On average, water flows over a particular water fall at a rate of 2.09\times 10^(5) cubic feet per second. One cubic foot of water weighs 62.4 Ib. Calculate the rate of water flow in tons of water per day.
Answers
The rate of water flow over the waterfall is approximately 3,817.41 tons of water per day.
To convert the volume from cubic feet to tons, we need to divide the given rate of water flow (2.09 × 10^5 cubic feet per second) by the conversion factor of 1 cubic foot = 7.48052 × 10^(-4) tons.
Next, to convert the weight from pounds to tons, we multiply the volume (in tons) by the weight of one cubic foot of water, which is 62.4 pounds per cubic foot. The conversion factor is 1 pound = 2.20462 × 10^(-3) tons.
Finally, to calculate the rate of water flow in tons per day, we multiply the rate of water flow in tons per second by the number of seconds in a day (24 hours × 60 minutes × 60 seconds).
Performing the calculations, we find the rate of water flow in tons of water per day to be approximately 3,817.41 tons.
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Related Questions
Calculate the slope of the line. Please help and explain!!
Answers
Answer:
1/3 because you go up one and right three until the line and the grid prefectly intersect
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answers
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Can someone help me with question 4 a and b
Answers
a) Julie made a profit of $405.
b) the selling price of the bike was $3105.
a) To calculate the profit that Julie made, we need to determine the amount by which the selling price exceeds the cost price. The profit is given as a percentage of the cost price.
Profit = 15% of $2700
Profit = (15/100) * $2700
Profit = $405
Therefore, Julie made a profit of $405.
b) To find the selling price of the bike, we need to add the profit to the cost price. The selling price is the sum of the cost price and the profit.
Selling Price = Cost Price + Profit
Selling Price = $2700 + $405
Selling Price = $3105
Therefore, the selling price of the bike was $3105.
In summary, Julie made a profit of $405, and the selling price of the bike was $3105.
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What is 4,490.9 rounded to the nearest hundred?
Answers
Answer:4,500
Step-by-step explanation:
Answer:
yeah, it is 4,500
Step-by-step explanation:
:))))))
Why a sample is always smaller than a population?
Answers
Answer:
A sample is a subset of the population.
Evaluate 3/4+(1/2+1/4)^2⋅2
Answers
Answer:
1 7/8
Step-by-step explanation:
Exact Form 15/8
Decimal Form 1.875
Mixed Number 1 7/8
5. Write two expressions for the area of the big rectangle.
Answers
Answer:
Two expressions for the area are;
i) x/3 + 2·y + 6
ii) (1/3) × (x + 6·y + 18)
Step-by-step explanation:
The given dimension of the rectangle are;
The height of the rectangle, h = 1/3
The width of the smallest rectangle, w₁ = x
The width of the med sized rectangle, w₂ = 6·y
The width the large rectangle, w₃ = 18
The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;
A = A₁ + A₂ + A₃
Where;
A₁ = The area of the smallest rectangle
A₂ = The area of the mid sized rectangle
A₃ = The area of the large rectangle
∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6
The area of the big rectangle. 'A', can also be found as follows;
A = (1/3) × (x + 6·y + 18)
Therefore, two expressions for the area of the big rectangle are;
x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).
Divide the polynomials.
Your answer should be in the form p(x) +
x²_ 7
x +3
=
k
where p is a polynomial and k is an integer.
x+3
Answers
The given polynomials are x² - 7x + 3 and x + 3. Dividing x² by x gives x. Multiplying x + 3 by x gives x² + 3x.
Subtracting (x² - 7x + 3) - (x² + 3x) gives -10x + 3. So, the division of polynomials is: x - (10x - 3)/(x + 3) = p(x) + k
where p(x) is the quotient polynomial, k is the remainder, and x + 3 is the divisor.
To divide two polynomials, we need to use the long division or synthetic division method. In this case, we will use the long-division method. First, we divide the leading term of the dividend (x²) by the leading term of the divisor (x), which gives x as the quotient.
Next, we multiply the divisor (x + 3) by x, which gives x² + 3x. We subtract (x² - 7x + 3) - (x² + 3x) to get -10x + 3 as the remainder. We then bring down the next term (-10x) and repeat the process until we reach the constant term (3).
The result is the quotient polynomial (x - (10x - 3)/(x + 3)) plus the remainder (3). So, the final answer is x - (10x - 3)/(x + 3) = p(x) + k, where p(x) is the quotient polynomial, k is the remainder, and x + 3 is the divisor.
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What type of correlation is shown by the graph?
Answers
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
(URGENT!!) In the diagram, △FEL∼△JOS. Which ratios are equivalent to tanF? Select all that apply.
Responses
EF/EL
EL/EF
EL/FL
FL/EF
OJ/OS
OJ/JS
OS/OJ
OS/SJ
Answers
The equivalent ratios to tan F = EL/ EF = OS/OJ
Similar triangles:Similar triangles are those with the same shape but different sizes. Similar triangles include all equilateral triangles and squares with any side length.
All related pairs of angles will be equal and corresponding sides of similar triangles will have the same ratio. The symbol '∼' is used to represent the similarity.
Given that
△FEL∼△JOS
That means △FEL and △JOS are similar triangles
As we know tan θ = Opposite side / Adjacent side
From the triangle △FEL,
=> tan F = EL/EF
By the given information,
The similar triangle's corresponding sides will have the same ratio
=> EL/ EF = OS/OJ
Therefore
The equivalent ratios to tan F = EL/ EF = OS/OJ
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3. there are two economy parking lots at the richmond international airport (ric). shuttle buses from these lots arrive at the ric terminal according to a poisson process with a mean of 10 buses per hour. (a) what is the probability that only one bus will arrive within a thirty-minute period?
Answers
The probability that only one bus will arrive within a thirty-minute period is 0.0337
We can model the arrival of shuttle buses as a Poisson process with a rate of λ= 10 buses per hour. Since we want to find the probability of only one bus arriving within a 30-minute period, we need to calculate the Poisson probability mass function for λ = 5 (since 30 minutes is half an hour):
P(X=k) = ( λ^k × e^- λ ) / k!
where X is the number of shuttle buses arriving within the 30-minute period
k is the number of buses, which in this case is 1.
Substituting the values, we get:
P(X = 1) = ( 5^1 × e^-5 ) / 1!
≈ 0.0337
Therefore, the probability is 0.0337
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Given: ab=ac, ad = ae, and dc = eb
prove: angle 1 is congruent to angle 2
Answers
To prove that angle 1 is congruent to angle 2, we need to show that they have equal measures.
From the given information:
ab = ac (1)
ad = ae (2)
dc = eb (3)
We will use these equalities to establish the congruence of angle 1 and angle 2.
First, consider triangle abc and triangle aed. By the side-angle-side (SAS) congruence criterion, if we can show that these triangles are congruent, we can conclude that angle 1 is congruent to angle 2.
Using (1) and (2), we have:
Side ab = side ac
Side ad = side ae
Additionally, from (3), we have:
Side dc = side eb
Therefore, we have established the three pairs of corresponding sides of triangle abc and triangle aed to be equal.
By the SAS congruence criterion, we can conclude that triangle abc is congruent to triangle aed.
Since corresponding angles of congruent triangles are congruent, angle 1 (angle bac) is congruent to angle 2 (angle dae).
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Quickly
Sam has a pool deck that is shaped like a triangle with a base of 15 feet and a height of 9 feet. He plans to build a 4:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work.
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work.
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work.
Answers
Part A:
The new deck will be a 4:5 scaled version of the original deck. This means that every dimension of the new deck will be 4/5 times the corresponding dimension of the original deck.
The original deck has a base of 15 feet and a height of 9 feet.
The new deck will have a base of (4/5) * 15 = 12 feet and a height of (4/5) * 9 = 7.2 feet.
Therefore, the dimensions of the new deck are 12 feet for the base and 7.2 feet for the height.
Part B:
To find the area of the original deck, we use the formula for the area of a triangle:
Area = (1/2) * base * height = (1/2) * 15 * 9 = 67.5 square feet.
To find the area of the new deck, we use the same formula with the new dimensions:
Area = (1/2) * 12 * 7.2 = 43.2 square feet.
Therefore, the area of the original deck is 67.5 square feet, and the area of the new deck is 43.2 square feet.
Part C:
The ratio of the areas is:
Area of new deck / Area of original deck = 43.2 / 67.5
Simplifying this fraction, we get:
Area of new deck / Area of original deck = 8 / 15
The scale factor is 4/5, which simplifies to 8/10 or 4/5.
Comparing the ratio of the areas to the scale factor, we see that:
Area ratio / Scale factor = (8/15) / (4/5) = (8/15) * (5/4) = 1
Therefore, the ratio of the areas is equal to the scale factor. This makes sense since the area of a triangle is proportional to the square of its dimensions. In this case, the scale factor is applied to both the base and the height, so the area ratio is equal to the scale factor squared, which is 16/25.
Answer:
Step-by-step explanation:
Part A: To find the dimensions of the new deck, we need to scale the base and height of the original deck by a factor of 4:5.
Scaling factor = 4/5
New base = 15 * (4/5) = 12 feet
New height = 9 * (4/5) = 7.2 feet
Therefore, the dimensions of the new deck are 12 feet for the base and 7.2 feet for the height.
Part B: The area of the original deck can be found by using the formula for the area of a triangle:
Area = (1/2) * base * height = (1/2) * 15 * 9 = 67.5 square feet.
The area of the new deck can also be found using the same formula:
Area = (1/2) * base * height = (1/2) * 12 * 7.2 = 43.2 square feet.
Part C: The ratio of the areas of the two decks can be found by dividing the area of the new deck by the area of the original deck:
Ratio of areas = (43.2 / 67.5) ≈ 0.64
The scale factor is 4:5 or 0.8.
Comparing the ratio of areas to the scale factor:
Ratio of areas / scale factor = (0.64 / 0.8) = 0.8
The ratio of the areas divided by the scale factor is equal to 0.8, which makes sense since the scale factor is the factor by which the dimensions were scaled up, and the ratio of areas tells us how much the area was scaled up.
is anyone able to solve this problem?
Answers
Answer:
Jar size: $12.49 for 62 oz ⇒ $0.20 for 1 oz
Step-by-step explanation:
Fun size: $2.88 for 10 oz ⇒ $0.288 for 1 oz
Party size: $8.98 for 38 oz ⇒ $0.24 for 1 oz
Jar size: $12.49 for 62 oz ⇒ $0.20 for 1 oz
Box size: $0.99 for 3 oz ⇒ $0.33 for 1 oz
I need help with the question ASAP
Answers
Answer:
3. d
4.b
5.a
6. is 15
Step-by-step explanation:
mn=5
no=5
op=10
pq=10
Please help!! If f (x) = e^x sin x, then f’ (x) =
Answers
Answer:
\( f'(x) = {e}^{x}( \sin x + \cos x ) \)
Step-by-step explanation:
\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)
Can someone please help me in this.
Answers
b)y=18
Hope this helps :)))
Consider the following primal problem:
Maximize
subject to:
z=7x
1
−5x
2
−2x
3
x
1
−x
2
+x
3
=10
2x
1
+x
2
+3x
3
≤16
3x
1
−x
2
−2x
3
≥−5
x
1
≥0,x
2
≤0,x
3
unrestricted in sign
Write down the dual problem of the above primal problem.
Answers
The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.
The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.
In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.
To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.
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the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52
Answers
Answer:
a) 81-6
b) 10.4
Step-by-step explanation:
a) assuming that the VAT is 20% of the 68 pounds,
you calculate 120% of 68 (convert percentage to decimal)
= 1,20 * 68 = 81.6 pounds
or
calculate 20% of 68 pounds and add the answer to 68 pounds:
(0.2 * 68) + 68 = 81.6 pounds
b) 20% of 52
first convert the percentage to decimals:
0.2 * 52 = 10.4 pounds
product of 2,4,6 please tell
Answers
Answer:
Product of 2,4,6 is 48❤️❤️❤️❤️
I hope its clear for you
HELP! offering 75 points
Answers
Answer: C
Step-by-step explanation:
hope this helped
Ntate runs 12 km in 3 hours. how many hours will it take him to run in 1 km
Answers
12 km / 3 hours = 4 km in 1 hour
1 hour / 4 km = 1/4 hour per km
Answer: 1/4 hour to run 1 km
Answer:
1/4 hours=0.25 hours
Step-by-step explanation:
Ntate runs 12 km in 3 hours.
Ntate runs 1 km in 3/12=1/4 hours.
you deposited 250 in a savings account and it grows by a factor of 1.5 every month
Plz plz plz I need this
Answers
Answer:
I would think 250 + 1.5t
Step-by-step explanation:
I hope this helps :)
Answer:
y=250×1.5x
Step-by-step explanation:
It depends on how many months
ex. after 6 months
y=2250
Determine if the 2 triangles are congruent.
A) AAS
B) Not enough information
C) SAS
D) HL
Answers
HELPP ASAP
Every day, the Shelby Pet Store uses 3/8 of a bag of dog food to feed the dogs. How many days will 1 1/2 bags of dog food last?
Answers
Answer: 4 days.
Step-by-step explanation: Each day, the dogs eat 3/8 of a bag of dog food. When you add 3/8 four times, you get 1.5, or 1 1/2 bags of dog food. Therefore, 1 1/2 bags of dog food will last 4 days.
Hope this helps! :)
whats file hosting//////////////////
Answers
Answer: A file hosting service, cloud storage service, online file storage provider, or cyberlocker is an internet hosting service specifically designed to host user files. It allows users to upload files that could be accessed over the internet after a user name and password or other authentication is provided.
Step-by-step explanation: there u go
If a function f(x) is defined as 5x2 − 3x + 3, what is the expression for lim(h -> 0) f(x +h)-f(x)/ h ?
Answers
Answer:800
Step-by-step explanation:
The correct expression is,
⇒ 10x - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable.
Given that;
The function is,
⇒ f (x) = 5x² - 3x + 3
Now, We can formulate;
⇒ f (x + h) - f (x) / h
⇒ 5 (x + h)² - 3 (x + h) + 3 ) - ( 5x² - 3x + 3) / h
⇒ 5x² + 5h² + 10xh - 3x - 3h + 3 - 5x² + 3x - 3 / h
⇒ 5h² + 10xh - 3h / h
⇒ 5h + 10x - 3
⇒ lim h → 0 (5h + 10x - 3)
⇒ 10x - 3
Thus, The correct expression is,
⇒ 10x - 3
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What letters intersect?
Answers
Answer:
s and t.
Step-by-step explanation:
3/5+(−1/4) DIVIDED BY 7/10
Answers
Answer:
0.5
Step-by-step explanation:
Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.
\(\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}\)
0.6 + -0.25 ÷ 0.7
Now we an solve.
0.60 - 0.25 = 0.35
0.35 ÷ 0.7 = 0.5
A triangular sail has sides of 12 ft, 28 ft, and 32 ft. If the longest side of a similar sail measures 28 ft, what is the measure of its shortest side
Answers
The measure of the shortest side of the larger sail is 12 ft
How to find the shortest side of triangular sail?We can use the property that similar triangles have corresponding sides in proportion to solve this problem.
Let the length of the shortest side of the larger sail be x.
Since the two sails are similar, we can set up the proportion:
12 : 28 : 32 = x : 28 : y
where y is the length of the remaining side of the larger sail.
We can then use cross-multiplication to solve for y:
12 * 28 = 28 * x
336 = 28x
x = 12
So the length of the shortest side of the larger sail is 12 feet.
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