Answer:
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
We are given that its position s(t) at <em>t</em> = 0 is 10 and that its velocity v(t) at <em>t</em> = 0 is 16.
And we want to find its position at <em>t</em> = 8.
Velocity is the integral of the acceleration. Hence:
Find the velocity. Remember the constant of integration!
Since v(t) is 16 when <em>t</em> = 0:
Hence, our velocity is given by:
Position is the integral of the velocity. Hence:
Integrate:
s(t) is 10 when <em>t</em> = 10. Hence:
So, our position function is:
The position at <em>t</em> = 8 will be:
Answer:
j = -6
Step-by-step explanation:
j + 2j + 3j = -20 + (-16)
6j = -36
j = -6
Since:
ax(2x + y - 5) = 6x^2 +3xy - 15x,
we should factor X out of the second equation to find out the value of a:
6x^2 + 3xy - 15x =
x(6x + 3y - 15),
Now that we factored X out, to find a, we need to find the other common factor:
(6x + 3y - 15) / (2x + y - 5),
which is 3.
Hence the value of a is 3
Hi!
We will solve this using ratios, like this:
1 shelf holds 45 pounds
x shelves hold 270 pounds
______________________
x = (270*1)/45
x = 270/45
x = 6
6 shelves will be needed to hold 270 pounds of boxes.
Hope this helps!
Answer:
10/13 = 76.92%
Step-by-step explanation:
The question is missing some information because the underline is missing.
If we make table based on if the letter upper case (A) or lower case(a), and if the letter underlined(B) vs not underlined(b) the data will be:
A a
B 4 3 7
b 3 3 6
total 7 6
There are total of 13 letter there. The calculation will be:
P(A or B) = P(A) + P (B) - P(A and B) = (7 + 7 -4) / 13= 10/13 = 76.92%
