Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
0.1365853 can be rounded to: 0.1 (Tenths), 0.14 (Hundredths), 0.137 (Thousandths), 0.1366 (Ten Thousandths)
Answer:
a) Destiny can run 1 mile is 6 minutes.
b) Destiny can walk back 1 mile is 16 minutes.
Step-by-step explanation:
The running rate of Destiny is

So, she runs 1 mile in
= 6 minutes
Hence, Destiny can run 1 mile is 6 minutes.
The walking rate of Destiny is

So, she walks 1 mile in
= 16 minutes
Hence, Destiny can walk back 1 mile is 16 minutes.
Answer:
Option (4)
Step-by-step explanation:
If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.
From the given picture,

95° = 
190 = 135 + 

= 55°
Therefore, option (4) will be the correct option.
Answer:
-4a -14
Step-by-step explanation:
2* (-2a-7)
Distribute
2(-2a) - 2(7)
-4a -14