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sashaice [31]
3 years ago
15

State the domain and range for y=cos(-2x+180)+3

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

Domain: All real numbers

Range: 2\le x\le4

Step-by-step explanation:

The given function is

y=\cos(-2x+180\degree)+3

The cosine function is continuous everywhere so the domain is all real numbers.

The range of the parent function y=\cos(x)

is -1\le x\le 1.

The given function has been shifted up 3 units.

The range is

-1+3\le x\le 1+3.

2\le x\le 4.

See graph

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1)volume of the  pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder

diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft

Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.


2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.

1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

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x=(184.8 barrels * $100) / 1 barrel=$18,480

Solution: ≈$18,480
6 0
3 years ago
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。☆✼★ ━━━━━━━━━━━━━━━  ☾

Cube root the value:

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7 0
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So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

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let's simplify:

\frac{3}{4} x=72

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Lyrx [107]

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