Answer:
The values of x and y that will minimize the cost is 15 ft and 5 ft respectively and the minimum cost will 3,375
Step-by-step explanation:
With a 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water, x is the length, y is the height;
x^2*y = 1125
y = 1125/x^2 ----(1)
The total cost of c = 5(x^2 + 4xy) + 10xy
Then,
c = 5(x^2 + 4x*(1125/x^2)} + 10x*(1125/x^2)
c = 5x^2 + 22,500/x + 11,250/x
c = 5x^2 + 33,750/x
To minimize the cost of c, find the derivatives of c; c'
c' = 10x - 33,750/x^2
c' = (10x^3 - 33,750)/x^2
c'(x) = 0; 10x^3 = 33,750
x = ³√33,750 = 15
x = 15; y = 1125/x^2
y = 1125/15^2 = 5
(x,y) = (15,5)
c = 5x^2 + 33,750/x
c = 5*15^2 + 33,750/15 = 3,375
The values of x and y that will minimize it is 15 ft and 5 ft respectively and the minimum cost will 3,375
The values of x and y that will minimize the cost is 15ft and 5ft. The minimum cost is 3,375
We have volume of a rectangular tank = 1125 ft^3
Side of a rectangular tank = x ft and
Length of a rectangular tank =y ft
So, [tex]x^2y = 1125[/tex]
[tex]y = \frac{1125}{x^2} ...(1)[/tex]
The total cost of rectangular tank (c) = [tex]5(x^2 + 4xy) + 10xy[/tex]
[tex]c = 5(x^2 + 4x(\frac{1125}{x^2} ) )+ 10x(\frac{1125}{x^2} )\\c = 5x^2 +\frac{22,500}{x} + \frac{11250}{x} \\c = 5x^2 + \frac{33750}{x}[/tex]
Differentiating it w.r.t x, we get
[tex]c' = 10x - 33,750/x^2\\c' =\frac{10x^{3}-33750 }{x^{2} } \\c'(x) = 0\\10x^3 = 33,750\\x = \sqrt[3]{33,750} \\ = 15\\x = 15; y = \frac{1125}{x^2} \\y = \frac{1125}{15^{2} } \\= 5\\(x,y) = (15,5)\\c = 5x^2 + \frac{33750}{x} \\c = 5(15)^2 + 33,750/15 \\= 3,375[/tex]
The values of x and y that will minimize the cost is 15 ft and 5 ft and the the minimum cost is 3,375.
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A store sells a package of 25 trading cards for $5.25. What is the unit price per card?
4/3C, when C=6
show your work here
4 divided by 3C
If C equals 6, then the equation now looks like 4 divided by 3(6).
3 x 6 = 18.
4 divided by 18 is .22 repeating.
This may be wrong. Check with another answer.
Answer: 2/9
Work: So, you are going to get the equation after plugging in the number 4/3(6), after simplifying even more, you get 4/18. Then you simplify again and divide both sides (Numerator and denominator) and you get 2/9.
I hope this helps, and Happy Holidays! :)
Please help! im struggling
no trolls help asap pls!!
Answer:
Cannot be proven congruent due to it being AAA
HELP FAST PLZZZZ Use what you know about angles to solve for X.
105°
(2x-11)°
Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip?
x/3 + x/5 = 1 hr
8x/15 = 1 hr
x = 15/8
15/8 times 2 for round trip. 15/4 miles or 3.75 miles total
50!!!!! Points If Jess wants to graph the solution to the system of equations below,
which of the following graphs would represent the solution?
ſ3x - y = -1
(x+y - 5
The graph that represents the solutions to the system of equations is Option A.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
3x - y = -1 _____(1)
x + y = 5 ______(2)
From (1),
3x + 1 = y
From (2),
y = 5 - x
The point of intersection is (1, 4).
3x + 1 = 5 - x
4x = 4
x = 1
Putting x = 1 in (2).
1 + y = 5
y = 5 - 1
y = 4
The graph on option A has the point of intersection at (1, 4).
Thus,
The graph that represents the solutions to the system of equations is Option A.
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1. ¿Cuál de las siguientes fracciones es una fracción MIXTA ?
(2 Points)
O 3 8/6
O 9/3
O 3 6/8
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
9514 1404 393
Answer:
x > 1
Step-by-step explanation:
The open dot at (1, 2) tells you that point is not in the domain. Apparently, the piece represented by f(x) = x+1 extends to +∞ from x = 1.
the domain of the piece is x > 1
Answer:
x>1
Step-by-step explanation:
please help asap please
Answer:
2/5
Step-by-step explanation:
Jackson wants to save more than $350 for his summer vacation. Which of the following number lines represents the inequality showing how much money (m) Jackson wants to save
Answer:
The answer would be D the fourth option
Step-by-step explanation:
Answer:
THX 4giqhwrgwnxthni43gjlregyirjhlrkgjwnrntp98xwwwwwwweromrutkrenog
Step-by-step explanation:
Which list contains values that are all part of the solution set of the graphed inequality?
2, 1, 3.9, 4
1.3, 4, 0, 2.6
1.1, 1.5, 19.7, 8.2
11, 1, 48.5, 7
Answer:
you're answer will be C.
Step-by-step explanation:
have a great day or night✨
Answer:
C. 1.1, 1.5, 19.7, 8.2
Step-by-step explanation:
help me quick!!!!!!,!,!!
Answer:oof
Step-by-step explanation:
The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month.
The historical average for rainfall in Albuquerque, NM for June, July, and August is shown in the table.
June 0.67 inches
July 1.5 inches
August 1.57 inches
Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall for last June? Answer with decimals.
The departure from the average rainfall last July was -0.36 inches. How much rain fell last July? Answer with decimals.
How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months? Answer with decimals.
What would the departure from the average be in August in that situation? Answer with decimals.
The actual rainfall for last June is 0.5
1.14 is the amount of rain that fell last July.
2.43 is how much rain would have to fall for August to match the three months average
0.86 is the departure from the average in August
Step-by-step explanation:
1. 0.67-0.17 = 0.5
2. 1.5-0.36 = 1.14
Step-by-step explanation:
a) 0.5 inches. The difference between the average rainfall and the actual rainfall for last June is 0.67-0.17=0.50 inches.
b) 1.14 inches. Because the departure from the average was negative, the actual rainfall was 0.36 inches less than the average rainfall. Thus, 1.5-0.36=1.14 inches was the actual rainfall last July.
c) 2.43 inches. The average rainfall for these three months is 0.67+1.5+1.57=3.74 inches. Last June it rained 0.17 inches and last July it rained 1.14 inches. So, it would need to have rained 3.74-0.17-1.14=2.43 inches last August so that the total amount of rain equaled the average rainfall for these three months.
0.86 inches. The departure from the average would then be 0.86 inches since 2.43-1.57=0.86 inches.
Merry Christmas
A survey of over 7,000 randomly selected employees in 15 nations recently showed that employees who work
in a digital workplace tended to be happier than those who don't work in a digital workplace.
Can we conclude that working in a digital workplace caused employees to be happier? Why?
Answer:
Not necessarily, because this wasn't an experiment.
Step-by-step explanation:
Making conclusion based on the result of the survey about the happiness of employees due to the fact that they work in a digital workplace is inaccurate.
Statistical tests may not be enough to make generalization about the entire population due to the presence of a possible confounding or third variable unless established using scientific evidence.
Therefore, the lack of scientific evidence means that concluding that working in a digital workplace causes employee happiness is inaccurate.
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For the problem 4 x 2/3, Dawn says the answer is 6. Marry Anne says the answer is 3 1/3. Stacy says it is 2 2/3. Who is correct?
Answer:
Stacy is correctStep-by-step explanation:
Solving the problem
4×2/3 = 8/3 = 2 2/3Stacy is correct
Answer:
[tex]\huge 4 \times \frac{2}{3} = \frac{8}{3} =\boxed{2 \frac{2}{3} }[/tex]
Hence, Stacy is correct.The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob's error? One of the means is incorrect, but the reasoning is correct. Both of the means are incorrect, and the reasoning is also incorrect. Both of the means are correct, but the reasoning is incorrect. O One of the means is incorrect, and the reasoning is also incorrect.
Answer:
Answer is C: Both of the means are correct, but the reasoning is incorrect.
Step-by-step explanation:
Check picture because Im bad at explaining
Hope it helps :3
Both of the means are correct, but the reasoning is incorrect explains Jacob's error. Thus option C is correct.
