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Determine the polynomial p(x) with real coefficients which satisfies given conditions: degree 3; root are 4 and 3i. Determine the polynomial f(x) with real coefficients which satisfies given condition
Assume the bottle of wine at the room tempature of 72oF is placed in refrigerator that is 40oF AND K=0.4. Determine tempature of wine, to nearest degree, after five hours in refrigerator?
Determine number of different sets of radio station call letters which are possible in United States. Determine number of different sets of radio station call letters which are possible if call letter
If the earthquake has the magnitude 6.1 on Richter scale, determine magnitude on Richter scale of the earthquake which has the intensity 40 times greater? Find the equation 10x = 40.
Production schedule needs that at least 240 units of 8 inch pliers and at least 140 units of 6 inch pliers should be made during each 10 hour day. Which combination of machines will cost least money
The number N of bacteria in the culture is modeled by function N (t)= 25e^kt, where t is measured in hours. If there are 200 bacteria after three hours, determine exact time needed for there to be
The reflecting telescope has the mirror shaped like the paraboloid of revolution. If distance of vertex to focus is 31 feet and distance across top of mirror is 54 inches, how deep is mirror in cen
The airplane has the air speed of 550 mph bearnig N30'W. Wind velocity is 50 mph in direction of N30'E/ To nearest thenth, find ground speed of plane? what is the direction?
Determine wavelength of sound wave in every material, and rank wavelength of resulting sound waves in every medium from smallest to largest.
The population of rabbits grow exponentially. Originally there are 25 rabbits, but after nine months there are 50. Compute exponential model p=p0.ekt. Utilize three significant figures for k.
Number of $20 bills is twice number of $1 bills, and number of $5 bill is 10 more than number of $1 bills. Write down the system of linear equations to represent condition.
22 like both brussels sprouts and cauliflower and of the students 12 like all 3 vegetables. How many of 292 college students don't like any of the 3 vegetables?
After seven hours of burning, candle has the height of 19.2 centimeters. After 26 hours of burning, its height is 11.6 centimeters. Determine the height of candle after twelve hours?
State distance between ryan and josh as the function of t. How far apart are ryan and josh at noon? At what time will they be roughly 93 miles apart?
Draw one period of graph of the equation, labeling points: (h, k), (h, kIaI) and (h+p; k). Label the points on graph, replacing h, k, k+IaI, k-IaI, and h+p with the approximate values in context of
Illustrate algebraically which this point is on unit circle. Assume P is terminal point determined by t. Determine exact values of sin(t), cos(t) and tan(t).
To evaluate the height above ground, balloonists simultaneously estimate angle of depression to 2 consecutive mileposts on road on same side of balloon. Angles of depression are found to be 14°
The average atmospheric pressure P in pounds per square inch is P = 14.7e?-0.21x, where x is altitude in miles above sea level. Determine average atmospheric pressure for the altitude of 8.1 miles.
Find in which administration follow variables will be higher ; investment spending, consumer spending, government saving and private saving and net exports. Describe the answers.
Use laws of logarithms to rewrite expression below in the form with no logarithm of the product quotent or power. Determine solution of expential equation correct to 4 decimal places.
LP speed makes the better quality picture, so she wants to maximize time recorded at LP speed. Determine amount of time to be recorded at every speed.
When the plant or animal dies it ceases replacing the carbon and amount of 14C starts parchment fragment was found that had about 76% as much 14C radioactivity as does plant material on Earth today
They found that t years after study started population size,N(t), was increasing at the rate proportional to 1100-N(t). If population was 500 in year 2000, find size of elk population in year 2010?
The chunk of burned wood is found in which percentage of Carbon 14 among all carbon of wood is 10% T years ago corresponding percentage was 30%. Determine T. Assume half life of Carbon 14 is 5,600 y
The airplane is flying in calm conditions N 30 (degrees) E at 350 miles per hour. Unexpectedly plane encounters the wind of 60 miles per hour in direction N 70 (degrees) E. Determine actual speed a