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Problem 16001

Fact family includes 3+9=123+9=12. Find the other three facts and draw models for them. Select from options A-H.

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Problem 16002

Determine the interval(s) where the particle defined by s(t)=2t3310t2+48ts(t)=\frac{2 t^{3}}{3}-10 t^{2}+48 t is slowing down.

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Problem 16003

Determine if the lines 8x+6y=88 x+6 y=8, 4y=3x+54 y=-3 x+5, and y=34x+7y=-\frac{3}{4} x+7 are parallel, perpendicular, or neither.

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Problem 16004

 : (2) (2) xlnx>0\begin{array}{l} \text { : (2) (2) } \\ x-\ln x>0 \end{array} lnln(gc):f(x)=lnxxlnx:x>0 3-3h11 f(0)=1\begin{array}{l} \ln \ln \left(g_{c}\right): f(x)=\frac{\ln x}{x-\ln x}: x>0 \\ \text { 3-3h11 } f(0)=-1 \end{array} limx+f(x) با. \begin{array}{l} \lim _{x \rightarrow+\infty} f(x) \text { با. } \end{array} f(x)=1lnx(xlnx)2\begin{array}{l} f^{\prime}(x)=\frac{1-\ln x}{(x-\ln x)^{2}} \end{array}  المحدادل \begin{array}{l} \text { المحدادل } \end{array}

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Problem 16005

Fill in the information about the parabolas below. (a) For each parabola, choose whether it opens upward or downward. y=x2: (Choose one) vy=13x2: (Choose one) vy=12x2: (Choose one) v (Choose one) vy=-x^{2}: \text { (Choose one) } v y=-\frac{1}{3} x^{2}: \text { (Choose one) } v \quad y=\frac{1}{2} x^{2}: \text { (Choose one) } v \text { (Choose one) } v (b) Choose the parabola with the narrowest graph. y=x2y=-x^{2} y=13x2y=-\frac{1}{3} x^{2} y=12x2y=\frac{1}{2} x^{2} y=3x2y=-3 x^{2} (c) Choose the parabola with the widest graph. y=x2y=-x^{2} y=13x2y=-\frac{1}{3} x^{2} y=12x2y=\frac{1}{2} x^{2} y=3x2y=-3 x^{2}

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Problem 16006

How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
A 0 (B) 1 (C) 2 (D) 3

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Problem 16007

The table shows some information about the profit made each day at a cricket club on 100 days. (a) Complete the cumulative frequency table. \begin{tabular}{|c|c|} \hline Pront (£x) & \begin{tabular}{c} Crmulative \\ frequency \end{tabular} \\ \hline 0x<500 \leq x<50 & \\ \hline 0x<1000 \leq x<100 & \\ \hline 0x<1500 \leq x<150 & \\ \hline 0x<2000 \leq x<200 & \\ \hline 0x<2500 \leq x<250 & \\ \hline 0x<3000 \leq x<300 & \\ \hline \end{tabular} (b) On the grid, draw a cumulative frequency graph for this information. \begin{tabular}{|c|c|} \hline Proft ( £x)£ x) & Frequency \\ \hline 0x<500 \leq x<50 & 10 \\ \hline 50x<10050 \leq x<100 & 15 \\ \hline 100x<150100 \leq x<150 & 25 \\ \hline 150x<200150 \leq x<200 & 30 \\ \hline 200x<250200 \leq x<250 & 5 \\ \hline 250x<300250 \leq x<300 & 15 \\ \hline \end{tabular} (1) (2) (c) Use your graph to find an estimate for the number of days on which the profit was less than £125£ 125 days \qquad (d) Use your graph to find an estimate for the interquartile range.

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Problem 16008

f(x)=3x2+2x+3f(x)=-3 x^{2}+2 x+3
Round to the nearest hundredth if necessary. If there is more than one xx-intercept, separate them If applicable, click on "None". \begin{tabular}{|ll|} \hline vertex: & (II, \square \\ xx-intercept(s): & \square \\ \hline \end{tabular}

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Problem 16009

Find where the function f(x)=6xf(x)=|6-x| is not differentiable and explain the reason.

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Problem 16010

Determine the relationship (parallel, perpendicular, or neither) for the lines: y=4x+5y=4x+5, 4x16y=324x-16y=32, y=14x2y=-\frac{1}{4}x-2.

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Problem 16011

Determine if the lines y=43x5y=\frac{4}{3} x-5, 8x6y=68 x-6 y=6, and 3y=4x+73 y=4 x+7 are parallel, perpendicular, or neither.

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Problem 16012

Find δ\delta for ε=0.01\varepsilon=0.01 in the limit limx48x=32\lim _{x \rightarrow 4} 8 x=32.

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Problem 16013

Determine if the following lines are parallel, perpendicular, or neither: Line 1: 4x10y=84x - 10y = 8 Line 2: y=52x4y = -\frac{5}{2}x - 4 Line 3: 2y=5x+32y = -5x + 3

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Problem 16014

Find δ\delta so that if x2<δ|x-2|<\delta, then 4x8<0.9|4x-8|<0.9.

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Problem 16015

Find the fixed cost FF and variable cost VV from the cost function C(x)C(x) using points (0, 660), (31, 1343), (95, 2750).
F=V= \begin{array}{l} F= \\ V= \end{array}

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