Answer:
2 x 3² x 5 x 11
Step-by-step explanation:
990 ÷ 2 = 495 so 2 is one factor
495 ÷ 2 = 247.5 - There is a remainder. So we can't divide by 2 anymore. Use next prime number
495 ÷ 3 = 165 - No remainder. So 3 is one factor
165 ÷ 3 = 55 - No remainder. So 3 is one factor
55 ÷ 3 = 18.3333 - There is a remainder. We can't divide by 3. Use next prime number
55 ÷ 5 = 11 - No remainder. So 5 is one factor
11 ÷ 5 = 2.2 - There is a remainder. We can't divide by 5. Use next prime number
11 ÷ 7 = 1.5714 - This has a remainder. So 7 is not a factor.
11 ÷ 11 = 1 - No remainder. SO 11 is one factor
Now put it together: 2 x 3² x 5 x 11
Factor trees also help. Have a good day or night
IT depends on what you define as an operation
Answer:
1/3n-3<6
Step-by-step explanation:
One third of a number: 1/3
3 is subtracted from 1/3 of a number n: 1/3n -3
Result is less than 6: less is represented with the symbol <. So, the result of the expression 1/3n-3 is less (<) than 6.
The final expression:
1/3n-3<6
Feel free to ask for more if needed or if you did not understand something.
Answer:
we have
Cos (a+b)=Cos aCosb-SinaSinb
for
Cos (a+a)=Cos aCosa-SinaSina=<u>Cos²a-Sin²a</u>
is a required answer.
The answer is
LA to Page: 611 mi
Page to Denver: 406 mi
Total distance from LA to Denver is T.
The distance LA to Page is x
The distance Page to Denver is y.
T = x + y
T = 1017
______
x + y = 1017
<span>The distance from L.A. to Page (x) is 205 miles greater than the distance from Page to Denver (y):
x = y + 205
The system of two equations:
</span>x + y = 1017
x = y + 205
Substitute x from the second equation into the first one:
y + 205 + y = 1017
2y + 205 = 1017
2y = 1017 - 205
2y = 812
y = 812 / 2
y = 406 mi (Page to Denver)
x = y + 205 = 406 + 205 = 611 mi (LA to Page)
