(d) , If R is the set of all real numbers (points in an infinite line), then the Cartesian product RxR is the set of all points in the two-dimensional plane. Make a sketch of the plane, including labelled x and y axes. Show on your sketch the following subset: L = {(x,y) ERX R: 2x - y = 2)

Answer:

20

Step-by-step explanation:

constant is the term with no variables attached

Answer: 32

Step-by-step explanation:              90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

The time taken to complete the rest questions is 32 minutes

Since Yan has already finished Three-fifths of the 45 math problems he was assigned today. The number remaining will be:

= 45 - (3/5 × 45)

= 45 - 27

= 18

Now, the time taken to complete the rest questions will be:

= 18 × 1 4/5

= 18 × 1.80

= 32.4

= 32 minutes.

Read related link on:

https://brainly.com/question/23079903

If John has 4266 cars, then Noah will have 79 cars

We can solve this question in the following way,

We have been given the condition that John owns 54 times more cars than Noah.

That means,

If Noah owns 1 car, John will own 1*54 = 54 cars

Similarly, if Noah owns 2 cars, John will own 2*54 = 108 cars

This will follow the pattern,

when Noah owns n cars, John will own n*54= 54n cars

In the question, we know that John owns 4266 cars,

That means we know that

54 * n= 4266

We have to calculate how many cars Noah owns, which is n

therefore the value of n will be

n= \(\frac{4266}{54}\)

n= 79 cars

Therefore Noah will own 79 cars while John will have 4266 cars.

Read more questions about Ratio and proportion from:

https://brainly.com/question/23724140

#SPJ4

Answer:

B

Step-by-step explanation:

Formula

1/2*h(b1+b2)

Substitute 5 for h, 7 for b1 and 10 for b2

1/2*5(7+10)

Add 7 and 10 together  

1/2*5(17)

Divide 5 by 2  

2.5(17)

Multiple

42.5

To identify the increasing functions you need to identify the unit rate (rate of change) in each function, to be an increasing function the unit rate needs to be a possitive amount.

In a equation written in the form y=mx+b the unit rate is m

Then, for the given functions the increasing functions are:

_____________

To idenify the unit rate of the graphed function use two points (x,y) in the next formula:

Then, for the given increasing functions the next have a larger unit rate:

And for the given increasing function the next have a smaller unit rate:

Answer:

x = 114

Step-by-step explanation:

114 and x are vertical angles, therefore they are congruent.

Answer:

Vertical Angles are equal so 114

Step-by-step explanation:

Here is some info that might help


-2 factors is a hint



+0 +2 +4 is a fractor of 4/1


if not 41

Answer:

The perimeter of the second(big) square = \(\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}\)

Step-by-step explanation:

From the information given:

The length of the piece of the wire  = 80 cm

When being cut into two pieces;

the length of the first wire = x

Then the length of the second(big) wire will be = 80 - x

However, when each piece is bent to a square shape

The length of one side of the first square = \(\dfrac{x}{4}\)

The length of one side of the second(big) square; \(\dfrac{80-x}{4}\)

Area of a square = l² ( where l is the length of the sides)

For the first square

A₁ = \((\dfrac{x}{4})^2\)

A₁ = \(\dfrac{x^2}{16}\)

The area of the second(big) square is:

A₂ = \((\dfrac{80-x}{4})^2\)

A₂ = \((\dfrac{(80-x)^2}{4})\)

The perimeter of the first square = \(4 \times \dfrac{x}{4}\)

The perimeter of the second(big) square = \(\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}\)

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

The median of X is 1;  P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and  the value of q such that P(X < q) = 0.95 is 1.9.

(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.

Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.

For 0 < x < 2, the CDF is:

F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x

Setting (1/2) * x = 0.5 and solving for x:

(1/2) * x = 0.5;  x = 1

Therefore, the median of X is 1.

(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.

For x > 2, the PDF is 0, so P(X > x) = 0.

Therefore, P(X > 2) = 0.

(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.

P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)

Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.

Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.

(d) The variance of X can be calculated using the formula:

Var(X) = E(X²) - [E(X)]²

To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:

E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3

To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:

E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Now we can calculate the variance:

Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33

Therefore, Var(X) is approximately 0.33.

(e) The expected value of X, E(X), is given by:

E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1

Therefore, E(X) is 1.

(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:

∫(0 to q) f(x) dx = 0.95

Since the PDF is constant at 1/2 for 0 < x < 2, we have:

(1/2) * (x) | (0 to q) = 0.95

(1/2) * q = 0.95

q = 0.95 * 2 = 1.9

Therefore, the value of q such that P(X < q) = 0.95 is 1.9.

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

The missing value is 33.

The median of a set of six ordered data values is the middle number, which is located in the third position.

To calculate the median, you need to add the numbers in the two middle positions and divide by two.

5 + 12 = 17, 21 + 33 = 54. 54 / 2 = 27.

Thus, the missing value is 33.

for more questions related to median, refer here:

https://brainly.com/question/28060453#

#SPJ11

Answer:

Around 25.8 square units

Step-by-step explanation:

\(A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8\)

Hope this helps!

