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3 years ago

What is the domain of this exponential function? y=2x

Mathematics

1 answer:

trasher [3.6K]3 years ago

8 0

Answer:

x∈R

Step-by-step explanation:

$y=2^{x}$

2>0

The domain is all real numbers.

x∈R

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Which angle has a sine of -1/2 and a cosine of -√3/2

Sergeeva-Olga [200]

$\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)$

$\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}$

$\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}$

$x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}$

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3 years ago

Simplify to the lowest terms

Black_prince [1.1K]

Answer:

1/2

Step-by-step explanation:

divide the numerator & denominator by 4

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3 years ago

Hey factory could produce 84 toy robots in one day. The purchasing equipment. Now they can produce 105 robots in one day. What i

Finger [1]

Answer:

The answer to the question is

25 % increase in production rate

Step-by-step explanation:

To solve the question, we note that

Initial number of products = 84 toy robots per day

Present production rate = 105 robots per day

The percentage increase is given by the increase in production rate divided by the original production rate multiplied by 100

Where increase in production rate = 105 - 84 = 21

Percentage increase = 21/84 ×100 = 25 % increase

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3 years ago

How many terms are in the arithmetic sequence 7, 0, −7, . . . , −175?

motikmotik

Sent a picture of the solution to the problem (s). Used the hint and substituted all the know quantities.

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Answer:

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