Q and A for the topic: General

What is the y-component and magnitude of a vector 𝑎 located in the xy-plane if its direction is 230° counterclockwise rotation movement measured from positive x and if its x component is - 6.5 m?

What is the speed of a car that travels 300 meters in 10 seconds?

5x − 3(8x − 2)= 10x − 12+ 4(x − 2)

If V=volume, p=specific weight and Q=flow rate, determine the dimensional equation for K=VpQ

There is an initial disbursement of $100,000. The cash flow is: $30,000, $30,000, $40,000, $30,000 and $50,000. calculate the accounting rate of return.

Project “l” has a cost of $10,000. The estimated life is 10 years. The cash flow is $2,500. calculate the accounting rate of return.

a bookshop has a total of 760 pens and rulers. 70% of the pens and 60% ofthe rulers were sold. the owner of the bookshop bought 41 rulers. on the end, the number of pens left was three times the number of rulers left.

You must make 5-question tests from a test bank of 8 questions. How many tests can you make if the order does not matter?

In a diamond ABCD, we draw the segment BN perpendicular to the segment AD, the segment BM perpendicular to CD, the segment DR perpendicular to AB and the segment DQ perpendicular to BC. The perpendiculars BN and DR intersect at point E and the perpendiculars BM and DQ intersect at point F. Demonstrate using Euclidean geometry that BEDF is a rhombus and that its angles are isometric to the angles of rhombus ABCD.

(csc^2x-1)secx(tan^2x)cosx-csc^2(-x)

In a certain distribution of numbers, the mean is 100 with a standard deviation of 7. At least what fraction of the numbers are between 37 and 163

Construct a triangle abc, give the 2 sides ab 7.4 cm and ac 5.5 cm and an included angle at a 75 degrees. State the length of side bc

In nuclear medicine, a radioactive isotope is used to diagnose certain diseases. A particular isotope has a half-life of 6 hours, which means that every 6 hours, the amount of radioactive isotope is reduced by half due to radioactive decay. In one procedure, 2 milligrams (mg) of the isotope is injected into the patient. Determine: a) Express the remaining amount of the radioactive isotope as a function of time using a logarithmic exponential function. b) Determine the amount of isotope that will remain in the patient's body after 24 hours.

Rafael is picking out some movies to rent, and he is primarily interested in documentaries and foreign films. He has narrowed down his selections to 16 documentaries and 15 foreign films. How many different combinations of 4 movies can he rent if he wants at least one documentary?

lim 4-x x-->3

There is the current that passes through a circuit that has a resistance of 400 ohms and that is connected to a voltage of 50 V

Determine the slope of the line that passes through the given points: P1=(-2, 1) and P2=(1, 4)

Find the area of the region bounded by the graphs of the given functions y=x⁴−4x² y=4x² Give your numerical answer (approximate number only) in square units to three decimal places of precision.

At Liberty High School, 140 students just completed a statistics course. The final exam percentages were normally distributed with a mean of 80 and a standard deviation of 6. What percentage of students scored greater than 86?

After their last financial report the Bank had a price-to-earnings ratio of 20. If the annual earnings declared were $10,000,000, and there are 500,000 shares, what is the current price of the shares?