MATHEMATICS COLLEGE

Find the rectangular coordinates of the point ( -3, 1/2 π)

Answers

Answer 1

Answer:

Answer:

$x = -3 cos ((\pi)/(2))= 0$

$y = -3 sin ((\pi)/(2))= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

Step-by-step explanation:

We have the following point given $P = (-3, (\pi)/(2))$ and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

$x = r cos \theta$

$y = r sin \theta$

For this case we have that:

$r = -3$

And:

$\theta = (\pi)/(2)$

Replacing we got:

$x = -3 cos ((\pi)/(2))= 0$

$y = -3 sin ((\pi)/(2))= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

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An automobile purchased for 22,000 is worth 2500 after 5 yrs. Assuming that the cars value deprecited steadily from year to year, what was it worth at the end of third year

Answers

Original price = 22000
New price = 2500
Amount depreciated in 5 years = 22000 - 2500
=19500
Amount depreciated in 1 year = 19500/5
= 3900
Worth after 3 years = 22000 - 3(3900)
= 10300

Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensi- tivity) and a 94% chance of correctly indicating that the disease is absent if the person really does not have the disease (i.e., 94% specificity). Suppose 10% of the popu- lation has the disease. (a) What is the probability that a randomly chosen per- son will test positive

Answers

Answer:

14.6% probability that a randomly chosen person will test positive

Step-by-step explanation:

We have these following probabilities:

10% probability that a randomly selected person has the disease.

If a person has the disease, 92% probability of testing positive.

100-10 = 90% probability that a person does not have the disease.

If a person does not have the disease, 100-94 = 6% probability of testing positive.

What is the probability that a randomly chosen person will test positive

92% of 10% or 6% of 90%.

Then

p = 0.92*0.1 + 0.06*0.9 = 0.146

14.6% probability that a randomly chosen person will test positive

They taught me like i was supposed to learn this in kindergarten so im posting it here

Answers

Answer:

rewrite as improper fraction

then rewrite as multiplication

next multiply and put a non simplified answer

finally put a simplified answer including the correct sign

Step-by-step explanation:

You got this!

Review the table of values for function f(x).A 2-column table with 7 rows. Column 1 is labeled x with entries negative 2, negative 1, negative one-half, 0, one-half, 1, 2. Column 2 is labeled f (x) with entries 8, 5 and one-half, 4, one-half, negative 1, negative 2, negative 7.

Which number is the value of f–1(–2)?

–8
–7
StartFraction 1 Over 8 EndFraction
1?

Answers

Answer:

D. 1

Step-by-step explanation:

Answer:

Answer is D. 1

Step-by-step explanation:

The answer is D on Edge. (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.

Edge Tip: Answers do not mix or change.

What is 23 squared ?

Answers

The value of the 23² number will be 529.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that there is a number 23 and is squared. The value of the 23² will be calculated as:-

E = 23²

E = 23 x 23

E = 529

Therefore, the value of the 23² number will be equal to 529.

To know more about an expression follow

brainly.com/question/51920

#SPJ5

what is 23 squared ? :

23^2 is 529.

Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?

Answers

We have been given that Paige can ride one half of a mile in 1/30 th of an hour. And we have to found the distance traveled in 1 hour if she continues to ride at the same pace.

Let d be the distance traveled in 1 hour.

In 1/30 th of an hour distance traveled is 0.5 mile

Hence, in 1 hour the distance traveled is given by

$d=(0.3)/(1/30) \n\nd=0.5* 30\n\nd=15$

Therefore, she will travel 15 miles.

She could travel 15 miles in an hour

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