JY CHEN - Ask Anything, Learn Everything. Logo

Questions in mathematics

[Free] A rectangular prism with a volume of 400 cubic centimeters has the dimensions [tex]$x+1$[/tex] centimeters, [tex]$2x$[/tex] centimeters, and [tex]$x+6$[/tex] centimeters. The equation [tex]$2x^3+14x^2+12x=400$[/tex] can be used to find [tex]$x$[/tex]. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer. A. 4 centimeters B. 5 centimeters C. 8 centimeters D. 10 centimeters

[Free] A. Match the following numbers with their expanded form. Column A 1. 280 2. 309 3. 488 4. 734 5. 893 6. 969 7. 543 Column B 300 + 00 + 9 700 + 30 + 4 400 + 80 + 8 500 + 40 + 3 900 + 60 + 9 800 + 90 + 3 200 + 80 + 0 B. Write the following numbers in expanded form. 527 = 500 + 20 + 7

[Free] Round off the following numbers to the nearest 100. | Sr. No. | Numbers | Nearest 100 | |---------|---------|-------------| | 1. | 456 | | | 2. | 789 | | | 3. | 1123 | | | 4. | 999 | | | 5. | 1745 | | | 6. | 2501 | | | 7. | 3200 | | | 8. | 4567 | | | 9. | 9800 | | | 10. | 1234 | |

[Free] Given that x has a Poisson distribution with μ = 0.8, what is the probability that x = 1? P(1) ≈ (Round to four decimal places as needed.)

[Free] Which expression is equivalent to $(3 a+4 a b-7 b)-(a+2 a b-4 b)$?

[Free] Determine the combination of $GH \notin 20$ and GH $\not \subset 50$ notes to make GH $\not \subset 8,200$.

[Free] What values of $a$ and $b$ make the equation true? [tex]\sqrt{648}=\sqrt{2^a \cdot 3^b}[/tex] A. $a=3, b=2$ B. $a=2, b=3$ C. $a=3, b=4$ D. $a=4, b=3$

[Free] Which statements about the graph of the function $y=\left(\frac{1}{3}\right)^x$ are true? * The function is increasing. * The function is decreasing. * The $x$-intercept is $(1,0)$. * The $y$-intercept is $(0,1)$. * The range of the function is all real numbers.

[Free] Find the surface area obtained by revolving the curve [tex]$y=x^3+1$[/tex] between [tex]$(-1,0)$[/tex] and [tex]$(1,2)$[/tex] about the [tex]$x$[/tex]-axis. Round your answer to the nearest thousandth.

[Free] Consider the function represented by the equation $x-y=3$. What is the equation written in function notation, with $x$ as the independent variable? A. $f(x)=y+3$ B. $f(x)=-y-3$ C. $f(x)=-x+3$ D. $f(x)=x-3$