 5% fall in the tails.

As a result the percentage is required to be less than the 2 standard deviation but above the mean which is equal to (100-2.5)=97.5%.

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To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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Answer:

62.5%

Step-by-step explanation:

75 + 50 = 125

125 / 2 = 62.5

Answer:

C.) The fraction is four-sixths.?

Step-by-step explanation:

The estimated probability that the first customer is still active is approximately 0.881.

To estimate the probability that the customer is still active, we can analyze the interpurchase times and calculate the probability of no purchase during the time after the last observed purchase. We assume that the interpurchase times follow an exponential distribution.

For the first customer with purchases at times 0.2, 1.2, 0.8, 1.8, 2.4, and 4.8, we can calculate the interpurchase times as follows:

Interpurchase times: 1, 0.4, 1, 0.6, and 2.4

To estimate the probability that the customer is still active, we calculate the probability of no purchase during the remaining time after the last observed purchase. In this case, the remaining time is from the last purchase at 4.8 to the present time:

Remaining time = Current time - Last purchase time

= 5 - 4.8

= 0.2

Now, let's calculate the probability of no purchase during this remaining time using the exponential distribution:

Probability of no purchase = e^(-λ * remaining time)

Since the exponential distribution parameter λ represents the average rate of occurrence, we need to calculate its value. We can estimate it using the average of the interpurchase times:

Average interpurchase time = (1 + 0.4 + 1 + 0.6 + 2.4) / 5

= 1.08

λ = 1 / average interpurchase time

= 1 / 1.08

≈ 0.9259

Now we can calculate the probability of no purchase during the remaining time:

Probability of no purchase = e^(-0.9259 * 0.2)

≈ 0.881

Therefore, the estimated probability that the first customer is still active is approximately 0.881.

For the second part of the question, we need to compare the likelihood of two customers (customer 1 and customer 2) being still active based on their last purchase time and the time since their last purchase.

Customer 1 has been with the company for 12 months and made 6 purchases. Their last purchase was at the end of month 6. Therefore, the time since their last purchase is 6 months. We don't have any information about the current time, so we can't estimate the probability of them being still active.

Customer 2 has also been with the company for 12 months and made 4 purchases. Their last purchase was at the end of month 8. The time since their last purchase is 4 months. Comparing this with the case of customer 1, customer 2 has a shorter time since their last purchase.

Based on this information, customer 2 is more likely to be still active. The shorter time since their last purchase indicates a more recent interaction with the company, suggesting a higher likelihood of continuing activity. However, without additional information or knowledge about the retention patterns of the company's customers, we cannot make a definitive conclusion.

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Answer:

No i would not think it is because we need fear to stop us from doing something harmful

Step-by-step explanation:

Answer:

wrong subject, but I think it goes both ways. Fear is fundemental and is why we have survived so long, but fear can hurt you, because of phobias. I'm terrified of spiders, and some people are terrified of the outdoors. That can affect you in a big way.

Answer:

160 unit³

Step-by-step explanation:

Given that the 2 blocks have similar dimension ;

Width of block 1 = 24 units

Width of block 2 = 32 units

Width 1 : width 2 = 24 : 32 = 1 : 1.333333

Volume of block 1 = 120 unit³

Volume of block 2 = x

Using the ratio above ;

Volume of block 2 = 120 * 1.333333 = 160 unit³

The equation in standard form is 0.15x + 0.55y = 99

From the question, we have the following parameters:

This means that:

The unit cost of a stamp is

Unit cost (stamp) = 11/20

Evaluate

Unit cost (stamp) = 0.55

The unit cost of an envelope is

Unit cost (envelope) = 7.50/50

Evaluate

Unit cost (envelope) = 0.15

Represent the envelope with x and the stamps with y

So, we have the following equation

0.15x + 0.55y = 99

The above represents the linear equation in standard form

See attachment for the graph, where the intercepts are (0, 180) and (660, 0)

These values make sense, because the intercepts are whole numbers

Also, you cannot use the money to buy the same amount of stamps and envelopes because of the decimal points in (141.429, 141.429)

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Answer:

Step-by-step explanation:

i cant quite see pls put more clear

Answer:

Option 4

Step-by-step explanation:

For 1 hour, the cost is $95.

For 2 hours, the cost is $145.

This trend continues until 6 hours, where the cost is $345.

The range is the set of these costs, so the answer is Option 4.

Answer: m <2 = 104 degrees.

Step-by-step explanation:

Those trees make parallel lines.

The Alternate Interior Angle Theorem says that angles inside of the parallel lines and on the opposite side of each other are congruent.

The angle next to angle two is the alternate to the 76-degree angle.

Since a straight line sums to 180 degrees, you can find the measure of angle 2 by subtracting 76 from 180. 180-76 = 104.

For number 1 it's either 3 or 4 because it only goes up to like six and it needs to go up to 10 and the bottoms are 5 and 10 + 5 = 15

Answer: AB≈6.97

Step-by-step explanation:

\(\displaystyle\\sin35^0=\frac{AC}{AB}\)

Multiply both parts of the equation by AB:

\(AB(sin35^0)=AC\)

Divide both parts of the equation by sin35°:

\(\displaystyle\\AB=\frac{AC}{sin35^0} \\\\AB\approx\frac{4}{0.574}\\\\AB\approx6.97\)

The value of side AB is AB = 7.

What is right angled triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

The given triangle ΔABC is a right angle triangle.

So, to find the side AB we can use the sine ratio,

\(sinB = \frac{opposite side}{Hypotenuse} \\sin35 = \frac{AC}{AB} \\sin35=\frac{4}{AB} \\AB = \frac{4}{sin35}\\ AB = \frac{4}{0.5736}\\ AB = 6.974\)

AB ≈ 7

Hence, the side length of AB is AB = 7.

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Answer:

chossing what? every day of the week can be chossen with 1/5 probablity

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two days of the week that starts with S. That's already 2/7. But , we add on Monday and that gives us 3/7

The probability of the day being chosen as Monday or Saturday or Sunday is 3/7.

PLEASE MARK ME AS BRAINLIEST

Answer:

The radius of convergence (r) is 1/6.

Step-by-step explanation:

To determine the Taylor series for the function f centered at 4, we need to get its derivatives and evaluate them at x = 4

.Let's start by finding the derivatives of f:

f'(x) = (-1)^1 * 1! * 3(1)(1 - 1) = 0f''(x)

= (-1)^2 * 2! * 3(2)(2 - 1)

= 12f'''(x)

= (-1)^3 * 3! * 3(3)(3 - 1)

= -108f''''(x)

= (-1)^4 * 4! * 3(4)(4 - 1)

= 432

Continuing this pattern, we can get the nth derivative:f^(n)(x) = (-1)^n * n! * 3n(n - 1).

Now, let's evaluate these derivatives at x = 4:

f(4) = f^(0)(4)

= (-1)^0 * 0! * 3(0)(0 - 1)

= 0f'(4)

= f^(1)(4)

= 0f''(4)

= f^(2)(4)

= 12f'''(4)

= f^(3)(4)

= -108f''''(4)

= f^(4)(4)

= 432

We can see that all the odd derivatives evaluate to zero at x = 4.

Next, we can express the Taylor series for f centered at 4 as follows:

f(x) = f(4) + f'(4)(x - 4)^1 + f''(4)(x - 4)^2 + f'''(4)(x - 4)^3 + ...

Since all the odd derivatives evaluate to zero at x = 4, we can simplify the Taylor series as:

f(x) = 0 + 0 + 12(x - 4)^2 + 0 + 432(x - 4)^4 + ...

Simplifying further, we have:

f(x) = 12(x - 4)^2 + 432(x - 4)^4 + ...

The radius of convergence (r) of the Taylor series can be determined using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L, then the series converges if L < 1 and diverges if L > 1.

