Which of the following relations is also a function?
o {(1,6), (1,7), (7,8), (8,9)}
o {(0,1),(0,2), (0,3), (0,4)}
o {(1,1),(3,2), (6,3), (8,4)}
o {(2,3), (3, 2), (2, 4), (4,2)}

Answer:

23/3

Step-by-step explanation:

Convert the mixed number 723 7 2 3 into an improper fraction first by multiplying the denominator (3) by the whole number part (7) and add the numerator (2) to get the new numerator. Place the new numerator (23) over the old denominator (3) .

72/3 as an improper fraction is 23/3.

To convert the mixed number72/3 to an indecorous bit, we follow these way

Multiply the whole number( 7) by the denominator of the bit

= 7 x 3

= 21.

Add the result to the numerator of the bit

= 21 + 2

= 23.

Write the sum as the numerator of the indecorous bit 23.

The denominator remains the same 3.

Thus, 72/3 as an indecorous bit is 23/3.

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Answer:

a/c and d/e are equal to cos(b)

Step-by-step explanation:

i used substitute and solve at first, but that didnt work too well so i moved on to the guess and check method.

my guess is a/c and d/e are equal to cos(b), can anyone check this?

Given:

The data set is 60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74.

To find:

The IQR and outliers.

Solution:

The given data set is

60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74

Arrange the data values in ascending order.

50, 54, 60, 62, 67, 70, 70, 74, 74, 82, 88, 89

Divide the data set in two equal parts.

(50, 54, 60, 62, 67, 70), (70, 74, 74, 82, 88, 89)

Divide each parentheses in two equal parts.

(50, 54, 60), (62, 67, 70), (70, 74, 74), (82, 88, 89)

Now,

[tex]Q_1=\dfrac{60+62}{2}[/tex]

[tex]Q_1=\dfrac{122}{2}[/tex]

[tex]Q_1=61[/tex]

And,

[tex]Q_3=\dfrac{74+82}{2}[/tex]

[tex]Q_3=\dfrac{156}{2}[/tex]

[tex]Q_3=78[/tex]

We know that, the inter quartile range is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=78-61[/tex]

[tex]IQR=17[/tex]

The IQR is 17.

If the data values lie outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex], then those values are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[61-1.5(17),78+1.5(17)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[35.5,103.5][/tex]

All data values lie in the interval [35.5,103.5]. So, there are no outliers.

Therefore, the correct option is B.

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

Answer:

Step-by-step explanation:

Given the coordinate points (2, 6) and (5, 0)

We are to find the equation of the line passing through the points

The standard form of the equation is expressed as y = mx+c

m is the slope

c is the y intercept

Get the slope

m = y2-y1/x2-x1

m = 0-6/5-2

m = -6/3

m = -2

Get the intercept

Substitute m = -2 and the point (5, 0) into the equation y = mx+c

0 = -2(5) + c

0 = 10 + c

c = 10

Get the equation

Recall that y = mx+c

y = -2x + 10

Hence the required equation is y = -2x + 10

Answer:

P

Step-by-step explanation:

Answer:

P

Explanation:

N and Q are both acute angles while P is an Obtuse angle.

Answer:

B.

Step-by-step explanation:

Answer:

50,000

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Answer:

79!

Step-by-step explanation:

Anything above 78.5 would be rounded up :)

102+28=130 180-130=50, answer is 50°

answer: the first 1 is y=3x+1  the second 1 is y=-x-3 ⤵

Answer:

A i think?

Step-by-step explanation:

25% probably

Answer:

d) 50%

Step-by-step explanation:

32 oz - 16 oz = 16 oz

[tex] \frac{16}{32} = \frac{1}{2} = 50\%[/tex]

Answer:

94

Step-by-step explanation:

Answer:

c took quiz

Step-by-step explanation:

Circle A can be made similar to circle B by dilating circle A by scale factor 4.

Circles can be made similar by performing transformations such as dilations, translation, etc.

The given parameters are:

Circle A

[tex](x,y) = (6,7)[/tex] --- center

[tex]r=4[/tex] --- radius

Circle B

[tex](x,y) = (2,4)[/tex]  --- center

[tex]r = 16[/tex] --- radius

To do this, we simply make both circles have the same radius.

Given that:

[tex]r_A=4[/tex] --- radius of A

[tex]r_B = 16[/tex] --- radius of B

Dilating the radius of A by 4 will make both circles have the same radius.

i.e.

[tex]R = r_A * 4[/tex]

[tex]R = 4 * 4[/tex]

[tex]R = 16[/tex]

Now, the new radius of A is 16; same as B

Both circles now have the same radius, means that the circles are similar.

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Answer:

4

Step-by-step explanation:

He need 4 eggs to make an omelet.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Brandon has 6 eggs.

And, He needs 2/3 of the eggs to make an omelet.

Here, Number of eggs = 6

And, He needs 2/3 of the eggs to make an omelet.

Hence, We get;

Number of egg to make an omelet = 2/3 of 6

                                                      = 2/3 × 6

                                                      = 4

Thus, Number of eggs to make an omelet = 4

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Answer:

28x-8

Step-by-step explanation:

There are four sides in a square, and all the sides are the same length. Because one side is 7x-2, we just have to do 4(7x-2) to get 28x-8

Answer:

14 feet

Step-by-step explanation:

Answer:

PART A: C = 10 +8h

PART B: what you do is plug in the number 9 to h. so then you get C = 10 +8(9). This simplifies to C = 10 + 72. The final answer is C = 82. So Jessica made $82 for babysitting for 9 hours.

Answer:

part A:

С = 10 + 8h

part B :

$10 + $8 · 9 = $82

Y = -1

The point on the graph shows it point on -1. On the Y axis.

Answer:

[tex] \huge y = \frac{ (- 2)}{5} x - 2[/tex]

is the right answer.

hope this helps.!!!

Answer: 360 pounds

Step-by-step explanation:

Neil Armstrong weighs 185 pounds on the Earth but on the moon weighs 30 pounds.

Using direct proportion, if an elephant of , pounds was taken to the moon, it would weigh:

185       :      30

2,220   :       x

185x = 66,600

x = 66,600/185

x = 360 pounds

Answer:

1 5/12

.........................

Answer:

-

Step-by-step explanation:

y−6−y−8−x4−x−5

=y+−6+−y+−8+−x4+−x+−5

Combine Like Terms:

=y+−6+−y+−8+−x4+−x+−5

=(−x4)+(−x)+(y+−y)+(−6+−8+−5)

=−x4+−x+−19

Answer:

=−x to the power of 4 minus  x  minus 19

just put in the symbols were my answers are

Answer:

Town C is approximately 58.356 kilometers from town A.

Step-by-step explanation:

According to the statement, we understand that tourist travels from town A to town B (50 kilometers) at a direction of 80º west of north and from town B to town C (40 kilometers) at a direction of 20º east of north. Vectorially speaking, the resultant from town A to town C is described by the following formula:

[tex]\vec r = (50\,km)\cdot (-\sin80^{\circ},\cos 80^{\circ})+(40\,km)\cdot (\sin 20^{\circ}, \cos 20^{\circ})[/tex]

[tex]\vec r = (-35.560,46.270)\,[km][/tex]

The distance from town A to town C is the magnitude of vector reported above, which is now calculated by Pythagorean Theorem:

[tex]\|\vec r\| = \sqrt{(-35.560\,km)^{2}+(46.270\,km)^{2}}[/tex]

[tex]\|\vec r\| \approx 58.356\,km[/tex]

Town C is approximately 58.356 kilometers from town A.

Answer:

4

Step-by-step explanation:

If the rectangle covers 2 squares at a time ; sum of each covered square would be :

1 + 2 = 3

2 +3 = 5

3 + 6 = 9

6 + 5 = 11

5 + 4 = 9

4 + 1 = 5

The sums are :

3, 5, 9, 11, 9.5

The different sums are :

3, 5, 9, 11

Hence, the number of different sums is 4

Step-by-step explanation:

[tex] {30.5}^{2} = {x}^{2} + {19.1}^{2} \\ 930.25 = {x}^{2} + 364.81 \\ {x}^{2} = 930.25 - 364.81 \\ {x}^{2} = 565.44 \\ x = \sqrt{565.44} \\ \\ x = 23.78[/tex]

Answer:

181/65

Step-by-step explanation:

If cos theta is 5/13 then sin theta is equal to 12/13. This is because 5 squared (25) + 12 squared (144) = thirteen squared (169). Tan is sin/cos or opposite/adjacent, so it is equal to 12/5. To add 12/5 and 5/13 you need a common denominator, 65 in this case. 12 times 13 = 156 and 5 times 5 = 25. 156 + 25 = 181. Final answer is 181/65.

Answer:

$550 was invested in the 4% account while $700 was invested in the 7% account

Step-by-step explanation:

Let the amount invested in each account be $x and $y respectively

The sum of these two is $1,250

Mathematically;

x + y = 1250 •••••(i)

Now, let’s work with the interest rate;

4% of x + 7% of y = 71

4x/100 + 7y/100 = 71

Multiply through by 100

4x + 7y = 7100 •••••(ii)

From i;

x = 1250-y

Substitute this into ii

4(1250-y) + 7y = 7100

5000 - 4y + 7y = 7100

3y = 7100-5000

3y = 2100

y = 2100/3

y = 700

Recall;

x + y = 1250

700 + x = 1250

x = 1250 - 700

x = 550

Answer:

Y=3x+4

Step-by-step explanation:

Slope =3

Then y=3x+c

The point pass through (0,4) then put x=0 and y=4

4=3(0)+c

Then c=4

The equation is y=3x+4

Answer:

the equation is

Y=3x+4

Answer:

No mode

Median: 12

Step-by-step explanation:

there is no mode because there is no 2 or more numbers that are the same

the median is 12 because if you put the number in order: 5,8,9,12,18,22,25 then the middle number is 12