Questions in mathematics

Questions in mathematics

📝 Answered - $1 a^2+a b+a x+b x=$

📝 Answered - Write as an equation: Mike, Carroll, and Jim empty their wallets and have $175 total. Mike has three times as much as Carroll. Carroll has twice as much money as Jim. How much money does each have? A. [tex]j+2 j+3(2 j)=175[/tex] B. [tex]3 j+2(3+j)=175[/tex] C. [tex]j+2 j+3 j=175[/tex]

📝 Answered - A TV screen is 1.25 m wide by 70 cm high. The best scale to compare the width to the height would be: a) 1:1.8 b) 2:1 c) 1.8:1 d) 1:2

📝 Answered - Mario spent a total of $87.33 last week but did not keep a perfect record of where his money went. Fortunately, Mario does have all but one of his receipts. He enters all of the information he has into his expense spreadsheet as shown below. Transaction Amount Oil change $18.95 Gas in car $20.50 Lunch out $12.68 Golfing Total Spent $87.33 How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96

📝 Answered - Let [tex]$t$[/tex] be the number of seconds that have elapsed since you began moving. It takes you 5 seconds to reach the top of the wheel (38 feet above the ground) and 20 seconds to make a complete revolution. The diameter of the wheel is 30 feet. Work with your classmates to answer the following questions: a. What is the lowest you go as the Ferris wheel turns? b. Why is this number always greater than zero? Write the equation of a sinusoid that describes this motion. c. Predict your height above the ground when [tex]$t=3, t=8, t=15$[/tex], and [tex]$t=19$[/tex].

📝 Answered - How would you represent 0.006453 in standard scientific notation? a) 0.006453 b) [tex]$6453 \times 10^{-6}$[/tex] c) [tex]$64.53 \times 10^{-4}$[/tex] d) [tex]$6.453 \times 10^{-3}$[/tex] e) [tex]$0.6453 \times 10^{-2}$[/tex]

📝 Answered - \(\left(\frac{16}{81}\right)^{3 / 4}\)

📝 Answered - Suppose that $17,490 is invested at an interest rate of 6.4% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is P(t)=. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is $ (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is $ (Simplify your answers. Round to two decimal places as needed.) The balance after 5 years is $ (Simplify your answers. Round to two decimal places as needed.) The balance after 10 years is $

📝 Answered - You are solving the system of linear equations below. What equation and variable would be best to choose to solve for a variable in terms of the other variable? [tex] \begin{array}{l} 2 x-y+7=0 \\ 7 x+\frac{1}{2} x=7 \end{array} [/tex] A. Solve for [tex]$x$[/tex] in the second equation. B. Solve for [tex]$y$[/tex] in the second equation. C. Solve for [tex]$y$[/tex] in the first equation. D. Solve for [tex]$x$[/tex] in the first equation.

📝 Answered - Simplify: $3^4 \cdot 2^0 \cdot 6^1$