What is mean?There seem to be various mean types in algebra, particularly in statistics. Each average helps to summarize a certain sample of statistics, frequently to help figure out the general significance of a specific data set. The average of a group of variables is referred to as the mean in both statistics as well as mathematics.
Jacob discovered that Team A's maximum elevation is 71 and Team B's average height is 72. He thinks that since Team B's mean is higher, its mean absolute deviation must likewise be higher. There the sum of the data is taken and not the value decides what will be the desired mean.
Therefore, option C is the correct option.
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Help plz:)))I’ll mark u Brainliest
Answer:
The answer is A
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY!!
3. choice a (work shown in attached image)
4. Choice a (work shown in attached image)
Answer:
3a and 4a
Step-by-step explanation:
3. v = [tex]\pi r^{2} h[/tex]
v = 3.14 x 4.1^2 x 5
v = 263.917 or 263.92
4. v = 4/3[tex]\pi r^{3}[/tex]
v = 4/3 x 3.12 x 3.65^3
v = 203.59
HELP ME PLEASE! I DONT HAVE THAT MANY POINTS SO IT WORTH THE REST OF MY POINTS!
Answer:
1) 8
2) 20
3) 10.8
4) -25
5) 7
6) 3/2
Step-by-step explanation:
How does saving money in an account with compound interest help protect you from inflation?
Answer:
Inflation is caused by the increase in prices of goods, and as prices of goods rise, the value of money itself would decrease. By saving money in a savings account with interest that might be equal or more than the level of inflation, your money would increase, which protects you from the devaluation of the savings you hold and the rising prices of goods.
I just need the answer
Answer:
D
Step-by-step explanation:
x is higher than -2 so the colored line is an estimation of where x is
will give brainliest! thanks :)
Answer: A
Step-by-step explanation:
Answer:
A is the answer
Step-by-step explanation:
Congruent means same size and the same shape, but they may not be the same orientation
a vendor bought n dozen eggs at the rate of 22.6 of the rotating he sold the remaining acts at the rate of 2.50 per act find his profit or loss
Answer:
Your question was a bit confusing so I found another related question. You can reference it with your own details.
A vendor bought 10 dozen eggs at the rate of Rs 22 per dozen. Six of the eggs were rotten. He sold the remaining eggs at the rate of Rs 2.50 per egg . Find his profit or loss
Vendor bought 10 dozen eggs which means the vendor bought:
= 10 * 12 eggs
= 120 eggs
6 were rotten and he sold the rest for Rs. 2.50 per egg.
= (120 - 6) * 2.5
= Rs. 285
The amount he spent on the eggs was:
= 10 dozen * 22
= Rs. 220
Profit = 285 - 220
= Rs. 65
Find the original price. Discount is 30%. Sale price is $206.50
evaluate each expression |-16| -|-1|
Understanding the Absolute Value.
First, know what the absolute value is.
The absolute value is the value that determines how far the value is from 0.
For example, The absolute value of -5 is far from 0 5 units. Therefore the absolute value of -5 equals 5.
Basic Absolute Value Defines
| a | = a
- | a | = -a
| - a | = a
Back to the question. To evaluate those expressions, we use the defines of absolute value.
|-16| = 16
|-1| = 1
16-(1)
Then remove the brackets. 16 - 1 = 15
Therefore, the answer is 15.
The answer above is when being subtracted and evaluated from both 16-1
Evaluating for each expressions would be
|-16| = 16
-|-1| = -1
Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
if the lines are tangent, than we will have
one side = 4.4+9=13.4
the side with 8.7
8.7+9=17.7
the other side has the side as following
8.7+4.4=13.10
P=13.4+17.7+13.10=44.20 last choice
Assume that random guesses are made for multiple choice questions on an SAT test, so that there are n = 8 trials, each with probability of success (correct) given by p = 0.25. Find the indicated probability for the number of correct answers. Find the probability that the numbers of x of correct answers is fewer than 4.
Answer:
Concept: Statistical Modeling
N= 8 trials P= 0.25 or 1/4 chance You have 8 * 1/4 = 2 correct[tex](p < .50) = \frac{1}{8} [/tex]PLEASE ASAP, question in photo
Answer:
m<5 = 142
Step-by-step explanation:
Will mark the brainliest
Answer:
Chicken wing chicken wing hot dog and bologna chicken and macaroni chilling with my Homies because I’m not a macaroni
Step-by-step explanation: