UpStudy - Your Best AI Study Buddy
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(c) Se te da el punto \( (3,2) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal quer \( >0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal que \( r<0 \mathrm{y} 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
Pre Calculus
(a) Las coordenadas cartesianas de un punto son \( (1,1) \).
(i) Encontrar coordenadas polares \( (r, \theta) \) del punto, donde
\( r>0 \) Y0 \( \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encontrar coordenadas polares \( (r, \theta) \) del punto, donde
\( r<0 \) Y0 \( \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(b) Las coordenadas cartesianas de un punto son \( (2 \sqrt{3},-2) \).
(i) Encontrar coordenadas polares \( (r, \theta) \) del punto, donde
\( r>0 \) Y0 \( \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encontrar coordenadas polares \( (r, \theta) \) del punto, donde
\( r<0 Y 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
Geometry
\( 2.1 f(x)=x^{2}+2 x-15 \) on \( [0,5] ; k=9 \)
\( 2.2 f(x)=x^{3}-8 \) on \( [1,3] ; k=0 \)
3. Use the Intermediate Value Theorem for contimous fumetions to shou that the equations have at least one real solution on the giveu interval.
\( 3.1 x^{4}+x-3=0 \) on \( [1,2] \)
\( 3.2 x^{5}-x^{2}+2 x=1 \) on \( [0,1] \)
Calculus
(a) Se te da el punto \( (1, \pi / 2) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal quer \( >0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal quer \( <0 \mathrm{y} 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(b) Se te da el punto \( (-2, \pi / 4) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal quer \( >0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal quer \( <0 \mathrm{y}-2 \pi \leq \theta<0 \).
\( r=\square \)
\( \theta=\square \)
Trigonometry
(a) Se te da el punto \( (1, \pi / 2) \) en coordenadas polares.
(i) Encuentra otro par de coordenadas polares para este
punto de tal manera que \( >0 \mathrm{Y} 2 \pi \leq \theta<4 \pi \).
\( r=1 \)
\( \theta=\frac{5 \pi}{2} \)
(ii) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( <0 \mathrm{Y} 0 \leq \theta<2 \pi \).
\( r=1 \)
\( \theta=\frac{3 \pi}{2} \)
Trigonometry
La medida de cada ángulo interno de un polígono regular es \( 160^{\circ} \). Hallar el número de lados.
Número de lados \( =\square \)
Geometry
La medida de cada ángulo interno de un poligono regular es \( 120^{\circ} \). Hallar el número de lados.
Geometry
(c) Se te da el punto \( (3,2) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal quer \( >0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal que \( r<0 \mathrm{y} 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
Pre Calculus
(b) Se te da el punto \( (-2, \pi / 4) \) en coordenadas polares.
(i) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( >0 Y 2 \pi \leq \theta<4 \pi \).
\( r=2 \)
\( \theta=\frac{13 \pi}{4} \)
(ii) Encuentra otro par de coordenadas polares para este
punto de tal manera que \( <0 Y-2 \pi \leq \theta<0 \).
\( r=2 \)
\( \theta=\frac{7 \pi}{4} \)
Trigonometry
La medida de cada ángulo interno de un polígono regular es \( 135^{\circ} \). Hallar el número de lados.
Número de lados \( =\square \)
Geometry
Two plane \( A \) and \( B \) are flying al
the same altitute, if their velocity a
Va= \( 500 \mathrm{~km} / \mathrm{hr} \) and \( V B=700 \mathrm{~km} / \mathrm{hr} \).
such that the angle between their
straight line causes is \( \theta=60^{\circ} \).
Determine the valocity of plane \( B \)
with bespect plane \( A \).
Trigonometry
(C) Se te da el punto \( (3,2) \) en coordenadas polares.
(i) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( >0 \mathrm{Y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( <0 \mathrm{Y} 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
Geometry
(a) Se te da el punto \( (1, \pi / 2) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal quer \( >0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal quer \( <0 \mathrm{y} 0 \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(b) Se te da el punto \( (-2, \pi / 4) \) en coordenadas polares.
(i) Encuentre otro par de coordenadas polares para este
punto tal que \( r>0 \mathrm{y} 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentre otro par de coordenadas polares para este
punto tal que \( r<0 \mathrm{y}-2 \pi \leq \theta<0 \).
\( r=\square \)
Trigonometry
The graph of the function
\( y=f(x)+81 \)
can be obtained from the graph of
\( y=f(x) \)
by one of the following actions:
shifting the graph of \( f(x) \) to the left 81 units
shifting the graph of \( f(x) \) upwards 81 units
shifting the graph of \( f(x) \) to the right 81 units
shifting the graph of \( f(x) \) downwards 81 units
Pre Calculus
The graph of the function
\( y=f(x+65) \)
can be obtained from the graph of
\( y=f(x) \)
by one of the following actions:
Oshifting the graph of \( f(x) \) to the left 65 units
Shifting the graph of \( f(x) \) upwards 65 units
shifting the graph of \( f(x) \) to the right 65 units
shifting the graph of \( f(x) \) downwards 65 units
Question Help: Video
Pre Calculus
Para cada conjunto de coordenadas cartesianas \( (x, y) \),
coincida con el conjunto equivalente de coordenadas
polares \( (r, \theta) \), con0 \( \leq \theta \leq \pi \)
1. \( (-10,4.4) \)
2. \( (-5.8,3.5) \)
3. \( (-8,9,0,1) \)
4. \( (4,9.9) \)
A. \( (10.9252,2.7271) \)
B. \( (10.6775,1.1868) \)
DO. \( (6.7742,2.5986) \)
D. \( (8.9006,3.1304) \)
Trigonometry
(a) Se te da el punto \( (1, \pi / 2) \) en coordenadas polares.
(i) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( >0 Y 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( <0 \) Y0 \( \leq \theta<2 \pi \).
\( r=\square \)
\( \theta=\square \)
(b) Se te da el punto \( (-2, \pi / 4) \) en coordenadas polares.
(i) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( >0 Y 2 \pi \leq \theta<4 \pi \).
\( r=\square \)
\( \theta=\square \)
(ii) Encuentra otro par de coordenadas polares para este
punto de tal manera quer \( <0 Y-2 \pi \leq \theta<0 \).
\( r=\square \)
Trigonometry
Convierte las coordenadas polares a cartesianas. Da
respuestas exactas.
A. \( (4, \pi / 2)=(\square) \)
B. \( (3,5 \pi / 3)=(\square) \)
Pre Calculus
Hallar la medida de cada ángulo interno y cada ángulo externo de un hexágono regúlar (polígono de seis lados).
\begin{tabular}{|ll|}\hline Medida de cada ángulo interno \( = \) & \( \square^{\circ} \) \\ Medida de cada ángulo externo \( = \) & \( \square^{\circ} \)\end{tabular}
Geometry
Hallar la medida de cada ángulo interno y cada ángulo externo de un isodecágono regular (polígono de veinte lados).
Medida de cada ángulo interno \( = \)
\( \square \)
Geometry
Para cada conjunto de coordenadas cartesianas \( (x, y) \),
coincide con el conjunto equivalente de coordenadas polares
\( (r, \theta) \), con \( 0 \leq \theta \leq \pi \)
1. \( (5,7,6) \)
2. \( (7.4,2.1) \)
3. \( (6.5,6.4) \)
4. \( (3.7,4.4) \)
A. \( (7.6922,0.2765) \)
B. \( (5.7489,0.8716) \)
C. \( (9.1220,0.7776) \)
D. \( (9.0973,0.9889) \)
Geometry
8. En animales como la esponja, con una organización corporal sencilla, el oxigeno ingresa al cuerpo por mecanismos como la difusión. Sin embargo, en animales con una organización corporal más compleja como el ser humano, este mecanismo no es suficiente pues el oxigeno debe atravesar diversos tejidos y distribuirse a muchas células.
Una característica evolutiva de los animal la aparición de
A. la circulación incompleta.
B. la circulación de hemolinfa.
C. los sistemas circulatorios.
D. la circulación abierta.
Competencia: Uso comprensivo del conocimiento ce
Para
finalizar
Biology
Decide si los puntos dados en coordenadas polares son
iguales. Si lo son, escribe \( T \). Si son diferentes, escribe \( F \).
\( \square \) a.) \( \left(9, \frac{\pi}{3}\right),\left(-9, \frac{-\pi}{3}\right) \)
\( \square \) b. \( )\left(2, \frac{35 \pi}{4}\right),\left(2,-\frac{35 \pi}{4}\right) \)
\( \square \) do. \( )(0,9 \pi),\left(0, \frac{4 \pi}{4}\right) \)
\( \square \) d. \( )\left(1, \frac{53 \pi}{4}\right),\left(-1, \frac{\pi}{4}\right) \)
\( \square \) mi. \( )\left(6, \frac{32 \pi}{3}\right),\left(-6, \frac{-\pi}{3}\right) \)
\( \square \) F.) \( (9,5 \pi),(-9,5 \pi) \)
Trigonometry
6 A solid steel cube of side 8 cm is melted down and recast into six identical spheres. Find the radius of each of the six spheres.
