Analyze the set below and complete the instructions that follow.
C= {x|x<-42}
Use set-builder notation to define the complement of the set. U=R.
A. C^c=Ø
B. C^c={c|c<=-42}
C. C^c={x|x>=-42}
D. C^c={x|xeR}

Answer:

392.5 ft

Step-by-step explanation:

First, let's find the circumference of the track. This is 2 * 3.14 * 150 = 942 ft. 150° is 5 / 12 of 360° (the full circle) so that means that the minor arc it forms (which is also the arc the man ran) is 5/12 of the circumference. This means that the answer is 5/12 * 942 = 392.5 ft. Hope this helps!

Answer:

Step-by-step explanation:

length of the arc = angle/360 * 2 * pi * r

150/360 * 2 * 22/7 * 150

393 ft

Answer:

Grids b and c have 25% shaded

Step-by-step explanation:

a) shaded = 5/16 = 31.25%

b) shaded = 4/16 = 25%

c) shaded = 5/20 = 25%

d) shaded = 3/10 = 30%

Answer:

grid b and c

Step-by-step explanation:

Answer:

im not completely sure but i think its 56.55

sorry if its wrong:/

Step-by-step explanation:

Answer:

a + 2,500 < 32,000; a < 29,500

Step-by-step explanation:

This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.

As 2,500+ 29,500 = 32,000

The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.

Answer:

blank: 0.02

lettered: 0.98

vowel: 0.42

consonant: 0.56

Step-by-step explanation:

In the figure attached, the number of tiles of each letter are shown.

number of blank outcomes: 2

number of lettered outcomes: 98

number of vowel outcomes: 9 + 12 + 9 + 8 + 4 = 42

number of consonant outcomes: 98 - 42 = 56

Total number of outcomes: 100

Probability that first tile drawn is a blank tile: 2/100 = 0.02

Probability that first tile drawn is labeled with a letter: 98/100 = 0.98

Probability that first tile drawn is a  vowel: 42/100 = 0.42

Probability that first tile drawn is a consonant: 56/100 = 0.56

Answer:

they are both right

Step-by-step explanation:

to the left is 10x value of number on the right

Answer:

1. 8a

2. -13

Step-by-step explanation:

1. 2(5a − 4a) + 6a

= 10a - 8a + 6a

= 2a + 6a

= 8a

2. −2(x − 9) = 44

-2x + 18 = 44

-2x = 44 - 18

-2x = 26

x = 26/-2

x = -13

1) open the bracket

10a-8a+6a

2a+6a

8a

2) open the bracket

-2x+18=44. Remember - × - = +

Collect like terms

-2x=44-18

-2x=26

Divide both side by -2

x=-13

Answer:

5

Step-by-step explanation:

25/100*4=1= the increased price

so 4+1=5= the current price per pound

Answer:

Step-by-step explanation: idk

Answer:

is 1 quart

Step-by-step explanation:

Answer:

1/2 quart

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

Since b and the angle with measure 31 must add up to 90, you can set up the following equation.

b+31=90

b=90-31

b=59 degrees

Hope this helps!

Answer: 59 degrees

Step-by-step explanation:

Since it is a 90-degree angle all you do is subtract 90 from 31 and get 59.

Answer:

Sample answer for Edmentum and Plato:

Like and Rate!!!

Answer:

Step-by-step explanation:

2x^2-10x+7         A=1, B=-10. C=7

-(-10)±√-10^2-4(1)(7)

------------------------------

2(1)

10±√100-28

----------------

2

10±√72

-----------

2

10±8.485281374

            2

10+8.485281374 =9.24

10-8.485281374 =0.76

               2

Weight of wood block is 15.543 ounces.

Given that;

Height of block = 4 inches

Diameter of block = 3 inches

1 cubic inch of wood = 0.55 ounces

Find:

Weight of wood block

Computation:

Radius of block = 3 / 2

Radius of block = 1.5 inches

Volume of toy = πr²h

Volume of toy = (3.14)(1.5)²(4)

Volume of toy = (3.14)(2.25)(4)

Volume of toy = 28.26 cubic inch

Weight of wood block = Volume of toy × 0.55 ounces

Weight of wood block = 28.26 × 0.55 ounces

Weight of wood block = 15.543 ounces

Find out more information about 'Weight of wood'.

https://brainly.com/question/4980247?referrer=searchResults

Answer:

True

Step-by-step explanation:

As long as the relationships are the same they are proportional.

Answer:

The volume of the cone is one third to the volume of the cylinder.

Step-by-step explanation:

It is because the formula of volume of cone is 1/3 to the volume of cylinder .

Volme of cone :

[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]

Volume of cylinder :

[tex]v = \pi {r}^{2} h[/tex]

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.

Checking it at x=5, we obtain:

y = 25*5 + 35 = 125 + 35 = 160.

That checks.

Now to figure an 8-hr job, set x=8 and use the equation"

y = 25*8 + 35.

y = 200 + 35.

y = 235.

That means an 8-hr job costs $235.

Answer:

  y = 1/2x^2 +6

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet is useful for this purpose. It shows you the equation is ...

  y = 1/2x^2 +6

_____

Alternate solution

Another way to approach this is to look at first and second differences of the y-values.

Sequence of y-values:

  6, 6.5, 8, 10.5, 14

Sequence of first differences:

  0.5, 1.5, 2.5, 3.5

Sequence of second differences:

  1, 1, 1, 1

The leading coefficient of the quadratic is half the value of the second differences: a = 1/2. The constant in the quadratic is the y-intercept, the value when x=0. The first point gives that as 6.

__

Now, you can check some other point to see what the linear term coefficient might be:

  y = 1/2x^2 +bx +6

For x=2, this is ...

  8 = 1/2(2^2) +b(2) +6 = 8 +2b . . . . . substitute (x, y) = (2, 8), simplify

  0 = 2b   ⇒   b = 0

Then the quadratic is ...

  y = 1/2x^2 +6

_____

Additional comment

You may not know the relation between second differences and the leading coefficient. The most general way to solve this is to write three equations in the unknown coefficients. Since y has integer values for x=0, 2, 4, you may want to use these. For (x, y) = (0, 6), (2, 8), and (4, 14), you have ...

  y = ax² +bx +c

After finding c=6 in the first equation, you have two equations in 2 unknowns:

The solution to these is a=1/2, b=0, as above.

Answer:

Step-by-step explanation:

substitute a point value into the equation to find the missing number (the y-intercept)

you could either substitute (0,-4) or (1,2) into the equationn

y = 6x + b

-4 = 6(0) +b

-4 = 0+b

b = -4

or

y = 6x +b

2 = 6(1) + b

2= 6 +b

b= -4

Answer:

-4

Step-by-step explanation:

Y = mx+b is the slope intercept form of the equation

where m is the slope and b is the y intercept

The y intercept is where the line crosses the y axis

It is the value where x is zero

(0,-4)  the x value is zero so the y intercept is -4

Answer:

Step-by-step explanation:

Answer:

(-2y+5x) / (3x - 2y)

Step-by-step explanation:

If we write this sentence, we have:

((-2/x) + (5/y)) / ((3/y) - (2/x))

If we do LCM in the denominators of each fraction, we have:

((-2y+5x)/xy) / ((3x - 2y)/xy)

We can cut the 'xy' in the numerator and denominator of the whole fraction:

(-2y+5x) / (3x - 2y)

The final expression we have is (-2y+5x) / (3x - 2y)

Answer:

c

Step-by-step explanation:

227° is in the third quadrant. To find the reference angle subtract 180° from it.

reference angle = 227° - 180° = 47° → c

Answer:

-6 is the answer.

Step-by-step explanation:

SO to do this:

given y=x-6

plug in 0 for x and solve for y

y = 0-6

y= -6

Answer:

the answer is 6 if I had time to explain how I got this but I have to walk my dog after put my phone down then watch tv sorry for the extra stuff.

Step-by-step explanation:

Answer:

20 feet

Step-by-step explanation:

If a fence is covering something, you have to find the perimiter so you would do 6+4+6+4=20 feet

Answer:

yes 54.5 is passing a grade

Step-by-step explanation:

Answer:

Step-by-step explanation:

no 54.5% is not passing...  and the lowest you can have and still pass is 59%... well if you consider a D passing

Answer:

The big number is 41 and the small number is 32.

Step-by-step explanation:

b + s = 73

2b - s = 50        Add these equations together

3b = 123            Divide both sides by 3

b = 41

Now plug this into the first equation to find s

41 + s = 73

-41       - 41

s = 32

Answer:

.

Step-by-step explanation:

Answer:

y-intercept(s): 0,4

Step-by-step explanation:

find the x-intercept, substitute in

0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

Answer:

35

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

In a proportional relationship, two values always have the same ratio to each other. This means that when we look at the equation of a line, y=mx+b, where m=slope and b=how much more plus the slope y is, there cannot be a "b" value.

An example of this is:

If the slope is 3,

y=3x

If x=2, y=6

If x=5, y=15

We can see that for every pair of coordinates, the ratio (5) between x and y remain the same.

y cannot have anything added to i (ex: y=3x+1), otherwise the ratio would change.

Ex:

If the equation is y=3x+1,

If x=1, y=4

If x=2, y=7

We can see that the ratios between the two numbers (1/4, 2/7) are not the same.

In this problem, the only equation without "b" is y=4x. Therefore, the answer is y=4x.