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te of M is 16. I can not figure out, if a is 1 or unknown.

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:) I was wondering in the equation z^4 = m/(square root of 2) + (m/(square root of 2)) i
with the answer saying the second line is z = m cis (pi/4)
where they got the 4 from. did they get it from z^4 or something? thanks!

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y: When income is $1000, the expenditure on consumer goods is $800. Whenever income increases by 100, the expenditure on consumer goods increases by 80.
(a) find the slope of the consumption function
(b) find the equation of the consumption function
(c) find the consumption when income is $7000
Question 8 options:
i)
(a) m = 4/5
(b) c(I) = (4/5) I + 80
(c) 5680
ii)
(a) m = 4/5
(b) c(I) = (4/5) I + 880
(c) 5660
iii)
(a) m = -4/5
(b) c(I) = -(4/5) I + 800
(c) 600
iv)
(a) m = 4/5
(b) c(I) = (4/5) I + 7000
(c) 7600
v)
(a) m = 4/5
(b) c(I) = (4/5) I + 0
(c) 5600

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e left expression become an absolute value

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hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
Question 1:
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
Question 2:
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
Question 3:
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
Question 4:
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

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etically engineered killer hounds patrolling the grounds of the FORTRESS OF MISERY. Fortunately, Captain Proton has a piece of bone to whittle into a flute (assume this is a tube open at both ends). A sound with a frequency of 23015 Hz will disable the Killer hounds. Assuming a speed of sound of 334 m/s, how long must the flute be so that its fundamental frequency will disable the Killer Hounds? (3 points)
2. The delivery entrance of the FORTRESS OF MISERY is guarded by a Destructo-Bot that is programmed not to respond to any sound less than 50 dB in relative intensity. Captain Proton will set off a small explosion 10.0 m from the Bot. How much power must the explosion’s sound carry in order to exceed 50 dB at the Bot’s position. Assume that I0 is 1.0*10-12¬¬ W/m¬2. Surface area of a sphere = 4πr2. (5 points)
that is due tonight

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tressed a bit about it, I am wondering if you could help me? I would be really glad and thankful!!
I am polish by the way so sorry about it, but here is the task:
2.81. Investigate whether there are values of k, m (k, me R) parameters for which the function f is differentiated in the set R. Find f '.
I attached an image also, I would be really thankful for any kind of help! Jeśli means 'If'

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3.0 m and then returned to its original position. How much work did gravity do on the bucket during this process? Thank you

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11. For all b,m,n are natural, the sets A where n is an integer such that n is congruent to ...

and B where m is an integer such that m is congruent to 1 modulo b have the same cardinality. I need help with the process of finding a function to define the two sets to determine the bijection.

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n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is:
Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m).
Another question I was having trouble with was this (I got part A but not parts B or C):
Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).

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ons of acidified potassium dichromate from a stock solution of 0.010M K2Cr2O7in 2.0 M H2SO4with the concentrations
0.0008 M,
0.0016 M,
0.0024M,
0.0032 M and
0.0040 M.
How do I go about calculating this?

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ow. I'm not sure how to calculate this.
Prepare five 25mL solutions of acidified potassium dichromate from a stock solution of 0.010M K2Cr2O7in 2.0 M H2SO4 with the concentrations
0.0008 M,
0.0016 M,
0.0024M,
0.0032 M
and 0.0040 M.

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is filled, the ferris wheel moves around so that the next seat can be filled. Once all seats are filled, the ride begins and lasts for 6 minutes. The height, h m, of Isobel’s seat above the ground t seconds after the ride has begun is given by h=19 sin〖(15t-60)〗+20.5
I dont know how to determine whether to utilise radians or degrees when solving elements of this problem

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18.. A uniform cylinder of mass M and radius R is initially at rest on a rough horizontal surface. A ...

ght string is wrapped around the cylinder and is pulled straight up with a force T whose magnitude is 0.8 Mg. As a result, the cylinder slips and accelerates horizontally. The moment of
inertia of the cylinder is I = 12 MR2 and the coefficient of kinetic friction is 0.4.
a. On the diagram above show all the forces applied on the cylinder. b. Determine the linear acceleration a of the center of the cylinder. c. Determine the angular acceleration α of the cylinder.
d. Explain the difference in results of linear acceleration a and αR.

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s a blood transfusion through a blood bag. If their venous pressure is 6 mm Hg, how high would the bag need to be held above their arm to facilitate the transfusion?
(g = 9.8 m s-2, Density of blood = 1059 kg m-3, density of mercury = 13,600 kg m-3)

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20.I was wondering if you could help me step up my chem problems, i'm not sure how to begin ...

estion 1: Draven collected a 1ml sample from a local river. Draven added 99 ml of water to the sample. Draven then took 5 ml of the diluted sample, and determined the 5 ml sample to contained 10 mg of sodium chloride. what is the concentration of sodium chloride in the river?
question 2: how many grams of H2 could be produced when 13 g of H202 decompose?
question 3: how many molecules of carbon dioxide could be produced when 25 ml of a 0.8 M ethanol, c2h60, combusts with 5.18X10^23 molecules of oxygen? the unbalanced equation for the combustion of ethanol is given below:
2ch6O+302-> c02+h20

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics