Annette Creighton opened Creighton Consulting and rented a small office space. She also hired a part-time worker to handle phone calls and make deliveries.
1. Annette Creighton decided to start her own consulting firm and named it Creighton Consulting.
2. As part of setting up the business, she began by renting a small office space. This would serve as the headquarters for her consulting operations.
3. To ensure smooth communication and timely deliveries, Annette realized the need for assistance. She hired a part-time worker to handle incoming phone calls and make necessary deliveries on behalf of the company.
4. The part-time worker would be responsible for answering the phone and addressing client inquiries or forwarding them to Annette if necessary. This step was crucial to maintaining good customer service and professionalism.
5. Additionally, the worker would also handle deliveries, ensuring that any documents, packages, or materials were transported promptly to clients or other relevant destinations.
6. By hiring a part-time worker, Annette aimed to streamline her operations and focus on core consulting tasks, such as client meetings, project management, and providing expert advice to clients.
7. The worker's role would involve effective communication skills, organization, and attention to detail to represent Creighton Consulting in a professional manner.
8. Annette understood that investing in administrative support would free up her time and allow the business to operate more efficiently, ultimately benefiting both her and her clients.
9. With the office space secured and the part-time worker in place, Annette was ready to embark on her consulting journey, confident in her ability to handle client inquiries and maintain smooth business operations.
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PLEASE HELPPP
Richard divided a 1.954-L bottle of spicy tomato juice
equally among 5 glasses. How much juice is in each glass?
Answer:
390.8ml
Step-by-step explanation:
1.954 divided by 5=0.3908 litres
0.3908liters=390.8ml
Factor completely 2x² - 18x + 36.
O 2(x − 6)(x − 3)
O 2(x − 6)(x + 3)
O2(x − 3)(x + 6)
O2(x + 3)(x + 6)
Answer: 2(x − 6)(x − 3) is the answer
Step-by-step explanation:
Determine the domain and range of the function f (x) = 2 RootIndex 3 StartRoot 108 EndRoot Superscript 2 x.
A: {x| all real numbers}; {y| y > 0}
B: {x| all real numbers}; {y| y ≥ 0}
C:{x| x > 0}; {y| all real numbers}
D: {x| x ≥ 0}; {y| all real numbers}
Answer:
The correct answer is A {x/ all real numbers}; {y/ y> 0}
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edge
hope this helps :)
BEST answer gets 69 points
Find the sum of (9.4 x 10^6) and (3.5 x 10^5). Write the final answer in scientific notation.
a. 1.29 x 10^10 b. 12.9 x 10^11 c. 9.75 x 10^5 d. 9.75 x 10^6
Answer:
D: 9.75 * 10^6
Step-by-step explanation:
You can make it easy for yourself if you write both answers in the same form:
(9.4 * 10^6) = (9.4 *10 * 10^5 = 94*10^5) and (3.5 * 10^5) stays the same.
We can now add those numbers up easier:
(94*10^5) + (3.5*10^5) = ( 94 + 3.5 ) * 10^5 = ( 97.5 * 10^5 )
but this answer is not in the option list. We have to perform the same trick as in the beginning, but than the other way around:
(97.5 * 10^5) = (9.75 * 10) * 10^5 = 9.75 * 10^6,
which is exactly option D
Can Someone Help Me. ? It’s Between A Or B
b option is the answer
I am sure
Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y= ___
Find the solution to the following system by substitution
3x + y = 30
y = 3x
Answer:
X = -5 and Y = -15
Step-by-step explanation:
Hope this helps!
Find the circumference and the area of a circle with radius 3 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers
Circumference = 2 x radius x Pi
= 2 x 3 x 3.14
= 6 x 3.14
= 18.84 feet
Area = pi x r ^2
= 3.14 x 3^2
= 3.14 x 9
= 28.26 square feet
The circumference of the circle will be C= 18.84 ft and the area of the circle will be \(A=28.27 ft^2\)
What is area of the circle?The area of the circle is defined as the quantity of the space covered by the circle in a two-dimensional plane.
It is given in the question ;
Radius of the circle = 3 ft.
The area of the circle is given by the formula;
\(A=\pi r^2\)
\(A=\pi \times 3\times 3\)
\(A= 28.27\ Ft ^2\)
Circumference of the circle is given by
\(C=2\pi r\)
\(C=2\pi\times 3\)
\(C=18.84\ Ft\)
Hence the circumference of the circle will be C= 18.84 ft and the area of the circle will be \(A=28.27 ft^2\)
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Which graph is a function of x?
Answer:
Step-by-step explanation:
No picture. But a function must satisfy the vertical line test. Which means that each value of x has only one value for y. If a graph shows two values for y for a single value of x it is not a function.
HELP PLS THIS IS DUE TOMORROW PLSSSS HELP
Are ARST and ANSP similar? Use pencil and paper. Find the
measure of the angles in each triangle.
Which two angles must be congruent? What type of angles are they? (1 point)
Answer:
The angles are congruent, the two that are touching, m<s
Step-by-step explanation:
I need help with this
Answer:
(x -14)² +(y -7)² = 1²
Step-by-step explanation:
You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.
Equation of a circleThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...
(x -14)² +(y -7)² = 1²
Pls help I’ll brainlest asap
Answer:
4(3 + 20)
Step-by-step explanation:
Since the 4 is shared among the two terms, we factor it out and write what is left over inside the parenthesis: 4(3 + 20).
12=4*3
80=4*20
4(3 + 20)
So 12 +80 = 4(3 + 20) = 92
Mila's math teacher said that each question answered correctly on a test would be worth 3 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.
After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.
What is probability?Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.
Sketch of exponential probability distribution with mean of 12 seconds:
|
|
| .
| . .
| . .
| . .
| . . .
| . . .
| . . .
| . . .
| . . .
| . . . .
| . . . .
| . . . .
| . . . . .
| . . . . .
|_____________. . . . . . .
0 12 X
The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.
b. Probability of the arrival time between vehicles being 12 seconds or less:
Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:
\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)
Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.
c. Probability of the arrival time between vehicles being 6 seconds or less:
\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)
Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.
d. Probability of 30 or more seconds between vehicle arrivals:
\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)
Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.
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A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 5800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 40-kilogram crates that can be loaded into the shipping container.
Solution:
Given:
40kg crates to be loaded on a shipping container which can load a maximum of 25,000kg.
The container already has 5800kg of other shipments loaded on it.
Each crate weighs 40kg
The number of 40kg crates is represented by x.
Hence, the total weight of the crates to be loaded is;
\(40\times x=40x\text{ kilograms}\)The inequality can be given by;
\(\begin{gathered} 40x+5800\le25000 \\ \text{This is because the total that can be loaded on the container can not exc}eed\text{ 25000} \end{gathered}\)Therefore, the inequality is;
\(40x+5800\le25000\)To solve for the number of crates;
\(\begin{gathered} 40x+5800\le25000 \\ 40x\le25000-5800 \\ 40x\le19200 \\ \text{Dividing both sides by 40,} \\ x\le\frac{19200}{40} \\ x\le480 \end{gathered}\)Therefore, the number of 40kg crates that can be loaded into the shipping container can not exceed 480 crates.
Hence, a maximum of 480 40kilogram crates can be loaded on the shipping container alongside other shipments weighing 5800kg.
Thus, the inequality to determine the number of 40kg crates is;
\(x\le480\)1. A polka band will play 6 traditional pieces and 4 original pieces at a local concert. In how
many ways can the musicians arrange the program if:
(a) they begin with a traditional piece?
(b) they play an original piece last.
[2]
[2]
The number of ways in which the musicians can arrange the programs if they begin with a traditional piece is 2177280
A polka band will play 6 traditional pieces and 4 original pieces at a local concert
(a) they begin with a traditional piece
Then the 1st song has a choice of 6
The second song has a choice of 9 and third song has 8, fourth song has 7 and so on
So the number of ways in which they can arrange the progran can be calculated by
multiplying the number of choices for each piece 6 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
2177280
Therefore the number of ways in which the musicians can arrange the programs if they begin with a traditional piece is 2177280
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The vectors v and w lie in the coordinate plane such that their initial points are at the origin. Vector v has a magnitude of 2 and direction of 45° North of East. Vector w has a magnitude of 2 and a direction of 45° South of East. What is the magnitude of the vector v+w?
The vector v+w has a magnitude of 2√2 and its direction is along the positive x-axis.
What is meant by vector?
A vector is a quantity that has both magnitude and direction. It is represented as an arrow with its length representing the magnitude and its direction representing the direction of the quantity.
What is meant by the x-axis?
The x-axis is the horizontal line on a coordinate plane that is used as a reference for plotting and describing the positions of points in two-dimensional space. It is often referred to as the "horizontal axis" or the "abscissa".
According to the given information
Here the vector v has a magnitude of 2 and a direction of 45° so the components of vector v are:
v_x = 2 cos 45° = √2
v_y = 2 sin 45° = √2
Vector w has a magnitude of 2 and a direction of 45° South of East. This means that the angle between vector w and the positive x-axis is 45°, and the angle between vector w and the negative y-axis is 45°. Therefore, the components of vector w are:
w_x = 2 cos 45° = √2
w_y = -2 sin 45° = -√2
Now we can add the components of vectors v and w to find the components of the vector v+w:
(v+w)_x = v_x + w_x = √2 + √2 = 2√2
(v+w)_y = v_y + w_y = √2 - √2 = 0
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URGENT PLEASE HELP !!
In a recent election, there were six candidates and 4700 total votes. The circle graph below summarizes the votes by candidate.
The central angle for the Choi slice is 93.6°. How many of the votes did Choi get?
Based on the central angle for the Choi slice of 93.6°, the number of votes that Choi got was 1,222.
How is the number of votes determined?The central angle representing Choi's votes is converted to a percentage of the total by dividing it by 360 degrees, and multiplying by 100.
The percentage is applied (multiplication) to the total votes of the six candidates to get Choi's total votes in the recent election.
The central angle for Choi = 93.6°
The total degrees of a circle = 360°
The fraction or percentage of the circle Choi got = 0.26 or 26% (93.6°/360°)
The total number of votes for the six candidates = 4,700
The number of votes Choi got = 1,222 (0.26 x 4,700)
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Can some help me? I have to find all possible solutions to that equation. I already found one thank you
The possible solutions to the equation are:
3π/4
π/4
How to solve trigonometric equations?Trigonometric equations involve trigonometric functions such as sine, cosine, tangent, etc. The goal is to solve for the unknown variable in the equation.
csc²x - 2 = 0
csc²x = 2
csc x = √2
sin x = 1/√2 (Remember: csc x = 1/sinx)
x = sin⁻¹(1/√2 )
x = 90° or 135° (sine is positive in 1st and 2nd quadrants)
x = π/4 or 3π/4
Thus, the possible solutions to the equation are x = π/4 or 3π/4.
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If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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Hi can someone reply me I am not sure how to factorise (2x+3)(4x-1)-(3+2x)(x-5)
I hope this is a real answer
I need help with this please?
1320
Step-by-step explanation:
the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320
for what value of k will the relation not be a function
R={(k-8.3+2.4k,-5),(3/4k,4)}
Step-by-step explanation:
hope you can understand
ben has a piece of plywood that measures 1 yard on each side .he cuts the wood into 6 equal pieces .each piece is 1/3 yard wide and 1/2 yard long. what is the area of each piece that ben cuts. explain how the product 1/2x1/3 relates to the model
Answer:
Step-by-step explanation:
Ben has a piece of plywood that measures 1 yard on each side, and he cuts it into 6 equal pieces.
The width of each piece is 1/3 yard, and the length of each piece is 1/2 yard.
To find the area of each piece that Ben cuts, we can multiply the width and length of each piece:
Area = (1/3 yard) x (1/2 yard)
Area = (1/3) x (1/2)
Area = 1/6 yard^2
So each piece that Ben cuts has an area of 1/6 yard^2.
The product 1/2x1/3 relates to the model in that it represents the area of the piece. In other words, the length and width are multiplied to find the area of the piece.
In this case, we can see that Ben cuts the plywood into 6 pieces of equal area, which is 1/6 of a square yard.
11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55
Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.
The measure of the angle B of the triangle is 78.15 degrees
How to determine the possible solutions from the triangleFrom the question, we have the following parameters that can be used in our computation:
A = 25 degrees
a = 9.5 units
b = 22 units
Using the law of sines, the angle B is calculated as
sin(A)/a = sin(B)/b
So, we have
sin(25)/9.5= sin(b)/22
This gives
sin(b) = 22 * sin(25)/9.5
Evaluate
sin(b) = 0.9787
Take the arc sin of both sides
b = 78.15
Hence, the measure of the angle is 78.15 degrees
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a number is one more than twice the other number. their product is 36. what are the numbers
Answer:
Possible solution 1: -4.5 and -8
Solution 2: 4 and 9.
Step-by-step explanation:
Let the two numbers be a and b.
One of them (let it be b) is 1 more than twice the other one. In other words,
b= 1+ 2a.
Their product is 36. Or:
a(b) = 36.
Substitute b:
a(1+2a) = 36
2a^2 + a = 36
2a^2 + a - 36 = 0
This is now a quadratic. We can factor to solve it. Find two numbers that equals 2(-36)=-72 and add to 1. We can use 9 and -8. Thus:
2a^2 - 8a + 9a - 36 = 0
2a(a - 4) +9(a-4) = (2a+9)(a-4) = 0
So, a = -9/2 = -4.5 or a = 4.
Thus, b can equal 1 + 2(-4.5) = -8 or 1 + 2(4) = 9
6x x 6 + 75 = 10x - 9
Therefore, in the previous equation, 6x + 75 = 10x -9, the value of x is 4. It's really common to contrast expressions and phrases.
what is expression ?It is necessary to duplicate, divide, add, or subtract in mathematics. The following is how an expression are put together: Number, expression, and mathematical operator The components of a numerical method include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It's really common to contrast expressions and phrases. An language, often known as an algebraic expression, is any mathematical statement that rating systems, numbers, and then an arithmetic function between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
given
6x + 75 = 10x -9
Because 6x + 75 = 10x -9
6x -10 x = -9 - 75
-4x = -84
x = 21; the value of x is 4.
Therefore, in the previous equation, 6x + 75 = 10x -9, the value of x is 4.
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The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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