Questions in mathematics

Questions in mathematics

📝 Answered - What is the product of $\left(7.9 \times 10^{11}\right)\left(3.5 \times 10^6\right)$ written in scientific notation? A. $11.4 \times 10^{17}$ B. $2.765 \times 10^{19}$ C. $2.765 \times 10^{17}$ D. $2.765 \times 10^{18}$

📝 Answered - Express 727,000 in scientific notation. [?] \times 10^[?] Enter the coefficient in the green box and the exponent in the yellow box.

📝 Answered - Using compatible numbers, which is the best estimate of $(28.5)(7.1)$? A. 36 B. 40 C. 210 D. 300

📝 Answered - Use the information above and answer the questions that follow. 4.1. Determine the total number of hay bales being transported. 4.2. Determine the length of the trailer and the height of the trailer in metres. 4.3. The driver claimed that the total volume of hay bales in the truck is approximately 48 m3. Verify this claim. You may use the formula: Volume of a cylinder [tex]$=\pi \times$[/tex] (radius) [tex]$2 \times$[/tex] height Use [tex]$\pi=3,142$[/tex]

📝 Answered - A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, $y$, after $x$ years? (Round money values to the nearest penny.) A. $y=18(1.15)^x$ B. $y=18(0.15)^x$ C. $y=20.7(1.15)^x$ D. $y=20.7(0.15)^x

📝 Answered - Carlos wrote a check for $44.92 to pay his gas bill. He'll use the check register to record his transaction. What will be the new balance? | Check number | Date | Description of Transaction | (-) Debit | \checkmark | (+) Deposits | Balance | | :----------- | :----- | :------------------------- | :-------- | :--------- | :----------- | :------ | | | | Beginning Balance | | | | 418.95 | | 457 | 5/12 | Water Bill | 28.94 | | | 390.01 | | | 5/14 | Cash gift | | | 25.00 | 415.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

📝 Answered - The function [tex]f(x)=-x^2-4 x+5[/tex] is shown on the graph. Which statement about the function is true? A. The domain of the function is all real numbers less than or equal to - 2 B. The domain of the function is all real numbers less than or equal to 9. C. The range of the function is all real numbers less than or equal to -2 D. The range of the function is all real numbers less than or equal to 9.

📝 Answered - Question 20 (5 points) Multiply the complex numbers: $(1 / 2+4 i)^2$ A) $-15 \frac{3}{4}+4 i$ B) $15^3 / 4+8 i$ C) $15^3 / 4+4 i$ D) $-15^3 / 4+8 i$

📝 Answered - A table of values of a linear function is shown below. | x | -2 | 0 | 2 | 4 | |---|---|---|---|---| | y | 10 | 4 | -2 | -8 | Find the $y$-intercept and slope of the function's graph.

📝 Answered - Part B: The smoothie chain makes multiple $0.15 increases to the average prices of their smoothies. The table shows the average profit of the chain compared to the number of price increases. The data models a quadratic function. | Number of Price Increases (x) | Profit (millions) (y) | | :---------------------------- | :-------------------- | | 25 | 204 | | 60 | 285 | | 105 | 368 | | 132 | 384 | | 155 | 376 | | 172 | 356 | | 200 | 318 | | 254 | 185 | | 290 | 70 | Use the data in the table to answer questions 3-5. 3. Use technology or hand calculations to determine the equation for the quadratic function modeled by the data in the table. Show an image of your final answer. (10 points) 4. Using the equation from question 3, determine the maximum profit. (5 points) 5. Using the equation from question 3, determine how many price increases will cause the smoothie chain to have zero profit. (7 points)