Isaac Newton developed a formula for the height, h, of an object at time t seconds with an initial upward velocity v0 and initial height h0. This formula is as follows: h=1/2gt^2+v0t+h0, where g is a constant denoting acceleration due to gravity. Ignoring the effects of air resistance, g=32(ft/sec^2) or g=9.8(m/sec^2). Knowing this, a rocket carrying fireworks is launched from a hill 50 feet above a lake with an initial velocity of 64 feet per second. The rocket will fall into the lake after exploding at its maximum height. When will the rocket be 90 feet in the air? Select all that apply. A. 0.78
B. 1.23
C. 3.22
D. 4.55
E. 4.67

correct answers below:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5

should have been evaluated with one odd value and one even value. the expressions have equivalent values when . when , the first expression has a value of 3 and the second

step-by-step explanation: