Questions in mathematics

Questions in mathematics

📝 Answered - Sarah transferred $450.00 from her savings account to her checking account. She'll use the check register to record her transaction. What will be her new balance? | Check number | Date | Description of Transaction | (-) Debit | | (+) Deposits | Balance | | :----------- | :--- | :------------------------- | :-------- | :-: | :----------- | :------ | | | | Beginning Balance | | | | 452.21 | | 258 | 4/1 | Phone Bill | 142.36 | | | 309.85 | | 259 | 4/7 | Groceries | 59.80 | | | 250.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

📝 Answered - Prove that the arithmetic sequence with first term [tex]\frac{1}{2}[/tex] and common difference [tex]\frac{1}{4}[/tex] contains all natural numbers?

📝 Answered - An arithmetic sequence has u₇ = 36 and u₁₅ = 76. Calculate the common difference, d. d =

📝 Answered - How many boxes will fit along the height of the shipping crate? | | Storage Crate Size | Box Dimensions | | :----- | :----------------- | :------------- | | Width | 8 feet | 10 inches | | Height | 8 feet | 4 inches | | Length | 20 feet | 10 inches |

📝 Answered - Rewrite the product as an exponent: [tex]$2^6 \cdot 2^4$[/tex]

📝 Answered - When a baseball is hit by a batter, the height of the ball, [tex]h(t)[/tex], at time [tex]t[/tex], [tex]t=0[/tex], is determined by the equation [tex]h(t)=-16 t^2+64 t+4[/tex]. If [tex]t[/tex] is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet? A. [tex]1\ \textless \ t\ \textless \ 3[/tex] B. [tex]t \leq 1[/tex] C. [tex]0\ \textless \ t\ \textless \ 1[/tex] D. [tex]1 \leq t \leq 3[/tex]

📝 Answered - Which equation illustrates the identity property of multiplication? $(a+b i) \cdot(c+d i)=(c+d i) \cdot(a+b i)$ $(a+b i) \cdot 0=0$ $(a+b i) \cdot 1=(a+b i)$ $(a+b i) \cdot c=(a c+b c i)$

📝 Answered - On a number line, the directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] has endpoints [tex]$Q$[/tex] at -8 and [tex]$S$[/tex] at 12. Point [tex]$R$[/tex] partitions the directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] in a 4:1 ratio. Which expression correctly uses the formula [tex]$\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$[/tex] to find the location of point R? A. [tex]$\left(\frac{1}{1+4}\right)(12-(-8))+(-8)$[/tex] B. [tex]$\left(\frac{4}{4+1}\right)(12-(-8))+(-8)$[/tex] C. [tex]$\left(\frac{4}{4+1}\right)(-8-12)+12$[/tex] D. [tex]$\left(\frac{4}{1+4}\right)(-8-12)+12$[/tex]

📝 Answered - Simplify a) [tex]i^{21}[/tex] b) [tex]\sqrt{-49}[/tex] c) [tex]\frac{-12 \pm \sqrt{-18}}{3}[/tex]

📝 Answered - A cube has a volume of 216 cubic centimeters. What can be concluded about this cube? Check all that apply. Recall the formula Cube [tex]V=s^3[/tex]. * The side length, [tex]$s$[/tex], can be found using the equation [tex]$3 s=216$[/tex] * This is a perfect cube. * The side length is 72 centimeters. * The side length is 6 centimeters. * Taking the cube root of the volume will determine the side length. * If you multiply the volume by three, you can determine the side length.