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1) A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
2. A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 600 feet to a mountain lake at an elevation of 9000 feet. What is the length of the trail (to the nearest foot)?
3. Find the amplitude.
y = -2 cos(3Δx - 3)
4. Find the period
y = -5 sin ((1/2)x -Δ/2 period
note:
Every triangle symbol is pie i.e 22/7 or 3.714
A rock is dropped from a height of 576 ft and falls toward earth in a straight line. In t seconds the rock drops a distance of s=16t^2 ft. What is the average velocity of the rock during the time it is falling?
a balloon rises straight up from the corner of 69th and normal at 10 ftsec. what is the rate of change of the angle of
the ball you draw is numbered m. What is the maximum likelihood estimate of n. Is the estimate biased (you have to research and find out the formal definition of the term biased. Prove your answer.
Six liters of liquid soap were bought for $11.40 per liter. The soap was repackaged in 150-mililliliter plastic containers. The cost of each container was $.26. Each container of soap sold for $3.29 per bottle. Find the profit on the 6 liters of l..
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
A rectangular swimming pool 16 m by 11 m is being filled at the rate of 0.4 m3/min. How fast is the height h of the water rising?
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
A form of level production where the total number of disk units needed during the year are produced during the year. What is the total cost of this option, excluding the material cost
a survey of 1000 registered voters reveald taht 450 people would vote for candidate A in up coming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Prove that the intersection of any collection of closed sets in X is a closed set and prove that the union of finitely many closed sets in X is a closed set.
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