Answer:
y=x+1
x 1 2 3
y 2 3 4
y=2x-5
x 2 0 1
y 1 -5 -3
if the area is 1 then what is the side length of a square?
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
the measure of the total audience size for a given platform is determined by which metric?
Audience reach is a metric that is used to measure of the total audience size for a specific provide platform.
Audience reach answers the question of how many people have had the opportunity to consume (i.e. read, watch, and/or hear) news coverage of whatever you're watching. This metric is based on known circulation, viewership, audience size and followers of media outlets or social media users who publish the content in question. For the audience size of the publication/social media user providing the content is identified and then this number is added to the audience size of all other outlets publishing the content to give the total audience reach.
The first relates to viewership data for traditional online news content. Some in the measurement industry use the value of unique website visitors per month for audience reach calculations, while others use daily website traffic data. The second thing to keep in mind is that some PR or media measurement firms may use multipliers when calculating audience reach to account for dozens of people read that one copy.Hence, required answer is audiance reach.
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Evaluate the expression if a = 3, b = 4, and c = 2. Simplify, if possible.
Answer:
there is no expression
Step-by-step explanation:
there is no expression
-9x -13=-103 what is x
Answer:
10
Step-by-step explanation:
Step 1:
- 9x - 13 = - 103
Step 2:
- 9x = - 90
Step 3:
90 = 9x
Answer:
x = 10
Hope This Helps :)
What is 900x 5 to the 5 power
Answer:
\( 900^5x^{25} \)
Step-by-step explanation:
\( (900x^5)^5 = \)
\( = 900^5(x^5)^5 \)
\( = 900^5x^{25} \)
Find the area of the triangle. SHOW YOUR WORK so I can see if it makes sense. ( no links as answers)
Answer:
30in²
Step-by-step explanation:
Area of a triangle = ( base length times height ) / 2
Given base length = 10 in
Given height = 6 in
Area = ( 6 * 10 ) / 2 = 60 / 2 = 30in²
Answer:
30in²
Step-by-step explanation:
area of triangle= base×height/2
A company had returns of 5%, 10%, -15%, 20%, -12%, 22%, 8% in
the last few years. Compute the arithmetic average return,
geometric average return, variance, and standard deviation of
returns.
Refer to
Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.
Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
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Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
i just need the last one please
Answer:
7
Step-by-step explanation:
Answer:
I think its 10, from the mid point 41 then going to upper quarter and lower which is 27 and 37 so it means -10
What is the value of s in the equation 3r = 10 5s, when r = 10?
O 4
O 8
O 100
O 200
4 is the value of s in the equation 3r = 10 5s, when r = 10. Hence, option A is correct.
What is function?A function is an expression, rule, or law that establishes the relationship between an independent variable and a qualified variable. In mathematics, functions exist everywhere, and they are crucial for making physical links in the sciences.
The Given equation is
3r = 10 - 5s
and also told that r = 10.
Substituting r = 10 into the equation, we get:
3(10) = 10 - 5s
Simplifying:
30 = 10 - 5s
Subtracting 10 from both sides:
20 = -5s
Dividing both sides by -5:
s = -4
Since, the value of s in the equation 3r = 10 - 5s, when r = 10, is -4.
Thus, option A is correct.
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John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Use elimination to solve for x and y:
- 2x - y = 9
2x - 9y = 1
Answer:
x=-4, y=-1
Step-by-step explanation:
Given the following system of equations, solve the system using elimination.
\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)
(1) - Add the equations together
\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)
Notice how the x term was eliminated, hence the name for this method is "elimination."
(2) - Take the value we just found for y and plug it into either of the two equations and solve for x
\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)
(3) - Thus, the system is solved. When x=-4, y=-1.
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
Ms. Lauren Alexander, supply chain manager of ACR, Inc., is negotiating a contract to buy 25,000 units of a common component from a global supplier. Ms. Alexander conducted a thorough cost analysis on manufacturing the part in-house and determined that she would need $450,000 in capital equipment and incur a variable cost of $19.00 per unit to manufacture the part in-house. There is no fixed cost in purchasing the component from the supplier. What is the maximum purchase price per unit of component that Ms. Alexander should negotiate with her supplier?
The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.
In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.
Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.
Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.
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I need a answer fast thanks!
Answer:
Chart:
x y
-6 11
3 5
15 -3
-12 15
Step-by-step explanation:
The only things you can plug in are the domain {-12, -6, 3, 15}
Plug in the domain into equation to find y.
-6 :
y = -2/3 (-6) +7
y = +47
y=11
(-6,11)
3:
y = -2/3 (3) +7
y = -2 +7
y = 5
(3, 5)
15:
y = -2/3 (15) +7
y = -10 +7
y = -3
(15 , -3)
-12:
y = -2/3 (-12) +7
y = 8 + 7
y= 15
(-12,15)
Answer:
1) 11
2) 3
3) -3
4) -12
Step-by-step explanation:
eq(1):
\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)
1) x = -6
sub in eq(1)
\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)
2) y = 5
sub in eq(2)
\(x = (7-5)\frac{3}{2} \\\\x = 3\)
3) x = 15
sub in eq(1)
\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)
4)
sub in eq(2)
\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)
Sin L =
Tan N =
Cos L =
Sin N =
Answer:
Sin L =5/13
Tan N=3/4
Cos L=12/13
Sin N=3/5
Step-by-step explanation:
Hopes this help
if using the method of completing the square to solve the quadratic equation x^2-1+x-38=0, which number would have to be added to "complete the square"?
Step 1
Let the number to be added be = n
To make the equation a perfect square
\(b^2\text{ = 4ac}\)\(\begin{gathered} x^2\text{ - 11x - (38 + n) = 0} \\ a\text{ = 1, b = -11 , c = -(38 + n) = -38 - n} \end{gathered}\)\(\begin{gathered} b^2\text{ = 4ac} \\ (-11)^2\text{ = 4 x 1 x (-38 - n)} \\ 121\text{ = 4(-38-n)} \\ 121\text{ = -152 - 4n} \\ 4n\text{ = -152 - 121} \\ 4n\text{ = -273} \\ n\text{ = }\frac{-273}{4} \end{gathered}\)The number is -273/4
\(\text{.}\)x2 + y2 = 9
x + y = 2
Answer:
I think its 4,5. Not entirely sure but it makes sense
Please help I'm struggling!
\(\sqrt[4]{567x^9 y^{11}} ~~ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad ~~ ~ 3^4\cdot 7\\ x^9=x^{4+4+1}\\ \qquad ~x^4\cdot x^4\cdot x\\ y^{11}=y^{4+4+3}\\ \qquad ~~ y^4\cdot y^4\cdot y^3 \end{cases}\implies \sqrt[4]{3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3}\)
\(\left( 3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3\right)^{\frac{1}{4}}\implies 3^{\frac{4}{4}}\cdot 7^{\frac{1}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{1}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{3}{4}}\)
\(3\cdot 7^{\frac{1}{4}}\cdot x\cdot x\cdot x^{\frac{1}{4}}\cdot y\cdot y\cdot y^{\frac{3}{4}}\implies 3x^2y^2\cdot 7^{\frac{1}{4}}x^{\frac{1}{4}} y^{\frac{3}{4}} \implies 3x^2y^2(7xy^3)^{\frac{1}{4}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2y^2\sqrt[4]{7xy^3} \end{array}}~\hfill\)
determine whether the reasoning is an example of deductive or inductive reasoning. if you build it, they will come. you build it. therefore, they will come.
The reasoning provided, "If you build it, they will come. You build it. Therefore, they will come," is an example of deductive reasoning.
Deductive reasoning is a logical process that involves drawing specific conclusions based on general principles, premises, or known facts. In this example, the premise is "If you build it, they will come," which establishes a cause-and-effect relationship. The subsequent statement, "You build it," serves as a confirmation of the premise. From these premises, the conclusion is drawn: "Therefore, they will come." The conclusion logically follows from the premises, making it an example of deductive reasoning.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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how do u solve this
Solve the equation for w.
w divided by 4.4 minus 2.8 equals 11.5
62.92
38.28
3.25
1.97
Answer:
62.92
Step-by-step explanation:
6x/4=12 what does x=?
Answer:
x = 8
Step-by-step explanation:
6x/4 = 12
Multiply 4 on both sides to get rid of it:
6x = 4(12) = 48
Divide 6 on both sides:
x = 48/6 = 8
May I please receive help?
Answer:
m ∠ 2 = 19 * 3 = 57°
Step-by-step explanation:
m ∠ 1 = x
m ∠ 2 = 3x
m ∠ 1 + m ∠ 2 = 76°
3x + x = 76°
4x = 76°
Divide both sides by 4;
x = 19°
m ∠ 1 = 19°
m ∠ 2 = 19 * 3 = 57°
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 1 1 5 1 25 1 125
The sum of the convergent geometric series is 5/4, or 1.25. The given infinite geometric series is 1, 1/5, 1/25, 1/125, ...
To determine if this series is convergent or divergent, we need to examine the common ratio (r) between each term. The common ratio can be calculated by dividing a term by its previous term. For example, (1/5) / 1 = 1/5, (1/25) / (1/5) = 1/5, and so on. Thus, the common ratio (r) is 1/5.
A geometric series converges if the absolute value of its common ratio is less than 1 (i.e., |r| < 1). In this case, since |1/5| < 1, the series is convergent.
To find the sum of the convergent geometric series, we use the formula:
S = a / (1 - r)
where S is the sum of the series, a is the first term, and r is the common ratio.
Here, a = 1 and r = 1/5. Plugging these values into the formula, we get:
S = 1 / (1 - (1/5))
S = 1 / (4/5)
S = 5/4
Thus, the sum of the convergent geometric series is 5/4, or 1.25.
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3 1/3 + (-2 1/4) + 1 5/6
Help me out?
Answer:
its the second one
Step-by-step explanation:
7. Suppose that in the backup web-server problem that we discussed in class, the main server is more reliable than the backup server-the probability that the main server fails is 1% while the probability that the backup server fails is 5%. As in class, assume that the two servers fail independently.
With this modification, find the chance that:
a) Both servers fail.
b) Exactly one of the servers fails.
c) At least one of the servers fails.
d) Do you think the assumption that the two servers fail independently is realistic?
What would make it more realistic? What would make it less realistic?
a) The chance that both servers fail is 0.05% (or 0.0005). b) The chance that exactly one of the servers fails is 5.9%. c) The chance that at least one of the servers fails is 5.95%. d) The assumption that the two servers fail independently may not be entirely realistic in all scenarios.
To find the probabilities in this scenario, we can use the probabilities of the main server and backup server failing, assuming they fail independently.
Let's denote:
P(M) = Probability of the main server failing = 0.01 (1%)
P(B) = Probability of the backup server failing = 0.05 (5%)
a) To find the chance that both servers fail, we need to calculate the probability of the intersection (AND) of the events:
P(both servers fail) = P(M) * P(B) = 0.01 * 0.05 = 0.0005 (0.05%)
b) To find the chance that exactly one of the servers fails, we can calculate the probability of the union (OR) of the mutually exclusive events:
P(exactly one server fails) = P(M) * (1 - P(B)) + (1 - P(M)) * P(B)
= 0.01 * (1 - 0.05) + (1 - 0.01) * 0.05
= 0.01 * 0.95 + 0.99 * 0.05
= 0.0095 + 0.0495
= 0.059 (5.9%)
c) To find the chance that at least one of the servers fails, we can calculate the probability of the complement (NOT) of both servers being operational:
P(at least one server fails) = 1 - P(both servers work)
= 1 - (1 - P(M)) * (1 - P(B))
= 1 - (1 - 0.01) * (1 - 0.05)
= 1 - 0.99 * 0.95
= 1 - 0.9405
= 0.0595 (5.95%)
d) The assumption that the two servers fail independently might not be entirely realistic in all scenarios. Factors such as shared infrastructure, common vulnerabilities, or external factors can introduce dependencies between the failure probabilities of the servers. If there are dependencies or shared factors that could cause correlated failures, the assumption of independence becomes less realistic.
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A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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In the diagram what is the measure of angle 1
Answer:
98
Step-by-step explanation:
Angle 1 is 180 - 82