Help!! I got this wrong last time lol
1 answer:
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There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard
<h3>Further explanation</h3>The probability of an event is defined as the possibility of an event occurring against sample space.
Permutation is the number of ways to arrange objects.
Combination is the number of ways to select objects.
Let us tackle the problem.
This problem is similar to Pascal Triangle.
The Lord can move to the right or up in one way only.
We can put "1" in each box on the bottom and left to represent 1 possible movement.
To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.
This process is repeated for the next box as shown in Figure 2.
Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.
There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.
<h3>Learn more</h3>- Different Birthdays : brainly.com/question/7567074
- Dependent or Independent Events : brainly.com/question/12029535
- Mutually exclusive : brainly.com/question/3464581
Grade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation
Answer:
Step-by-step explanation:
I'll walk you through how to get the answers, but I'm not sure what your drop downs there are asking for. Maybe once you see the answers, you can figure out how to get the drop downs chosen correctly.
For your quadratic function, the h on the far left is how high the ball is after it is kicked and some amount of time has gone by, the -16t-squared part is the pull of gravity in feet per sec per sec, the 55t is the vertical velocity, and the 1 means that the ball was kicked when it was 1 foot off the ground. If we want to find when ("when" is a time measure) the ball was 45 feet off the ground, we sub in 45 for the h on the far left. Remember that that h is how high the ball is off the ground after it is kicked and some time has gone by. When we sub in 45 for that h, we will solve for t by factoring, to see at what times the ball is 45 feet from the ground.
It would be best to set up the equation and then plug it into the quadratic formula. Subbing in 45 for h gives us:
and we get everything on one side of the equals sign and set the quadratic equal to 0, giving us:
and then plug it into the quadratic formula with a = -16, b = 55, and c = -44:
and we'll simplify that a little at a time:
and
giving us 2 solutions:
and
Let's interpret these solutions. When the ball is kicked up into the air, it experiences parabolic travel. It goes up to a certain max height until gravity wins and the ball comes back down to the ground. Everything thrown up into the air experiences parabolic (or projectile) motion (because gravity affects everything!). So the ball with reach a max height of some number of feet (you could find that out if you needed to, but we'll let that one go for now since this isn't physics class!) before it comes back down. On its way up to that max height, it will pass the 45 foot mark, and when it's coming back down, it will pass it again. The time that it passes the 45 foot mark going up is 1.2669 seconds after it is kicked. Then it goes up as high as it's going to and comes back down, passing the 45 foot mark on the way back down, at 2.1705 seconds after it was kicked.
However you need to use that interpretation to pick the correct drop-down answer is up to you. Much luck with your quadratics!! They're very important; you haven't seen the last of them by far!