A100-gallon fish tank fills at a rate of x gallons per minute. the function is f(x)=100/x. if the tank has been filling for 20 minutes, the total time to fill the tank is represented by the function f(x)=100/x+20.

a)it is a vertical stretch with a factor of 100 and a translation 5 units right

b)it is a vertical stretch with a factor of 95

c)it is a vertical stretch with a factor of 100 and a translation 5 units down

d)it is a vertical stretch with a factor of 500

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

idk

step-by-step explanation:

care to share were the trapezoid shown is ?