a tank contains 2840 l of pure water. solution that contains 0.01 kg of sugar per liter enters the tank at the rate 4 l/min, and is thoroughly mixed into it. the new solution drains out of the tank at the same rate. (a) how much sugar is in the tank at the begining? y(0)
By using differential equations' concept, we get that there is no sugar in the beginning.
What is a differential equation?A differential equation is an equation that connects the derivatives of one or more unknown functions.
Given:
Pure water = 2840 litres
sugar = 0.01kg per liter
Rate of sugar entering the tank = 4liter/min
New solution drains out at the rate = 4 litre/min
To find: sugar in the beginning.
Finding:
(a) In the beginning, the tank contains only pure water and no solution of water with sugar.
Hence, the sugar is null for t = 0.
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PLEASE HELP I'LL GIVE BRAINLIEST
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer: the first table with all 2s as its y values
Step-by-step explanation: the first table shows that no matter what the x value is, the graph is staying still at y=2. Its rise/run is 0 since it is not rising at all.
Answer:
The first column of the first chart due to the repetition of the numbers! hope this helps!
If wood flooring costs 39.97 per square yard, how much will it cost to cover a room 15 feet by 25 feet?
Answer:
$14988.75
Step-by-step explanation:
15 x 25 = 375
375 x $39.97 = $14988.75
Answer:
$14988.75
Step-by-step explanation:
25x15 = 375
375 x 39.97 = $14988.75
Parsons Bank offers two checking-account plans. The No Frills plan charges
25 cents per check whereas the Simple Checking plan costs $
5 per month plus
5 cents per check. For what number of checks per month will the Simple Checking plan cost less?
If the number of checks are greater than 25, the Simple Checking plan cost less.
We have two checking account plans at Parson's bank.
We have to determine for what number of checks per month will the Simple Checking plan cost less.
What is an Inequality in Mathematics ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let for x number of checks per month the simple checking plan cost less.
For No frills plan -
Charge per check - $0.25
Therefore, for x checks, it will cost - $0.25x
For Simple Checking plan -
Fixed monthly charges - $5
Charges per check - $0.50
Therefore - for x checks - $5 + $0.50x
Now - for Simple Checking plan to cost less than No frills plan -
5 + 0.05x < 0.25x
5 < 0.25x - 0.05x
5 < 0.2x
x > 25
Hence, if the number of checks are greater than 25, the Simple Checking plan cost less.
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 42 N acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 2 m/s^2, what is the force?
The force on the object will be 12 N.
We have a moving object.
We have to determine the force on object when the acceleration of the object becomes 2 m/s².
What is the need of Force in real Life? How is it calculated ?Force is necessary to bring around a change in the state of the body. Either from rest to motion or motion to rest. It can be calculated using the formula-
Force (F) = mass (m) x acceleration (a)
According to the question -
When a force of 42 N acts on the object, then using the formula of force -
F = m x a
42 = m x 7
m(Object) = 6 Kg
When the acceleration of the object becomes 2 m/s², then -
F = m(object) x a
F = 6 x 2 = 12 N
Hence, the force on the object will be 12 N.
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quadrilateral \(abcd\) has vertices \(a(1,0)\), \(b(5,0)\), \(c(7,2)\), and \(d(3,2)\). use slope to prove that \(abcd\) is a parallelogram. show all of your work.
Since, the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.
According to the given question.
We have the vertices of a quadrilateral abcd such that a(1, 0), b(5, 0), c(7, 2) and d(3, 2).
As we know that, a parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length.
Since, we have to prove that the given quadrilateral is a parallelogram by using slope. From the definition of the parallelogram we can say that, the opposite sides of the parallelogram are parallel to each other.
Now,
slope of side ab = 0-0/(5 -1) = 0
slope of side dc = 2 -2/(3-7) = 0
slope of the side ad = 2 -0/(3 -1) = 1
slope of the side bc = 2 -0/(7 -5) = 1
Here, the slopes of the opposite sides ab and dc, and ad and bc are equals and we know that when the slope of two line are equals then the lines are parallel to each other.
Therefore, the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.
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what is simple intrest
Simple Interest can be defined as a method of calculating interest for a some principal amount over a period of time.
When we borrow money or take a loan , and when we pay back the loan some money is charged based in the amount borrowed and time period the loan is taken ,
that money charged is called as Simple Interest .
Simple Interest can be calculated using the formula
SI=(PxRxT)/100
where, P=principal , R=rate of interest , t=time taken
The main difference between the Simple Interest and Compound Interest is the in Simple interest the principal is fixed whereas in Compound Interest the principal keeps on varying with time .
For Example : John borrowed $200 from Smith at 10% rate of interest for 5 years .
So the Simple Interest that John has to pay Smith will be
SI=(PxRxT)/100
SI=(200x10x5)/100
SI=10000/100
SI=$100
So apart from principal amount $200 John has to pay extra $100 as interest , Total John will be paying $300 to smith in return.
Therefore , Simple Interest is defined .
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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of
x
x that support your conclusion.
−5x=35
what is the equation?
The company you work for requires you to use your own car while traveling to work. They will pay you $25 a day plus an additional $0.35 per mile. Let the distance driven be x miles and let the total cost for using your car for one day be y dollars. Which of the equations below represents how much your company would need to pay you for driving your own car?
A. y=0.35x+25
B. y=35x+25
C. y=25x+0.35
D. y=25x+35
E. y=25x+0.35x
What is the square root of 23 to the nearest integer?
Answer:
5
Step-by-step explanation:
If you put this in a calculator it comes back with 4.79583... decimals forever. Rounding to the nearest integer gives 5.
Answer:
5
Step-by-step explanation:
√23 : 4.795831523 whose nearest integer is 5 .
Hence, the nearest number is 5.
The use of electricity in the US in 1902 was 6. 03 x 10^9 kilowatt-hours.
The use of electricity in the US in 1950 was 4. 3 x 10^11 kilowatt-hours.
What was the total kilowatt-hours of electricity used during these two years?
O a
Ob
Oc
Od
(6. 03 x 10^9) + (4. 3 x 10^11)= 10. 33 x 10^20 = 1. 033 x 10^19
(6. 03 x 10^9)+(4. 3 x 10^11) = (0. 0603 x 10^11) + (4. 3 x 10^11)=4. 3603 x 10^11
(6. 03 x 10^9) x (4. 3 x 10^11) = 25. 929 x 10^20= 2. 6 x 10^19
(6. 03 x 10^9) x (4. 3 x 10^11) = 25. 929 x 10^2=2. 6 x 10^1
The total kilowatt-hours of electricity used during these two years is (6.03 x 10^9)+(4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 using arithmetic operations.
What is addition and multiplication?Addition is the sum of two or more numbers or values to get a new number. The addition symbol is the plus sign (+).
Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.
Given that the use of electricity in the US in 1902 was 6. 03 x 10^9 kilowatt-hours and in 1950, it was 4. 3 x 10^11 kilowatt-hours.
To find the total kilowatt-hours of electricity used during these two years, we must add the kilowatt-hours of electricity used in 1902 and 1950.
6. 03 x 10^9 kilowatt-hours can also be written as 0.0603 x 10^11 kilowatt-hours.
This implies, (6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11)
= (0.0603+4)10^11
= 4.3603 x 10^11 kilowatt-hours
Therefore, the total kilowatt-hours of electricity used during these two years is 4.3603 x 10^11.
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i really need help with this someone pls help
Answer: D=(8,10) Y=(-2,6) N=(2,-6) U=(-8,-5) G=(8,-11) O=(4,-5)
Step-by-step explanation:
On the coordinate plane, left or down means decreasing in value and right or up means increasing in value.
if you take a point and it's at (1,2) and translate it 3 to the left and 4 upwards, your new point would be (-2,6). This is because you subtracted(cause you were going left) 3 from 1 (cause it's your x value), and added(cause you were going up) 4 to 2 (cause it's your y value.)
(-2,-13), (-8,0)
A) 6/13
B) 13/6
C) -6/13
D) -13/6
Answer:
D
Step-by-step explanation:
It looks line you are asking for the slope. The slope is the change in y over the change in x
Ordered pairs are writing in the from (x,y) The first number is the x value and the second number is the y value.
[tex]\frac{0 - (-13)}{-8 - (-2)}[/tex] I am subtracting the y's on the top and the x's on the bottom.
[tex]\frac{0 + 13}{-8 + 2}[/tex] Subtracting a negative is the same as adding a positive.
[tex]\frac{13}{-6}[/tex] The fraction is negative, so the negative sign can go on the top or the bottom.
4 1/7 times - 2 1/8 what is the answer
Answer: -8 45/56
Step-by-step explanation:
given the equation of :y-5=25/2=25/2(x+4) what is the slope of any line parallel? M= blank
The slope of the any line parallel to the line y-5 = 25/2(x+4) is equal and its value is 25 /2 .
The graph of the equation y =mx + c could be a line with m as slope, and c because the y-intercept.This type of the equation is termed the slope-intercept form, and therefore the values of m and c area unit real numbers.We have given equation y-5 = 25/2(x+4) .
On simplifying , we get
y - 5 = 25 x/2 +50
y = 25 x /2 +55
On comparing the above equation with slope intercept form y = mx + b ,
we get m = 25 / 2
All the lines which are parallel to any other line have equal slope.
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Evaluate 4+2(x+6)^2 for x=-3
= (-54)
Step-by-step explanation:
ATQ
4+2(x+6)^2
6(x^2+12x+216)=0 [ {a+b}^2 = a^2+2ab+b^2 ]
6x^2 +72x+216=0
Put the value of x=(-3)
So ,
6x^2 +72x+36=0
6(-3)^2+72(-3)+216=0
6×(-9)+72×(-3)+216=0
(-54)+(-216)+216=0
= -54
Hence, the solution is -54 at x=(-3).
Thank You
Write the equation of a square root function that has been
shifted up 3 units and right 1 unit and contains the point
(5,7).
The equation of the square root function is g(x) = √(x - 1) + 3
How to determine the equation of the square root function?A square root function is represented as
f(x) = √x
The transformation rule is given as
Shifted up 3 units and right 1 unit
This can be represented as
(x - 1, y + 3)
So, we have
g(x) = f(x - 1) + 3
This gives
g(x) = √(x - 1) + 3
From the question, we have
It contains the point (5,7).
This means that
g(5) = 7
So, we have
g(5) = √(5 - 1) + 3
Evaluate
g(5) = 7
Hence, the equation of the square root function is g(x) = √(x - 1) + 3
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There 14,260 people in attendance at a major league baseball game, which is 87% of the total capacity (total seats at the stadium). What is the total number of seats at the stadium?
25 points plus brainliest
Answer:
hi awaz are u in india server ?
Ali and habib play a computer game to score points ali scores 43,901 points habib scores 5,089 points the winner is the first player to get 40,000 points more than the other player a. estimate the difference between their scores b.is the estimate enough to find the winner
Based on the points obtained from Ali and Habib in the game we can say that:
a. The difference between their scores is: 38.812
b. The estimate is not enough to find the winner
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Ali's points = 43,901Habib's points = 5,089Difference between their scores =?To calculate the difference between their scores we must perform the following subtraction:
Difference between their scores = Al's points - Habib's points
Difference between their scores = 43.901 - 5.089
Difference between their scores =38.812
Due to the difference between their scores is less than 40,000 points, it is not yet possible to define a winner.
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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he temperature t, in degrees f, of a cold yam placed in a hot oven is given by , where t is the time in minutes since the yam was put in the oven.
a) Positive b) Degree per minute c) Interpretation of f'(20)=2
So as we have we are given in the question: T = f(t)
where T is the temperature in degrees Fahrenheit of a cold yam placed in a hot oven and t is the time in minutes since the yam was put in the oven .f'(t) will represent the rate of change in temperature.
f'(t) will represent the change in temperature of yam when 1 minute has passed since it was kept in oven.
