Please help me with this 20 points

A  4/605

Step-by-step explanation:

mathematics = 11 letters

P(m) = number of m's/total = 2/11

we replace it so we have  mathematics = 11 letters

P(s) = number of s's/total = 1/11

not replacing it

we replace it so we have  mathematic = 10 letters

P(vowel) = number of vowel/total = 4/10 = 2/5

P(m, replace,s, no replace, vowel) = 2/11*  1/11 * 2/5 =  4/605

A

Step-by-step explanation:

MM AA TT H E I C S

Total = 11

2/11 × 1/11 × 4/10

= 4/605

180

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.