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Questions in mathematics

📝 Answered - How many hundreds are there in one hundred thousand? How many thousands are there in one million? Make any two 6-digit numbers and find the difference. Find the sum of the smallest and greatest 4-digit number. Multiply the greatest 6-digit number by the greatest 2-digit number. Identify the rule for the pattern and find the next four terms: 52, 47, 42.

📝 Answered - Factory M has printed 650 books and prints 50 new books every week. Factory N has printed 200 books and prints 100 books every week. How many weeks (w) will it be before Factory N has printed as many books (b) as Factory M? [tex] \begin{array}{c} b=50 w+650 \\ b=100 w+200 \end{array} [/tex] weeks

📝 Answered - Is the number of gallons of water in the bathtub a function of time? A. Yes because each [tex]$t$[/tex] value is paired with exactly one number of gallons. B. Yes because the number of gallons is bounded between [tex]$y=0$[/tex] and [tex]$y=36$[/tex]. C. No because each number of gallons is paired with more than one [tex]$t$[/tex] value. D. No because from [tex]$t=5$[/tex] to [tex]$t=20$[/tex] the number of gallons of water is constant.

📝 Answered - How are the graphs of the functions [tex]$f(x)=\sqrt{16}^x$[/tex] and [tex]$g(x)=\sqrt[3]{64}^x$[/tex] related? A. The functions [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] are equivalent. B. The function [tex]$g(x)$[/tex] increases at a faster rate. C. The function [tex]$g(x)$[/tex] has a greater initial value. D. The function [tex]$g(x)$[/tex] decreases at a faster rate.

📝 Answered - Find the sum. $17 x^3+\left(3 x+8 x^3\right)=$ A. $28 x^3$ B. $28 x^7$ C. $25 x^3+3 x$ D. $26 x^3+3 x$

📝 Answered - Solve each equation. Check your solutions. 17. [tex]$9 a^2=81$[/tex] 18. [tex]$2 b^2=66$[/tex] 19. [tex]$c^2-10=90$[/tex] 20. [tex]$d^2+16=60$[/tex] 21. [tex]$m^2=72$[/tex] 22. [tex]$n^2=169$[/tex] 23. [tex]$(j+5)^2=20$[/tex] 24. [tex]$(p-15)^2=121$[/tex] 25. [tex]$(x-2)^2=16$[/tex] 26. [tex]$(y+18)^2=77$[/tex]

📝 Answered - Find the area of the trapezoid. Area of a trapezoid: [tex]A=[?] cm^2[/tex] [tex]\frac{\left(b_1+b_2\right)}{2} \cdot h[/tex]

📝 Answered - Select the correct answer. Estimate the value of [tex]$\frac{\sqrt{2} \pi}{\sqrt{5}}$[/tex] A. 0.33 B. 0.50 C. 0.67 D. 2.0

📝 Answered - Use L'Hospital to determine the following limit. Use exact values. [tex]\lim _{x \rightarrow 0^{+}}(1+\sin (5 x))^{\frac{1}{x}}=\square[/tex]

📝 Answered - Add the following polynomial expressions: $\left(g^2-4 g^4+5 g+9\right)+\left(-3 g^3+3 g^2-6\right)$ 1. Rewrite terms that are subtracted as addition of the opposite. $g^2+\left(-4 g^4\right)+5 g+9+\left(-3 g^3\right)+3 g^2+(-6)$ 2. Group like terms. 3. Combine like terms. 4. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? A. $-7 g^4+4 g^3-3 g^2+5 g-3$ B. $-4 g^4-3 g^3+4 g^2+5 g+3$ C. $-4 g^4+4 g^2+14 g-6$ D. $-3 g^4+14 g-6$