Answer and explanation:
Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.
Decision variables above include:
Number of Aqua-Spa Produced.
* Number of Hydro-Lux Produced.
* Number of Pumps Purchased.
* Amount of Available Labor Hours.
* Amount of Available Tubing Available
Prove that the value of the expression a^2–a is divisible by 2 for any whole value of a.
Answer with explanation:
To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]
Here, a and (a-1) are two consecutive numbers such that,
either of them must be an odd number and an even number.
i.e. a(a-1)= Product of even and an odd number = Even number [Trivial statement]
⇒ a(a-1) is divisible by 2 [Every even number is divisible by 2.]
⇒ [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Hence proved.
Order these numbers from least to greatest.
3.108, 5.57, 3.7, 3.18
Step-by-step explanation:
3.1083.183.75.57think it's right :)
what is the product? 1/2*[12,64 -78,30]
the triangles below are similar.
Answer: 54
Step-by-step explanation:
Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.
Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.
i don’t understand inequality quite much so can y’all explain this:
-3x + 1 ≤ -5
Answer:
this statement says that the sum of -3 times x and 1is equal to or smaller than -5
What are two equivalent fractions to 9/15
Answer:
3/5 and 18/30
Step-by-step explanation:
Extending answer so I can send
Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm
Answer:
147.03 sq.cm.
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this parallelogram(you don't need the 10.1):
16.9·8.7=147.03
Classify the function. y=2x^3 - 4x^2 - 160x
If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys
Answer:
b right handed boys
Step-by-step explanation:
During a 5-year period, 24% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
Answer: my 8 year old step sis likes me
Step-by-step explanation: plz help
y
D"
B
B"
A"
F1
А
Nt
-3
1
A
D'
+-1
-2
B
C
The figure shows three parallelograms: ABCD, ABCD, and A'B'C'D'.
If mGHJ = 27 and mGHK = 87, what is the measure of mJHK
Answer:
114 degrees
Step-by-step explanation:
From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:
m<JHK = 27 degrees+ 87 degrees = 114 degrees
2(x+1)^2=32
Help pls
Answer:
2x+2x2=32
2x+4=32
Step-by-step explanation:
Solve the inequality.
2>6-3r
The solution is
Answer:
r=9
Step-by-step explanation:
Brandon has a jar of quarters and dimes with a total value of $7.85. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answer:
dimes=8
quarters=12
Step-by-step explanation:
the total value 380 cents
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
What is the Percentage of 23000?
Answer: 0.00435 If you do it by one.
0.0087 if you do it by two. And-
0.01304 if you do it by three.
I really hope this helps have a good day :)) (pls make brainliest im trying to each a goal!)
Step-by-step explanation:
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
1) How many terms does the expression r- 9 + 5.5 have? Explain.
Answer:
The first term is 9 and the second term is 5.5, and the third term is r.
Step-by-step explanation:
Hope this helps! ^^
(9x+5)-(6x-8) please help.
Answer:
3x-3 i think
Step-by-step explanation:
9x-6x = 3x 5-8 = -3
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Answer:
just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on
Step-by-step explanation:
The amount of money in an account, n, is increased by 4%. Which expression represents the
total value in the account?
A) 1.04
B) 0.04
+ 1.04
D) n + 0.04
ОВ
ОА
ОС
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Next
Answer:
howwwwwww\
Step-by-step explanation:
so u ae so smart
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
please help ppppppppppppp
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
can someone help help meee fasttt!
Answer:
2
Step-by-step explanation:
Plug in all of the values then solve using order of operations
y+(x^2)z
4+(-1^2)(-2)
4+1(-2)
4+(-2)
4-2=2
Use inverse operations to solve the equation.
r - 18.7 =-6.6
Answer:
r = 12.1
Step-by-step explanation:
r - 18.7 = -6.6
+ 18.7 + 18.7 ( add 18.7 to both sides)
r = -6.6 + 18.7
r = 12.1
brainliest? :)
(a+b)2= -------/
correct answer please
Answer:
[tex]a^{2}+2ab+b^{2}[/tex]
Step-by-step explanation: Use pascal triangle or foil method
DO NOT TAKE POINTS!!! Answer this question with what it is asked for. If you have a comment put it in the comment section.
Please explain your thinking and complete the question
Answer:
See the attached
Step-by-step explanation:
The answer is in the attached picture
Can someone help me with these please , I don’t understand how I got them wrong :/
Answer:
You got it right don't worry!
Step-by-step explanation:
It's most likely because the forms can be kinda tricky. If you don't put the exact answer your teacher put as correct, then it will mark it as wrong. I'd say just ask your teacher to look it over.
Write the percent as a fraction in simplest form.
36% =
Answer:
36%= 9/25 in fraction form (:
Answer:
36/100 sorry if wrong
Step-by-step explanation: