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astraxan [27]
3 years ago
12

Write the polar coordinates (3, π) in rectangular form.

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

\bf (\stackrel{\stackrel{r}{\downarrow }}{3}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{\pi })~~\begin{cases}x=rcos(\theta )\\y=rsin(\pi )\end{cases}\implies [3cos(\pi )~~,~~3sin(\pi )]\\[2em][3(-1)~~,~~3(0)]\implies \boxed{(-3,0)}

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Please help me answer this I don't understand, I would really appreciate how you solved it as well.
abruzzese [7]

Answer: Parallel

Step-by-step explanation:

Set your -2x+10y=5 equation equal to y

-2x+10y=5

<u>      -10y -10y</u>

-2x=5-10y

<u>-5      -5       </u>

<u>-2x-5</u>+<u>-10y</u>

-10 -10 -10

-1/5x-1/2=y

Now you can put your equations into your graphing calculator and examine the lines made

(if you dont have one search up <em>online graphing calculator</em> on google or your app store)

5 0
3 years ago
let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t
AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Mean of 4 minutes

This means that m = 4, \mu = \frac{1}{4} = 0.25

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)

In which

P(X \leq 132) = 1 - e^{-0.25*132} = 1

P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469

P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0
3 years ago
Help ASAP Ill mark brainliest
Dimas [21]

Answer:

75 students

Step-by-step explanation:

500 students x 0.25 (25%) = 125 play baseball

500 students x 0.10 (10%) = 50 play soccer

125 who play baseball - 50 who play soccer  = 75 more students who play baseball

4 0
3 years ago
Read 2 more answers
Solve for t: F =2t+k/3g
pashok25 [27]

Answer:

F = \frac{2t + k}{3g} \\3Fg = 2t+k\\3Fg - k = 2t\\t = \frac{3Fg - k}{2}

5 0
3 years ago
Catherina conducted a survey of four school cafeterias to find the number of students who like burgers for lunch. The results of
tensa zangetsu [6.8K]

Answer:

ITs C

Step-by-step explanation: I said c because it is the number of students in the class and who likes burgers.

5 0
2 years ago
Read 2 more answers
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