Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer:
D
Step-by-step explanation:
When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)
Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)
Given f(x) is shifted 3 units right,
the new function, g(x) becomes:
Therefore the answer is D in this case.
They have the same amount on week 5 ($70)
The Answer would be: $70
((Got this correct on my quiz, If you need it explained, It is below))
The easiest way to do this is to not pay attention to the y=x equation, because the solution is already in the information, this may confuse you and youre wasting time to solve it. Jess has $20 BEFORE saving and gets $10 WEEKLY, Raph has $40 BEFORE saving and gets $6 WEEKLY. In the chart/information, add the amount it takes to get Jess up to $40 then add $10 for every week on going until both their balances are equal. They match on the 5th week with $70 // If the information is different substitute the names/numbers/etc. Hope this helped you and anyone else looking for the answer!
Answer:
see explanation
Step-by-step explanation:
(1)
Given
= - 0.3
Since n is divided by 5 then use the inverse operation, multiplication.
Multiply both sides by 5 to clear the fraction
n = 5 × - 0.3 = - 1.5
(2)
Given
- 2n = 4 
← change to an improper fraction
- 2n = 
Since n is multiplied by - 2 then use the inverse operation, division.
Divide both sides by - 2
n = 
= - 
Answer:
A and D
Step-by-step explanation:
Either rotate the dilated circle 180° about point C or Translate the dilated circle so that it's centre is at point B so that we come to know that the circles are similar
