Give your best conclusion to the following statement: "Distance between two points on the coordinate plane is related to the pythagorean theorem because..."

Answer:

150+15x<30x

that's choice B

Answer:

Below

Step-by-step explanation:

To find the missing amount of lemonade you can use this equation:

     water = x(lemonade)       

     63 = x35

     1.8 = x

Now we know the value of x, we can use this to find the lemonade mix at 45 cups of water :

     45 / 1.8 = 25

Therefore, 25 tbsp of lemonade is required to mix with 45 cups of water

Hope this helps! Best of luck <3

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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Answer:

2

Step-by-step explanation:

First calculate the mean. This is done by adding the numbers and dividing by the count:

sum = 6+0+4+3+2 = 15

count = 5

mean = 15/5 = 3

Now create a table with the "squared deviation to the mean":

6: (6 - 3)² = 9

0: (0 - 3)² = 9

4: (4 - 3)² = 1

3: (3 - 3)² = 0

2: (2 - 3)² = 1

And sum these:

9+9+1+0+1 = 20

Divide by the count to find σ²:

σ² = 20/5 = 4

Hence σ = √4 = 2

Answer:

ok,i know

Step-by-step explanation:

there is no like terms

Answer:

the like terms are 7 and 8

Step-by-step explanation:

because the -4x,3m and 14r are not like terms

Answer:

A = 1.26

B = 1.22

Store B is better

Step-by-step explanation:

5.04 divided by 4

2.44 divided by 2

Answer:

D) 1.2

Step-by-step explanation:

Step-by-step explanation:

x = number of games played

c = total cost of game session

x = (c - 5)/1.25

we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).

and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.

in our specific situation c = 26.25

x = (26.25 - 5)/1.25 = 21.25/1.25 = 17

Melvin played 17 games.

This research suggests a strong correlation between the number of hours spent watching television and the level of aggression shown at school.

This correlation implies a relationship between the two variables, however, further research is needed to determine the exact cause and effect relationship between television viewing and aggression.

It can be concluded that there is a link between the number of hours spent watching television and levels of aggression exhibited in school.

However, it is impossible to determine from this correlation whether watching television directly causes increased levels of aggression in school, or if there is some other factor that is influencing both variables.

Further research is needed to determine the exact cause and effect relationship between television viewing and aggression.

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Answer:

Scuba-4-All's initial cost is $55

Scuba palace's initial cost is $30

Step-by-step explanation:

Initial cost is the cost when at zero hours or 0 x value

Answer:

The first question's answer is c 1.0, 2.0, 3.0

Step-by-step explanation:

Answer:

1. A) 4.0; 4.5; 5.0

2. A) Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.

3. C) Extracurricular activities show that a student is an active well-rounded individual.

4. D) All of the above

5. A) Associte's degree

6) D) A Doctoral degree

I hope this helps you

The intercept of the linear regression model rounded to three decimal places is  -29.678.

First, open the RData file in RStudio. Then, load the 1000movies data frame into the environment. Now, we can build the multiple linear regression model. We can do this using the lm() function in R. The lm() function takes a formula as the first argument.

The formula for our model will look like this:

revenue-m ~ budget-m + genre2 + budget-m:genre2.

This formula specifies that we want to use budget-m, genre2, and the interaction between budget-m and genre2 as predictor variables to predict revenue-m.

Next, we can fit the model using the lm() function. We can use the summary() function to view the results of the model. The intercept of the linear regression model is the value of revenue-m when budget-m and genre2 are both equal to 0.

In our model, the intercept is -29.678. Rounded to three decimal places, the intercept is -29.678.

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Answer:

The length of other side = 4 cm

Step-by-step explanation:

Given :

longest side = H = 8 cm

one side = P = 4√3

The other side will be H² = P² + B²

=> 8² = (4√3)² + B ²

=> 64 = 48 + B²

=> 64 - 48 = B²

=> 16 = B²

=> √16 = B

=> B = 4

Let the lengths of sides be a, b and c (hypotenuse).

Hypotenuse is the longest side , So c = 8.

\(\sf{Let \: b = 4\sqrt{3}}\)

From the pythagoras theorem :

\(a^2 + b^2= c^2\)

\(a^2 + (4\sqrt{3})^2= 8^2\)

\(a^2 + 16 (3) = 64\)

\(a^2 +48=64\)

\(a^2 = 16\)

\(a = 16 / 2\)

\(a = 4\)

The third side is 4 cm.

Answer:

equation: sin 20 = 15/x

x=43.86

Step-by-step explanation:

sin = opposite over hypotenuse = 15/x from the corner with angle 20

Answer:

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

As all the four sides of the rhombus have equal length.

