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Questions in mathematics

[Terjawab] Solve by factoring or finding square roots. [tex]x^2-49=0[/tex]

[Terjawab] The perimeter of a square is $80-64y$ units. Which expression can be used to show the side length of one side of the square? A. $(6i5-4y)$ Each side measures ${ }^{5-4y}$ units. B. $4(5-4)$ Each side measures $5-4$ units. C. $4(22-18y)$ Each side measures $20-16y$ units. D. $(20-16)$. Each side measures $20-16$ units.

[Terjawab] Roger has a credit card with an APR of [tex]$19.40 \%$[/tex] and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of June. | Date | Amount ($) | Transaction | |---|---|---| | 6 / 1 | 265.40 | Beginning balance | | 6 / 6 | 90.00 | Payment | | 6 / 16 | 43.33 | Purchase | | 6 / 22 | 37.71 | Purchase | If Roger's finance charge for June is $ 3.56, which method of calculating the finance charge does Roger's credit company use? a. daily balance method b. adjusted balance method c. previous balance method d. there is not enough information to determine which method was used

[Terjawab] Identify the graph of [tex]f(x)=\sqrt{x-2}+3[/tex].

[Terjawab] What is the equivalent expression of $x^{\frac{1}{3}} x^{\frac{1}{4}}$ ? A. $\sqrt[2]{x^7}$ B. $\sqrt[12]{x^7}$ C. $\sqrt[7]{x^2}$ D. $\sqrt[12]{x}$

[Terjawab] Tell what property allows you to compute [tex]$\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$[/tex] as [tex]$\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$[/tex]

[Terjawab] Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins?

[Terjawab] Solve the following equation: [tex]\frac{3}{2 b-5}-\frac{4}{b-3}=0[/tex]

[Terjawab] $x^2-10 x+25=0$ $\\frac{1}{3}=m+\\frac{m-1}{m}$

[Terjawab] Linda and Ali are standing on a riverbank, at points A and B respectively. Ali is 170 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 44°, and angle B (angle ABC) is 53°. How far are Linda and Ali standing from one another? Round your answer to the nearest tenth of a meter.