Lucy is walking on a hill while playing with a yo-yo. She completes a trick that takes 8 seconds, and over this period of time, the movement of the yo-yo can be represented by the expression: 1/32(x-4)^2-0.5 , , where "x" represents the number of seconds since she started the trick, and the expression represents the height of the yo-yo in meters, relative to her right hand. Over this period of time, the height of her right hand relative to sea level can be represented by the expression: -1/16(x-7)^2+12 Which of the following expressions best represents the height of the yo-yo relative to sea level over this period? * 1/32(x-11)^2+11.5
1/32(x-4)^2+1/16(x-7)^2-12.5
1/32(x-4)^2-1/16(x-7)^2+11.5

1/32(x-4)^2+1/16(x-7)^2-12.5

Step-by-step explanation:

I just took my integer test LOL.

i aced it

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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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