So we can observe

\(VW=WX\)

\(6m-12 = 4m+4\)

Add 12 to both sides

\(6m-12+12=4m+4+12\)

\(6m=4m+16\)

\(2m=16\)

Divide both sides by 2

\(\frac{2m}{2}=\frac{16}{2}\)

\(m=8\)

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ \(m=8\)

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

f(x) = [x] - 2 + 8

[x] is the notation for 'greatest integer function'

f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4

The answer is 4

Step-by-step explanation:

The value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)

To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:

f(-1.8) = -1.8 - 2 + 8

f(-1.8) = -3.8 + 8

f(-1.8) = 11.8

Since x is in a square bracket, we will round the value up to the nearest whole number, hence;

f(-1.8) = 12

Therefore the value of the function  f(x) = [x] - 2 + 8 when x = -1.8 is 12

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\(1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34\)

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

\(y=-\frac{3}{4}x+7\)

Step-by-step explanation:

The slope is already given as \(-\frac{3}{4}\) so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

\(y=-\frac{3}{4}x+b\)

Next, use the point to substitute the x and y value and solve for the y-intercept

\(y=-\frac{3}{4} x+b\) where b = y-intercept

point: (8, 1)

\(1=-\frac{3}{4}(8)+b\)

Then multiply 8 and -3/4

\(1=-6+b\)

Finally, solve for the b (y-intercept)

b = \(1--6\)

b = 7

so the y-intercept is 7

And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is \(y=-\frac{3}{4}x+7\)

See below for the proof that the areas of the lune and the isosceles triangle are equal

The area of the isosceles triangle is:

\(A_1 = \frac 12r^2\sin(\theta)\)

Where r represents the radius.

From the figure, we have:

\(\theta = 90\)

So, the equation becomes

\(A_1 = \frac 12r^2\sin(90)\)

Evaluate

\(A_1 = \frac 12r^2\)

Next, we calculate the length (L) of the chord as follows:

\(\sin(45) = \frac{\frac 12L}{r}\)

Multiply both sides by r

\(r\sin(45) = \frac 12L\)

Multiply by 2

\(L = 2r\sin(45)\)

This gives

\(L = 2r\times \frac{\sqrt 2}{2}\)

\(L = r\sqrt 2\)

The area of the semicircle is then calculated as:

\(A_2 = \frac 12 \pi (\frac{L}{2})^2\)

This gives

\(A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2\)

Evaluate the square

\(A_2 = \frac 12 \pi (\frac{2r^2}{4})\)

Divide

\(A_2 = \frac{\pi r^2}{4}\)

Next, calculate the area of the chord using

\(A_3 = \frac 12r^2(\theta - \sin(\theta))\)

Recall that:

\(\theta = 90\)

Convert to radians

\(\theta = \frac{\pi}{2}\)

So, we have:

\(A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))\)

This gives

\(A_3 = \frac 12r^2(\frac{\pi}{2} - 1)\)

The area of the lune is then calculated as:

\(A = A_2 - A_3\)

This gives

\(A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)\)

Expand

\(A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2\)

Evaluate the difference

\(A = \frac 12r^2\)

Recall that the area of the isosceles triangle is

\(A_1 = \frac 12r^2\)

By comparison, we have:

\(A = A_1 = \frac 12r^2\)

This means that the areas of the lune and the isosceles triangle are equal

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Answer:

-11 11/15

Step-by-step explanation:

convert 2 1/5 to an improper fraction of:  11/5

convert -5 1/3 to an improper fraction of:  -16/3

11/5 × -16/3 = -176/15

-176/15 = -11 11/15

Answer:

No, they do not

Step-by-step explanation:

15/20 = 0.75

14/15 = 0.93

0.75 is not equal to 0.93

So the ratios do not form a proportions

Answer:

x-8

Step-by-step explanation:

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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Let R be a relation on set {1, 2, 3, 4} with R = {(1,1), (1,4), (2,3), (3,1), (3,4)}. Find the reflexive, symmetric, and transitive closure of R.

For the given set, Delta = {(1, 1), (2, 2), (3, 3), (4, 4)}. So the reflexive closure of R is R cup Delta = {(1,1), (1,4), (2,2), (2,3), (3,1), (3,3),  (3,4), (4,4)}

For the symmetric closure we need the inverse of R, which is

R^{-1} = {(1,1), (1,3), (3,2), (4,1), (4,3)}.

The symmetric closure of R is-

{(1,1), (1,3), (1,4), (2,3), (3,1), (3,2), (3,4), (4,1), (4,3)}

For the transitive closure, we need to find R^*.

therefore we need to find R^1, R^2, ... , until R^{n} = R^{n-1}. We stop when this condition is achieved since finding higher powers of R would be the same.

R^{1} = {(1,1), (1,4), (2,3), (3,1), (3,4)}

R^{2} = {(1,1), (1,4), (2,1), (2,4), (3,1), (3,4)}

R^{3} = {(1,1), (1,4), (2,1), (2,4), (3,1), (3,4)}

Since, R^{2} = R^{3} we stop the process.

Transitive closure, R^* = R^1 \cup R^2 –

{(1,1), (1,4), (2,1), (2,3), (2,4), (3,1), (3,4)}

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