X+4=-4
3x-8=-8
Hope it helps.
Answer:
(a) -3
Step-by-step explanation:
The value of f(x) approaches 3cos(π) = -3 as x approaches π from either direction. The limit is -3.
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<em>Additional comment</em>
The fact that the function is defined to have a different value at x=π simply means there is a jump discontinuity there. The function is <em>not continuous</em>, because the limit and the function value differ. That doesn't detract from the fact that there is a limit, and it is -3.
<h2>
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>
Step-by-step explanation:
Angle with horizontal = 15°
Velocity of plane = 272 feet per second angle of ascent is 15 degrees
Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s
Vertical velocity = 70.40 ft/s
Vertical displacement = 14000 ft
We have
Vertical displacement = Vertical velocity x Time
14000 = 70.40 x Time
Time = 198.87 seconds = 3.31 minutes
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet
Hint : turn the whole number into a fraction too.
She will use more than 1/4 cup of sugar to make 1.5 batches of muffins. If one batch of muffins requires 1/4 cup of sugar, you can think of the amount of sugar needed being 1/4 cup per batch. That being said multiply 1.5 batches by 1/4 cup per batch to find cups of sugar.
(1.5 batches)x((1/4 cups)/(1 batch))=0.375 cups of sugar.
You can also think of it as if one batch takes 1/4 cup of sugar, half of a batch would take 1/8 cup of sugar. Since 1.5 batches is just 1 batch+1/2 batch, you can say the amount of sugar needed is 1/4 cup+1/8 cup which equals 3/8 cup sugar.
I hope this helps you.
