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Questions in mathematics

[Answered] The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first? $x + 2 \longdiv { x ^ { 3 } + 3 x ^ { 2 } + x }$ A. $x+3$ B. $x^2+x+2$ C. $x^3+2 x^2$ D. $x^2+3 x$

[Answered] Answer the following. Round your answers to the nearest hundredth. (a) Convert $-\frac{12 \pi}{19}$ radians to degree measure. (b) Convert -1.33 radians to degree measure.

[Answered] How many cups of food did each puppy eat? A. 4 cups B. 4.1 cups C. 4.2 cups D. [tex]$4 \overline{2}$[/tex] cups

[Answered] $1+\frac{24}{60}+\frac{51}{60^2}+\frac{10}{60^3}

[Answered] Find the limit. (Hint: Let [tex]$x=\frac{1}{t}$[/tex] and find the limit as [tex]$t \rightarrow 0^{+}$[/tex]. If an answer does not exist, enter DNE.) [tex]$\lim _{x \rightarrow \infty} 8 x \tan \left(\frac{9}{x}\right)$[/tex]

[Answered] Solve the system of equations: [tex] \begin{array}{l} y=2 x^2+12 x-22 \\ y=12 x+10 \end{array} [/tex] Write the coordinates in exact form. Simplify all fractions and radicals.

[Answered] The formula $A =19.6 e ^{0.0137}$ models the population of a US state, A, in millions, t years after 2000. Determine algebraically when the population was predicted to reach 25.9 million. The population of the state will reach 25.9 million in the year $\square$ (Round up to the nearest year.)

[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 normal. Step 4 of 4: Construct the $90 \%$ confidence interval. Round your answers to one decimal place.

[Answered] Calculate the gross earnings per pay period (in $) for the given pay schedule. (Round your answers to two decimal places.) | Annual Salary | Monthly | Semimonthly | Biweekly | Weekly | |---------------|---------|-------------|----------|--------| | $45,500 | $ [] | $ [] | $ [] | $ [] |

[Answered] Simplify. $\frac{\frac{1}{4}-\frac{1}{y^2}}{\frac{1}{2}+\frac{1}{y}}$