Since the temperature will always increase in oven, f'(t) will have a positive sign. units of f'(20)Since, f'(t) represent the rate of change in temperature. the unit will be degrees Fahrenheit per minute .f'(20)=2f'(20) will tell the change in temperature when 20 minutes have passed after the yam has been kept in oven .Thus, the given statement means that 20 minutes after the yam was kept for in the oven, the temperature of yam was increasing by 2 degree Fahrenheit per minute.
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Hey can u pls answer my Chemistry questions asap
CHECK MY QUESTIONS I POSTED
Answer:
it is which of the following is a reactant
Step-by-step explanation:
convert 3.7, which is drawn from a population with a mean of 2.8 and a standard deviation of 1.3, to a standard normal variable.
The standard normal variable for 3.7 is 0.67.
we are advised that the quantity is to be converted to a widespread everyday variable.The range (x) is 3.7.A facts set's suggest (average) is calculated by way of summing all the numbers in the set and then dividing through the range of values inside the set.imply (µ) is two.8.The rectangular root of the variance of a random variable, sample, statistical populace, data series, or possibility distribution is its general deviationthe usual deviation (σ) is 1.three.A typically disbursed random variable with a median (µ) of zero and a widespread deviation (σ) of 1 is referred to as a trendy ordinary random variable. The letter Z will continually be used to symbolize it.permit the usual regular variable be "z".z = (x-µ)/σz = (3.7-2.8)/1.3x = 0.9/1.3x = 0.69To learn more about standard normal variable, visit :
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f(x) = 4/5x - 2
Find f(3)
Answer:
[tex]f(3) = \frac{2}{5} [/tex]
Step-by-step explanation:
f(x) = 4/5x - 2
f(3)=4/5(3)−2
f(3)=4/5(3)−2
f(3)=12/5+−2
f(3)=(12/5+−2)(Combine Like Terms)
f(3)=2/5
Write an equation of the line that is parallel to y = 16 and passes through point (-7, 43).
The required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
First, we have to determine the slope of the line y = 16 by placing it into a slope-intercept form:
y = 16
Therefore, the slope of the line is m = 0
Since the required line passes through the point at (-7, 43).
Let the line (y - y₁) = m(x -x₁ )
Here x₁ = -7, y₁ = 43
Substitute the values in the equation,
So, y - (43) = 0(x-(-7))
⇒ y - 43 = 0
⇒ y = 43
Hence, the required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).
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12x square+22xy-8y square
Answer:
2(6x²+11xy−4y²)
Step-by-step explanation:
Factor 12x²+22xy−8y²
12x+22xy−8y²
=2(6x²+11xy−4y²)
can someone help pls
1/4 (x - 8) = 7
Answer: x = 36
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 36
Step-by-step explanation:
1/4 (x-8) =7
times both sides by 4
x-8=28
add 8 to both sides
x=36
1530 divided by 30? I will give you a Brainliest!
51
1530÷30=51
30x51=1530
1.which expression is equivalent to x² 10x 24?(x 1)(x 24)(x 4)(x 6)(x 2)(x 12)(x 3)(x 8)
x2 − 10x − 24 x 2 - 10 x - 24 this expression is equivalent to x² 10x 24 (x 1)(x 24) (x 4)(x 6)(x 2)(x 12)(x 3)(x 8).
What are algebraic expressions?A logarithmic articulation is a numerical expression that incorporates factors, constants, coefficients, and mathematical tasks. To increase two logarithmic articulations, we duplicate each term of the main articulation with each term of the subsequent articulation and join every one of the items. In a mathematical articulation, a term might comprise of a steady, one variable, a result of at least two factors, a result of both the variable and consistent part. Moreover, the mathematical terms can be both positive and negative. There are significantly three sorts of mathematical articulations.
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