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The critical angle among the two materials is 51. Suppose all angles to be exact when the angle of incidence is 30, find out the angle of refraction? (Let consider that light can travel to the inter
Find quadratic equation in standard form which explains net financial position as the function of months. In which month would net position first become positive?
When the combination is joined to a 50.6 Hz, 1115 V line, and when the voltage across the lamp is to be 24.5 V, determine the current in the circuit? (The lamp is a pure resistive load.)
The object is 16.0 cm from the surface of the spherical Christmas tree ornament which is 8.00 cm in diameter. Determine the magnification of the image?
When a virtual image is formed 9.0 cm all along the principal axis from a convex mirror of focal length –15.0 cm, determine how far the object from the mirror is?
At this instant, find out (i) the angular momentum of particle about the origin and (ii) the angular momentum of the particle about the point x = 0, y = 6.00 m
To compute their height above ground, balloonists simultaneously measure angle of depression to two consecutive mileposts on road on same side of balloon.
A proton is free from rest in a uniform electric field of magnitude 400 N/C. (i) Determine the electric force on the proton.
The incoming ball is deflected at an angle of 42 from the original direction of motion. i) Determine the speed of the first ball after the collision.
Draw the intensity of the transmitted light as the function of the angle via which the second polarizer is rotated.
2 people are 50 yrs old and 24 yrs old respectivly in x years from now there age can be represented by x+50 and x+24. Utilize long division to compute ratio of older persons age to younger persons
The rock is thrown downward from top of the 40.0 m tower with the initial speed of 12 m/s. Suppose negligible air resistance, find speed of rock just before hitting ground?
Draw the graph of function by (i) applying Leading Coefficient Test, (ii) determining zeros of polynomial, (iii) plotting adequate solution points
Assume that P(x) signifies percentage of income spent on automobile insurance in year x and I(x) signifies income in year x. Find the function A which signifies total automobile insurance expenditu
The rectangular playground is to be enclosed by the fence, and divided into 3 sections with fencing parallel to 2 of its sides. If 800m of fence are utilized to enclose the maximum area, find overal
400 students are eager to purchase them at given price. For every $10 increase in price, 40 fewer students will purchase tickets. Find maximum revenue?
After t years, annual sales in hundreds of thousands of units of product, q, is given by q = (1/2)0.8t. Compute annual sales of product after seven years.
Determine the linear model for price P of car T years from year 2000. In what year will price of the make of car reach 25,0000.
Book is sold to distributors for $25.00 each. How many books should be sold for publisher to make the profit of at least $120,000?
At lift off space shuttle discovery had the constant acceleration, a, of 16.4 ft/sec2. Find distance from earth for every interval, t, after liftoff.
Determine the function which models weekly profit in terms of price per feeder. Consider x be price per feeder and P(x) be profit.
Join two radial edges of remaining portion of paper to form the cone with radius r and height h. Find length of arc will produce the cone with the volume greater than 21 in.3.
Determine maximum volume of the box which is created by cutting the square of side x inches from every corner of a 12 inch by 18 inch piece of paper and folding up flaps.
Prove that each of indicated numbers is a zero of given polynomial function f. Determine all other zeros and then provide complete factorization of f(x) 1/4, 3/2; f(x) =8x^4-30x^3+23x^2+8x-3.
Graph equations, solve equations simultaneously to determine coordinates of any intersection points of the graphs.