1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rainbow [258]
3 years ago
15

Which of the following is the exact value of cot 60°?

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

\sqrt{3 }  \div 3

You might be interested in
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
sergij07 [2.7K]

(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1

which reduces to

<em>c</em> / 2 (0 + 1) = 1   →   <em>c</em> = 2

(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678

5 0
2 years ago
Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr
vladimir1956 [14]

Answer:

31.5 square feet of counter top

Step-by-step explanation:

x represents the number of square feet

40x + 750 = 2010 subtract 750 from both sides

40x = 1260 divide both sides by 40

x = 31.5

3 0
2 years ago
How is this number read out loud 0.034
Svetllana [295]

Answer:

0.034

Step-by-step explanation:

thirty-four thousandths

or

zero point zero three four

5 0
2 years ago
Read 2 more answers
What is the value of z
never [62]

Answer:

30

Step-by-step explanation:

6 0
2 years ago
Find the intercepts of the graph of the equation y=4, y=-18, y=16, y=-7
Naya [18.7K]
All of these have no x-intercepts, since x-intercepts require y to be 0.  Their y-intercepts are:
(0, 4)
(0, -18)
(0, 16)
(0, -7)
respectively.
8 0
3 years ago
Other questions:
  • I don't understand #9
    14·1 answer
  • Two brothers shared the coins in a piggy bank. Alan received 140 coins. When he gave 48 coins to his brother, the number of his
    13·1 answer
  • A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 1,300 k
    5·1 answer
  • How do you know that
    5·1 answer
  • I don’t get how you do this please help
    10·1 answer
  • 3|2x+5|-9 = 0 solve the absolute value equation
    13·1 answer
  • Which choice shows +=7
    12·1 answer
  • Help help help AAAAAAA math is hard
    10·2 answers
  • Please help me with whole answer i give brainliest.
    11·1 answer
  • A desk is purchased for $277. Calculate its worth after depreciating for 5 years if its depreciation rate is 20% per year.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!