The equation to calculate percent error is # experimental - #theoretical / # theoretical * 100. The experimental value is 24 and the theoretical value is 42. Here's the calculation 24-42/42 * 100 = -42.86 rounded. Hope this helped :))
Answer:

The vertex form for a parabola is given by this expression:

By direct comparison we see that for this case:

And we know from the general expression that the vertex is:

So then the vertex for this case is:

Step-by-step explanation:
For this case we have the following function:

And we need to take in count that the vertex form for a parabola is given by this expression:

By direct comparison we see that for this case:

And we know from the general expression that the vertex is:

So then the vertex for this case is:

(71+x)/2=78
71+x=156
x=85
Th student needs to score a min of 85
Answer:
<em>the third one answer choice</em>
Step-by-step explanation:
<u><em>⊕ Place the triangle on a coordinate grid such that vertex A is at the origin, and segment AC lies on the x-axis.</em></u>
You will be able to see the length of segment AC and length of segment DE, and also will be able to see if AC║DE.
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,

. In other words, drawing a spade is independent of having drawn the heart first.
So the probability of drawing a heart, replacing it, then drawing a spade is

.