A company operates on two types of servers: 3 large servers (L) and 2 smaller servers (S), with a combined total of 96GB RAM. The other day a large server and a small server blew out reducing the total RAM to 60GB. How much RAM does each large server (L), and each small server (S) have?
Answer:
large: 24 GBsmall: 12 GBStep-by-step explanation:
The problem statement gives two relations between numbers of servers and their total RAM. Those can be used to find the RAM each size server has.
__
setupLet L and S represent the number of GB of ram held by a large server and a small server, respectively.
3L +2S = 96 . . . . . . total RAM when all are on-line
2L +1S = 60 . . . . . . after loss of one server of each type
solutionSubtracting the first equation from twice the second, we have ...
2(2L +S) -(3L +2S) = 2(60) -(96)
L = 24 . . . . . . . simplify
S = 60 -2L = 60 -48 = 12 . . . . use the second equation to find S
A large server has 24GB of RAM; a small server has 12GB.
A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
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If there were 1,000 cars in a line with an average car length of 10.8 feet, how long would the line be in feet? Assume that the cars are lined up bumper-to-bumper.
Answer:
10,800 feet
Step-by-step explanation:
1000 * 10.8 because there are 1000 cars each 10.8 feet long
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what part of the expression is a term a.5 b.+ c.6x+ 5 d. x
PLEASE MARK BRAINLIEST!
Answer:
If I am not mistaken, the equation is:
6x + 5
So the terms are:
6x 5The coefficient is:
6The variable is:
xThe constant is:
5I hope this helps! Your question was a bit unclear...
- sincerelynini
Teresa takes 6 people, including herself, to lunch at a restaurant that charges $7.95 per person, including tax and tip. If she pays using $20 bills, how much change will Teresa get back?
Answer: $12.05
Step-by-step explanation: Taking as Teresa is paying for herself, and there’s no other evidence that $7.95 is the only price that she has to pay, we can calculate the total that she gets back by subtracting the $20 she uses to pay by the total, $7.95 to get an answer of $12.05. I hope this is right, and if it is, I hope it helped! :)
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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A student wants to know which type of pizza the students at his high school prefer. Which
option would give a unbiased, representative sample:
Average
Answer:
Step-by-step explanation:
In November 1998, former professional wrestler Jesse “The Body” Ventura was elected governor of Minnesota. Up until right before the election, most polls showed he had little chance of winning. There were several contributing factors to the polls not reflecting the actual intent of the electorate:
Ventura was running on a third-party ticket and most polling methods are better suited to a two-candidate race.
Many respondents to polls may have been embarrassed to tell pollsters that they were planning to vote for a professional wrestler.
The mere fact that the polls showed Ventura had little chance of winning might have prompted some people to vote for him in protest to send a message to the major-party candidates.
But one of the major contributing factors was that Ventura recruited a substantial amount of support from young people, particularly college students, who had never voted before and who registered specifically to vote in the gubernatorial election. The polls did not deem these young people likely voters (since in most cases young people have a lower rate of voter registration and a turnout rate for elections) and so the polling samples were subject to sampling bias: they omitted a portion of the electorate that was weighted in favor of the winning candidate.
SAMPLING BIAS
A sampling method is biased if every member of the population doesn’t have equal likelihood of being in the sample.
So even identifying the population can be a difficult job, but once we have identified the population, how do we choose an appropriate sample? Remember, although we would prefer to survey all members of the population, this is usually impractical unless the population is very small, so we choose a sample. There are many ways to sample a population, but there is one goal we need to keep in mind: we would like the sample to be representative of the population.
Returning to our hypothetical job as a political pollster, we would not anticipate very accurate results if we drew all of our samples from among the customers at a Starbucks, nor would we expect that a sample drawn entirely from the membership list of the local Elks club would provide a useful picture of district-wide support for our candidate.
One way to ensure that the sample has a reasonable chance of mirroring the population is to employ randomness. The most basic random method is simple random sampling.
Find the length of HI
Pls help
hello what is this answer 52.99290 rounded up
Answer:
53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
PLEASE HELP! YOU WILL GET A LOT OF POINTS IF YOU ANSWER CORRECTLY! :
If a pea plant had heterozygous genes for height, what would its phenotype be? T=Tall and t= short.
Question 7 options:
A. Tall
B. Ts
C. Short
D. Tt
Answer:
D
Step-by-step explanation:
Consider the following statements:
p: Niagara Falls is in New York.
q: New York City is the state capital of New York.
r: New York City will have more than 40 inches of snow in 2525.
The statement p is true, and the statement q is false. Represent each of the following
(a) If Niagara Falls is in New York, then New York City is the state capital of New York. statements by a formula. What is their truth value if r is true? What if r is false?
(b) Niagara Falls is in New York only if New York City will have more than 40 inches of
(c) Niagara Falls is in New York or New York City is the state capital of New York
(d) For New York City to be the state capital of New York, it is necessary that New York
(e) For Niagara Falls to be in New York, it is sufficient that New York City will have snow in 2525 implies that New York City will have more than 40 inches of snow in 2525 City will have more than 40 inches of snow in 2525 more than 40 inches of snow in 2525.
Correct order of question is;
Consider the following statements:
p: Niagara Falls is in New York.
q: New York City is the state capital of New York.
r: New York City has more than 40 inches of snow in 2525.
The statement p is true, and the statement q is false. Represent each of the following by a formula. What is their truth value if r is true? What if r is false?
(a) If Niagara Falls is in New York, then New York City is the state capital of New York. statements by a formula.
(b) Niagara Falls is in New York only if New York City will have more than 40 inches of
(c) Niagara Falls is in New York or New York City is the state capital of New York implies that New York city will have more than 40 inches of snow in 2525
(d) For New York City to be the state capital of New York, it is necessary that New York city would have more than 40 inches of snow in 2525
(e) For Niagara Falls to be in New York, it is sufficient that New York City will have more than 40 inches of snow in 2525
Answer:
A) p⇒q is false
B) p⇒r is false if r is false
C) (p V q) ⇒r is false is r is false
D) q⇒r is true whether or not r is true or false.
E) r⇒p is true whether or not r is true or false.
Step-by-step explanation:
We are given;
p: Niagara falls is in Now york to be true
q: New york city is the slate capital of New york to be False
r: New York city will have more than 40 inches of snow in 2525.
A) it's trying to say that if p is true, then q is true. But from the given statements, it doesn't follow because we are told p is true and q is false. Thus, we can write it as;
p⇒q is false
B) They are trying to suggest that p is true when r is true.
From given statements, p is true but r could either be true or false. Thus, we can write this as;
p⇒r is is true if r is true
Also, p⇒r is false if r is false
C) The statement implies that;
(p V q) ⇒r. However, again since r could either be false or true, we can say that;
(p V q) ⇒r is true if r is true
And (p V q) ⇒r is false is r is false
D) This statement suggests that q is true with r being true.
This can be written as;
q⇒r is true whether or not r is true or false.
E) This statement suggests that for r to be true, then p is true.
Thus;
r⇒p is true whether or not r is true or false.
4. Given the three side lengths, how can you tell if a triangle is a right triangle. Explain your
reasoning.
help please
Answer:
Pythagorean Theorem!
Step-by-step explanation:
If we look at the Pythagorean theory, it states that if you square the two largest sides of a triangle! Another way to see this is by squaring all the side lengths! Once you do that, check if the longest two side lengths are equal to the sum of the SQUARED LENGTHS of the side length (the two longest ones) then it's a right triangle.
awnser this for 5 points do you use this app.bc ur lazy and don't want to think
Answer:
No but when I don't understand something it helps
Step-by-step explanation:
and I'm not lazy either
Need answer ASAP!!!!!! will give brainliest and 50 points!!!!!!!!!!
Use vector operations to draw the resultant vector.
b) Draw 2u – 1 /3 v.
Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw the vector 2u - 1/3vThe vector expression is given as:
2u - 1/3 v
Split the vector expressions, as follows:
\(y_1 = 2u\)
\(y_2 = -\frac13v\)
See attachment for the graphs of y1 and y2.
Next, we have:
\(y = 2u - \frac13v\)
So, we have:
\(y = y_1 + y_2\)
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of 2u - 1/3 v
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If your goal is to retire with at least $1 million, how long would it take—and how much would you need to invest each month—if your anticipated rate of return is 10%? At what age could you retire if you started investing at age 25?
Answer:
There is no simple one size fits all answer to this question, because I need a few more variables to solve it. Or you can go to bankrate.com and use the millionaire calculator and figure it out on your own. I put a sample in the photo.
Hope this helps!;)
Step-by-step explanation:
1. Your age= 25
2. Target age=? obviously you don't want to be too old to spend it.
3. Current investments=? how much are you starting with 0 or more?
4. Savings per month=? only you know how much you can set aside out of your income
5. Expected rate of return=10%
6. Expected inflation rate= 2.9% (last I heard 2021)
125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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determine the area (in units2) of the region between the two curves by integrating over the y-axis. x
The area of the region between the two curves by integrating over the y-axis, x = y² and x = 9 is 18 square units.
