Questions in mathematics

Questions in mathematics

📝 Answered - Convert 7.6 $cm ^3$ to $m ^3$

📝 Answered - Kito makes an online purchase of a guitar case for $39.99, a tuner for $24.99, and picks for $26.99. Taxes are 6% of the total purchase price. Shipping charges are based on the following table: | Amount of Purchase | Standard Shipping | Express Shipping | | :----------------- | :---------------- | :--------------- | | up to $50 | $5.10 | $7.00 | | $50 up to $100 | $6.35 | $8.20 | | $100 up to $200 | $7.80 | $11.60 | | $200 and over | $10.50 | $16.45 | Kito selects express shipping, and the company bills his credit card $105.69 for the total of the online purchase. Determine if Kito has been billed correctly for his purchase. A. Kito has been billed correctly. B. Kito has not been charged enough for his purchase. C. Kito has been overcharged by $1.85 for his purchase. D. Kito has been overcharged by $3.40 for his purchase.

📝 Answered - Draw the regular polygons with the given conditions: 1. Regular hexagon with side length of 3 cm 2. Regular octagon whose side measures 3 in. 3. Decagon with 5 cm as side length

📝 Answered - If \(-\frac{1}{2}\) is one of the roots of the equation \(kx^2 - kx - 3 = 0\), then the value of k is: (1) -4 (2) 2 (3) -2 (4) 4

📝 Answered - A borrowed ₹28,500 at 8% p.a. interest, compounded annually. If ₹5,780 was paid at the end of the first year, what is the outstanding amount at the end of the second year? A. 27000 B. 33242.4 C. 30780 D. 27462.4

📝 Answered - The volume of air inside a rubber ball with radius [tex]$r$[/tex] can be found using the function [tex]$v(r) = \frac{4}{3} \pi r^3$[/tex]. What does [tex]$v(\frac{5}{7})$[/tex] represent? A. the radius of the rubber ball when the volume equals [tex]$\frac{5}{7}$[/tex] cubic feet B. the volume of the rubber ball when the radius equals [tex]$\frac{5}{7}$[/tex] feet C. that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet D. that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

📝 Answered - How many boxes will fit along the height of the shipping crate? | | Storage Crate Size | Box Dimensions | | :----- | :----------------- | :------------- | | Width | 9 feet | 14 inches | | Height | 12 feet | 7 inches | | Length | 12 feet | 14 inches |

📝 Answered - The table below shows the rand equivalent of one British pound and one US dollar. | COUNTRY | CURRENCY | RATE OF EXCHANGE OF THE RAND | |---|---|---| | Britain (United Kingdom) | Pound (£) | 21.41 | | United States of America | Dollar ($) | 13.45 | A South African nurse works in the United States of America. 4.2.1 The nurse saves the equivalent of R4 800 per month. Calculate the amount, in US (American) dollars, that she saves per month. 4.2.2 She ordered a book from the United Kingdom (Britain) and paid $85 for it. Calculate the price of the book in pounds (£). 4.3 A sum of money doubles in 5 years when the interest is compounded annually. Calculate the rate of interest.

📝 Answered - Which subtraction expression has the difference $1+4 i$? A. $(-2+6 i)-(-1-2 i)$ B. $(3+5 i)-(2+i)$ C. $(3+5 i)-(2-i)$ D. $(-2+6 i)-(1-2 i)$

📝 Answered - An exterminator estimated there were 12,000 termites in a house. Each time the house was sprayed, the number of termites was reduced to one-fourth the previous number. How many termites were there after the house was sprayed [tex]$x$[/tex] times? Write a function to represent this scenario. A. [tex]$f(x)=\frac{1}{4}(12,000)^x$[/tex] B. [tex]$f(x)=12,000(\frac{1}{4})^x$[/tex] C. [tex]$f(x)=12,000+(\frac{1}{4})^x$[/tex] D. [tex]$f(x)=12,000-(\frac{1}{4})^x$[/tex]