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GitHub Action pushing new questions
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firasm committed Oct 13, 2023
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2 changes: 1 addition & 1 deletion content/public/001.Math/Algebra/Smudge/Smudge.md
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Expand Up @@ -47,7 +47,7 @@ part3:
label: $?= $
myst:
substitutions:
params_vars_name: Ximena
params_vars_name: Santiago
params_vars_title: Smudge
---
# {{ params_vars_title }}
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Expand Up @@ -30,18 +30,18 @@ part1:
myst:
substitutions:
params_vars_title: Vehicle Velocity
params_vars_vehicle: van
params_vars_vehicle: truck
params_vars_units: $m/s$
params_i_1: 2
params_i_2: 3
params_j_1: 10
params_j_2: 2
params_i_1: 3
params_i_2: 2
params_j_1: 8
params_j_2: 3
params_s: 2
params_part1_ans1_value: (5$\hat{\imath}$ + 43/2$\hat{\jmath}$)
params_part1_ans2_value: (5$\hat{\imath}$ + 24$\hat{\jmath}$)
params_part1_ans3_value: (2$\hat{\imath}$ + 21$\hat{\jmath}$)
params_part1_ans4_value: (2$\hat{\imath}$ + 43/2$\hat{\jmath}$)
params_part1_ans5_value: (5$\hat{\imath}$ + 21$\hat{\jmath}$)
params_part1_ans1_value: (10$\hat{\imath}$ + 34$\hat{\jmath}$)
params_part1_ans2_value: (10$\hat{\imath}$ + 36$\hat{\jmath}$)
params_part1_ans3_value: (8$\hat{\imath}$ + 28$\hat{\jmath}$)
params_part1_ans4_value: (8$\hat{\imath}$ + 34$\hat{\jmath}$)
params_part1_ans5_value: (10$\hat{\imath}$ + 28$\hat{\jmath}$)
---
# {{ params_vars_title }}
A {{ params_vars_vehicle }}'s position as a function of time is given by $\vec{r} =$ ({{ params.i_1 }}$t^2 -$ {{ params.i_2 }}$t)\hat{\imath} + ($ {{ params.j_1 }}$t^{-1}+$ {{ params.j_2 }} $t^3)\hat{\jmath}$ where $\vec{r}$ is in meters and $t$ is in seconds.
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Expand Up @@ -31,12 +31,12 @@ myst:
substitutions:
params_vars_title: Velocity to Acceleration
params_vars_units: $m/s^2$
params_c: 1.7
params_t: 9
params_part1_ans1_value: 0.0047
params_part1_ans2_value: -0.0047
params_part1_ans3_value: -0.021
params_part1_ans4_value: 0.021
params_c: 0.8
params_t: 10
params_part1_ans1_value: 0.0016
params_part1_ans2_value: -0.0016
params_part1_ans3_value: -0.008
params_part1_ans4_value: 0.008
params_part1_ans5_value: The acceleration is 0
---
# {{ params_vars_title }}
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Expand Up @@ -30,10 +30,10 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic01
params_part1_ans1_value: 2.4E57
params_part1_ans2_value: 3.4E5
params_part1_ans3_value: 1262.71129447127
params_part1_ans4_value: '7.8E-24'
params_part1_ans1_value: 1.9E61
params_part1_ans2_value: 8.8E3
params_part1_ans3_value: 415.95885165947254
params_part1_ans4_value: '9.7E-42'
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,12 +31,12 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic02
params_x: 375.6555
params_sf: 2
params_part1_ans1_value: 380.0
params_part1_ans2_value: 380.1
params_part1_ans3_value: 375.66
params_part1_ans4_value: 370.0
params_x: 253.87212695
params_sf: 6
params_part1_ans1_value: 253.872
params_part1_ans2_value: 253.972
params_part1_ans3_value: 253.872127
params_part1_ans4_value: 243.872
---
# {{ params_vars_title }}

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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic03
params_vars_formula: 7x + -2 > -1x + 7
params_part1_ans1_value: x > 9/8
params_part1_ans2_value: x < 9/8
params_part1_ans3_value: x < 8/9
params_part1_ans4_value: x > 8/9
params_vars_formula: 10x + 6 > -4x + 8
params_part1_ans1_value: x > 1/7
params_part1_ans2_value: x < 1/7
params_part1_ans3_value: x < 7
params_part1_ans4_value: x > 7
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,13 +31,13 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic05
params_expr: $\dfrac{x}{4}$
params_num2: 9
params_num3: 3
params_part1_ans1_value: 108
params_part1_ans2_value: 9/4
params_part1_ans3_value: 12
params_part1_ans4_value: 27/4
params_expr: $\dfrac{x}{7}$
params_num2: 6
params_num3: 4
params_part1_ans1_value: 168
params_part1_ans2_value: 6/7
params_part1_ans3_value: 28
params_part1_ans4_value: 24/7
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic06
params_eq: $\dfrac{x-1}{x-8}$ = $ \dfrac{x+1}{x+6}$
params_part1_ans1_value: -47/16
params_part1_ans2_value: -1/6
params_part1_ans3_value: -47/2
params_part1_ans4_value: -1/8
params_eq: $\dfrac{x-1}{x-8}$ = $ \dfrac{x+2}{x+5}$
params_part1_ans1_value: -19/8
params_part1_ans2_value: -11/10
params_part1_ans3_value: '-19'
params_part1_ans4_value: 1/8
params_part1_ans5_value: ''
params_part1_ans6_value: None of the above
---
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Expand Up @@ -31,12 +31,12 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic07
params_formula1: 2x - 7y = 20
params_formula2: 1x + 2y = 24
params_part1_ans1_value: ' x =208/11, y =28/11'
params_part1_ans2_value: ' x =28/11, y =208/11'
params_part1_ans3_value: ' x =-208/11, y =-28/11'
params_part1_ans4_value: ' x =-28/11, y =-208/11'
params_formula1: 3x - 4y = 5
params_formula2: 3x + 2y = 35
params_part1_ans1_value: ' x =25/3, y =5'
params_part1_ans2_value: ' x =5, y =25/3'
params_part1_ans3_value: ' x =-25/3, y =-5'
params_part1_ans4_value: ' x =-5, y =-25/3'
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -32,11 +32,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic08
params_expr: $\dfrac{81x + 54y }{ 9 }$
params_part1_ans1_value: $9 x + 6 y$
params_part1_ans2_value: $\dfrac{9x + 6y}{9}$
params_part1_ans3_value: $6x + 9y$
params_part1_ans4_value: $81x + 54y$
params_expr: $\dfrac{-49x - 14y }{ 7 }$
params_part1_ans1_value: $- 7 x - 2 y$
params_part1_ans2_value: $\dfrac{-7x - 2y}{7}$
params_part1_ans3_value: $-2x - 7y$
params_part1_ans4_value: $-49x - 14y$
params_part1_ans5_value: Don't know.
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic09
params_expr: $b$ = $\dfrac{(d)}{(a + 10y)} $
params_part1_ans1_value: a = ${ - 10 y + \frac{d}{b}}$
params_part1_ans2_value: a = ${\frac{10 b y}{d}}$
params_part1_ans3_value: a = ${\frac{d}{10 b y}}$
params_part1_ans4_value: a = ${\frac{b - 10 y}{d}}$
params_expr: $c$ = $\dfrac{(q)}{(p - 4a)} $
params_part1_ans1_value: p = ${ 4 a + \frac{q}{c}}$
params_part1_ans2_value: p = ${- \frac{4 a c}{q}}$
params_part1_ans3_value: p = ${- \frac{q}{4 a c}}$
params_part1_ans4_value: p = ${\frac{4 a + c}{q}}$
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,14 +31,14 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic10
params_a: -6
params_b: '5'
params_b_sign: ' - '
params_c: 2
params_part1_ans1_value: x = - 8/5
params_part1_ans2_value: x = 8/5
params_part1_ans3_value: x = 13
params_part1_ans4_value: x = 1
params_a: -5
params_b: '12'
params_b_sign: ' + '
params_c: -14
params_part1_ans1_value: x = - 9/12
params_part1_ans2_value: x = 9/12
params_part1_ans3_value: x = -21
params_part1_ans4_value: x = -31
params_part1_ans5_value: This equation cannot be solved
---
# {{ params_vars_title }}
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Expand Up @@ -31,13 +31,13 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic11
params_a: 2
params_b: 10
params_c: 4
params_part1_ans1_value: x = -4.6, x = -0.44
params_part1_ans2_value: x = 4.6, x = 0.44
params_part1_ans3_value: x = 10, x = 4
params_part1_ans4_value: x = 2, x = 10
params_a: 3
params_b: 6
params_c: 1
params_part1_ans1_value: x = -1.8, x = -0.18
params_part1_ans2_value: x = 1.8, x = 0.18
params_part1_ans3_value: x = 6, x = 1
params_part1_ans4_value: x = 3, x = 6
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic12
params_expr: $9\over 9- x$ > $ 4$
params_part1_ans1_value: (27/4 < x) & (x < 9)
params_part1_ans2_value: (27/4 > x) & (x > 9)
params_part1_ans3_value: x > 9/4
params_part1_ans4_value: (320/9 < x) & (x < 36)
params_expr: $9\over 9- x$ > $ 7$
params_part1_ans1_value: (54/7 < x) & (x < 9)
params_part1_ans2_value: (54/7 > x) & (x > 9)
params_part1_ans3_value: x > 9/7
params_part1_ans4_value: (560/9 < x) & (x < 63)
params_part1_ans5_value: Do not know
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic13
params_expr: $\dfrac{z^9 }{z^5} $
params_part1_ans1_value: $z^{4}$
params_part1_ans2_value: $z^{-4}$
params_part1_ans3_value: 4z
params_part1_ans4_value: (9/5)z
params_expr: $\dfrac{z^9 }{z^6} $
params_part1_ans1_value: $z^{3}$
params_part1_ans2_value: $z^{-3}$
params_part1_ans3_value: 3z
params_part1_ans4_value: (3/2)z
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic14
params_expr: $x^{ -7\over 2}$
params_part1_ans1_value: \begin{equation}\frac{1}{\sqrt{x^{7}}}\end{equation}
params_part1_ans2_value: \begin{equation}\sqrt{x^{7}}\end{equation}
params_part1_ans3_value: \begin{equation}x^{\frac{7}{2}}\end{equation}
params_part1_ans4_value: \begin{equation}- \frac{1}{\sqrt{x^{7}}}\end{equation}
params_expr: $x^{ -7\over 8}$
params_part1_ans1_value: \begin{equation}\frac{1}{\sqrt[8]{x^{7}}}\end{equation}
params_part1_ans2_value: \begin{equation}\sqrt[8]{x^{7}}\end{equation}
params_part1_ans3_value: \begin{equation}x^{\frac{7}{8}}\end{equation}
params_part1_ans4_value: \begin{equation}- \frac{1}{\sqrt[8]{x^{7}}}\end{equation}
params_part1_ans5_value: Do not know
---
# {{ params_vars_title }}
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Expand Up @@ -27,11 +27,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic15
params_expr: $3^{2} $=$ 9$
params_part1_ans1_value: $log_39 = 2$
params_part1_ans2_value: $log_32 = 9$
params_part1_ans3_value: $log_92 = 3$
params_part1_ans4_value: $log_29 = 3$
params_expr: $4^{6} $=$ 4096$
params_part1_ans1_value: $log_44096 = 6$
params_part1_ans2_value: $log_46 = 4096$
params_part1_ans3_value: $log_40966 = 4$
params_part1_ans4_value: $log_64096 = 4$
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -30,12 +30,12 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic17
params_a: 2
params_b: 3
params_part1_ans1_value: $e^{3} e^{2 y}$
params_part1_ans2_value: $e^{2 y} + e^{2}$
params_part1_ans3_value: $2 e^{2} e^{y}$
params_part1_ans4_value: $3 e^{2 y}$
params_a: 4
params_b: 10
params_part1_ans1_value: $e^{10} e^{4 y}$
params_part1_ans2_value: $e^{4 y} + e^{4}$
params_part1_ans3_value: $4 e^{4} e^{y}$
params_part1_ans4_value: $10 e^{4 y}$
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -31,11 +31,11 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic19
params_a: $ \sin262$
params_part1_ans1_value: $\sin{-98}$
params_part1_ans2_value: $\sin{98}$
params_part1_ans3_value: $\sin{83}$
params_part1_ans4_value: $\sin{-83}$
params_a: $ \sin212$
params_part1_ans1_value: $\sin{-148}$
params_part1_ans2_value: $\sin{148}$
params_part1_ans3_value: $\sin{33}$
params_part1_ans4_value: $\sin{-33}$
params_part1_ans5_value: Don't Know
---
# {{ params_vars_title }}
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Expand Up @@ -30,12 +30,12 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic22
params_denom: 6
params_formula: $\cos{\left(\frac{x}{6} \right)}$
params_part1_ans1_value: ${6 \sin{\left(\frac{x}{6} \right)}}$
params_part1_ans2_value: ${- 6 \sin{\left(\frac{x}{6} \right)}}$
params_part1_ans3_value: ${12 \sin{\left(\frac{x}{6} \right)}}$
params_part1_ans4_value: ${3 \sin{\left(\frac{x}{6} \right)}}$
params_denom: 10
params_formula: $\cos{\left(\frac{x}{10} \right)}$
params_part1_ans1_value: ${10 \sin{\left(\frac{x}{10} \right)}}$
params_part1_ans2_value: ${- 10 \sin{\left(\frac{x}{10} \right)}}$
params_part1_ans3_value: ${20 \sin{\left(\frac{x}{10} \right)}}$
params_part1_ans4_value: ${5 \sin{\left(\frac{x}{10} \right)}}$
---
# {{ params_vars_title }}

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Expand Up @@ -27,14 +27,14 @@ part1:
myst:
substitutions:
params_vars_title: Math Diagnostic23
params_a: 7
params_b: 7
params_formula: $x^{7} \sin{\left(7 x \right)}$
params_part1_ans1_value: $7 x^{7} \cos{\left(7 x \right)} + 7 x^{6} \sin{\left(7
params_a: 5
params_b: 5
params_formula: $x^{5} \cos{\left(5 x \right)}$
params_part1_ans1_value: $- 5 x^{5} \sin{\left(5 x \right)} + 5 x^{4} \cos{\left(5
x \right)}$
params_part1_ans2_value: $7 x^{7} \cos{\left(7 x \right)} $
params_part1_ans3_value: $ 7 x^{6} \cos{\left(7 x \right)}$
params_part1_ans4_value: $- 7 x^{7} \sin{\left(7 x \right)} + 7 x^{6} \cos{\left(7
params_part1_ans2_value: $- 5 x^{5} \sin{\left(5 x \right)} $
params_part1_ans3_value: $ 5 x^{4} \sin{\left(5 x \right)}$
params_part1_ans4_value: $5 x^{5} \cos{\left(5 x \right)} + 5 x^{4} \sin{\left(5
x \right)}$
params_part1_ans5_value: Don't Know
---
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