Answer:
you will have traveled 363 miles
Step-by-step explanation:
7 times 49
49
7
____
363
Answer:
x=7
Step-by-step explanation:
3(2x - 5) = 9(10 - x)
6x-15=90-9x
6x+9x=90+15
15x=105
x=7
Answer:
58 seconds
Step-by-step explanation:
Given:
Initial mass of water = 1 kg
Specific energy = 2297 kJ/kg
Heat supplied by the stove = 20 kJ/s
Now,
Half water is to be vaporized i.e 0.5 kg
Thus, heat required for vaporizing 0.5 kg water = mass × specific heat
or
heat required for vaporizing 0.5 kg water = 0.5 × 2297 = 1148.5 kJ
Therefore,
time taken to provide the required heat = 
or
time taken to provide the required heat = 
or
time taken to provide the required heat = 57.425 ≈ 58 seconds
Answer:
x = ⅓ acos(y/7) + π/18, [-7, 7/2]
Step-by-step explanation:
y = 7 cos(3x − π/6)
Solving for x:
y/7 = cos(3x − π/6)
acos(y/7) = 3x − π/6
acos(y/7) + π/6 = 3x
x = ⅓ acos(y/7) + π/18
The domain of x is the same as the range of y.
When x = π/6:
y = 7 cos(3π/6 − π/6)
y = 7 cos(π/3)
y = 7/2
When x = 7π/18:
y = 7 cos(21π/18 − π/6)
y = 7 cos(π)
y = -7
So the domain of x as a function of y is [-7, 7/2].
The answer is 0.3333. Hope this helps!