Answer:
12 beats per minute after 30minutes
Step-by-step explanation:
Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.
8 / 2 = 4 beats per minute after 10 minutes
Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes
8 + 4 = 12 beats per minute after 30minutes
Answer: OPTION D
Step-by-step explanation:
To complete the table, you need to substitute the values of "x" given in the table into the quadratic equation
to obtain the corresponding value of "y".
Then:
When
:
When
:
When
:
When
:
The max of Lauren's age --> the minimum of the others' ages, 1, 2 & 3
4*avg = 4*9 = 36
36 - (1+2+3) = 30
Lauren is 30 yrs of age, or younger.
Answer:
49
Step-by-step explanation:
Every time you multiply both sides of a rectangle by a number x, its area if multiplied by
.
In our example:
Area of a rectangle = width . length
width = 4
length = 7
= 4 . 7 = 28
When you multiply both sides by 7:
width = 4 . 7 = 28
length = 7 . 7 = 49
= 28 . 49
= 1372
/
= 1372 / 28 = 49 = 
Both sides multiplied by 7 => Area multiplied by 
Got it?
;-)
Answer:
y(s) = sin t + 2 cost
Step-by-step explanation:
given,
y'' + y = 1, y(0) = 2 and y'(0) = 0
applying Laplace transformation both side
s²y(s) - s y(o)- y'(0) + y(s) = L{1}
s²y(s) - 2 s + y(s) = L{1}
y(s)(s² + 1 ) = L{1} + 2 s

y(s) = sin t + 2 cost
hence, the required solution of Laplace will be
y(s) = sin t + 2 cost