Answer:
k = 30,
Step-by-step explanation:
Since is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that
Then, replacing the derivatives in the equation we have:
Since is a positive function, we have that
.
Now, consider a general solution , then, by calculating the derivatives and replacing them in the equation, we get
We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is
To find the lateral surface area of a pyramid, you can find the area of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = . Then plugging in the values for c and b, we get a = = 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
ANSWER:
1. a. The Least Common Multiple (LCM) of the numbers (60 , 75) is 300 because 300 is the smallest number that all of the numbers divide into evenly.
1. b. The Least Common Multiple (LCM) of the numbers 36, 60, 72 is 360 because 360 is the smallest number that all of the numbers divide into evenly.
1. c. The Least Common Multiple (LCM) of the numbers 48, 64, 72, 96 is 576 because 576 is the smallest number that all of the numbers divide into evenly.
1. d. The Least Common Multiple (LCM) of the numbers 12, 16, 36, 40 is 720 because 720 is the smallest number that all of the numbers divide into evenly.
Answer:
-3X
Step-by-step explanation: