Answer:
As n tends to positive infinity, we have that,
A. 5/n + n/5 ---- converges
B. 5^-n. -----------converges
C. Sin n/5n------ converges
D. 5n + 5/n ------diverges
Step-by-step explanation:
Answer:
Point F is at -3
Step-by-step explanation:
Answer:
50 nickels, 20 quarters.
Step-by-step explanation:
System of equations (q = # of quarters, n = # of nickels):
<em>q + n = 70, 0.25q + 0.05n = 7.50</em>
the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.
So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.
Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.
First statement: False. Points K, M and N form a triangle.
Second statement: True. Points J, K, and Q are on the same line.
Third statement: False. KN and MQ intersect at N, not at R.
Fourth statement: False. JQ and KM intersect at K, but MQ does not pass through it.
Fifth statement: True. By definition, there is always only 1 line that can be drawn between 2 given points.
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
