A small group communication occurs when three or more people work together interdependently for the purpose of accomplishing a task.
Small Group Communication
Small group communication is the term used to describe face-to-face conversation between more than two people. This kind of internal communication exists.
A small group is typically thought of as a collection of three or less people, with a maximum number of twelve to fifteen. A group would not be considered tiny if it had more than fifteen members or if it had just two.
Since almost all businesses and organisations employ people in small squads, there are advantages or even strengths to small group communication. When compared to one individual working alone on a project, it has been found to be more appropriate and produce better results.
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A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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I need help fast smart people I need your answer
Answer:
The angle D is 64 degrees.
Step-by-step explanation:
This is because they are vertical
Answer:
i think its the yellow square
Step-by-step explanation:
Please help me out I need some help
Answer:
A
Step-by-step explanation:
Pleasssseeeeee hhhhheeeelllpppp
Answer:
what can I help you miss
Answer: A' = (1, 5)
B' = (-3, 5)
C' = (-3, 2)
D' = (1, 2)
Step-by-step explanation:
Reflecting across the y-axis provides the opposite x-value.
Z = (x, y) --> Z' = (-x, y)
A = (-1, 5) --> A' = (1, 5)
B = (3, 5) --> B' = (-3, 5)
C = (3, 2) --> C' = (-3, 2)
D = (-1, 2) --> D' = (1, 2)
What is the answer PLEASEE
Answer:
\(3^{-4}\)
Step-by-step explanation:
\(3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}\)
450 students are graduating. 68% are going to college. 14% are working. How many students are unsure about what to do?
ANSWER
81 students
EXPLANATION
We have that 450 students are graduating.
68% (out of 100%) are going to college while 14% (out of 100%) are working.
To find the percentage of the studetns that are unsure about what to do, we have to subtract the percentages of those that know what to do from 100%.
That is:
100 - (68 + 14)
=> 100 - 82
=> 18%
Therefore, 18% of people are unsure about what to do.
Now, to find the number of students, we multiply this percent by the total number of students (450):
\(\begin{gathered} \frac{18}{100}\cdot450 \\ =\text{ 81} \end{gathered}\)81 students are unsure about what to do.
What is a good practice to remember when adding transitions to a presentation?
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
C
Step-by-step explanation:
cot²θ = 1/tan²θ
plug this in to get
1/(1/tan²θ + 1)
1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ
we then have
1/((1+tan²θ)/tan²θ)
1/(x/y) = y/x, so this is equal to
tan²θ/(1+tan²θ)
tan²θ = sin²θ/cos²θ, so plug this in to get
(sin²θ/cos²θ)/(1+sin²θ/cos²θ)
1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ
sin²θ + cos²θ = 1, so we have
(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get
(sin²θ/cos²θ)/(1/cos²θ)
(a/b)/(c/d) = (d/c) * (a/b), so we have
(sin²θ/cos²θ)/(1/cos²θ) = cos²θ/1 * sin²θ/cos²θ = sin²θ
WILL GIVE BRAINLIEST!
Which is the asymptote of the graph?
y = 0
y = −3
y = −2
y = −1
Answer:
y = -2
Step-by-step explanation:
_____________________
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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NEED HELP ASAP PLS AND THX
Picture is attached
The true statement exists
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?If two lines in a plane can be stretched indefinitely in both directions without coming to an intersection, they are said to be parallel.
If the equivalent angles generated when two lines are intersected by a transversal line are equal, the lines are parallel. Typically, the comparable angles are situated side by side and on the same transversal side.
If the alternate internal angles so created are equivalent, two lines sliced by a transversal line are considered parallel. The pairs of the alternate interior are often located on the inner side but are located on the opposing sides of the transversal.
1. <3 = <2 because of vertically opposite angle.
Therefore, it is false
2. <1 + <3 = 180 because form a straight angle.
Therefore, it exists true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Therefore, it exists true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Therefore, it exists true.
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The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?
Answer:
28
Step-by-step explanation:
2*28 = 56
3*28 = 84 -10 = 74
74+56+50 = 180
180 degrees in a triangle
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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I need help finding the x intercept and the vertex
So,
Given the function:
\(y=-x^2+6x-5\)We're going to find the x-intercepts of the function as follows:
Step 1: Set the equation equal to zero.
\(-x^2+6x-5=0\)Step 2: We could multiply both sides of the equation by -1 so we could factor after that:
\(x^2-6x+5=0\)Now, we could factor this equation to solve for x and find the x-intercepts. To factor, we're going to find two numbers, whose sum gives us -6, and its product is 5. These numbers are -5 and -1, so we're going to group them in factors as follows:
\((x-5)(x-1)=0\)Solving for x, we notice that each factor could be zero, then:
\((x-5)(x-1)=0\to\begin{cases}x-5=0\to x=5 \\ x-1=0\to x=1\end{cases}\)Therefore, the x-intercepts of the function are x=1 and x=5.
To find the vertex, we could use the fact that every quadratic equation of the form:
\(y=ax^2+bx+c\)Has a vertex in the following coordinates:
\(V(x,y)=V(-\frac{b}{2a},-\frac{b^2}{4a}+c)\)What we're going to do is to identify the values of a,b, and c (Which are the coefficients of the terms of the equation) and then replace them in the previous equation so we could calculate the coordinates of the vertex. This is,
\(y=-x^2+6x-5\)Where:
\(\begin{gathered} a=-1 \\ b=6 \\ c=-5 \end{gathered}\)Replacing these values in the equation of the vertex, we got that:
\(\begin{gathered} V(x,y)=V(\frac{-6}{2(-1)},\frac{-6^2}{4(-1)}-5) \\ \\ V(x,y)=V(\frac{-6}{-2},\frac{-36^{}}{-4}-5) \\ \\ V(x,y)=V(3,9-5) \\ V(x,y)=V(3,4) \end{gathered}\)Therefore, the coordinates of the vertex are (3,4).
5. El bloque de la figura se encuentra en reposo en el momento en que empiezan a actuar las fuerzas.
F₁ = 25 N
F, = 22.6 N
m = 2 kg
a. Encontrar el valor de la fuerza resultante.
b. Determina su aceleración.
C. Calcula la velocidad del bloque a los 5 segundos de movimiento.
The resultant force acting on the block is 47.6N.
The acceleration of the block will be 23.8 m/s².
The speed of the block after 5 seconds of movement is 119 m/s.
What is the resultant force?In this question, we need to make use of Newton's second law, hence:
resultant force = mass × acceleration
So, for question a. The value of the resultant force will be obtained by adding the two forces together:
resultant force = F₁ + F₂
= 25N + 22.6N
= 47.6N
b. Its acceleration will be:
acceleration = resultant force / mass
= 47.6N / 2kg
= 23.8 m/s²
c. The speed of the block after 5 seconds of movement will be:
Velocity (v) = u + at
velocity = initial velocity + acceleration x time
Based on the block was initially at rest, the initial velocity is 0.
Hence:
V = acceleration x time
= 23.8 m/s² x 5s
= 119 m/s
Hence the speed of the block after 5 seconds of movement will be: 119 m/s.
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See full text below
The block in the figure is at rest when the forces begin to act.
F₁ = 25N
F, = 22.6 N
m = 2kg
to. Find the value of the resultant force.
b. Determine its acceleration.
C. Calculate the speed of the block after 5 seconds of movement.
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
-5x - -4x - 10 = ?
Please Help Me!
Answer:
Today: Monday, 12 October 2020
Hour: 23.39 WIB (in Indonesia)
_________________________
-5x - - 4x - 10
-5x + 4x - 10
-x - 10
Does the table below represent a proportional relationship?
х
2
3
4
5
y
6
7
8
9
O A. Yes, because all the ratios of y to x are equal to 2.
OB. No, because all the numbers are positive.
O C. Yes, because all the ratios of yto x are equal to 3.
OD. No, because all the ratios of yto x are not equal.
Answer:
The answer is C. Hope it helps :)
Answer:
I think C Will help...
a) Twice the difference of a number c and forty.b) Four times the sum of a number f and fifty.
a) We have a number X that is twice the difference of a number c and 40.
We can write this as:
\(X=2(c-40)\)b) Four times the sum of a number f and fifty.
Then, X is:
\(X=4(f+50)\)Where does the graph of the line 3x – 4y = 12 intersect the y-axis?
A. (4,0)
B. (-4, 0)
C. (0, 3)
D. (0, -3)
Answer
[0,-3] should be the right answer
The line should intersect at y axis i.e x=0
Then put the value of x as zero in the equation to find the value of y.
3*0-4y=12
-4y=12
y=12/-4=-3
y=-3 ..
HOPE THIS HELPS YOU
Drag statements and reasons to each row to show why the slope of the line between R and S is the same as the slope between S and T, given that triangles A and B are similar.
For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
What is the slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
If the slope of the triangles is equal then triangle A is similar to triangle B.
In the statement when we simplify
(5/3)=(15/9),
(5/3)=(5/3),
Then the reason for this statement is "If the slope of triangles are equal"
And the definition of slope in general is m = y/x.
Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
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Good evening, I need help on question 1. For a geometry practice question. Please help:)
1) We have a rigth triangle.
We have to find the length of the leg x.
As we know the hypotenuse and one of the angles, we can write the trigonometric ratio:
\(\begin{gathered} \cos(32\degree)=\frac{Adjacent}{Hypotenuse}=\frac{x}{14} \\ x=14*\cos(32\degree) \\ x\approx14*0.848 \\ x\approx11.9 \end{gathered}\)Answer: x = 11.9
( 100 pts) very urgent please ASAP. Prove that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle.
A right angled isosceles triangle is a triangle with two sides of equal length and one right angle. To prove that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle, we can use the distance formula and the Pythagorean theorem.
The distance formula is used to calculate the distance between two points in a coordinate plane. It is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the distance formula, we can find that the distance between the points (-3, 3) and (3, -7) is:
d = √((3 - (-3))^2 + ((-7) - 3)^2) = √(6^2 + (-10)^2) = √(36 + 100) = √136
Similarly, we can find that the distance between the points (-3, 3) and (7, 9) is also √136 and the distance between the points (3, -7) and (7, 9) is √36.
Now, we can use the Pythagorean theorem, which states that in a right angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Since d1 and d2 are equal, we can say that the triangle is isosceles.
So, using the distance formula and the Pythagorean theorem, we have proven that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle.
please help
please hury
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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Please awnser asap I will brainlist
Answer:
True
Step-by-step explanation:
The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?
The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.
To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:
30% of $86 = 0.3 x $86 = $25.80
Therefore, Pedro will need to pay $25.80 for shipping and handling.