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Questions in mathematics

📝 Answered - Choose two statements that are true for this expression. [tex]$5 x^3-6 x^2-\frac{25}{y}+18$[/tex] A. There are three terms. B. The term [tex]$-\frac{25}{y}$[/tex] is a ratio. C. There are four terms. D. The entire expression is a difference.

📝 Answered - Select the correct answer from each drop-down menu. Given: \(\triangle ABC\) with altitude \(h\). Two right triangles are formed: one with side lengths \(c+r, h\), and \(b\), and one with side lengths \(r, h\), and \(a\). Carson starts the proof of the law of cosines with \(\sin (A)=\frac{h}{b}\) by the definition of the sine ratio and \(\cos (A)=\frac{(c+r)}{b}\) by the definition of the cosine ratio. What are the next steps in the proof? Use the substitution property of equality to rewrite each trigonometric equation in terms of the numerator. Then, Carson can write an expression for side [ ] in terms of [ ]. Next, he can use the [ ] to relate \(a, b, c\), and \(A\).

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

📝 Answered - The premium for overnight shipping is 100%. What is the cost to ship 1,800 lbs of goods from Atlanta to Louisville (390 miles) using overnight shipping? | Distance (miles) | 0-200 | 201-400 | 401-600 | 601-800 | 801-1000 | | :--------------- | :---- | :------ | :------ | :------ | :------- | | Price per 100 lbs | $100 | $120 | $200 | $240 | $400 | $[?]

📝 Answered - What is the main purpose of regression analysis? Select one answer option below. A. to classify data into different groups B. to predict future outcomes based on past data C. to find a relationship between two or more variables D. to identify patterns in the data

📝 Answered - Multiply and simplify. $\frac{y^2+4 y-21}{y^2+3 y-18} \cdot \frac{y^2-3 y-18}{y^2+10 y+21}$ The simplified product is $\square$ .

📝 Answered - Which statements about the graph of the function [tex]$f(x)=-x^2-4 x+2$[/tex] are true? Select three options. The domain is [tex]$\left\{x \mid x \leq-2\right\}$[/tex]. The range is [tex]$\left\{y \mid y \leq 6\right\}$[/tex]. The function is increasing over the interval ([tex]$-\infty,-2$[/tex]). The function is decreasing over the interval ([tex]$\left(-4, \infty\right)$[/tex]). The function has a positive [tex]$y$[/tex]-intercept.

📝 Answered - A right triangle and a circle overlap on the coordinate plane. The three coordinates of the triangle are (0, 0), (r, 0), and (r, y), where r and y are positive constants, and the circle has a radius of r with a center at the origin. What is the length, in units, of the segment of the hypotenuse of the triangle that is outside the circle?

📝 Answered - Substances sometimes shrink when they dry. A silicone sheet dried and over time shrank $-\frac{6}{11}$ inch for every linear foot. Which repeating decimal is equivalent to $-\frac{6}{11}$ ? A. $-0 . \overline{54}$ B. $-054$ C. $-0.54$ D. $-0.8 \overline{3}$

📝 Answered - Which of the following can be used to evaluate the series [tex]$\sum_{n=1}^5 6(0.6)^{n-1} ?$[/tex] A. [tex]$0.6\left(\frac{1-(6)^5}{1-0.6}\right)$[/tex] B. [tex]$0.6\left(\frac{1-(6)^5}{1-6}\right)$[/tex] C. [tex]$6\left(\frac{1-(0.6)^5}{1-0.6}\right)$[/tex] D. [tex]$6\left(\frac{1-(0.6)^6}{1-6}\right)$[/tex]