Total Area inclosed between line and Curve:The area where the "area under the curve" is common to both the straight line and the given curve is called the bounding area. Therefore, the area common to both can be found by subtracting the area under line T from the area under curve C. The x constraint for computing the area under the curve can be found by solving the system of equations for the coordinates of the intersection of the line and the curve.
We have given the curve , x = y² and line x = 9 and bounded region is A in above graph of x = y² and line x = 9.
Now, we determine the intersection points of curve and line,
put x = 9 in curve equation we get,
y² = 9 => y = +-√9
= + 3 or -3
Total area bounded by curve and line, A = integration of curve over y from y = -3 to y= 3
= ₋₃∫³x dy = ₋₃∫³y² dy = ₋₃[ y³/3]³
= [ (3)³/3 - (-3)³/3]
= 9 + 9 = 18
Hence, the required area is 18 square unit.
Complete question:
determine the area (in units2) of the region between the two curves by integrating over the y-axis. x = y² , x = 9
For a year, Charlie records the balance of his checking account at the
end of each month. His data can be represented by a linear model,
y = 213.73x + 75.62, where x is the number of months, and y is the
account balance.
Answer
so just add and you should get your
Step-by-step explanation:
add
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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Calculate.
12C4
Note: Cr=
n
n!
r!(n−r)!
Answer:
495
Step-by-step explanation:
using the definition
n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)
where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1
then
12\(C_{4}\)
= \(\frac{12!}{4!(12-4)!}\)
= \(\frac{12!}{4!(8!)}\)
cancel 8! on numerator/ denominator
= \(\frac{12(11)(10)(9)}{4!}\)
= \(\frac{11880}{4(3)(2)(1)}\)
= \(\frac{11880}{24}\)
= 495
no one helps me please help
Answer: I know the *Answer* It is B ,D,E I got a A+ in my Quiz
Stepby-step explanation: Hope it Helps!
if y+1/y=5 then show that (y^3+1/y^3)=110
Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8.
Answer:
Add 3.8 to both sides of the equation.
Step-by-step explanation:
12w−3.8=12.4
Add 3.8 to both sides.
12w=12.4+3.8
Add 12.4 and 3.8 to get 16.2.
12w=16.2
Divide both sides by 12.
w= 12/16.2
Expand 12/16.2 by multiplying both numerator and the denominator by 10.
w= 162/120
Reduce the fraction 162/120 to lowest terms by extracting and canceling out 6.
w= 27/20 also equal to 1.35
Answer:
A
Step-by-step explanation:
Does f(x) mean ftimes x when referring to a functionſ? if not, what does f(x) mean? Provide an example with your explanation,
Answer:
f(x) - when referring to a function - means that x is the input value that you substitute into an equation.
For example, if f(x) = 2x + 3 and you were asked to find f(2), you could substitute x = 2 into the equation 2x + 3 to get 7.
Hope this helps!
Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =
22 sit ups in 2 days = how many sit ups on 6 day
Step-by-step explanation:
2 days=22 sit ups
1 day=22/2 sit ups
6 days=22/2×6 sit ups
=66 sit ups
Answer:
66
Step-by-step explanation:
So if someone does 22 sit ups in 2 days means they do 11 sit ups for 1 day meaning if they do it for 6 days thy did 66 sit ups
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Along with calculating the ratios, what else is needed for your report?
options:
Making observations and identifying trends that are suggested by the ratio analysis
Identifying the factors that drive the trends in the ratios
Both of the above
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called ________ ratios.
These ratios, which help determine how efficiently a firm is using its assets to generate sales are called _______ ratios.
Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called _________
Answer:
Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial
statements:
⚫Balance Sheet
•Income Statement
⚫Statement of Cash Flows
.5 Categories
The five (5) major categori in the financial ratios list include the following:
•Liquidity Ratios
•Activity Ratios
•Debt Ratios
•Profitability Ratios
•Market Ratios
Step-by-step explanation:
Sana makatulong
Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.
Explanation:In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:
Ratios that help determine whether a company can access its cash and pay its debts that mature in less than a year are called Liquidity Ratios.Ratios which help determine how efficiently a firm is using its assets to generate sales are called Activity Ratios.Ratios that help assess a company’s ability to service the interest and repayment obligations on its long-term debt and the degree to which it uses borrowed versus invested financial capital are called Leverage Ratios.
However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.
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A garden is sodded in the shaded portion below. How many square feet were covered with sod?
Answer:
Step-by-step explanation: