Questions in mathematics

Questions in mathematics

📝 Answered - Complete the table to investigate dilations of exponential functions. | x | 2^x | 3 \cdot 2^x | 2^{3x} | | --- | --- | ----------- | ------ | | -2 | 1/4 | 3/4 | 1/64 | | -1 | 1/2 | 3/2 | 1/8 | | 0 | a | b | c | | 1 | d | e | f | | 2 | 4 | 12 | 64 | Which function represents a vertical stretch of an exponential function? y=2^x y=3 \cdot 2^x y=2^{3x}

📝 Answered - Solve the equation: $-x+8+3x=x-6$

📝 Answered - Simplify. 32. $9+\left[4-(10-9)^2\right]^3$

📝 Answered - Convert 2.75 in to cm

📝 Answered - The equation $\frac{y^2}{8^2}-\frac{x^2}{b^2}$ represents a hyperbola centered at the origin with a focus of $(0,-10)$. What is the value of $b$? A. 4 B. 6 C. 10 D. 12

📝 Answered - [tex]$\int_1^4\left(\frac{k+2}{\sqrt{k}}\right) d k$[/tex]

📝 Answered - Rajan borrowed a loan of 10,000 from Ram for 2 years at the rate of 10% simple interest. Immediately, Rajan lent the same sum for the same rate of interest compounded annually to Sham. i) According to the given context, which interest is more among simple interest and compound interest for two years? ii) How much profit did Rajan get during the transaction of two years? iii) How much more interest should Sham need to pay to Rajan if Rajan had lent the amount at semi-annually compounded interest?

📝 Answered - Which is a stretch of an exponential growth function? $f(x)=\frac{2}{3}\left(\frac{2}{3}\right)^x$ $f(x)=\frac{3}{2}\left(\frac{2}{3}\right)^x$ $f(x)=\frac{3}{2}\left(\frac{3}{2}\right)^x$ $f(x)=\frac{2}{3}\left(\frac{3}{2}\right)^x$

📝 Answered - Fill in the blank to complete the fundamental identity. [tex]$\sin ^2 \theta+\cos ^2 \theta=$[/tex]

📝 Answered - Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A group of friends are ordering food. The total amount that they can spend on their food bill is $[tex]$41$[/tex], including the delivery charge of $[tex]$6$[/tex]. The equation below represents the situation, where [tex]$x$[/tex] is the cost of each friend's meal. [tex]$6+ax=41$[/tex] The cost of each friend's meal in terms of [tex]$a$[/tex] is [ ] . The cost of each friend's meal when the number of friends is 5 is $[tex]$[/tex] [ ] .