Questions in mathematics

Questions in mathematics

📝 Answered - Over which interval is the graph of [tex]f(x)=-x^2+3 x+[/tex] 8 increasing? A. ( [tex]-\infty, 1.5[/tex] ) B. ( [tex]-\infty, 10.25[/tex] ) C. ([tex]1.5, \infty[/tex]) D. ([tex]10.25, \infty[/tex])

📝 Answered - What is $3 \ln 3-\ln 9$ expressed as a single natural logarithm? A. $\ln 3$ B. $\ln 6$ C. $\ln 18$ D. $\ln 27$

📝 Answered - \frac{(-2)^5 \times 2^3 \times(-2)^4}{2 \times(-2)^2 \times 2^2}

📝 Answered - For what value of [tex]$n$[/tex] does [tex]$\frac{216^n}{\left(\frac{1}{36}\right)^{3 n}}=216$[/tex]?

📝 Answered - A person is interning at the weather station. This week the low temperatures were 4°C, -8°C, 9°C, -7°C, -8°C, -2°C, -9°C. Determine the average low temperature for the week.

📝 Answered - Given two dependent random samples with the following results: | Population 1 | 35 | 34 | 45 | 30 | 49 | 25 | 34 | |---|---|---|---|---|---|---|---| | Population 2 | 44 | 24 | 40 | 42 | 38 | 31 | 43 | Use this data to find the $90 \%$ confidence interval for the true difference between the population means. Assume that both populations are norm Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.

📝 Answered - [tex]\sqrt{2 \cdot 3}[/tex]

📝 Answered - Find the limit, if it exists. (If an answer does not exist, enter DNE.) $\lim _{x \rightarrow-\infty} \frac{6 x^2}{x+5}$

📝 Answered - Graph the equation. $y=-4|x+5|$

📝 Answered - Jane is fencing in her backyard. The yard is a rectangular area where one side is the back of her house. The fence will go around only the other 3 sides. The side opposite the house is the same length as the house, which is 25 feet. Jane will use 120 feet of fencing. Which equation can Jane use to decide how long each of the other two sides of her fence can be? A. [tex]$x+25=120$[/tex] B. [tex]$x+x+25=120$[/tex]