Answer:
5/2
Step-by-step explanation:
10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.
Answer:
y = -49 x = 69
Step-by-step explanation:
make an equation
x+y=20 and x-y=118
then you can solve by elimination
x+y=20
x-y=118
=2x=138
x=69
69-y=118
-y=49
y=-49
Answer:
Step-by-step explanation:
We khow that the genetic mutation affect 2 percent of the population .
Let's try to understand what does this mean :
- in a group of 100 people there is possibility of finding 2 people with this genetic mutation
- in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2
so :
- 100⇒2
- 1000⇒20
- 10000⇒200
- 100000⇒2000
and so on
Answer is 8671/6 which is the third choice
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Work Shown:
Find the first term of the sequence by plugging in n = 1
a_n = (5/6)*n + 1/3
a_1 = (5/6)*1 + 1/3 replace n with 1
a_1 = 5/6 + 1/3
a_1 = 5/6 + 2/6
a_1 = 7/6
Repeat for n = 58 to get the 58th term
a_n = (5/6)*n + 1/3
a_58 = (5/6)*58 + 1/3 replace n with 58
a_58 = (5/6)*(58/1) + 1/3
a_58 = (5*58)/(6*1) + 1/3
a_58 = 290/6 + 1/3
a_58 = 145/3 + 1/3
a_58 = 146/3
Now we can use the s_n formula below with n = 58
s_n = (n/2)*(a_1 + a_n)
s_58 = (58/2)*(a_1 + a_58) replace n with 58
s_58 = (58/2)*(7/6 + a_58) replace a_1 with 7/6
s_58 = (58/2)*(7/6 + 146/3) replace a_58 with 146/3
s_58 = (58/2)*(7/6 + 292/6)
s_58 = (58/2)*(299/6)
s_58 = (58*299)/(2*6)
s_58 = 17342/12
s_58 = 8671/6
Answer:
1374
Step-by-step explanation:k=
1887526.40528 ≈1373.873≈1374
