Questions in mathematics

Questions in mathematics

📝 Answered - Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80. The inequality [tex]$1.20 x+1.80 \leq 7.80$[/tex] models this situation, where [tex]$x$[/tex] is the number of pounds of tomatoes. Solve the inequality. How many pounds of tomatoes can Lisa buy? A. [tex]$x \leq 8$[/tex]; Lisa can buy 8 pounds or less of tomatoes. B. [tex]$x \geq 8$[/tex]; Lisa can buy 8 pounds or more of tomatoes. C. [tex]$x \geq 5$[/tex]; Lisa can buy 5 pounds or more of tomatoes. D. [tex]$x \leq 5$[/tex]; Lisa can buy 5 pounds or less of tomatoes.

📝 Answered - The table shows the results of rolling a fair six-sided die. Complete parts (a) through (c) below. | Outcome on Die | First 100 Trials | Second 100 Trials | 500 Trials | |---|---|---|---| | 1 | 18 | 15 | 84 | | 2 | 14 | 19 | 88 | | 3 | 19 | 14 | 86 | | 4 | 21 | 16 | 79 | | 5 | 14 | 12 | 89 | | 6 | 14 | 24 | 74 | (a) Using the table, find the empirical probability of rolling a 2 for the first 100 trials. (b) Using the table, find the empirical probability of rolling a 2 for the second 100 trials. (c) Using the table, find the empirical probability of rolling a 2 for 500 trials.

📝 Answered - Shows an exchange rate table. | cy | Exchange Rate April 3, 2013 (Euro = 1) | |---|---| | lev | 1.96 | | dollar | 1.301 | | anc | 1.2149 | | und | 0.8482 | | yen | 119.4065 | | lar | 1.2839 | On April 3, 2013, one euro could be exchanged for about how many Japanese yen? A. 1 B. 119 C. 2 D. 121

📝 Answered - Perform the following operation and express the answer in proper scientific notation. [tex]$\frac{9.0 \times 10^{-5}}{2.0 \times 10^{-8}}=[?] \times 10^{[?]}$[/tex] Enter the coefficient in the green box and the exponent in the yellow one. Coefficient (green) [tex]$\square[/tex] Exponent (yellow)

📝 Answered - Using the properties of integer exponents, match each expression with its equivalent expression. Tiles: $4^{-2}$ $4^{-8}$ $4^8$ $4^2$ $4^4$ Pairs: $\left(4^{-2}\right)^4 \longrightarrow$ $\left(4^2\right)^{-1} \longrightarrow$ $4^2 \cdot 4^6 \longrightarrow$ $4^5 \cdot 4^{-3} \longrightarrow$

📝 Answered - Which expression equals $9 \sqrt[3]{10}$ ? A. $5 \sqrt{10}+4 \sqrt{10}$ B. $5 \sqrt[3]{10}+4 \sqrt[3]{10}$ C. $5 \sqrt{10}+4 \sqrt[3]{10}$ D. $5 \sqrt[3]{10}+4 \sqrt{10}$

📝 Answered - To solve $49^{3 x}=343^{2 x+1}$, write each side of the equation in terms of base $\square$.

📝 Answered - In a board game, these rules apply: 1. A player can only move forward if they have a blue token. 2. To collect a red token, a player must first have a green token. 3. Green tokens can only be collected after passing the star space. 4. Players can hold multiple tokens at once. If a player has not yet passed the star space, which of the following must be true? A. The player cannot move forward. B. The player must have a blue token. C. The player cannot have a red token. D. The player cannot collect any tokens.

📝 Answered - Consider the following sets: [tex]$\begin{array}{l} A =\{x \mid x \text { is alive }\} \ F =\{x \mid x \text { is in France }\} \ M =\{x \mid x \text { is a national monument }\} \ W =\{x \mid x \text { is a woman }\} \end{array}$[/tex] Which statements are true given the sets above? Check all that apply. * Paris [tex]$\in[/tex] F * The Statue of Liberty [tex]$\in[/tex] A * The Statue of Liberty [tex]$\in[/tex] M * Abraham Lincoln belongs to none of these sets. * The Eiffel Tower is in more than one of these sets.

📝 Answered - A general formula for a parabola is [tex]$y^2=4 p x$[/tex]. What is the value of [tex]$p$[/tex] in the equation [tex]$y^2=-4 x$[/tex] ? A. [tex]$P=-4$[/tex] B. [tex]$P=-1$[/tex] C. [tex]$P=1$[/tex] D. [tex]$P=4$[/tex]