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3 years ago

Simplify: (c+4/c^2+5x+6)/(3c^2+12c/2c^2+5c-3)

1 answer:

6 0

(c+4/c^2+5c+6)/(3c^2+12c/2c^2+5c-3)= (c+4)/(c^2+5c+6) Multiplied by (2c^2+5c-3)/3c^2+12c= 2c^3+5c^2-3c+8c^2+20c-12/3c^4+12c^3+15c^3+60c^2+18c^2+72= 2c^3+13c^2+17c-12/3c^4+27c^3+78c^2+72c

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C and D are mutually exclusive events. Find P(C or D).<br> P(C)= 3/7= P(D)= 4/7<br> P(C or D)

IgorLugansk [536]

Answer:

$P(C\ or\ D) = 1$

Step-by-step explanation:

Given

$P(C) = \frac{3}{7}$

$P(D) = \frac{4}{7}$

Required

$P(C\ or\ D)$

Since the events are mutually exclusive, then:

$P(C\ or\ D) = P(C) + P(D)$

So, we have:

$P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}$

Take LCM

$P(C\ or\ D) = \frac{3+4}{7}$

$P(C\ or\ D) = \frac{7}{7}$

$P(C\ or\ D) = 1$

3 0

3 years ago

Is 5400 perfect square?if not how it should cames 5400 by division

kap26 [50]

Answer:

73.4846922835 = 73.5 and no it is not a perfect square 5400/100 = 54

8 0

3 years ago

When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a

kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

$\frac{1}{10} \times 100 = 10$

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0

3 years ago

In the sequence 3 8 13 18 what term of the series is the number 2218

77julia77 [94]

By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have x_{n} = a+ (n-1)d
Here,
a=3
x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218

7 0

3 years ago

The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?

Neko [114]

Answer:

Step-by-step explanation:

for every 4 pencils there is 1 eraser. 4/1=208/x

4x=208

x=52

7 0

3 years ago