Answer:
105th term of given series is
Step-by-step explanation:
Given series is
As we can see,
Also,
hence, we can say given series is in arithmetic progression,
with common difference,
As given in question the nth term in A.P is given by
since we have to find the 105th term, so we can write
Hence, the 105th term of given series of A.P is 
.
Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
Choice A is one of the answers. Nice work. This is because x+x+x turns into 3x.
Choice D is the other answer because 2(x+1) + x = 2x+2+x = 3x+2. You can find this through trial and error. Or you could graph y = x+x+x+2 and y = 2(x+1)+2 to find that they are the same exact identical diagonal line. A non-graph approach would be to set up a table of values to see that the two tables are identical.
You would travel 73.333334ft per second because 50 miles/hour would make 73.333333repete foot/second.
Answer:
-1 12⁄13
Step-by-step explanation:
-13x = 25 [Divide by -13]
x = -1 12⁄13
13 is your <em>divisor</em>, which will be your denominator, and the numerator is your <em>remainder</em><em>.</em><em> </em>Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:
-25⁄13 = -1 12⁄13
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