Answer: OPTION C.
Step-by-step explanation:
For this exercise it is important to remember the following:
Knowing this and based on the information provided in the exercise, you can make the conversion from kilograms to ounces. This is:
According to the exercise, Miriam's procedure was:
So you can identify that she made a mistake.
Notice that:
1. Miriaim multiplied correctly.
2. Butt the third fraction should be 
and not 
.
To write the system we need the slope of each line and at least one point on the line. The two lines to consider will be the lines connecting the location of each plane to the airport they are flying to. It is also worth noting that the coordinates of the airport represent the point of intersection of the two lines and thus the solution to the system.
1. slope of the line connecting airplane one and the airport: m = 2 you can see this clearly if you graph the two points. From airplane 1 location we rise 8 units and move to the right 4 units to get to the airport. Slope is defined as rise over run: so 8 divided by 4 = 2(the slope) Now substitute the slope and the point (2,4) into point-slope form of a line:
y - 4 = 2(x -4) the standard form of this equation is 2x - y = 0
2. slope of the line connecting airplane 2 and the airport: m = -
To find this slope, simply observe the vertical change of down 3 and a horizontal shift of right 9 from the airport to airplane 2. Now substitute this slope and and the point (15,9) into point-slope form of a line:
y - 9 =
(x - 15) the standard form of this equation is:
x + 3y = 42
Let's write the system:
2x - y = 0
x + 3y = 42
Multiply the first equation by 3 to get the new system
6x - 3y = 0
x + 3y = 42 add these two equations to get an equation in terms of x
7x = 42 thus x = 6 and substituting this value into 2x - y = 0 we see y = 12
In other words, we have proven that the location of the airport is in fact the solution to our system.
PS: You just have to do a little algebra to get from point-slope form of the two equations to standard form. I did not show this process, but if you need it just let me know... thanks
Lets use the formula 
to solve this, where,
- R is the rate
- W is the number of workers/things
- T is time
- J is number of jobs/things
<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -
W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:
<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use 
(previously found) to figure out T.</em>
<em>
</em>
So it will take 10 seconds for 50 printers to print 50 pages.
ANSWER: 10 seconds
Answer:
Step-by-step explanation:
The problem relates to filling 8 vacant positions by either 0 or 1
each position can be filled by 2 ways so no of permutation
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= 256
b )
Probability of opening of lock in first arbitrary attempt
= 1 / 256
c ) If first fails , there are remaining 255 permutations , so
probability of opening the lock in second arbitrary attempt
= 1 / 255 .
Answer:
Therefore surface integral is 
.
Step-by-step explanation:
Given function is,
To find,
where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,
- If unit vector
directed in positive (outward) direction then z=c and,
- If unit vector directed in negative (inward) direction then z=-c and,
Therefore surface integral without unit vector of the surface is,
