Answer:
The answer is 21 minutes
Step-by-step explanation:
We use the equation Xf = Xo + vt
1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])
2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]
3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]
- Child 1 final position =>
- Child 2 final position =>
4) Sum the equations and equate to 3
5) Substitute the values we already know
6) in 15 + 6 minutes they will be 3miles apart
7) In 21 minutes they will still be able to communicate with one another.
Answer:
k=10
Step-by-step explanation:
g(x)=2x^2+ kx+18
when x=-2
g(-2)=2 (-2)^2 -2k +18
Since when x is -2, y =6
6=2 (-2)^2 -2k +18
6=18+8-2k
2k=26-6
2k=20
k=10
To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number. Then count the number of place values to the right of this. That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.
The answer is 3.31 x 10^26 light years. ^ means to the power of.
Answer:
Mode: 5 and 8
Median: 6.5
Step-by-step explanation:
Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others) or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.
Median - The middle number. To start, order your numbers from least to greatest.
1, 3, 5, 5, 8, 8, 10, 14
You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2
8 + 5 = 13
13/ 2 = 6.5
Answer:
1444.4 m2
Step-by-step explanation:
Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2
Note .. You can Derive this
"Surface Area = 2 * 3.14 * (R*R + R*L)"
Using Calculus by differentiating its Volume
V = 3.14 * R * R * L