In our case, the ratio of consecutive terms is:

L = lim(n->∞) |a(n+1) / a(n)|

For the Taylor series of f, the terms are:

a(n) = 12(x - 4)^2 for even values of na(n) = 432(x - 4)^4 for even values of n

Taking the absolute value of the ratio of consecutive terms and simplifying, we have:

L = lim(n->∞) |432(x - 4)^4 / 12(x - 4)^2|L

= lim(n->∞) |36(x - 4)^2|

The limit depends on the value of (x - 4)^2.

For the series to converge, we need |36(x - 4)^2| < 1. This means that the absolute value of (x - 4)^2 must be less than 1/36.

Therefore, the radius of convergence (r) is 1/6.The Taylor series for f centered at 4 is:f(x) = 12(x - 4)^2 + 432(x - 4)^

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Answer:

5.313mg

Step-by-step explanation:

The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)

Half life formula

= N(t) = No(1/2)^t/t½

N(t) = Amount after t years

No = Initial amount

t = time

t½ = half life

N(t) = 170 (1/2) ^150/30

N(t) = 170 × (1/2)^5

N(t) = 5.3125mg

Approximately the quantity left after t years = 5.313mg

Answer:

Step-by-step explanation:

if y = 4 x^3 - 5x and dx/dt=4, by Using the chain rule dy/dt = 172 when x = 2.

Given the function y = 4x^3 - 5x and we need to find dy/dt when x = 2 and dx/dt = 4. We can do this using the following steps:

Step 1: Differentiate the function y with respect to x to find dy/dx.
Thus, First, we find f'(x) by taking the derivative of y with respect to x:

dy/dx = d(4x^3 - 5x)/dx = 12x^2 - 5

Step 2: To find dy/dt, we need to find dy/dx and substitute x = 2 into the resulting expression, along with dx/dt = 4. Thus, substitute the given value of x = 2 into the expression for dy/dx.
dy/dx = 12(2)^2 - 5 = 12(4) - 5 = 48 - 5 = 43

Step 3: Use the chain rule to find dy/dt, which states that dy/dt = dy/dx * dx/dt.

Step 4: Finally, we use the chain rule formula to find dy/dt when x = 2:

Substitute the values of dy/dx and dx/dt into the chain rule equation.
dy/dt = 43 * 4 = 172

So, when x = 2 and dx/dt = 4, dy/dt = 172.

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Answer:

$331.70

Step-by-step explanation:

340-30=310

7% of 310= 21.70

310+21.70=331.70

Answer:

Y= 4/1x+2

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

s=-105+45

=-60

hope it helps

Answer:

5.9

Step-by-step explanation:

og answer is 5.9160797831

round to hundreths place

you get 5.9

<3

Answer:

158in^2

Step-by-step explanation:

Answer:

158 in^2

Step-by-step explanation:

2C = 2x5x8 = 80

2B = 2x3x8 = 48

2C = 2x3x5 = 30

80+48+30 = 158 in^2

The solution to the system of equations is x = 4 and y = 1.

So, the ordered pair solution is (4, 1).

To solve the system of equations by elimination method:

Multiply the first equation by 2, and the second equation by -1 to eliminate y.

Simplify and add the two equations together to solve for x.

Substitute the value of x into one of the equations and solve for y.

The steps are:

2*(-4x - 2y = -12) -> -8x - 4y = -24

-1*(4x + 8y = -24) -> -4x - 8y = 24

Add the two equations: -8x - 4y = -24 + (-4x - 8y) -> -12x = -48 -> x = 4

Substitute x=4 into the first equation: -4*4 + 8y = -24 -> 8y = 8 -> y = 1

Therefore, the solution to the system of equations is x = 4 and y = 1.

So, the ordered pair solution is (4, 1).

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Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Given that

The admission fee is = $7.50

Each round costs = $6.25

Total money Clara paid = $26.25

The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-

we assume the number of rounds = x

Here, We can denote this equation in the following form

\(6.25x+7.50=26.25\)

Therefore with the help of above equation we can now find out the x value

\(6.25x=26.25-7.50\)

\(=> 6.25x=18.75\)

\(=> x = 3\)

So, Clara played 3 rounds of golf.