cellular

A car with a mass of 1400 kg is westbound at 50 km/h. It collides at an intersection with a northbound truck having a mass of 2000 kg and travelling at 40 km/h. What is the initial common velocity of the car and truck immediately after the collision if they have an inelastic collision?

please include detail work. thank you.

if the 60 kg player is running toward at 7.0 m/s when she makes contact with the dummy. what is the player's velocity at the end of the 1.20 s impact?

chart of net force and time as follow:

net force(N) time(s)

0 0

400 0.1

0 0.2

-800 0.8

0 1.2

please include detail work. thank you

if the frequency of a rotation of an 8-sided rotating mirror is 1.00 x 10^3 Hz and the distance between it and a fixed concave mirror is 17.5 km, calculate the speed of light.

please include detail work. thank you.

if the frequency of rotation of an 8-sided rotating mirror is 1.00 x 10^3 Hz and the distance between it and a fixed concave mirror is 17.5 km, calculate the speed of light.

please include detail calculation. thank you.

use newton's second law to explain a positive particle with initial velocity movement in the same direction of the electric field and opposite direction of the electric field.

please include detail explanation. thank you.

the equation tan x = 2 has solution over the domain -360 degree < x < 360 degree. choose the appropriate number of solutions from the first column and possible reason for the number of solutions from the second column to form a two-digit answer.

1st. column 2nd. column

1:1 5. it has y-intercepts

2:2 6. its period is 180 degree

3:3 7. it would be undefined

4:4 8. it would be a horizontal

line

please show detail work.thank you.

a certain strain of bacteria die in the presence of sunlight. the number of bacteria , b , remaining after x number of hours of exposure to sunlight is determined by the function b(x)=(- square root of 300x ) + 200.select the range of the function.

a. 0 <= b(x) ,= 200 , b(x) is the element of W

b. 0 <= x <=200 , x is the element of W

c. 0 <= b(x) <= 200 , b(x) is the element of IR

d. 0<= x <= 200 , x is the element of IR

which is it? please include detail work. thank you

when comparing the sound measure in decibels, a normal conversation between two people measured 60dB while the threshold of pain from loud noise is often considered to be 130dB. the formula used to calculate sound in decibels is beta=10 log(I/I_o)where beta is the db reading.I is the intensity of the sound and I_o=10^12 w/m^2.

a. determine how many times louder the intensity of the threshold of pain is compared to the conversation.

b. if the conversation intensity was tripled, determine what the new decibel level would be.

please include detail calculation. thank you

if you begin with y=2^x and transform it to y=3(2)^[4(x-1)] +5,the horizontal and vertical stretch factors are

a.horizontal stretch factor(hsf) of 1/4 and vertical stretch factor(vsf) of 3

b.hsf of 1/3 and vsf 4

c.hsf of 1/4 and vsf of 2

d.hsf of1/2 and vsf of 4.

which is it?please include detail calculation.thank you.

hsf = horizontal stretch factor

vsf = vertical stretch factor

given f(x)=2x+1 and g(x)=4x^2-1

a. determine (f/g)(x)

b. graph (f/g)(x)

c. determine the domain and range of

(f/g)(x)

please provide detail work.

the constant term in the expansion of ((3/x^2)-(4x^3))^10 is

a. 6th.

b. 4th.

c. 5th.

d. does not exist

which is it?please include detail work. thank you.

if you are given f(x) = square root of (x+3) and g(x)=1-x^2, then the domain of h(x)=f(x)g(x) is

a.x>= - 3

b.x>= square root of 3

c.x>= 0

d.x E R

which is it? please include detail work. thank you.

assume you are given the function f(x) = 4(x-1)

a. determine the equation of the inverse of this function.

b.sketch the graph of the function and its inverse on the grid.

c. determine the invariant point. explain where invariant point will always occur in inverse relations and explain why?

please include detail. thank you.

given the tirg equation 4 csc theta - 3 = 5 - csc theta

a. solve for theta to the nearest hundredth , given the restriction 0<=theta<=2pi

b. solve for theta to the nearest degree, given the restriction -270 degree<= theta<= 90 degree

c. state the general solution using radians d.state the general solution using degree

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the solutions to a trigonometric equation in the domain 0<theta<2pi are theta=pi/3 and theta = 5pi/3. an equation that has these solutions is

a. 3 sin theta - 1 = 0

b. 3 cos theta - 5 = 0

c. 2 sin theta - 1 = 0

d. 2 cos theta - 1 = 0

which is it? please include detail work. thank you

the point P(4,-1) lies on the terminal arm of an angle in standard position. the measure of sin theta to the nearest tenth is

a. 0.24

b. 0.97

c. -0.97

d. -0.24

which is it? please include detail work. thank you

which of the following characteristics does the following function have? f(x) = (3x^2 - 3x - 6)/(x + 2)

a. vertical asymptote and point of discontinuity

b. horizontal asymptote

c. vertical asymptote

d. point of discontinuity

which is it? please provide detail work. thank you.

A hand of 5 cards is dealt from a standard deck of cards. The number of ways that the hand could be made up 2 kings, 2 queens and 1 ace is

a) 576

b) 4

c) 144

d) 729

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if y=f(x) and f(x) = 2x+5 then the graph of y = f(x) and y=square root of (x) will have two common points. one common point is the x-intercept. determine the other common point.

please include detail calculation. thank you.