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Homework
Part 1 of 6
Points: 0 of 1
Refer to the following statement to answer parts (a) through (c) below.
You did not mow the lawn or you left the room a mess.
a. Write the statement in symbolic form. Assign letters to simple statements that are not negated. Choose the correct answer below.
A. let \( p=y o u \) mowed the lawn and let \( q=y o u \) left the room a mess; \( \sim p \wedge q \)
B. let \( p=y o u \) did not mow the lawn and let \( q=y o u \) left the room a mess; \( \sim p \wedge q \)
C. let \( p= \) you mowed the lawn and let \( q=y o u \) left the room a mess; \( \sim p \vee q \)
D. let \( p=y o u \) did not mow the lawn and let \( q=y o u \) left the room a mess; \( \sim p \vee q \)
Other
The stopping distance for a car traveling 25 mph is 69.2 feet, and for a car traveling 40 mph
it is 112 feet. The stopping distance in feet can be described by the equation \( \mathrm{y}=\mathrm{ax} 2+\mathrm{bx} \),
where \( x \) is the speed in mph.
(a) Find the values of a and b .
(b) Use the answers from part (a) to find the stopping distance for a car traveling 60 mph .
\( \left[\begin{array}{ll|l}625 & 25 & 69.2 \\ 1600 & 40 & 112\end{array}\right] \)
(Type whole numbers.)
The value of a is \( \square \). The value of b is \( \square \).
(TvDe inteaers or decimals rounded to six decimal places as needed.)
Algebra
Ученик при изучении силы трения рассматривает скольжение деревя!
тх брусков массами \( m_{1}=m \) и \( m_{2}=9 m \) по горизонтальной поверхност
тношение сил трения \( \frac{F_{2}}{F_{1}} \), действующих на бруски, равно
\( \begin{array}{llll}\text { 1) } 1 & \text { 2) } 3 & \text { 3) } 9 & \text { 4) } 81\end{array} \)
Physics
The stopping distance for a car traveling 25 mph is 69.2 feet, and for a car traveling 40 mph
it is 112 feet. The stopping distance in feet can be described by the equation \( \mathrm{y}=\mathrm{ax}^{2}+\mathrm{bx} \),
where x is the speed in mph.
(a) Find the values of a and b .
(b) Use the answers from part (a) to find the stopping distance for a car traveling 60 mph .
(a) Write the augmented matrix that will be used to find the values of a and b .
\( [\square \square 69.2 \)
\( \square \)
(Type whole numbers.)
(Ty
Algebra
Solve for \( w \)
\[ -39=2(w+3)+3 w \]
Simplify your answer as much as possible.
Algebra
1. Что называется механической работой силы?
2. Запишите формулу для механической работы постоянной силы.
3. Как определить полную работу, если на тело действует несколько
сил?
4. Что такое мощность?
5. Запишите формулу для определения мощности (через силу и
скорость).
6. В каких единицах измеряются работа и мощность?
7. Запишите формулы для работы и мощности постоянного тока.
Physics
Roberto plantó 12 bulbos de narciso y 18 bulbos de tulipán en su jardín el invierno pasado. Si
todos los bulbos brotan y florecen esta primavera, ¿cuál será la proporción de tulipanes y
narcisos en el jardín de Robert? Expréselo como una proporción simplificada.
Arithmetic
\( \left. \begin{array} { l } { 102 ^ { x } - 2 ^ { y + 2 } = 0 } \\ { x ^ { 2 } + 2 x y + y ^ { 2 } = 36 } \end{array} \right. \)
Algebra
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each
case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each
case of Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat.
Each case of Brand C contains 275 units of fiber, 350 units of protein, and 310 units of
fat. Each case of Brand D contains 200 units of fiber, 260 units of protein, and 200 units
of fat. How many cases of each brand should the breeder mix together to obtain a food
that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat?
cases of Brand D. There are four ways in which the breeder can mix brands to obtain a
food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat.
If \( w=0 \), the solution is \( (0,15,9,0) \).
If \( w=1 \), the solution is \( (1,10,10,1) \).
If \( w=2 \), the solution is \( (2,5,11,2) \).
If \( w=3 \), the solution is \( (\square, \square, \square, 3) \).
Algebra
a) \( (\cos \theta+\sin \theta)^{2}=1-\sin 2 \theta \)
Trigonometry
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case
of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of
Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of
Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of
Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many
cases of each brand should the breeder mix together to obtain a food that provides 3975
units of fiber, 5100 units of protein, and 4440 units of fat?
Brand B, z represent the number of cases of Brand C, and \( w \) represent be the number of
cases of Brand D. There are four ways in which the breeder can mix brands to obtain a
food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat.
If \( w=0 \), the solution is \( (0,15,9,0) \).
If \( w=1 \), the solution is \( (1,10,10,1) \).
If \( w=2 \), the solution is \( (\square, \square, \square, 2) \).
Algebra
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case
of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of
Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of
Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of
Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many
cases of each brand should the breeder mix together to obtain a food that provides 3975
units of fiber, 5100 units of protein, and 4440 units of fat?
Let \( x \) represent the number of cases of Brand A, y represent the number of cases of
Brand B, z represent the number of cases of Brand C, and w represent be the number of
cases of Brand \( D \). There are four ways in which the breeder can mix brands to obtain a
food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat.
If \( w=0 \), the solution is \( (0,15,9,0) \).
If \( w=1 \), the solution is \( (\square, \square, \square, 1) \).
Algebra
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case
of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of
Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of
Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of
Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many
cases of each brand should the breeder mix together to obtain a food that provides 3975
units of fiber, 5100 units of protein, and 4440 units of fat?
Let x represent the number of cases of Brand A, y represent the number of cases of
Brand B, z represent the number of cases of Brand C, and w represent be the number of
cases of Brand D. There are four ways in which the breeder can mix brands to obtain a
food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat.
If \( w=0 \), the solution is \( (\square, \square, \square, 0) \).
Algebra
Cedric vive en un apartamento y paga los siguientes gastos cada mes: factura de electricidad
\( \$ 33.90 \); Servicio de transmisión de TV, \( \$ 24.99 \); y alquiler, \( \$ 538.95 \) Calcule sus gastos totales
para el mes redondeando primero cada valor a la decena más cercana.
Arithmetic
1. Balet jamoasida 96 kishi bor. Ularning \( \frac{3}{4} \) qismi "Uyqudagi
go'zal" baletida, \( \frac{5}{6} \) qismi "Qarsildoq" baletida qatnashadi. Qaysi
spektaklda ko'p va necha marta ko'p odam qatnashadi?
Arithmetic
An investor plans to put a total of \( \$ 110,000 \) in a money market account, a bond fund, an international
stock fund, and a domestic stock fund. She wants \( 60 \% \) of her investment to be conservative (money
market and bonds). The investor wants the amount in international stocks to be one-fourth the amount
in domestic stocks. Finally, the investor needs an annual return of \( \$ 4,400 \). Assuming the investor gets
annual returns of \( 2.5 \% \) on the money market account, \( 3.5 \% \) on the bond fund, \( 4 \% \) on the international
stock fund, and \( 6 \% \) on the domestic stock fund, how much should the investor put in each investment?
The investor should put \( \$ 8800 \) in the international stock fund.
(Type a whole number.)
The investor should put \( \$ \square \) in domestic stock fund.
(Type a whole number.)
Algebra
Question \( 3(3 \%) \)
For question one above, suppose Plants 2 and 3 were decommissioned and replaced with an
updated facility. The production capacity of this new Plant is constrained by the following
equation: \( 9\left(x_{1}\right)^{2}+5\left(x_{2}\right)^{2} \leq 216 \).
(a) Write a mathematical model for the updated optimization problem (remember now there are
only Plant 1 and the new Plant). (Hand written submission)
(b) Write a PyTorch's program that uses gradient descent to solve (a). Submit a single python
file (no notebooks). The file extension is . Py.
Other
An investor plans to put a total of \( \$ 110,000 \) in a money market account, a bond fund, an international
stock fund, and a domestic stock fund. She wants \( 60 \% \) of her investment to be conservative (money
market and bonds). The investor wants the amount in international stocks to be one-fourth the amount
in domestic stocks. Finally, the investor needs an annual return of \( \$ 4,400 \). Assuming the investor gets
annual returns of \( 2.5 \% \) on the money market account, \( 3.5 \% \) on the bond fund, \( 4 \% \) on the international
stock fund, and \( 6 \% \) on the domestic stock fund, how much should the investor put in each investment?
The investor should put \( \$ 28600 \) in the bond fund.
(Type a whole number.)
The investor should put \( \$ \square \) in the international stock fund.
(Type a whole number.)
Algebra
\( 1 \leftarrow \quad \begin{array}{l}\text { An investor plans to put a total of } \$ 110,000 \text { in a money market account, a bond fund, an international } \\ \text { stock fund, and a domestic stock fund. She wants } 60 \% \text { of her investment to be conservative (money } \\ \text { market and bonds). The investor wants the amount in international stocks to be one-fourth the amount } \\ \text { in domestic stocks. Finally, the investor needs an annual return of } \$ 4,400 \text {. Assuming the investor gets } \\ \text { annual returns of } 2.5 \% \text { on the money market account, } 3.5 \% \text { on the bond fund, } 4 \% \text { on the international } \\ \text { stock fund, and } 6 \% \text { on the domestic stock fund, how much should the investor put in each investment? } \\ \text { The investor should put } \$ 37400 \text { in the money market account. } \\ \text { (Type a whole number.) } \\ \text { The investor should put } \$ \square \text { in the bond fund. } \\ \text { (Type a whole number.) }\end{array} \). \( \quad \).
Algebra
\( \lim _ { x \rightarrow + } ( \frac { x } { x - 1 } - \frac { 1 } { \ln x } ) \)
Calculus
An investor plans to put a total of \( \$ 110,000 \) in a money market account, a bond fund, an international
stock fund, and a domestic stock fund. She wants \( 60 \% \) of her investment to be conservative (money
market and bonds). The investor wants the amount in international stocks to be one-fourth the amount
in domestic stocks. Finally, the investor needs an annual return of \( \$ 4,400 \). Assuming the investor gets
annual returns of \( 2.5 \% \) on the money market account, \( 3.5 \% \) on the bond fund, \( 4 \% \) on the international
stock fund, and \( 6 \% \) on the domestic stock fund, how much should the investor put in each investment?
The investor should put \( \$ \square \) in the money market account.
(Type a whole number.)
Algebra
1.8.2 The Comrades marathon starts at 05:30. Determine the time at which Goodman completed the race.
(2)
1.8.3 Calculate the distance from Camperdown to Pinetown.
(2)
1.8.4 Calculate the time it took Goodman to run from Camperdown to Pinetown.
(Round off your answer to the nearest minute).
(2)
1.8.5 Calculate Goodman's average speed from Camperdown to Pinetown. (3)
Formula: Speed \( =\frac{\text { tine }}{\text { distance }} \)
1.9 Dedekind Butchery has a customer who has moved to South Africa from the USA. In America, mass is measured in pounds and ounces instead of kilograms and grams. He/she wants to buy 8 pounds of lamb chops. Let's help Mr Dedekind serve his customer. You will need the following conversions:
- 1 kg lamb chops \( = \) R35
- 2,2 pounds \( =1 \mathrm{~kg} \)
- US \$1 = R7,34
1.9.1 Convert 8 pounds to kilograms (kg). (Round off your answer to the nearest \( \mathrm{kg}) \).
(3)
1.9.2 Determine the price of 8 pounds of lamb chops, in Rands. (Use your rounded-off answer from 1.9.1).
(2)
1.9.3 Convert the answer obtained in 1.9 .2 into dollars.
(2)
Arithmetic
Let \( f(x)=a x^{2}+b x+c \) be the quadratic function whose graph goes through the points \( (3,28),(-4,70) \),
and \( (-3,40) \). Find \( f(x) \) by solving the system for \( a, b \), and \( c \).
The parabola fitting these three points is \( f(x)=\square \)
Algebra
An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield
on AAA bonds is \( 4 \% \), on A bonds \( 6 \% \), and on B bonds \( 11 \% \). The client wants to invest twice as much
in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment
is \( \$ 25,000 \), and the investor wants an annual return of \( \$ 1,560 \) on the three investments?
The client should invest \( \$ \square \) in AAA bonds, \( \$ \square \) in A bonds, and \( \$ \square \) in B bonds.
Algebra
The line \( y=3 x-2 \) crosses the \( y \)-axis at \( G \).
Write down the coordinates of \( G \).
Algebra
A customer took clothes to the cleaners three times last month. First, she brought 1 shirt and 2 pairs of
slacks and paid \( \$ 14 \). Then she brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid \( \$ 55 \).
Finally, she brought 3 shirts and 1 sports coat and paid \( \$ 19 \). How much was she charged for
each shirt, each pair of slacks, and each sports coat?
The customer was charged \( \$ \square \) for each shirt, \( \$ \square \) for each pair of slacks, and \( \$ \square \) for each sports
coat.
Algebra
\( \left\lvert\, \begin{array}{l}\text { Multiply: } \\ 794 \times 37\end{array}\right. \)
Arithmetic
(2) \( 2^{y-3 x}=\frac{1}{16} \)
\( x^{2}+x y=24 \)
Algebra
Which of the following definite integrals are equal to \( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \sin \left(-1+\frac{5 k}{n}\right) \frac{5}{n} \) ?
I. \( \int_{-1}^{4} \sin x d x \)
II. \( \int_{0}^{5} \sin (-1+x) d x \)
III. \( 5 \int_{0}^{1} \sin (-1+5 x) d x \)
(A) I only
(B) II only
(C) III only
(D) I, II, and III
Calculus
79.- RESUELVE EL SIGUIENTE SISTEMA DE ECUACIONES:
\[ \left\{\begin{array}{c}6 x+y-8 z=-27 \\ 4 x-3 y+2 z=4 \\ 2 x+4 y-6 z=-15\end{array}\right. \]
a) \( x=\frac{1}{2} ; y=2 ; z=4 \) \( \begin{array}{l}\text { (b) } x=1 ; y=3 ; z=-4 \\ \text { c) } x=2, y=2 ; z=2 \\ \text { d) } x=-\frac{1}{2} ; y=-2 ; z=10\end{array} \)
Algebra
A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus
charges for each minute and each mile. Suppose that, in a certain metropolitan area during
rush hour, the flat fee is \( \$ 5 \), the cost per minute is \( \$ 0.30 \), and the cost per mile is \( \$ 1.20 \). Let \( x \) be the
number of minutes and \( y \) the number of miles. At the end of a ride, the driver said that the
passenger owed \( \$ 11.30 \) and remarked that the number of minutes was three times the number of
miles. Find the number of minutes and the number of miles for this trip.
\( 5+0.30 x+1.20 y=11.30 \)
(Do not include the \( \$ \) symbol in your answer. Do not simplify. Use integers or decimals for any
numbers in the equation.)
Complete the equation that represents the relationship between the number of minutes and number
of miles.
\( \square=0 \)
(Do not simplify. Use integers or decimals for any numbers in the equation.)
Algebra
65.- ¿CUÁL ES EL VALOR DE LA INCÓGNITA EN LA ECUACIÓN?
\[ \begin{array}{llll}-5(x-1)=-3(x+3) \\ \text { a) }-2 & \text { b) }-7 & \text { c) } 3 & \text { d) } 7\end{array} \]
Algebra
A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus
charges for each minute and each mile. Suppose that, in a certain metropolitan area during rush hour,
the flat fee is \( \$ 5 \), the cost per minute is \( \$ 0.30 \), and the cost per mile is \( \$ 1.20 \). Let \( x \) be the number of
minutes and \( y \) the number of miles. At the end of a ride, the driver said that the passenger owed
\( \$ 11.30 \) and remarked that the number of minutes was three times the number of miles. Find the
number of minutes and the number of miles for this trip.
\( 3+U .3 u x+1.20 y=11.30 \)
(Do not include the \( \$ \) symbol in your answer. Do not simplify. Use integers or decimals for any
numbers in the equation.)
Complete the equation that represents the relationship between the number of minutes and number
of miles.
\( \square=0 \)
(Do not simplify. Use integers or decimals for any numbers in the equation.)
Algebra
62.- SIMPLIFICA \( 7 a^{4}-6 a^{2}-\left(8 a^{2}+9 a^{4}\right) \)
\( \begin{array}{ll}\text { d) } 2 a^{2}+2 a^{4} & \text { b) }-4 a^{2}-14 a^{4} \\ \text { c) }-14 a^{2}-2 a^{4} & \text { d) } 2 a^{2}-4 a^{4}\end{array} \)
Algebra
Which of the following is an example of a thinking skill?
One of your subordinates has three sick children at home. She has been late to work every day this week. Last year, your household fell ill to covid-19 so you understand the level of stress she is under.
You decide to give her the day off and take on the extra workload.
You notice that patient wait times are too long. You propose several strategies for improving patient relations.
You receive an award for being the team member of the month.
You are praised for your ability to effectively communicate with patients from diverse racial and ethnic backgrounds.
Social Sciences
61. ESCRIBE LA ECUACIÓN DE UNA PARÁBOLA HORIZONTAL QUE
TIENE UN VÉTICE EN EL PUNTO \( (2,3) \) Y SU P=3.
\( \begin{array}{ll}\text { a) }(y-2)^{2}=12(x-3) & \text { b) }(y-3)^{2}=12(x-2) \\ \text { c) }(x-2)^{2}=12(y-3) & \text { d) }(x-3)^{2}=12(y-2)\end{array} \)
Pre Algebra
A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus
charges for each minute and each mile. Suppose that, in a certain metropolitan area during rush hour,
the flat fee is \( \$ 5 \), the cost per minute is \( \$ 0.30 \), and the cost per mile is \( \$ 1.20 \). Let x be the number of
minutes and y the number of miles. At the end of a ride, the driver said that the passenger owed
\( \$ 11.30 \) and remarked that the number of minutes was three times the number of miles. Find the
number of minutes and the number of miles for this trip.
Complete the equation that represents the total cost of the ride.
\( \square=11.30 \)
(Do not include the \( \$ \) symbol in your answer. Do not simplify. Use integers or decimals for any
numbers in the equation.)
Algebra
1
Which of the following definite integrals is equal to \( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \frac{10 k}{n}\left(\sqrt{1+\frac{5 k}{n}}\right)\left(\frac{5}{n}\right) ? \)
(A) \( \int_{1}^{6} 10 \sqrt{x} d x \)
(B) \( \int_{1}^{6} 2 x \sqrt{x} d x \)
(C) \( \int_{0}^{5} 10 \sqrt{1+x} d x \)
(D) \( \int_{0}^{5} 2 x \sqrt{1+x} d x \)
(Iy
Calculus
Matemáticas
57. JUAN TIENE EL DOBLE DE LA EDAD DE MARÍA. LA SUMA DE LAS
EDADES DE JUAN Y MARÍA ES DE 108 AÑOS. LA ECUACIÓN QUE
REPRESENTA ALGEBRAICAMENTE LO ANTERIOR ES:
\( \begin{array}{ll}\text { a) } 2 x+x=108 & \text { b) } x+x=108 \\ \text { c) } 2 x-x=108 & \text { () } 2 x+y=108\end{array} \)
Algebra
Find the volume of the parallelepiped spanned by the vectors below.
\( \begin{array}{l}\mathbf{u}=[2,8,-6] \\ \mathbf{v}=[-5,0,-2] \\ \mathbf{w}=[7,6,5] \\ \text { Volume of parallelepiped }=\text { Ex: } 5\end{array} \)
Geometry
\( \left. \begin{array} { c } { f ( x ) = ( - x ) ^ { 3 } - x ^ { 2 } - x + 11 } \\ { a \cdot f ( 3 ) } \\ { b \cdot f ( - 3 ) } \end{array} \right. \)
Algebra
A troops can be arranged in 6,7 and 8 rows, but not is a square form.
(a) Find out factors of 8 .
(b) What is the least number by which the number in troops is to
multiplied so that the troops can be arranged in a square form?
(c) At least how many troops should have to join to arrange troop
btained in a square form?
Arithmetic
All of the following are examples of socio-emotional skills except:
consoling a colleague who has just lost a parent
checking yourself when you notice your implicit bias
using interprersonal skills to mediate a conflict
using EPIC to manage patient records
communicating policy changes to your unit
working with others to increase employee morale
Social Sciences
Given the vectors below, find the scalar triple product \( \mathbf{u} \cdot(\mathbf{v} \times \mathbf{w}) \)
\( \begin{array}{l}\mathbf{u}=[0,-5,3] \\ \mathbf{v}=[0,-9,2] \\ \mathbf{w}=[6,-3,8] \\ \mathbf{u} \cdot(\mathbf{v} \times \mathbf{w})=\text { Ex: } 5\end{array} \)
Calculus
10. Ko'paytirishni ko'p martali qo'shish bilan almashtirib hisoblang \( \frac{8}{9} \cdot 4 \) Kasrni ko'paytirish xossasidan foydalanib hisoblang. \( \frac{5}{6} \cdot 13 \)
\[
\frac{7}{9} \cdot 8
\]
\( \frac{3}{4} \cdot 52 \)
\( \frac{8}{10} \cdot 7 \)
Arithmetic
Find the area of the parallelogram spanned by the following vectors.
\[ \begin{array}{l}\mathbf{u}=[0,0,3] \\ \mathbf{v}=[8,6,4] \\ \text { Area of parallelogram }=\text { Ex: } 1.234\end{array} \]
Geometry
\( \left. \begin{array} { l } { f ( x ) = ( - x ) ^ { 3 } - x \cdot - x + 11 } \\ { a \cdot f ( 3 ) } \\ { b \cdot f ( - 3 ) } \end{array} \right. \)
Algebra
35. Which system of equations has the
same solution as the system below?
\[ \begin{array}{l} 2 x+2 y=16 \\ 3 x-y=4\end{array} \]
\( \begin{array}{rr}2 x+2 y=16 & \text { B. } \begin{aligned} 2 x+2 y & =16 \\ 6 x-2 y & =8 \\ 6 x-2 y & =4\end{aligned} \\ \begin{array}{rr}x+y & =16\end{array} & \text { D. } \begin{array}{l}6 x+6 y \\ \text { A. } \\ 6 x+2 y\end{array} \\ 3 x-y=4\end{array} \)
Algebra
Question 17
The biggest difference between schemas and mindsets is that:
schemas are concerned with how we take in and integrate information whereas mindsets are the lens through which we see how the world operates and how we interact with it.
there is no difference - they are used interchangeably
mindsets are concerned with how we take in and integrate information whereas schemas are the lens through which we see how the world operates and how we interact with it.
schemas are bad and mindsets are good
Social Sciences
Which of the following is the square root of 0.01 ?
\( \begin{array}{lll}\text { (a) } 0.01 & \text { (b) } 0.1 & \text { (c) } 0.001\end{array} \)
Arithmetic
\( f(x)=(-x)^{3}-x^{2}-x+1 \)
a. \( f(3) \)
b.f(-3)
Algebra
\( \left. \begin{array} { c } { f ( x ) = 4 x ^ { 2 } + 2 x - 4 } \\ { f ( x + 3 ) } \end{array} \right. \)
Algebra
All of the foHowing are fields that are included in the study of organizational management, except:
behavioral economics
psychology
communications
sociology
neuroscience
political science
Economics
All of the following are fields that are included in the study of organizational management, except:
behavioral economics
psychology
communications
sociology
neuroscience
political science
Economics
\[
f(x) = 3x + 4 \quad g(x) = 2x - 3
\]
\[
\text{Find: } f \circ g(x)
\]
Algebra
Given \( \mathbf{u} \) and \( \mathbf{v} \), find \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \)
\[ \begin{array}{l}\mathbf{u}=[-8,5,-4] \\ \mathbf{v}=[7,-5,-6] \\ \operatorname{comp}_{\mathbf{v}} \mathbf{u}=\operatorname{Ex:~} 1.234\end{array} \]
Calculus
2 What is the sum of \( x^{3}+4 x-5 \) an \( 13 x^{2}+x-6 \)
Algebra
Given \( \mathbf{u} \) and \( \mathbf{v} \), find \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \)
\( \mathbf{u}=[-9,-7] \)
\( \mathbf{v}=[-1,-8] \)
\( \operatorname{comp}_{\mathbf{v}} \mathbf{u}= \) Ex: 1.234
Calculus
Which of the following is an example of a correctly utilizing a soft skill in practice?
You are tasked with using your coding skills to create a database that tracks patient health outcomes.
You utilize what you learned in your management of health organizations class to teach your colleagues about health information systems.
Your coworker is upset that you did not recognize their contributions to your project at the last staff meeting. You hear about this from another colleague and decide that you are no longer going to interact
with the person who you think is gossiping about you.
Your boss is yelling at the group because your organization was fined for a HIPAA violation. You decide to invite Human Resources to conduct a training with the team so that this does not happen again.
You meet with your boss and tell them that you completely understand their frustration.
Social Sciences
34. A part of Jennifer's work to solve
the equation \( 2\left(6 x^{2}-3\right)=11 x^{2}-x \) is
shown below.
Given: \( 2\left(6 x^{2}-3\right)=11 x^{2}-x \)
Step 1: \( 12 x^{2}-6=11 x^{2}-x \)
Which property justifies her first step?
A. identity property of multiplication
B. multiplication property of equality
C. commutative property of
multiplication
D. distributive property of
multiplication over subtraction
Algebra
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