Answer:
B. 
Step-by-step explanation:
We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is 
meters wide.
Using an optical microscope, we can see items up to 
meters wide.
To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:
Using the exponent rule of quotient 
we will get,
Therefore, the objects we can see with our eyes are times larger than the objects we can see with an optical microscope and option B is the correct choice.
10 divided by 5 =2 floors per second. Divide 2 by 1= 1. 1 floor in 1 second.
Answer:
<x= 31°
Step-by-step explanation:
m<BCA= m<GCJ (vertical angles)
m<BCA= 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC=90°
m<BAC+m<ABC+m<BCA=180° (sum of triangle)
m<BAC+90°+59°=180° (substitution)
m<BAC+149°=180°
m<BAC=180°-149°
m<BAC=31°
<x=<BAC (vertical angles)
m<x=31° (substitution)
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
Answers:
- No
- Yes
- No
- Yes
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Explanation:
Let's use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (6-4)/(5-2)
m = 2/3
The slope of the line is 2/3.
We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.
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Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.
If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying
If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.
That makes choices 2 and 4 "yes" responses.
