Points B and C lie on a circle with center O and a radius of 15 units. If the length of arc BC is 21 units, what is m *BOC in radians?

Answer:

3y = -5x + 8

Step-by-step explanation:

Point Slope Equation Of A Straight Line:
              y - y1 = m(x - x1)

where m = slope of the line and (x1, y1) is any point on the line

Slope is given by rise/run

For any two point (x1, y1) and (x2, y2) on the line

rise = y2 - y1  
and
run = x2 - x1

Given points (-2, 6) and (1, 1)
rise = 1 - 6 = -5
run = 1 - (-2) = 1 + 2 = 3

rise/run = m = -5/3

Equation using the point (1, 1) is
y - 1 = -5/3(x - 1)

y - 1 = -5/3x + 5/3

Multiply both sides by 3 to get

3(y - 1) = 3 x (-5/3)x + 3(5/3)
3y - 3 = -5x + 5
3y = -5x + 8

Given that you have a room that has dimensions l and w wherein l is the length of the room while w is the width of the room (shown in a diagram below).

the area of the room can be computed using the equation

Basically, we just multiply the length and the width of the room.

The x-intercepts are

x = 7

and

x = -1/2

SOLUTION:

we need to find the value of x where y or f(x) is 0

the expression x-7 will be zero if x=7

the expression 4x+2 will be zero if x = -1/2

The total amount spent on lunch per year would be 325 dollars.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Your lunch in the hospital cafeteria cost $6.50. Based on working 50 weeks per year, then;

The lunch in the hospital cafeteria cost = $6.50.

The total amount spend on lunch per year;

6.50 x 50

325

Hence, the total amount spent on lunch per year would be 325 dollars.

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we have

(2x-1)/5-(3x+2)/4

{4(2x-1)-5(3x+2)}/20

{8x-4-15x-10}/20

{-7x-14}

5-(3x+2)/4

4(2x-1

In this case the answer is very simple .

Step 01:

Data

5 friends

1/2 pizza

Step 02:

We must distribute the pizza among 5 friends.

The answer is:

Option B.

1\2÷5=n

Answer:

a= -4

b -15

c -10

Step-by-step explanation:

by avoiding x^3 you can find your problem

Answer: .619 weeks per year

Step-by-step explanation:

52 weeks * 2 hours * 3 years = 312 hours tutored over 3 years

24 hours in a day * 7 days in a week = 168 hours in a week

312 / 168 = 1.857 weeks tutored over 3 years

1.857 / 3 = .619 weeks tutored per year

The number of extra crunchy peanut butter that the company would produce (current production units) is 1,700 containers.

Using the mathematical operation of subtraction, the number of units to be produced can be determined.

First, we have that the ending inventory for the last period was 300 containers.

This ending inventory is subtracted from the required production level, to determine the number of containers to produce for this period.

Thus, to meet the production requirements, the company would produce additional 1,700 containers of crunchy peanut butter.

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Ending inventory of regular crunchy peanut butter from last period = 300 containers.

Answer: 156.86

Step-by-step explanation:

According to the given data we have the following:

Javier exercises for 2 1/2 hours every Saturday, hence, he exercises for 2.5 hours.

In order to calculate the amount of time he spend weightlifting we would make the following calculation:

amount of time he spend weightlifting=total training per day/2

amount of time he spend weightlifting=2.5 hours/2

amount of time he spend weightlifting=1.25 hours

Therefore, he spends weightlifting 1 hour and 25 minutes every saturday

Answer:

t-ratio = 0.362

Step-by-step explanation:

In hypothesis testing,

The t-ratio is given by the formula:

[tex]\dfrac{X-\mu}{s}[/tex]

where μ is the hypothesized mean, X the sample mean and s the sample standard deviation

The Standard Error of the Mean SEM = [tex]\large \text{{$\dfrac{s}{\sqrt{n}}$}}[/tex]  where n is the sample size.

We We are given:

X = 46,000
μ= 45,000

SEM = 436.81

n = 40

We can find the sample standard deviation
s = SEM x √n
s = 436.81 x √ 40

s = 2762.3

Therefore

t-ratio = (46000 - 45000)/2762.3 = 0.362

Answer:

first one

y can be every number so it can be a -6 to infinity

[tex] - 1 < y [/tex]

[tex]y = - 6 \: or \: \infty [/tex]

second two

y<8

[tex]y < 8 \: or \infty [/tex]

By the first term of the given function 7lx - 3l you can notice that there is a translation 3 units to the right of the pattern function lxl. This allows one to conclude that the x-coordinate of the vertex is 3.

Now, for such a value of x the function value is 7l3 - 3l - 2 = -2. Then, the y-coordinate of the vertex is -2.

Hence, the vertex of the function is (3,-2)

Answer:

Step-by-step explanation: Answer is real number

The sequence is not an arithmetic sequence because. The n-term for an arithmetic sequence is:

where d is the difference between two consecutive numbers. In this case d = 2. Because

15-13 = 2

13-11 = 2

11- 9 = 2

now, the first term for 15,13,11,9 is 15 = a_1, the second term would be:

that is equivalent to say:

So we can conclude that 15,13,11,9 is not an arithmetic sequence.

Answer:

The answer tp this question is: 9.

LE THE UNKNOWN NUMBER BE x WHEN I SOLVE

[tex] \frac{0.2}{100} \times x = 8 \\ \frac{0.2x}{100} = 8 \\ [/tex]

I WILL USE CROSS MULTIPLICATION

[tex]0.2x = 8(100) \\ 0.2x = 800 \\ \frac{0.2x}{0.2} = \frac{800}{0.2} \\ x = 4000[/tex]

OF ( 4000) IS 0.2% OF 8.

HOPE THIS HELPS.

The standard form of the equation of line CD is x + y = 1

The standard form ;of equation of s line is written in the form

Ax + By = C

Line that are parallel has equal slope hence solving for the slope of line

x + y = 3 we have

y = -x + 3

The slope is -1

Equation of line CD passing through points ( 0, 1 )

( y - 1 ) = -1 * ( x - 0 )

y - 1 = -1 * x

y = -x + 1

writing to standard form

x + y = 1

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In this problem we have that

the parent function or original function is

the transformation is a translation of 2 units at left

so

the rule is

(x,y) ------> (x-2,y)

therefore

the equation of the given graph is

Using alternate exterior angles,

[tex]3x-31=x+59\\\\2x=90\\\\x=45\\\\\implies 3x-31=x+59=104[/tex]

So,

[tex]\angle 1[/tex]: 76 degrees using linear pairs

[tex]\angle 2[/tex]: 104 degrees using corresponding angles

[tex]\angle 3[/tex]: 76 degrees using vertical angles

[tex]\angle 4[/tex]: 104 degrees using same-side interior angles

[tex]\angle 5[/tex]: 76 degrees using linear pairs

[tex]\angle 6[/tex]: 76 degrees using vertical angles

Answer:

the value of x is 2

Step-by-step explanation:

3x + 6

x = 6 ÷ 3

x = 2

3x + 6

3× 2 + 6

6+6

12

-4 + 8x

-4 + 8×2

-4+16

12

Based on the given information, we can express the following

Because the digit of hundreds is 1 more the tens, and they sum 11. Let's combine the function to find t

So, the digit of tens is 5.

Let's find the hundreds.

The number of hundreds is 6.

EXPLANATION

If the volume of a sphere is 80487 in^3, the diameter would be given by the following relationship:

Replacing terms:

Isolating r^3:

Applying the cubic root to both sides:

Switching sides:

Multiplying numbers:

EXPLANATION

Let's see the facts:

Midpoint = (-2,5)

A=(4,7)

Let the point of B as B=(x,y)

Then,

Multiplying the frist equation by 2:

Subtracting -4 to both sides:

Simplifying:

Multiplying the second equation by 2:

Subtracting -7 to both sides:

The coordinates of the point B are:

B=(-8,3)

Answer:

1 degrees F

Step-by-step explanation:

-3+12-6=3

3/3 = 1

1 degrees F

:]

Answer:

130

Step-by-step explanation:

100+30

Answer:

130

Step-by-step explanation:

100+30=130

Answer:  Choice C

any fraction with a positive numerator and a negative denominator

======================================================

Explanation:

Consider the fraction 10/(-5) where we divide 10 over -5

The numerator 10 is larger than the denominator -5, as any positive number is larger than a negative number. But 10/(-5) simplifies to -2 which is not greater than 1.

This is one counterexample to show that the original conditional statement is false.

The number 1 sits in the 100 millions place.

The 100 millions place is 8 spaces to the left of the decimal. Hence, considering 1 is 8 spaces from where a decimal place could be, then 1 is in the 100 millions place.

Hope this helps!