9514 1404 393
Answer:
(a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons
(b) 1650-20m = 570+20m; m = 27 . . . minutes
Step-by-step explanation:
(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...
(20 gal/min)(5 min) = 100 gal
That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons
and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.
__
(b) The quantity in tower 1 is ...
t1 = 1650 -20m
and the quantity in tower 2 is ...
t2 = 570 +20m
These will be equal when ...
t1 = t2
1650 -20m = 570 +20m . . . . . equation for finding m
1080 = 40m . . . . . . . add 20m-570
27 = m . . . . . . . divide by 40
Is the triangle proof correct? Photo attacted
Answer:
is good
Step-by-step explanation:
Jose has n number of video games Sofia has thats 4 times the number them that jose has Write a an expression for how many video games they have together Help pls :>
The required expression 5n represents the number of video games they have together.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Jose has n number of video games. Sofia has four times as many as Jose.
So Sofia has 4n number of video games.
According to the given situation, the required solution would be as:
⇒ n + 4n
Apply the addition operation and we get
⇒ 5n
This expression represents the number of video games they have together.
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for incompressible flow in a horizontal pipe of constant diameter and without fittings or valves show that the pressure is a linear function of pipe length.
For incompressible flow in a horizontal pipe of constant diameter and without fittings or valves, the pressure is a linear function of pipe length.
Linear function:A linear function can be defined as a function that shows a constant rate of change between input values (x) and output values (y). When we plot the graph of a linear function, it shows a straight line. The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Pressure:Pressure is defined as the force exerted per unit area. Pressure is a scalar quantity. It can be measured in units such as pascals, bars, pounds per square inch, etc.
Now let's consider the given statement for incompressible flow in a horizontal pipe of constant diameter and without fittings or valves to prove that pressure is a linear function of pipe length.
In a horizontal pipe of constant diameter, the following assumptions are made:No valves and fittings are presentFluid is incompressibleFriction is negligibleThe fluid flow is steady-state and laminarAt two points P1 and P2 along the horizontal pipe, let us assume that the fluid pressure and velocity are P1, V1 and P2, V2, respectively.
The pressure drop between the two points is given byΔP = P1 - P2The flow rate of the fluid through the pipe is given by the equation,Q = (A1V1) = (A2V2)
where, A is the cross-sectional area of the pipe.
Substituting V1 = Q/A1 and V2 = Q/A2 in ΔP = P1 - P2, we getΔP = P1 - P2 = 32μQL / πd4,
where μ is the viscosity of the fluid, L is the length of the pipe, d is the diameter of the pipe.
The above equation is called the Hagen-Poiseuille equation. It shows that pressure drop (ΔP) is proportional to the length of the pipe (L) when the other parameters such as flow rate (Q), viscosity (μ), and diameter (d) of the pipe are constant.
Thus, it can be concluded that the pressure is a linear function of pipe length.
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Which of the following lines are shown in the drawing?
LI
GJ
CJ
BE
FA
WILL MARK BRAINLIEST
Answer:
FA Is the closest so thats your answer.
Step-by-step explanation:
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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Find the missing dimension of the triangle.
Area = 14 ft2
height= 6 ft
base=???
Answer:
b=4.67ft
Step-by-step explanation: The steps are in the picture below.
need help :)........
Solve for x.
5.3>x+25
x>4910
x<5710
x<4910
x>5710
Answer:
x= < 4 9/10
Step-by-step explanation:
I hope this helps
Have a great and blessed day
Answer:
K12 Answer
Step-by-step explanation:
What is the value of p in this proportion?
310p=4514
Enter your answer as a simplified fraction in the box.