Answer:

G to the power of 5

Step-by-step explanation:

Since there are 5 Gs, the exponent would be 5

Answer: \(G^5\)

Step-by-step explanation: G times G times G times G times G is G times itself 5 times, which can be rewritten as \(G^5\)

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

Learn more about Scale Factor here:

https://brainly.com/question/30051525

#SPJ2

Answer:

Step-by-step explanation:

the graph is down below

Answer:

1.67 pounds

Step-by-step explanation:

The problem above can be solved by using "direct proportion." This proportion shows that as one quantity increases, the other quantity increases and vice-versa.

Step 1: Represent the weight of the person on the moon by n.

Step 2: Set up a proportion.

            \(\frac{105}{175}\) = \(\frac{1}{n}\)

Step 3: Cross multiply.

            105 x n = 175 x 1

            105n = 175

Step 4: Find n by dividing both sides by 105.

            n = \(\frac{175}{105}\)

            n = 1.666 or 1.67 pounds (lowest term)

A pound of person on Earth will weigh 1.67 pounds on the moon.

Answer:

negative one third

Step-by-step explanation:

So you go to the 1 and half

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The y intercept k of the line in terms of a is k = 3a/a+1

The standard equation of a line is expressed as y = mx + b

where

m is the slope of the line

b is the y-intercept

Given the coordinate points (-1, 3) and (a, 0)

Determine the slope of the line

Slope = 0-3/a-(-1)

Slope = -3/a+1

Determine the y-intercept

0 = -3/a+1 (a) + k

3a/a+1 = k

Swap

k = 3a/a+1

Hence the y intercept k of the line in terms of a is k = 3a/a+1

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ1

The velocity components of a particle moving in a parabolic path given by y² = 4fx are determined in rectangular and plane polar coordinates. The equation of the parabola in plane polar coordinates is shown to be r = (1 - cos(2θ))/2f or rcos²(2θ) = f.

When a particle moves in a parabolic path defined by the equation y² = 4fx, we can determine its velocity and acceleration components in rectangular and plane polar coordinates.

In rectangular coordinates, we can differentiate the equation of the parabola with respect to time to find the x and y components of velocity. By using the chain rule, we find that the x-component of velocity (Vx) is constant and equal to v, while the y-component of velocity (Vy) is given by Vy = 2fx'(t), where x'(t) is the derivative of x with respect to time.

In plane polar coordinates, we can express the position of the particle as (r, θ), where r represents the radial distance from the origin and θ represents the angle with respect to a reference axis. We can rewrite the equation of the parabola in terms of polar coordinates, resulting in r = (1 - cos(2θ))/2f. By differentiating this equation with respect to time, we can find the radial and angular components of velocity.

To determine the acceleration components, we can differentiate the velocity components obtained in both rectangular and polar coordinates with respect to time.

The derived equation r = (1 - cos(2θ))/2f or rcos²(2θ) = f represents the parabolic path in polar coordinates, providing an alternative representation of the given parabola equation.

Learn more about Parabolic

brainly.com/question/14003217

#SPJ11

The function that represents the paycheck is an illustration of a linear function

The function is given as:

\(f(x) = 11.75x + 50\)

(a) Hours to earn $200000

This means that:

\(f(x) = 200000\)

So, we have:

\(11.75x + 50 = 200000\)

Collect like terms

\(11.75x = 200000 - 50\)

\(11.75x = 199950\)

Solve for x

\(x = \frac{199950}{11.75}\)

\(x = 17017\)

(b) See attachment for the graph of \(f(x) = 11.75x + 50\)

(c) The possible values

The function is a linear function with a positive slope.

This means that:

Hence,

If you worked more hours; you'd get a nicer car

If you worked less; you'd get a cheaper car

Read more about linear functions at:

https://brainly.com/question/11897796

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Let's solve your equation step-by-step.

5(2x+4)=10(6x−8)

Step 1: Simplify both sides of the equation.

5(2x+4)=10(6x−8)

(5)(2x)+(5)(4)=(10)(6x)+(10)(−8)(Distribute)

10x+20=60x+−80

10x+20=60x−80

Step 2: Subtract 60x from both sides.

10x+20−60x=60x−80−60x

−50x+20=−80

Step 3: Subtract 20 from both sides.

−50x+20−20=−80−20

−50x=−100

Step 4: Divide both sides by -50.

−50x

−50

=

−100

−50

x=2

Answer:

x=2

If we draw both triangles, we get the following:

notice that the transformation on triangle 1 made it smaller, then, we have a dilation.

To find the scale factor, we have to remember the general rule for the dilations on the cartesian plane:

in this case, we can take the point A' on triangle 2 and the point A on triangle 1 , assuming that the transformation gave us the point on triangle 2:

solving for k, we get:

therefore, the scale factor is k = 1/3

Answer:

375 fishes

Step-by-step explanation:

12000 divided by 2 is 6000 1st year

6000 divided by 2 is 3000 2nd year

3000 divided by 2 is 1500 3rd year

1500 divided by 2 is 750 4th year

750 divided by 2 is 375 5th year

Answer:

y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold

y=76+2.5(32)

y=76+80

y=156

he earns 156 dollars if he sold 32 tshirts

Step-by-step explanation: