A) The longer you spend on homework the higher the test scores.
b)64%
c) That is the base percentage you would get with 0 hrs of hw
For starters,
Consider the th partial sum, denoted by :
Multiply both sides by :
Subtract from this:
Solve for :
Now as , the exponential term will converge to 0, since if . This leaves us with
Let's simplify step-by-step.<span><span><span><span><span>7x</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>−3</span><span>=<span><span><span><span><span><span><span>7x</span>+</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>+</span>−3</span></span>Combine Like Terms:<span>=<span><span><span><span><span>7x</span>+<span>−<span>6y</span></span></span>+<span>3x</span></span>+<span>3y</span></span>+<span>−3</span></span></span><span>=<span><span><span>(<span><span>7x</span>+<span>3x</span></span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>3y</span></span>)</span></span>+<span>(<span>−3</span>)</span></span></span><span>=<span><span><span>10x</span>+<span>−<span>3y</span></span></span>+<span>−3</span></span></span><u>Answer:</u><span>=<span><span><span>10x</span>−<span>3y</span></span>−<span>3</span></span></span>
Answer:
52.7 g
Step-by-step explanation:
We are given;
- Initial mass of the element is 310 g
- Rate of decay 8.9% per minute
- Time for the decay 19 minutes
We are required to determine the amount of the element that will remain after 19 minutes.
We can use the formula;
New mass = Original mass × (1-r)^n
Where n is the time taken and r is the rate of decay.
Therefore;
Remaining mass = 310 g × (1-0.089)^19
= 52.748 g
= 52.7 g (to the nearest 10th)
Thus, the mass that will remain after 9 minutes will be 52.7 g