Your answer is
- Slope = -1.000/2.000 = -0.500
- x-intercept = 7/1 = 7.00000
- y-intercept = 7/2 = 3.50000
Step-by-step explanation:
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
Answer:
the answer is 300 + 20 + 7. let me know if this helps!
Ice cream = 4 1/2 gallons
milk = 6 3/10 gallons
ice cream: 4 1/2 = (4*2 + 1)/2 = 9/2
milk: 6 3/10 = (6*10 +3)/10 = 63/10
milk:ice cream proportion: a:b = c:d where a*d = b*c
a = 63/10 ; b = 9/2 ; c = x ; d = 1
63/10:9/2 = x:1
63/10 * 1 = 9/2 * x
63/10 = 9x/2
63/10 * 2 = 9x/2 * 2
126/10 = 9x
126/10 * 10 = 9x * 10
126 = 90x
126/90 = 90x/90
1 36/90 = x
x = 1 36/90 simplified to 1 13/30
1 13/30 gallons of milk will make 1 gallon of ice cream.
Answer:
The answer should be -1050 because -2100-0/2-0 would equal -1050.
