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Questions in mathematics

[Jawaban] Find the unit digit of 2^6 + 3^7 + 4^8 + 5^9.

[Jawaban] Which equation represents a circle that contains the point $(-2,8)$ and has a center at $(4,0)$? Distance formula: $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$ A. $(x-4)^2+y^2=100$ B. $(x-4)^2+y^2=10$ C. $x^2+(y-4)^2=10$ D. $x^2+(y-4)^2=100

[Jawaban] If [tex]$g(x)=3x$[/tex] is graphed on a coordinate plane, what is the [tex]$y$[/tex]-intercept of the graph?

[Jawaban] Select the correct answer. A coffee shop begins the day with 75 bagels and sells an average of 10 bagels each hour. Function [tex]$b$[/tex] models the bagel inventory, [tex]$b(x), x$[/tex] hours after opening. [tex]$b(x)=75-10 x$[/tex] If the coffee shop wants to make a graph of function [tex]$b$[/tex], which values of [tex]$x$[/tex] should it include on the graph to include the relevant domain within the context? A. [tex]$0 \leq x \leq 7.5$[/tex] B. [tex]$0 \leq x \leq \infty$[/tex] C. [tex]$-\infty \leq x \leq \infty$[/tex] D. [tex]$0 \leq x \leq 75$[/tex]

[Jawaban] Which solution value satisfies the inequality [tex]x-6 \geq -7[/tex]? A) [tex]x=0[/tex] B) [tex]x=-2[/tex] C) [tex]x=-7[/tex] D) [tex]x=-5[/tex]

[Jawaban] A farmer borrowed a sum of Rs 10,000 from a Rural Development Bank at the rate of $7.5 \%$ p.a. If he/she paid an amount of Rs 15,250 to clear the debt, how?

[Jawaban] Which statement describes the graph of [tex]f(x)=-4 x^3-28 x^2-32 x+64[/tex]? The graph crosses the [tex]x[/tex]-axis at [tex]x=4[/tex] and touches the [tex]x[/tex]-axis at [tex]x=-1[/tex]. The graph touches the [tex]x[/tex]-axis at [tex]x=4[/tex] and crosses the [tex]x[/tex]-axis at [tex]x=-1[/tex]. The graph crosses the [tex]x[/tex]-axis at [tex]x=-4[/tex] and touches the [tex]x[/tex]-axis at [tex]x=1[/tex]. The graph touches the [tex]x[/tex]-axis at [tex]x=-4[/tex] and crosses the [tex]x[/tex]-axis at [tex]x=1[/tex].

[Jawaban] Finding the Inverse of a Function The formula for converting a temperature in degrees Celsius to degrees Fahrenheit is [tex]F(C)=\frac{9}{5} C+32[/tex]. The inverse function will convert a temperature in degrees Fahrenheit to degrees Celsius. What is the formula for converting from degrees Fahrenheit to degrees Celsius? [tex]C(F)=\square F-\square[/tex].

[Jawaban] A bank features a savings account that has an annual percentage rate of $3.6\%$ with interest compounded quarterly. Brigeth deposits $\$5,500$ into the account. How much money will Brigeth have in the account in 1 year? Answer = $\$\square$ Round answer to the nearest penny. What is the annual percentage yield (APY) for the savings account? $APY = \square\%$ Round to the nearest hundredth of a percent.

[Jawaban] Quality control must approve 5/8 of the labels printed at a factory. If the factory prints a batch of 720 labels, how many labels must quality control approve?