Answer: 3) 0
Step-by-step explanation:
because x+4 is a factor of p(x), there is no remainder
Answer:
Mrs. Schnuda can seal 70 boxes.
Step-by-step explanation:
She has 3 rolls of tape, 35 meters each. We multiply to find how many meters she has in total.
3 X 35 = 105
We then divide 1.5 from 105, since that's how much she'll use for each box.
105 ÷ 1.5 = 70
70 boxes in total.
Answer:
X = 6
Step-by-step explanation:
4x - 2 = 3x + 4 /subtract -3x
x - 2 = 4 /add 2
x = 6
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Take 5 1/2 and put it over 100. This is a complex fraction which means 5 1/2 divided by 100. Convert 5 1/2 to an improper fraction, 11/2, and multiply it by the reciprocal of 100, 1/100. The answer is 11/200.