Answer:
p = \(\frac{3}{32}\)
Step-by-step explanation:
\(\frac{\frac{3}{10} }{p}\) = \(\frac{\frac{4}{5} }{\frac{1}{4} }\) ( cross- multiply )
\(\frac{4}{5}\) p = \(\frac{3}{10}\) × \(\frac{1}{4}\) = \(\frac{3}{40}\)
Multiply both sides by \(\frac{5}{4}\) to clear the fraction on left side
p = \(\frac{5}{4}\) × \(\frac{3}{40}\) = \(\frac{1}{4}\) × \(\frac{3}{8}\) = \(\frac{3}{32}\)
8) The ball used in a soccer game may not weigh more than 16 ounces or less
than 14 ounces at the start of the match. After 1.5 ounces of air was added to a
ball, the ball was approved for use in a game. Write and solve a compound
inequality to show how much the ball might have weighed before the air was
added.
The compound inequality for the weight of the ball is represented as 14 > w< 16.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that the ball used in a soccer game may not weigh more than 16 ounces or less than 14 ounces at the start of the match. After 1.5 ounces of air was added to a ball, the ball was approved for use in a game.
The compound inequality will be written as,
14 > w< 16.
Here the weight of the ball varies between 14 ounces to 16 ounces means that the minimum weight should be 14 ounces and the maximum is 16 ounces.
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Clea eats ten Hershey kisses every 2 weeks, gives a Hershey bar to her sister every 3 weeks, and visit Hershey store every 6 weeks. If she does all three things this week, when will she do all three again?
Answer:
30
Step-by-step explanation:
We can find the lcm of 2 3 and 6, which is 30
30/2=15
30/3=10
30/6=5
so, it works!
50% OFF
original price!
Karen buys a water heater during the sale.
If Karen pays $350, what was the original price?
Answer: $
Answer:
$700
Step-by-step explanation:
i just multiplied 350 by 2, and got 700
Please help me i will give BRAINLIEST
help
Answer:
A) T and R
B) <SQR or <RQS
C) Q
Step-by-step explanation:
A) The sides of a angle are the end points which are T and R in this case.
B) Angle 2 has S and R and its end points. And the vertex which is Q is always in the middle, so the angle is <SQR and <RQS
In Triangle JKL, <J is congruent to <L
What is the measure of <L
Answer:
∠L = 33.9°Step-by-step explanation:
∠K = 180 - 67.8
= 112.2°
∠J = ∠L = 180 - 112.2
2
∠J = ∠L = 33.9°
Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d.
The probabilities for the hypergeometric distribution with the given parameters are:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:
P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)
where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)
Let's calculate the probabilities:
a. P(X = 1):
P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)
= (20 * 80) / 3921225
≈ 0.000407
b. P(X = 6):
P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)
= (38760 * 0) / 3921225
= 0
c. P(X = 4):
P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)
= (4845 * 80) / 3921225
≈ 0.098117
d. P(X = 0):
P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)
= (1 * 77) / 3921225
≈ 1.97e-05
Therefore:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
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The complete question is:
Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).
solve the simultanious equasion
8x+3y=45
2x+3y=27
pls pls pls help
Answer:
\(x=3,\:y=7\)
Step-by-step explanation:
\(\begin{bmatrix}8x+3y=45\\ 2x+3y=27\end{bmatrix}\)
\(\mathrm{Substitute\:}x=\frac{45-3y}{8}\)
\(\begin{bmatrix}2\cdot \frac{45-3y}{8}+3y=27\end{bmatrix}\)
\(\begin{bmatrix}\frac{45+9y}{4}=27\end{bmatrix}\)
\(y=7\)
\(\mathrm{For\:}x=\frac{45-3y}{8}\)
\(\mathrm{Substitute\:}y=7\)
\(x=\frac{45-3\cdot \:7}{8}\)
\(x=3\)
\(\mathrm{The\:solutions\:are}:\)
\(x=3,\:y=7\)
Write an equation in slope-intercept form of the line having the given slope and y -intercept.
m:-7/8,(0,-{5/6)
Answer:
y = - \(\frac{7}{8}\) x - \(\frac{5}{6}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - \(\frac{7}{8}\) and y- intercept c = - \(\frac{5}{6}\) , then
y = - \(\frac{7}{8}\) x - \(\frac{5}{6}\) ← equation of line
I WILL GIVE BRAINLIEST Suppose that is $1200 initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after six years, the amount of money in the account is $1431 . Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answer:
so we know that we're starting with $2500. We know it's compound a continuous interest, and they tell us that the interest rate is 6% and we want to find the amount of time it's going to take for it to basically double because it says 5000. So we divide both sides by five Excuse me by 2500 and we end up with E to the 0.6 T is equal to two. We can take the natural log of both sides mhm, and we can use a log of a powers at this point. Oh, 60 can come down in front with log of a power and lo and behold Oh, my goodness, Ellen up e is one. So all we need to do to solve is divide both sides by 0.6, and that will give us our time. We need to round that off to the nearest 10th of a year. So Ln of two divided by 20.6 11.6 11.55 But to the nearest Tampa would be 11.6 years. And we are done. Mm hmm.
Step-by-step explanation:
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answer:
The description of the set is \(A = \{s\in \mathbb{C}|\|s\| = 2\}\).
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
\(s = a+i\, b\), \(a,b \in \mathbb{R}\) (1)
Where \(i = \sqrt{-1}\).
In addition, the distance from the origin is defined by the following Pythagorean identity:
\(\|s\| = \sqrt{a^{2}+b^{2}}\) (2)
The following condition must be satisfied:
\(\|s\| = 2\)
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
\(A = \{s\in \mathbb{C}|\|s\| = 2\}\) (3)
The set of all complex numbers that are at a distance of 2 units from the origin is \(\{z\in \mathbb{C} :\text{ }|z|=2\}\)
A complex number, written in rectangular form is
\(z=a+ib\\a,b\in \mathbb{R}\)
The distance of a complex number from the origin (the modulus of the complex number, denoted by \(|z|\)) is given by the formula
\(|z|=\sqrt{a^2+b^2}\)
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
\(|z|=2\)
thus, the set we are looking for is
\(D=\{z\in \mathbb{C} :\text{ }|z|=2\}\)
where \(\mathbb{C}\) is the set of all complex numbers
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a family on a trip budgets $800 for sit-down restaurant meals and fast food. if the price of a fast food meal for the family is $20, how many such meals can the family buy if they do not eat at restaurants? group of answer choices 8 15 20 40 160
Answer:
If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.
Step-by-step explanation:
yw;)
Answer:
40
Step-by-step explanation:
No. Of Meal=Budget/price of Meal
=800/ 20
=40
Write 7x10x10x10x10 with an exponent
Answer: 7x10⁴
Step-by-step explanation:
Power is the result of multiplying numbers by itself. The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
What is power?Power is the result of multiplying a numbers to itself. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written in the form of an exponent as,
7 x 10 x 10 x 10 x 10
= 7 x 10⁴
Hence, The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
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(look at the images) can i get help on these?
Answer:
see explanation
Step-by-step explanation:
15
JK + KL = JL , substitute values
2x + 1 + 6x = 81, that is
8x + 1 = 81 ( subtract 1 from both sides )
8x = 80 ( divide both sides by 8 )
x = 10
Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21
KL = 6x = 6 × 10 = 60
--------------------------------------------------------------
16
JK + KL = JL , substitute values
2x + x + 2 = 5x - 10 , that is
3x + 2 = 5x - 10 ( subtract 3x from both sides )
2 = 2x - 10 ( add 10 to both sides )
12 = 2x ( divide both sides by 2 )
6 = x
Thus
JK = 2X = 2 × 6 = 12
KL = x + 2 = 6 + 2 = 8
JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20
------------------------------------------------------------
17
Calculate the distance d using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)
d = \(\sqrt{(1-7)^2+(-5-3)^2}\)
= \(\sqrt{(-6)^2+(-8)^2}\)
= \(\sqrt{36+64}\)
= \(\sqrt{100}\) = 10
estimate [infinity] (2n + 1)−9 n = 1 correct to five decimal places.
The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.
To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.
In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.
