Answer:
Step-by-step explanation:
We have the exponential function of the form:
And it goes through the points (0, 13) and (3, 832).
Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:
Since anything to the zeroth power is 1, this yields:
So, we determined that the value of a is 13.
So, our function is now:
We will need to determine b. We know that y equals 832 when x is 3. Hence:
Divide both sides by 13:
Take the cube root of both sides:
Hence, our b value is 4.
Therefore, our entire equation is:
Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
<h3><u>Probability </u></h3>
Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
- 1 - 0.61 = 0.39
- 1 - 0.56 = 0.44
- 0.39 x 0.44 = X
- 0.1716 = X
Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
Learn more about probability in brainly.com/question/11234923
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Answer:
1/10
Step-by-step explanation:
add 2/5 and 1/2 then subtract from 1 whole to find the remainder
make it so they have the same denominator
2/5 = 4/10
1/2 = 5/10
4/10 + 5/10 = 9/10
1=10/10
10/10-9/10 = 1/10
so 1/10 of the students don't exercise at all
Answer:
it depends on what type of track, and who you are. so if its me and if its a typical quarter-mile track, it would be about a minute and 15 max. then multiply that by 20 and and yod have 25 minutes for 20 laps aka 5 miles
Step-by-step explanation:
