solve the equation -16x>-80

(a) Reflexive: R is reflexive if every element in X is related to itself. Symmetric: R is symmetric if for every pair (s, t) in R, (t, s) is also in R. Anti-symmetric: R is anti-symmetric if whenever (s, t) and (t, s) are both in R, s  (b) R is an equivalence relation because it satisfies the properties of reflexivity, symmetry, and transitivity. (c) These elements are the 6-bit strings that have the same number of zeroes as 001100. (d) S is not an equivalence relation because it does not satisfy the transitivity property.

(a) Reflexive: In the relation R on X, for every 6-bit string s, s has the same number of zeroes as itself, so R is reflexive.

Symmetric: If sRt, it means s and t have the same number of zeroes. This implies that t and s also have the same number of zeroes, so R is symmetric.

Anti-symmetric: If sRt and tRs, it means s and t have the same number of zeroes, and t and s have the same number of zeroes. This implies that s and t are the same element, satisfying the anti-symmetric property.

Transitive: If sRt and tRu, it means s and t have the same number of zeroes, and t and u have the same number of zeroes. This implies that s and u also have the same number of zeroes, satisfying the transitive property.

(b) To show that R is an equivalence relation, we need to demonstrate that it satisfies reflexivity, symmetry, and transitivity. We have already established that R satisfies all three properties.

(c) The equivalence class of 001100 consists of all the 6-bit strings that have the same number of zeroes as 001100. To count the number of elements in this equivalence class, we need to consider all possible combinations of ones and zeroes in a 6-bit string while maintaining the same number of zeroes as 001100. The number of combinations can be calculated using combinatorial techniques, which results in 21 elements in the equivalence class of 001100.

(d) The relation S is not an equivalence relation because it fails to satisfy the transitivity property. There exist cases where if the first or third digit (or both) of s and t are the same, and the first or third digit (or both) of t and u are the same, it does not guarantee that the first or third digit (or both) of s and u are the same. This violates the transitivity condition, indicating that S is not an equivalence relation

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Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.'  Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation:  4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

Answer:

$1.25 each

Step-by-step explanation:

just divide the total cost by number of teachers and MAGIC!!

The triangle is a right isosceles triangle because it has two angles that are 45 degrees each and a 90 degree angle.

Due to the fact that the triangle's legs are always the same length, d = 8. Always on the other side of the right angle is the hypotenuse. The hypotenuse of this triangle, represented by the letter e, is at its base. You must multiply the leg of a 45-45-90 triangle by the square root of two to determine the hypotenuse.

The triangle is a right isosceles triangle because it has two angles that are 45 degrees each and a 90 degree angle. Due to the fact that a triangle can only have one hypotenuse, an isosceles triangle must have two sides that are the same. These sides must be the two legs.

The hypotenuse of a 45°, 45°, and 90° triangle measures about two times the length of a leg.

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Answer:

41

Step-by-step explanation:

15+26=41

Answer:

41 minutes

Step-by-step explanation:

If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:

So, add 15 to 26:

15 + 26

= 41

So, she jogged 41 minutes on Sunday.

Answer:

Step-by-step explanation:

3x+ 50= 6x-10

50+10=6x-3x

60=3x

x=20

Answer:

x = 20

Step-by-step explanation:

you can notice that those two are identical, so it's a basic equation

3x + 50 = 6x - 10

and now we can solve it by moving x'es to one side and number to the other (remembering that when you do that you need to change the sign, so if there is "-" then change to "+"):

50 = 6x - 10 - 3x

50 = 3x - 10

50 + 10 = 3x

60 = 3x

20 = x

Answer:

Me

Step-by-step explanation:

Answer:

this is Intercept Form

Answer:

Sensory adaptation? im guessing

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

when x is by itself, that means there is a one in front

The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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The cost of the stock for the investor would be calculated as follows:

Cost of 1 share = $98.93
Number of shares purchased = 500

Total cost of the stock = Cost per share x Number of shares
Total cost of the stock = $98.93 x 500
Total cost of the stock = $49,465

The broker charges 2% of the cost of the stock, so the broker's fee would be calculated as:

Broker's fee = 2% x Total cost of the stock
Broker's fee = 2% x $49,465
Broker's fee = $989.30

Therefore, the total cost of the stock for the investor including the broker's fee would be:

Total cost of the stock + Broker's fee = $49,465 + $989.30
Total cost of the stock + Broker's fee = $50,454.30

So the cost of the stock for the investor including the broker's fee is $50,454.30.

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Answer:

C

Step-by-step explanation:

The square root of 45 is:

6.708

Meaning that C is the correct point.

Hope this helps! :)

it's most likely the second one

Answer:

a) 130m    b)1.3m/s²

Step-by-step explanation:

area under graph = distance

area of trapezium = a+b/2 x h

6+20/2 x 10

13 x 10 = 130m

acceleration = gradient

gradient = change in y/ change in x

4/3 = 1.3 m/s²

The math function y(x) =  -0.2x4 e-0.5xx3 7x2:
x = 0:0.1:10; % example input values
y = compute_ y(x); % compute the function output for each x value
plot(x, y); % plot the function

1. First, let's define the function in MATLAB using the "function" keyword. We'll name the function "y_of_x" and it will take the input "x".

```Matlab
function y = y_of_x(x)
```

```Matlab
function y = compute_y(x)
% This function computes y(x)=-0.2x^4 e^-0.5xx^3 7x^2
% Input:
%   x: the input to the function
% Output:
%   y: the output of the function

2. Now, let's represent the given math function inside the function. The math function is y(x) = -0.2x^4 * e^(-0.5x) * x^3 * 7x^2. In MATLAB, we can write this as:

```Matlab
y = -0.2 * x^4 * exp(-0.5 * x) * x^3 * 7 * x^2;
```

3. Finally, end the function with the "end" keyword.

```Matlab
end
```
Putting it all together, your user-defined MATLAB function will look like this:
```Matlab
function y = y_of_x(x)
   y = -0.2 * x^4 * exp(-0.5 * x) * x^3 * 7 * x^2;
end
```

Now you can use this function in MATLAB by calling it with the desired input value for "x", like this:
``Matlabb
result = y_of_x(2); % This will compute y(2) using the defined function
```

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Answer:

20 yards

Step-by-step explanation:

The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.

From here we simply need to square root both sides which gives us:

x=20

Therefore the length of one side of the garden is 20 yards.

Hope this helped!

According to the flight on certain routes, the experiment is a binomial experiment and this will be determined by observing that Flights on a certain route are on-time 80% of the time and 10 flights are randomly selected and the number of​ on-time flights is recorded.

(a) This is a binomial experiment since there are only two possible outcomes for each data that is a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).

​(b) Using the formula:

P(a out of n) = (nCa)(pᵃ)(qⁿ⁻ᵃ), where n = 10 flights, a = the number of flights that arrive on time:

P(7/10) = (10C7)(0.8)⁷ (0.2)³= 0.2013

Therefore, 0.2013 chance is there that exactly 7 of 10 flights will arrive on time.

​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).

P(0/10) + P(1/10) + ... + P(6/10) = 0.1209

This means that 0.1209 chance that less than 7 flights will be on time.

​(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.

1 - 0.1209 = 0.8791.

So there is a 0.8791 chance that at least 7 flights arrive on time.

(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us

0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.

According to the flight on certain routes, the experiment is a binomial experiment

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DISCLAIMER: The question provided is incomplete as some data are missing. The above answer is solved as per a relevant question

According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and the number of​ on-time flights is recorded. ​(a) explain why this is a binomial experiment. ​(b) find and interpret the probability that exactly 7 flights are on time. ​(c) find and interpret the probability that fewer than 7 flights are on time. ​(d) find and interpret the probability that at least 7 flights are on time. ​(e) find and interpret the probability that between 5 and 7 ​flights, inclusive, are on time.

Answer: 330

Step-by-step explanation:

325

3 is in the 100s place = 300

2 is in the tens place= 20

5 is in the 1s place= 5

325 rounded to the nearest ten is 330

cause your adding the 5 to the 2 round it up and you get 330

its kind of like if you add the 2 and 5 you get 7 which mean 327 but is it closer to 330 or 320

your welcome

The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer: 5m

Step-by-step explanation:

The Initial water level means that level amount when the time equal to 0hrs, which is 5m.

Given that: (x^2 + 3) dx/dt = 3x + 3;  x(1) = 3. We are to solve the initial value problem for x as a function of t.

Now, rearranging the given differential equation,

Taking the common denominator and simplifying, we getx = sqrt(3) / (1 - e^(sqrt(3) (t + C1))) + sqrt(3)

Hence, the solution of the given initial value problem is\(x = sqrt(3) / (1 - e^(sqrt(3) (t + C1))) + sqrt(3)\), where C1 is the constant of integration such that x(1) = 3.

Substituting x = 3 and t = 1 in the above equation, we get3 = sqrt(3) / (1 - e^(sqrt(3) (1 + C1))) + sqrt(3)Solving for C1, we getC1 =\(ln [((3 - sqrt(3)) / (3 + sqrt(3))) / 2] / sqrt(3)\)

Hence, the solution of the given initial value problem is \(x = sqrt(3) / (1 - e^(sqrt(3) (t + ln [((3 - sqrt(3)) / (3 + sqrt(3))) / 2] / sqrt(3)))) + sqrt(3).\)

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To find the volume and surface area of three-dimensional shapes, you can use the following formulas:

Rectangular Prism:

Volume: V = lwh (l = length, w = width, h = height)

Surface Area: A = 2lw + 2lh + 2wh

Right Cylinder:

Volume: V = πr^2h (r = radius, h = height)

Surface Area: A = 2πrh + 2πr^2

Right Pyramid:

Volume: V = (1/3)Bh (B = base area, h = height)

Surface Area: A = B + pl (B = base area, l = slant height)

Given the volume or surface area, you can find the side lengths, radius, or diameter of a three-dimensional figure by solving the formulas for the desired variable.

For example, if you are given the volume of a cylinder and want to find the radius, you can use the formula for the volume of a cylinder and solve for the radius:

V = πr^2h

r^2 = V / (πh)

r = √(V / (πh))

In a similar manner, you can find the side lengths, radius, or diameter of any three-dimensional shape by using the relevant formulas and solving for the desired variable.

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Yes -17 is an integer

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z.

Example of integers are: 0 , 1 ,-2, - 67 ,50 e.t.c. Other examples of integers are : -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

Since it is stated that an integer is a number that is zero, a positive number and a negative number . It can be the therefore said that -17 is an integer

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The number -17 is an integer number, as it has a decimal part of zero.

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

For the number -17, we have that:

As the decimal part of the number -17 is of zero, the number can in fact be classified as an integer number.

The problem asks if the number -17 can be classified as an integer number.

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Based on the numbers to be divided of 1,060 ÷ 33 to get a quotient, the mixed number in the simplest form is 32¹/₂ .

Finding the quotient of two numbers means that one of the numbers would have to divide the other number.

The quotient in this case is:

= 1,060 ÷ 33

= 32.1212

To convert this to mixed number, divide the decimal portion by the relevant power of 10:
= 32 + 1212/10,000

= 32 + 4/32

= 32 + 1/8

= 32¹/₂

In conclusion, the quotient of 1,060 ÷ 33 is 32¹/₂ .

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i need more info cmon man

Step-by-step explanation:

ur  mom