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marusya05 [52]
4 years ago
13

After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred? A) 15, 35, 44

B) 35, 44, 50 C) 44, 50, 55 D) 55, 63, 69
Mathematics
1 answer:
Bas_tet [7]4 years ago
3 0

Answer:

all the numbers in set a would all round to 0

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In a certain​ chemical, the ratio of zinc to copper is 3 to 16 . A jar of the chemical contains 416 grams of copper. How many gr
Anna71 [15]

Answer:

the number of grams of zinc contain is 78

Step-by-step explanation:

The computation of the number of grams of zinc contain is shown below:

Given that the ratio of zinc to copper is 3:16

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So, the number of zinc grams would be

here we assume the zinc grams be x

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16x = 416 × 3

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3 years ago
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The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretc
Nady [450]
This is the missing equation that models the hieght and is misssing in the question:

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2) Divide by 7: (h/7) = <span>cos(π/3 t)
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3) Inverse function: arc cos (h/7) = π/3 t

4) t = 3 arccos(h/7) / π ← answer of part (a)



b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.

<span>1) h = 1 cm ⇒ t = 3 arccos(1/7) / π</span>

t = 1.36 s← answer


2) h = 3 cm ⇒ t = 3arccos (3/7) / π =  1.08s← answer


3) h = 5 cm ⇒ 3arccos (5/7) / π = 0.74 s← answer



c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time.

Use the periodicity property of the function.

The periodicity of <span>cos(π/3 t) is 6.
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</span><span>So, the second times are:
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</span><span>1) h = 1 cm, t = 6 + 0.45 s = 6.45 s ← answer
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2) h = 3 cm ⇒ 6 + 1.08 s = 7.08 s← answer


3) h = 5 cm ⇒ t = 6 + 0.74 s = 6.74 s ← answer



5 0
3 years ago
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