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Questions in mathematics

[Jawaban] Simplify the expression below. $(5 x)^2$ A. $5 x^2$ B. $10 x^2$ C. $25 x^2$ D. $52 x^2$

[Jawaban] The table of values below represents a linear function and shows the amount of money in Juanita's savings account since she began her part-time job. What is her monthly rate of savings? | Number of Months Working at Part-Time Job | 0 | 2 | 4 | 6 | 8 | | :--------------------------------------- | :-- | :-- | :-- | :-- | :-- | | Amount in Saving Account (in dollars) | $36 | $60 | $84 | $108 | $132 | A. $12 per month B. $18 per month C. $24 per month D. $36 per month

[Jawaban] Select the correct answer. Vector $u$ has a magnitude of 5 units and a direction angle of $75^{\circ}$, and vector $v$ has a magnitude of 6 units and a direction angle of $210^{\circ}$. What is the component form of the vector $u + v$ ? A. $\langle-3.95,1.83\rangle$ B. $\langle-3.94,1.89\rangle$ C. $\langle-3.90,1.89\rangle$ D. $\langle-3.90,1.83\rangle$

[Jawaban] Simplify: [tex]3 \sqrt{28}+4 \sqrt{7}+2 \sqrt{32}[/tex] A) [tex]14 \sqrt{7}+5 \sqrt{2}[/tex] B) [tex]10 \sqrt{7}+8 \sqrt{2}[/tex] C) [tex]10 \sqrt{7}+5 \sqrt{2}[/tex] D) [tex]10 \sqrt{7}-\sqrt{2}[/tex]

[Jawaban] The set of life spans of an appliance is normally distributed with a mean [tex]$\mu=48$[/tex] months and a standard deviation [tex]$\sigma=$[/tex] 8 months. What is the life span of an appliance that has a [tex]$z$[/tex]-score of -3?

[Jawaban] Which equation fits a parabola with an a-value of 1, a b-value of 3, and a c-value of 6? $0=2 x-5+x^4$ $0=x-3-5 x^2$ $0=3 x-5-x^2$ $0=3 x+5 x^2$

[Jawaban] $\left(-\frac{5}{4}\right)$ $-\frac{9}{12}$ 1. Identify the base: $-\frac{3}{4}$ $-\frac{27}{64}$ 2. Determine the exponent: 3 $\frac{9}{12}$ 3. Write in expanded form: $\left(-\frac{3}{4}\right)\left(-\frac{3}{4}\right)\left(-\frac{3}{4}\right)$ $\frac{27}{64}$

[Jawaban] Use a calculator to find the common logarithm. [tex]$\log 3$[/tex] Select the correct choice below and fill in any answer boxes within your choice. A. The answer is [tex]$\square$[/tex]. (Round to four decimal places.) B. The solution does not exist.

[Jawaban] The minimum point on the graph of the equation y=f(x) is (−1,−3). What is the minimum point on the graph of the equation y=f(x)+5? A. (−6,−3) B. (4,3) C. (−1,−8) D. (−1,2)

[Jawaban] You and your mom enter a drawing with 3 different prizes. A total of 9 people entered the drawing, and prizes are awarded randomly. There are 504 ways to award the prizes. What is the probability that you win first prize and your mom wins second prize? A. [tex]$\frac{8}{504}$[/tex] B. [tex]$\frac{1}{9}$[/tex] C. [tex]$\frac{7}{504}$[/tex] D. [tex]$\frac{1}{504}$[/tex]