Geometry
5 Find the radius of a spherical ball bearing that has a volume of \( 7.24 \mathrm{~cm}^{3} \).
Geometry
4 Calculate the perpendicular height of a cone that has a base radius 5 cm and a volume of \( 615 \mathrm{~cm}^{3} \).
Geometry
For each equation below, determine if the function is Odd, Even, or Neither
\( f(x)=\frac{2}{x} \) Select an answer \( \checkmark \)
\( g(x)=\sqrt{x} \) Select an answer \( \checkmark \)
\( h(x)=2 x^{4} \) Select an answer \( \checkmark \)
Submit Question
Pre Calculus
Find the range of the function: \( y=x^{2} \)
Pre Calculus
For each equation below, determine if the function is Odd, Even, or Neither
\( f(x)=(x-4)^{2} \) Select an answer \( \checkmark \)
\( g(x)=\frac{1}{x}+4 x \) Select an answer \( \checkmark \)
\( h(x)=4-x^{2} \) Select an answer \( \checkmark \)
Question Help:
Submit Question
Algebra
Question 1 / Vraag 1
(14)
Income Tax: Rates of Tax for Individuals / Inkomstebelasting: Belastingkoerse vir individue Search on the internet (SARS website) for the rates of tax for individuals, for the 2026 tax year (1 March 2025-28 February 2026). This information can be used to write income tax (T) as a function of taxable income \( (\boldsymbol{x}) \). Use this information to create a piecewise defined function \( \boldsymbol{T} \), using one independent variable \( \boldsymbol{x} \), to model the rates of tax for individuals. / Gaan soek op die internet (SARS/SAID webtuiste) vir die belastingkoerse vir individue, vir die 2026 belastingjaar (1 Maart 2025 28 Februarie 2026). Hierdie inligting kan gebruik word om inkomstebelasting ( \( T \) ) as ' \( n \) funksie van die belasbare inkomste ( \( \boldsymbol{x} \) ) te skryf. Gebruik hierdie inligting om 'n stuksgewys gedefinieerde funksie \( \boldsymbol{T} \) te ontwikkel, deur een onafhanklike veranderlike \( \boldsymbol{x} \) te gebruik, om die belastingkoerse vir individue te modelleer.
Question 2 / Vraag 2
(10)
The supply function for a commodity takes the form \( q^{s}(p)=a p^{2}+b p+c \), for some constants \( a, b, c \). When \( p=1 \), the quantity supplied is 5 ; when \( p=2 \), the quantity supplied is 12 ; when \( p=3 \), the quantity supplied is 23 . Use matrix reduction (Gaussian elimination) to determine the constants \( a, b, c \). Give the supply funcrtion. / Die aanbodfunksie vir ' n produk het die vorm \( q^{s}(p)=a p^{2}+b p+c \), vir die konstantes \( a, b, c \). As \( p=1 \), is die hoeveelheid wat verskaf is 5 ; wanneer \( p=2 \), is die hoeveelheid wat verskaf is 12 ; wanneer \( p=3 \), is die hoeveelheid wat verskaf is 23. Gebruik matriksreduksie (Gauss-eliminasie) en bepaal die konstantes \( a, b, c \). Skryf die aanbodfunksie neer.
Economics
QUESTION 10
Convert the decimal to a fraction and reduce, if necessary.
0.8
Arithmetic
QUESTION 9
Convert the decimal to a fraction and reduce, if necessary.
0.3
Pre Algebra
\( y = \sinh ( x ) \)
Pre Calculus
QUESTION 9 Convert the decimal to a fraction and reduce, if necessary.
Arithmetic
Find the range of the function: \( y=x^{2}-3 x \)
Pre Calculus
Question Completion Status:
QUESTION 8
Convert the fraction to a decimal: \( \frac{25}{50} \)
If the decimal is less than 1 , make sure to use a leading 0 .
\( \square \)
Arithmetic
QUESTION 6
Convert the fraction to a decimal: \( \frac{50}{80} \)
If the decimal is less than 1, make sure to use a leading 0.
QUESTION 7
Convert the decimal to a fraction and reduce, if necessary.
