steven

Biku purchased a computer part for $20 and he later received a refund of $5. If he sold the part for $25, what fraction of the profit was the refund?

|x + y| = |x| + |y|

If the above statement is true, which of the following must also be true?

I. If x > 0 , y ≥ 0

II. If x < 0, y ≤ 0

III. y = 0

While packing for a vacation, Ellie notices the ratio of shirts to pants she packed is 5 : 2. She wants the ratio of shirts to pants to be 7 : 5 and to pack a total of 24 shirts and pants. If she currently has 21 shirts and pants packed, what does she need to change to achieve the desired ratio?

A. add 3 pants and add 2 shirts

B. add 3 pants and keep the shirts the same

C. add 4 pants and keep the shirts the same

D. add 4 pants and remove 1 shirt

A newspaper has N sheets of paper, where N is a multiple of 4. N/4 sheets of paper are

each folded down the middle and nested inside each other and the pages are numbered 1, 2, ... N.

If N = 8, then what sheet would page 3 be on?

Please show how you got the answer too. Thank you!

How many revolutions does a CD make when it accelerates from rest to 7598 rev/min in 5.44 seconds?

ax + 3y = 12

5x + 4y = 18

If x and y are variables and a is a constant, what value of a would make this system have infinite solutions?

Please show how you got the answer too, thank you!

A block of mass 0.25 kg is placed against a horizontal spring of constant k = 5000 N/m and is pushed until the spring is compressed by 0.1m. If the spring is then released, how far along a wood table will the block travel before coming to rest? The coefficient of friction is 0.3.

Two functions f and g are such that f(x)= 1 + 2x and g(f(x)) = x + 3. What is the value of g(5)?

Bullwinkle (mass 700kg) parachutes out of a helicopter from a height of 3.8 km and he hits the ground with a velocity of 70m/s. Assume that he is stationary before the jump.

a) How much work was done on Bullwinkle?

b) Draw a FBD of Bullwinkle.

c) How much work was done by gravity on Bullwinkle?

d) How much work was done by air resistance on Bullwinkle?

e) If Bullwinkle landed in snow and created a hole 4.8m deep, what was the magnitude of force exerted on him by the snow?

Evan drives a golf ball with an initial velocity of 56 meters per second at an angle of 12° down a flat driving range. How far away will the golf ball land?

In a pinball machine, the launching spring with a spring constant of 30 N/m is compressed 0.15m. How fast will it launch a 0.20kg pinball?

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What is the acceleration of the following system? What is the tension in each string?

Three instructors are comparing scores on their finals; each had 99 students. In class A, one student scored

1 point, another scored 99 points, and the rest scored 50 points. In class B, 49 students scored 1, one student

scored 50, and 49 students scored 99. In class C, one student scored 1, another scored 2, another 3, and so

forth, all the way through 99.

a) Which class had the biggest average? Smallest average?

b) Which class had the biggest SD? Smallest SD?

c) Which class had the biggest range? Smallest range?

some acrobats use frictionless pulley systems similar to Atwood machines. If two acrobats, 50kg and 60kg, are connected by a similar pulley, what is the tension of the rope between them as the two start to move?

A 60kg wood carving slides at an angle of 60º with a force of 5N (meaning it is pushing). What is the normal force? If the carving starts at rest, how long will it take for it to be moved 3 meters?

If possible, please explain how to do this problem because it's a bit confusing for me to understand. Thank you!

A helicopter is carrying a box up that weighs 70kg and is accelerating upwards at 2.3m/s^2 with a rope attached to the box that is 5m long. Assuming air resistance is not negligible, what forces are acting upon the box?

A paintball is fired 120m away from a target and when it is shot, it is 75cm below the target. What is the speed of the paintball when it leaves the barrel?

I got 24.5m/s but I am not sure if that is the right answer.

Thanks.

Two students are fighting over who gets to have the bathroom pass. The pass has a mass of 0.18kg. One student pulls it with a force of 94 N and the other student pulls in the opposite direction with a force of 73 N.

1. Find the net force

2. Calculate the acceleration of the pass

I’m currently in my Junior year of high school, and for my freshman and sophmore years I’ve had a 3.6 and 3.7 GPA out of 4.0. However, this year is my first year that I’ve done extracurricular activities, specifically Powerlifting, Computer Science club, and Robotics.

I haven't taken the SAT / ACT yet but today but the highest I've gotten on a practice was around 1250. I hope to get this up to 1400+ when I take the actual SAT.

Also, I was elected Computer Science club President recently and I have plans on starting up a startup and being either a CEO or CTO of the company.

Given this info, how likely would it be for me to get into an Ivy League college? If not, would I be able to get a full ride scholarship?

If the sum of the roots of the equation 2x^2 + bx + 16 = 0 is -3, what is the value of b?