Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is 
We know that for any vector 'r'
the magnitude is given by

Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals


Answer:
Park is <u>5 miles</u> from Billy's home.
Step-by-step explanation:
Given:
Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.
Now, to find the distance from park to Billy,s home.
Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.
So, the time = (9.30 - 9.00) = 30 minutes

Speed = 10 miles per hour.
Now, to get the distance from park to Billy's home we put formula:



Therefore, park is 5 miles from Billy's home.
-6x + 1 > -23 <=>
-6x > -24 <=>
x < 4
The formula for volume is length times width times height
The length is 5
The width is 2.4
The height is 8
2.4 times 8 times 5=96 cubic feet
Answer:
5/4
Step-by-step explanation:
5/6+5/12
or, {(5×2)+5}/12
or, 15/12 = 5/4