When Tara, a nurse, works on Saturdays, she is paid a $30 bonus plus $20 per hour worked.

What is the scale factor of the dilation?

VLD [36.1K]

The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
$scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}$

6 0

3 years ago

Read 2 more answers

PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LO

Mrrafil [7]

Answer:

We know that in the box there are:

4 twix

3 kit-kat

Then the total number of candy in the box is:

4 +3 = 7

a)

Here we want to find the probability that we draw two twix.

All the candy has the same probability of being drawn from the box.

So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:

p = 4/7

Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.

this time the probability is:

q = 3/6 = 1/2

The joint probability is the product of the individual probabilities, so here we have

P = p*q = (4/7)*(1/2) = 2/7

b) same reasoning than in the previous case:

For the first bar, the probability is:

p = 3/7

for the second bar, the probability is:

q = 2/6 = 1/3

The joint probability is:

P = p*q = (3/7)*(1/3) = 1/7

c) Suppose that first we draw a twix.

The probability we already know that is:

p = 4/7

Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)

q = 3/6

The joint probability is:

P = p*q = (4/7)*(3/6) = 2/7

But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:

Probability = 2*P = 2*2/7 = 4/7

3 0

3 years ago

What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2

Sergio039 [100]

Answer:

The value of the Rational expression when $x=-2$ is: $-7$