However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.
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A golf ball is hit from a sand trap 1.5
meters below ground level with an initial
velocity of 50 meters/sec. What was
the highest point of the ball?
Answer: 33.33... meters
Step-by-step explanation:
excel's binom.dist function can be used to compute . a. cumulative binomial probabilities b. binomial probabilities c. bin width for histograms d. binomial probabilities and cumulative binomial probabilities
Excel's binom.dist function can be used to compute both binomial probabilities and cumulative binomial probabilities
The Excel BINOM.DIST function returns the individual term binomial distribution probability. You can use BINOM.DIST to calculate probabilities that an event will occur a certain number of times in a given number of trials. BINOM.DIST returns probability as a decimal number between 0 and 1.
We use BINOM.DIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment.
For example, BINOM.DIST can calculate the probability that two of the next three babies born are male.
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describe and analyze a recursive algorithm that computes, given an integer n and an arbitrary system of k denominations hd1 = 1, . . . , dki, the minimum number of bills needed to make the amount n.
Recursive algorithm for minimum number of bills needed to make an amount, given n and k denominations:Calculate the minimum number of bills by considering each denomination and recursively reducing the remaining amount
How to compute the minimum number of bills needed?Here's a description and analysis of a recursive algorithm that computes the minimum number of bills needed to make an amount n using a system of k denominations:
Algorithm: MinimumBills(n, denominations)
If n is zero, return 0 (no bills needed).
If n is negative, return infinity (impossible to make the amount).
If n is a value that has already been computed and stored, return the stored value.
Set minBills to infinity.
For each denomination d in the k denominations:
a. If n is greater than or equal to d, recursively call MinimumBills(n - d, denominations) and store the result in numBills.
b. If numBills is less than minBills, update minBills to numBills.
Store minBills for the value of n.
Return minBills.
Analysis:
The recursive algorithm computes the minimum number of bills needed to make the amount n using the given denominations. The algorithm explores all possible combinations of denominations to find the optimal solution.
Time Complexity: The time complexity of the algorithm depends on the values of n and k denominations. Since the algorithm explores all possible combinations, the worst-case time complexity is exponential, \(O(k^n)\).
However, if the denominations are limited and n is relatively small, the algorithm can run in polynomial time.
Space Complexity: The space complexity of the algorithm is determined by the recursion depth, which is equal to n. Therefore, the space complexity is \(O(n).\)
Note: To optimize the algorithm and avoid redundant calculations, you can use memoization by storing the results for previously computed values of n in a lookup table. This can significantly reduce the number of recursive calls and improve the overall performance.
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What is the importance and advantage of using graph representation when organizing your data?
The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.
An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.
The following are the three advantages of graphs:
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The surface area of this cone is 734.76 square meters. What is the slant height of this cone?
Use a 3.14 and round your answer to the nearest hundredth.
Answer:
l= 234/r
Step-by-step explanation:
Given data
Surface area of cone=734.76 square meters.
The formula for the lateral surface area is
S.A=πrl
substitute the surface area
734.76 = 3.14*r*l
734.76/3.14=rl
234=rl
l= 234/r
Hence, with a value for r, the expression for the slant height l is given as
l= 234/r
How many terms are in the expression 36x^3+27x^2-18x-9
Answer:
Four (4) terms.
Step-by-step explanation:
36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)
The gives four terms.
What is the sale price of a plastic watch originally priced at $4.80 if the sale is 50%
Answer:
$2.40
Step-by-step explanation:
There is a 50% discount, so you do 50% of 4.80 which is 2.40
Then subtract 2.40 from 4.80
and you get 2.40
\(.50*4.80=2.40\)
\(4.80-2.40=2.40\)
I hope that wasn't confusing.
Hope this helps! (✿◠‿◠)
The required price of a plastic watch in the sale is $2.40.
Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
= 4.80 * 50 / 100
= 4.80 * 1/2
= $ 2.40
Thus, the required price of a plastic watch in the sale is $2.40.
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