If R = {(1,2) ,(2,3) ,(3,4) ,(4,5) } is subset of A x B , Find domain (A) and Range (B) ​

Answer:

22/12

Step-by-step explanation:

98-8x=14+12(2-5x)

98-8x=14+24-60x

-8x +60x=10-9

52x=88

x=22/13

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.

Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display

Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)

The known data for the incidence of mumps is presented in the following table;

[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]

The data from the above table can be entered in MS Excel and a graph can be plotted as follows;

Please find attached the required graph created with MS Excel

Learn more about plotting graphs here:

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Answer:

tero bau ko tauko got it sjdhhrurjrbr

Answer:

LHS=6x/12x=6/12=1/2

RHS=1/2

LHS=RHS

Answer:

Polynomial Equation                          Degree                                  Example

Linear Equations                                     1                                    -3x + 1 = 4x + 5

Quadratic Equations                               2                                   x^2 – 6x + 9 = 0

Cubic Equations                                      3                              x^3 – 2x^2 + 3x = -5

Quartic Equations                                   4                                      x^4 – 2x^2 = -4

Step-by-step explanation:

Linear Equations

Linear equations are polynomial equations that have a degree of 1.

ax + b = 0

Solving for solutions for this type of equation will require us to isolate the unknown variable on one side of the equation. Master your craft in solving linear equations here.

Quadratic Equations

Quadratic equations are polynomial equations with a degree of 2.

ax2 + bx + c = 0

There are different ways we can solve quadratic equations – it mostly depends on the form of the quadratic expression on the right-hand side.

We can factor quadratic expressions and apply the zero-property.

Applying special algebraic properties such as the difference of two squares, perfect square trinomial properties, and completing the square.

Lastly, we can also use the quadratic formula to find the zeroes of quadratic equations.

Polynomial Equations (with a degree of 3 or higher)

Here’s the exciting part: what if we need to find the zeros of the solutions of a polynomial equation with degrees that are 3 or higher?

Some cubic and quartic equations can be factored by grouping and be reduced to equations with a smaller degree. There are times, however, that finding the actual factors can be challenging.

Step-by-step explanation:

this is correct answer thank you

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]

[tex]\\ \sf\longmapsto I=22500(3)[/tex]

[tex]\\ \sf\longmapsto I=67500[/tex]

The value of the home after the tenth year is 67500.

To find the value of the home after the tenth year?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Principal=P=$225000

Rate of interest=R=3%

Time=10 year

By the use of formula:

[tex]I=\frac{PRT}{100}[/tex]

[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]

So, the value of the home after the tenth year is 67500.

Learn more about simple interest here:

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The probability that a randomly selected student is female or left-handed is 107/137.

Probability = required outcome / Total possible outcomes

Probability that student is female or left-handed = [(probability that student is female + probability that female is left-handed)]

Therefore,

Probability that student is female :

P(Female student) = number of female / total number of student

Number of female student = 81

Total number of student = 137

P(Female student) = 81 / 137

P(Left handed student) = number of lefthanded student / total number of student

Number of left handed student = 26

Total number of student = 137= 26 / 137

P(student is female or left-handed) :

P(student is female or left-handed) :[(81/137) + (26/137)] = 107/137

Probability that student is female or left-handed is 107/137

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Answer:

True.

Step-by-step explanation:

As long as the vertex of the angle is at the center of curvature of the intercepted arc.

Answer:

90m

Step-by-step explanation:

Since the lava is traveling at a rate of 3m per day all we have to do is multiply 3 by 30. 3 x 30 = 90.

I hope this answer helps you out.

the lava have travelled 90 m in 30 days

Answer:

89 is the answer

Step-by-step explanation:

88.98

= 89

9514 1404 393

Answer:

  89.0

Step-by-step explanation:

One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.

Here, we want to round to a tenth (0.1), so we first add half that value:

  88.98 + 0.05 = 89.03

Now, we throw away all digits after the tenths place.

  89.0 . . . . our rounded value

Answer:

step by step

take v to divide

r=h/v

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

9514 1404 393

Answer:

  I and III only

Step-by-step explanation:

The graph is symmetrical about the y-axis, so is an even function.

The function is decreasing in the 1st quadrant, so is not increasing everywhere.

The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.

  I and III only

Answer:

The side lengths are:

15, 30, and 30

Step-by-step explanation:

Let x determine the length of the smallest side length then

the other one is said to be 15 in larger so it's x + 15

finally the third size is said to be twice as the smallest one so it's 2x

The perimeter is the sum of all three sides added up

x + 2x + x + 15 = 75 add like terms

4x + 15 = 75 subtract 15 from both sides

4x = 60 divide both sides by 4

x = 15

Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

Answer:

UW = 67

Step-by-step explanation:

In order to find UW, we need to add UV and VW because them together makes the entire line, also known in this problem as UW. This is our equation:

UV + UV = UW

This is the equation if you plug the numbers:

19 + 4x - 20 = 6x - 35

Combine like terms to make it easier to do the math:

4x - 1 = 6x - 35

Then do the math:

(4x - 4x) -1 = (6x - 4x) - 35

-1 = 2x - 35

(-1 + 35) = 2x (- 35 + 35)

34 = 2x

34/2 = 2x/2

x = 17

Then you plug in x for the UW expression:

6x - 35

6(17) - 35

102 - 35

67

UW = 67

9514 1404 393

Answer:

  2

Step-by-step explanation:

The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.

There are 2 solutions to the graphed system of equations.

Answer:

78 meter 360meters 600 meters

Answer: No, a triangle is not possible in this case

Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.

Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true

where a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.

I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.

Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have

P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8

Refer to the equation y=mx+c

Answer:

-20 -d

Step-by-step explanation:

-(20+d)

Distribute he minus sign

-20 -d

Answer: 25650

Step-by-step explanation: 10% of 28500 is well 2850

28500-2850=25650

(if only i could get good rates on my car)

Answer:

The scuba diver is at sea level.

Step-by-step explanation:

Hi there!

We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.

This means she would be at sea level, not above or below.

You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.

I hope this helps!

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

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