Answer:
17
Step-by-step explanation:
I would just solve them individually for 3 and then add them together. f(x)=6(3)+3 = 21 and g(x)= 3-7= -4
(f+g)(3) = 21-4= 17
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Answer:
0.12
Step-by-step explanation:
Suppose there are 100 kids
60% have fever, so <em><u>what is 60% of 100?</u></em>
We convert percentage to decimal and multiply:
60/100 = 0.6
0.6 * 100 = 60 have fever
20% of the people having fever (60 of them) have sore throats, so,
<u><em>What is 20% of 60?</em></u>
We convert percentage to decimal and multiply:
20/100 = 0.2
0.2 * 60 = 12 have sore throat
So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:
the question is a beat confusing please make it simplify
