Questions in mathematics

Questions in mathematics

📝 Answered - Add the following using a number line: a) 5 + (-8)?

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - [tex]\frac{3}{17}+6[/tex]

📝 Answered - Simplify. Assume all variables are positive. [tex]x^{-\frac{5}{2}} \div x^{-\frac{8}{7}}[/tex] Write your answer in the form [tex]A[/tex] or [tex]\frac{A}{B}[/tex], where [tex]A[/tex] and [tex]B[/tex] are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

📝 Answered - Which value must be added to the expression [tex]x^2+12 x[/tex] to make it a perfect-square trinomial? A. 6 B. 36 C. 72 D. 144

📝 Answered - 1. In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book and then reach in and select a notebook, are these independent events? Explain. A. No. You did not replace the first book, so that changed the probability that you would draw a notebook second. B. Yes. You can use the formula [tex]P(A[/tex] or [tex]B)=P(A)+P(B)-P(A[/tex] and [tex]B)[/tex] to calculate the probability of this outcome. C. No. These are dependent events and you can calculate the probability of this outcome using the formula [tex]P(A[/tex] or [tex]B)=P(A) \cdot P(B)[/tex]. D. Yes. The probability of drawing a notebook was the same regardless of replacing the math book.

📝 Answered - What is the value of [tex]$\tan \left(60^{\circ}\right)$[/tex]? A. [tex]$\frac{1}{2}$[/tex] B. [tex]$\sqrt{3}$[/tex] C. [tex]$\frac{\sqrt{3}}{2}$[/tex] D. [tex]$\frac{1}{\sqrt{3}}$[/tex]

📝 Answered - Add. $-8+(+7)=$ A. $-1$ B. $15$ C. $-15$ D. $1$

📝 Answered - Rectangle $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is the image of rectangle $A B C D$ after it has been translated according to the rule $T_{-4,3}(x, y)$. Which points are vertices of the pre-image, rectangle ABCD? Select four options. $(-1,-2)$ $(7,1)$ $(-1,7)$ $(-1,1)$ $(7,-2)$

📝 Answered - A knitting pattern for a shawl calls for 8 stitches in the first row. Each row after that has 2 more stitches than the previous row. The explicit rule [tex]a_k=8+(k-1) 2[/tex] gives the number of stitches in the nth row. Which summation is equal to [tex]S_{20}[/tex], the number of stitches in the first 20 rows of the shawl? [tex]\sum_{k=1}^{20}(2+6 k)[/tex] [tex]\sum_{k=1}^{20}(2+8 k)[/tex] What is the first term of the arithmetic series? [tex]a_1=[/tex] $\square$