Answer:
Step-by-step explanation:
Given
Required
Get polar equivalent
Polar coordinate and rectangular coordinate are related in such a way that:
and
So, substitute and in
This can be rewritten as:
Reorder
Multiply both sides by 2
Reorder
In trigonometry:
So, the expression becomes
Hence, the equivalent of is
Answer: 7/19
Step-by-step explanation:
Given that:
Probability of drawing 2 white cards without replacement = 14 / 95
Probability of drawing one white card = 2/5
Probability of drawing a second white card Given the first card is white will be :
P(2 white cards without replacement) = p(one white card) * p(second white card)
14 /95 = 2/5 * p
P = 14/95 ÷ 2/5
P= 14/95 * 5/2
P = 70 / 190
P = 7/ 19
Answer:
x = 9
Step-by-step explanation:
To solve these problems, you first set up an equation representing the information given.
6x = x² - 27
This turns into a quadratic equation which you need to factor out.
0 = x² - 6x - 27
You want to choose two numbers that multiply to -27, and add up to -6
0 = (x - 9)(x + 3)
If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.
x = 9, -3
Since it asks for the positive solution only, the answer is x = 9.
I hope this helps!
Try the app socratic or photomath!!
Well town A has an annual growth that stays constant. town B has a 10% growth which is exponential because it takes a percent of the whole number and adds it so if you have 145 residents in 2006 in say three years in 2009. in 2007 its population would be 159.5> rounded up because you can't have half a person it would be 160. in 2008 it would be 176 and finally in 2009 it would be 194. that's a growth of 49 in three years where as town a grows only ten people per year. which means town a would only grow by 30 people in three years and have a population of 175.