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3 years ago

13

In how many ways can carlos draw a blue or a green marble from a jar containing 30 blue marbles and 6 green marbles?

2 answers:

IceJOKER [234]3 years ago

7 0

Total outcome = 30 + 6 = 36 [ 'cause it's a simple case when observer takes 1 object at a time]

So, option C is your final answer.

Hope this helps!

Anton [14]3 years ago

6 0

D) 180 because there are 180 possible combinations for the marbles to be picked out

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So I need help with 1 over x minus 8 so like 1/x-8 this is a negative exponent

Trava [24]

Answer and Step-by-step explanation:

one divided by (in parentheses) x minus eight should look like this:

$\frac{1}{x-8}$

This is a graph of this expression.

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8 0

3 years ago

If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in s

Tema [17]

Answer: $-\dfrac{2\sqrt{14}}{9}$

Step-by-step explanation:

Given

$\cos a=\dfrac{5}{9}$

$a$ lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity $\sin ^2 x+\cos^2 x=1$ to find sine value

$\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}$

$\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}$

8 0

3 years ago

Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope

ziro4ka [17]

Given:

Expression is

$3r^2-2r+4$

To prove:

If r is any rational number, then $3r^2-2r+4$ is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

$3(r\times r)-2r+4$

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ are rational by Property 3.

$3r^2+(-2r)+4$ is rational by property 2.

So, $3r^2-2r+4$ is rational.

Hence proved.

6 0

3 years ago

Five the equation of line that is perpendicular to f(x)=-2x+1 that goes through point (0,5)

Alinara [238K]

Answer:

y = $\frac{1}{2}$ x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - 2x + 1 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = $\frac{1}{2}$ , then

y = $\frac{1}{2}$ x + c

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = $\frac{1}{2}$ x + 5 ← equation of perpendicular line

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2 years ago

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charle [14.2K]

Answer:

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Step-by-step explanation:

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3 years ago