0.3
Arithmetic
QUESTION 5
Convert the mixed number to a decimal: \( 20 \frac{6}{15} \)
I I
Arithmetic
QUESTION 4
Convert the decimal to a fraction and reduce, if necessary.
0.35
QUESTION 5
Arithmetic
QUESTION 2
Convert the mixed number to a decimal: \( 2 \frac{1}{5} \)
QUESTION 3
Convert the decimal to a fraction and reduce, if necessary.
0.6
Arithmetic
QUESTION 1
Convert the decimal to a fraction and reduce, if necessary.
0.05
Pre Algebra
Convert the decimal to a fraction and reduce, if necessary.
Arithmetic
Question Completion Status:
QUESTION 6
Convert the decimal to a fraction and reduce, if necessary.
Arithmetic
QUESTION 5
Convert the decimal to a fraction and reduce, if necessary
0.2
Arithmetic
QUESTION 4
Convert the fraction to a decimal: \( \frac{7}{8} \)
If the decimal is less than 1, make sure to use a leading 0 .
Q
Arithmetic
\[
\text{Find } 2011^2 - 2010^2 \text{?}
\]
Algebra
QUESTION 2
Convert the decimal to a fraction and reduce, if necessary.
0.75
Arithmetic
Convert the decimal to a fraction and reduce, if necessary.
0.25
Arithmetic
(d) \( \mathrm{U}_{(s)}^{(\mathrm{s})}+3 \mathrm{~F}_{2(g)} \xrightarrow{2 \mathrm{H}_{(g)}} \mathrm{UF}_{6(s)} \)
Question \#5
The gold-198 isotope is used in the treatment of brain, prostate, and ovarian cancer. Au-198 has a
half-life of 2.69 d . If a hospital needs to have 15 mg of \( \mathrm{Au}-198 \) on hand for treatments on a
Chemistry
Convierte las siguientes coordenadas polares en
coordenadas cartesianas. Da respuestas exactas.
A. \( (4,7 \pi / 6)=(\square) \)
B. \( (2,2 \pi / 3)=(\square) \)
Pre Calculus
Decide si los puntos dados en las coordenadas polares son
los mismos. Si son iguales, introduce \( T \). Si son diferentes,
introduzca \( F \).
\( \square \) A. \( )\left(9, \frac{\pi}{3}\right),\left(-9, \frac{-\pi}{3}\right) \)
\( \square \) B. \( )\left(2, \frac{27 \pi}{4}\right),\left(2,-\frac{27 \pi}{4}\right) \)
\( \square \) C. \( )(0,9 \pi),\left(0, \frac{3 \pi}{4}\right) \)
D. \( )\left(1, \frac{45 \pi}{4}\right),\left(-1, \frac{\pi}{4}\right) \)
\( \square \) E. \( )\left(5, \frac{74 \pi}{3}\right),\left(-5, \frac{-\pi}{3}\right) \)
F.) \( (9,12 \pi),(-9,12 \pi) \)
Trigonometry
CHM 111: General Chemistry 1
2024/2025 Session
INSTRUCTION: Answer all questions
Question \# 1
An antacid tablet contains sodium hydrogen carbonate, \( \mathrm{NaHCO}_{3} \), and inert ingredient.
A 0.500 g sample of powdered tablet was mixed with 50.0 mL of 0.190 M HCl (hydrochloric acid). The mixture was allowed to stand until it reacted.
\( \mathrm{NaHCO}_{3(s)}+\mathrm{HCl}_{(a q)} \rightarrow \mathrm{NaCl}_{(a q)}+\mathrm{H}_{2} \mathrm{O}_{(l)}+\mathrm{CO}_{2(g)} \)
The excess hydrochloric acid was titrated with 47.1 mL of 0.128 M NaOH (sodium hydroxide).
\( \mathrm{HCl}_{(a q)}+\mathrm{NaOH}_{(a q)} \rightarrow \mathrm{NaCl}_{(a q)}+\mathrm{H}_{2} \mathrm{O}_{(l)} \)
What is the percentage of sodium hydrogen carbonate in the antacid?
Question \# 2
Arsenic acid, \( \mathrm{H}_{3} \mathrm{AsO}_{4} \), is a poisonous acid that has been used in the treatment of wood to prevent insect damage. Arsenic acid has three acidic protons. Say you take a \( 26.14-\mathrm{mL} \) sample of arsenic acid and prepare it for titration with NaOH by adding 25.00 mL of water. The complete neutralization of this solution requires the addition of 53.07 mL of 0.6441 M NaOH solution. Write the balanced chemical reaction for the titration, and calculate the molarity of the arsenic acid sample.
Question \# 3
Arrange the following substances ( 1 mole each) in order of increasing entropy at \( 25^{\circ} \mathrm{C} \). (a) \( \mathrm{Ne}_{(g)} \). (b) \( \mathrm{SO}_{2(g)} \), (c) \( \mathrm{Na}_{(s),} \), (d) \( \mathrm{NaCl}_{(s),} \), (e) \( \mathrm{H}_{2(g) .} \). Give the reasons for your arrangement.
Question \# 4
State whether the sign of the entropy change expected for each of the following processes will be positive or negative, and explain your predictions.
(a) \( \mathrm{PCl}_{3(l)}+\mathrm{Cl}_{2(g)} \rightarrow \mathrm{PCl}_{5(s)} \)
(b) \( 2 \mathrm{HgO}_{(s)} \rightarrow 2 \mathrm{Hg}_{(l)}+\mathrm{O}_{2(g)} \)
(c) \( \mathrm{H}_{2(g)} \quad \rightarrow \quad 2 \mathrm{H}_{(g)} \)
(d) \( \mathrm{U}_{(s)}+3 \mathrm{~F}_{2(\mathrm{~g})} \rightarrow \mathrm{UF}_{6(s)} \)
Chemistry
If \( X Y=48, X Z=36, J Q=7 \), and the radius of the circumscribed circle of \( \triangle X Y Z \) is 25 , find \( Q K \),
\( Q K=\square \)
(Simplify your answer. Round to one decimal place as neoded.)
Geometry
5) 14.038
i. Round to the nearest whole number.
ii. Round to the nearest tenth.
ii. Round to the nearest hundredth.
Arithmetic
If \( \mathrm{XY}=48, \mathrm{XZ}=36, \mathrm{JQ}=7 \), and the radius of the circumscribed circle of \( \triangle \mathrm{XYZ} \) is 25 , find QK .
\( \mathrm{QK}=\square \)
(Simplify your answer. Round to one decimal place as needed.)
Geometry
4) 9.716 i. Round to the nearest whole number.
ii. Round to the nearest tenth.
iii. Round to the nearest hundredth.
Arithmetic
3) 63.405
i. Round to the nearest whole number.
ii. Round to the nearest tenth.
iii. Round to the nearest hundredth.
Arithmetic
8.547
i. Round to the nearest whole number.
ii. Round to the nearest tenth.
iii. Round to the nearest hundredth.
Arithmetic
If \( X Y=30, X Z=26 \), and \( J Q=8 \), find the radius of the circumscribed circle of \( \triangle X Y Z \),
The radius of the circumscribed circle of \( \triangle X Y Z \) is
(Simplify your answer.)
Geometry
Solve for \( X \) in the equation, where
\[
\begin{array}{l}
A=\left[\begin{array}{lll}
-5 & 4 & 6 \\
-2 & 0 & 2
\end{array}\right] \text { and } B=\left[\begin{array}{rrr}
0 & 1 & -3 \\
4 & 0 & 2
\end{array}\right] \\
4 B=-2 X-2 A
\end{array}
\]
Step 1
The matrix equation is given as \( 4 B=-2 X-2 A \). The first step is to solve the equation for \( X \) just as in linear equations. Add \( 2 A \) to both sides of the equation and then divide both sides of the equation by -2 to solve for \( X \).
\[
(-2 \vee-2) B-A=X
\]
Step 2
\[
\left.x=(-1)\left[\begin{array}{lllll}
-5 & -5 & 4 & 4 & 6 \\
-2 & -2 & 0 & 0 & 2
\end{array}\right]+\left(\begin{array}{ll}
-2 & 0
\end{array}\right] \begin{array}{ll}
-2
\end{array}\right]\left[\begin{array}{lll}
0 & 1 & -3 \\
4 & 0 & 2
\end{array}\right]
\]
Step 3
Perform the scalar multiplication before the addition of matrices. Remember you can multiply a matrix by a scalar \( c \) by multiplying each entry in the matrix by \( c \).
Multiply each entry in \( A \) by \( (-1) \) and each entry in \( B \) by \( (-2) \).
\[
x=\left[\begin{array}{rrr}
5 & -4 & -6 \\
2 & 0 & -2
\end{array}\right]+\left[\begin{array}{lll}
\square & \square & \square \\
0 & 0 & \square \\
\square & \square
\end{array}\right]
\]
Algebra
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