Answer:
2, because 2 can only be divided by 1 and itself, and thats what a prime number is
Answer:
c≤8
Step-by-step explanation:
Let c be the number of copies that you can make
Each copy is 25 cents or .25
It must be less than or equal to 2 dollars
.25c ≤2.00
Divide each side by .25
.25c/.25 ≤ 2.00/.25
c≤8
Answer:
its the 3rd one
Step-by-step explanation:
Answer:
- T(n) = 3n² - 4
- -189 doesn't belong
Step-by-step explanation:
<u>Given sequence:</u>
<u>The first differences:</u>
<u>The second differences:</u>
<u>If the sequence is T(n) = an² + bn + c, we have:</u>
<u>Using the first and second differences work out the value of zero term:</u>
This gives us c = - 4
<u>Now we have:</u>
<u>The first term is T(1) = -1, substitute n = 1 and find the value of b:</u>
- 3(1²) + b*1 - 4 = - 1
- 3 + b - 4 = - 1
- b = 0
<u>The nth term is:</u>
<u>Now lets find if -189 belongs to this sequence:</u>
- - 189 = 3n² - 4
- 3n² = - 185
The left side is positive and the right side is negative so the answer is also negative
The new mixture has a total volume of 5 L + 9 L = 14 L.
70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is
3.5 L / 14 L = 0.25, or 25%
