For the dissociation of ionic compounds in water, the balanced chemical equations are as follows:
Lithium chloride:
LiCl (s) → Li+ (aq) + Cl- (aq)
Magnesium bromide:
MgBr2 (s) → Mg2+ (aq) + 2 Br- (aq)
Potassium sulphide:
K2S (s) → 2 K+ (aq) + S2- (aq)
Sodium nitride:
Na3N (s) → 3 Na+ (aq) + N3- (aq)
Calcium carbonate:
CaCO3 (s) → Ca2+ (aq) + CO3^2- (aq)
Iron (II) nitrate:
Fe(NO3)2 (s) → Fe2+ (aq) + 2 NO3- (aq)
Copper (II) phosphate:
Cu3(PO4)2 (s) → 3 Cu2+ (aq) + 2 PO4^3- (aq)
These equations represent the dissociation of the given ionic compounds when they come into contact with water. The "(s)" indicates a solid state, while "(aq)" represents an aqueous solution where the ions are separated and dispersed in water. The balanced equations ensure that the number and type of atoms on both sides of the equation are equal, satisfying the law of conservation of mass.
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970 grams decreased by 15.1 per min. How many grams are remaining after 14 minutes
Answer: 98.1
Step-by-step explanation:
Given: mass= 970 gm
Time = 14 min
rate of decay= 15.1% per minute.
Now, computing to get amount of element remaining after 14 minutes.
Formula; Element remaining=
Element remaining=
⇒ Element remaining=
⇒ Element remaining= ≅ 98.1 (nearest 10th of a gram)
∴ 98.1 element is still remaining after 14 minutes.
Answer:
98.1
Step-by-step explanation:
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Of the $175 that Sheila has, she gives $7 to charity. What percent does she give to charity?
Answer:
Your answer is 4%
Step-by-step explanation:
7÷175×100 = 4
The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next
Answer:
Step-by-step explanation:
b
Answer:
it's C bro i just took it
tossing a fair coin 20 times and counting the number of heads (x). what is the chance that the number of heads is 13 or more?
By using Binomial Distribution of probability, it is obtained that
Probability that the number of heads is 13 or more = \(137980(\frac{1}{2})^{20}\)
What is Binomial Distribution?
Binomial distribution is a discrete type probability distribution whose probability mass function is
P(X = k) = \({n \choose k} p^k(1 - p)^{n-k}\)
p is the probability of success.
Here Binomial distribution of probability is used
P(X \(\geq\) 13) = P(X = 13) + P(X = 14) + ........ + P(X = 20)
P(X = 13) = \({20 \choose 13} (\frac{1}{2})^{13}( 1 - \frac{1}{2}})^{20-13}\)
= \({20 \choose 13} (\frac{1}{2})^{13}( \frac{1}{2}})^{7}\)
=\({20 \choose1 3} (\frac{1}{2})^{20}\)
P(X = 14) = \({20 \choose14} (\frac{1}{2})^{20}\)
P(X = 20) = \({20 \choose20} (\frac{1}{2})^{20}\)
Total Probability = \(({20 \choose 13} + {20 \choose 14} + .... {20 \choose 20})(\frac{1}{2})^{20}\)
= (77520 + 38760 + 15504 + 4845 + 1140 + 190 + 20 + 1)\((\frac{1}{2})^{20}\)
= \(137980(\frac{1}{2})^{20}\)
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A cylinder has a diameter of 8 inches and a volume of 128 cubic inches.What is the height of the cylinder?
Find the median of data 1/3 3/2 1/6 1/4 2/3
Answer:
median= 1/3
Step-by-step explanation:
if a 10,000 kg ufo made of antimatter crashed with a 40,000 kg plane made of matter, calculate the energy of the resulting explosion.
To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).
In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.
To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.
Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.
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If I1 ⊇ I2 ⊇ .... In ⊇... is a nested sequence of intervals and if In = [an; bn], show that a1 ≤ a2 ≤ ....... ≤ an ≤ ........ and b1 ≤ b2 ≤..... bn ≤ ......
The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.
First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.
Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.
We can continue this process for all the intervals in the sequence, until we reach In. So we have:
a1 ≤ a2 ≤ ... ≤ an-1 ≤ an
and
b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn
This shows that the endpoints of the intervals are ordered in the same way.
Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:
Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:
1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.
Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .
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please answer this question fast
Answer:
348 of them are not postgraduates
Step-by-step explanation:
Answer:
348
Step-by-step explanation:
Out of 725 employees, 52% are postgraduates.
First find the percentage who are not postgraduates, or the "remaining."
100% - 52% = 48%
48% of 725 employees = how many employees?
48/100 × x/725
Cross multiply
48 × 725 = 100 × x
34800 = 100x
Divide both sides by 100
34800 ÷ 100 = 100x ÷ 100
348 = 1x
348 employees are not postgraduates
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
What’s the slope of (4,1) and (5,-3)
Answer:
-4
Step-by-step explanation:
como se escribe 81,3273 en decimal
0.02474793 espero que esto le ayude
if we assume that all possible poker hands (comprised of 5 cards from a standard 52 card deck) are equally likely, what is the probability of being dealt a flush? a poker hand is said to be a flush if all 5 cards are of the same suit. present your probability to three significant digits.
The probability of being dealt a flush is 0.038, or 3.8%.
This is calculated by taking the number of possible flushes (5,108), dividing it by the total number of possible poker hands (2,598,960), and then multiplying by 100 to get a percentage.
To calculate this, you first need to know how many possible flushes there are. There are 4 suits in a standard 52 card deck, so there are
4x4x4x4x4 = 1,024 possible flushes.
However, since a flush can consist of 5 cards of the same rank, you need to multiply this by the number of possible ranks, which is 13. This gives you 1,024 x 13 = 13,312 possible flushes.
Now, to calculate the probability, you need to divide the number of possible flushes by the total number of possible poker hands. Since there are 52 cards in the deck, and you have 5 cards in a poker hand, the total number of possible poker hands is:
52x51x50x49x48 / (5x4x3x2x1) = 2,598,960.
Therefore, the probability of being dealt a flush is 13,312 / 2,598,960 = 0.038, or 3.8%.
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kellen has just recieved her first credit card and decided to use it to go on a vacation trip. she is paying 4.9% APR interest on her credit card. She decided she can afford to pay $100 per month to pay off her debt. She paid a total of 5,877 dollars on her trip. Calculate how much interest she will pay in 6 months if she continues to pay $100 per month. Her billing cycle is 35 days. The finanace charge is 4.9%. Use 360 days
Kellen will pay approximately $11.07 in interest over 6 months if she continues to pay $100 per month.
To calculate the interest Kellen will pay in 6 months, we first need to calculate her monthly interest fee, that's 4.9% APR divided by using 12 months:
monthly interest fee = 4.9% / 12 = 0.4083%
We also want to calculate the full amount of time Kellen will take to pay off her debt, which is 6 months. we will then use this records to calculate the closing stability on her credit score card after 6 months of paying $100 in step with month:
overall payments = 6 x $100 = $600
remaining stability = $5,877 - $600 = $5,277
Next, we want to calculate the each day periodic charge, that's the monthly interest rate divided with the aid of the variety of days in a billing cycle (35 days):
daily periodic rate = 0.4083% / 35 = 0.0117%
Finally, we are able to use the method for finance charge to calculate the quantity of interest Kellen pays in 6 months:
Finance charge = closing balance x daily periodic rate x number of days in 6 months
Finance charge = $5,277 x 0.0117% x 180
Finance charge = $11.07
Therefore, Kellen will pay approximately $11.07 in interest over 6 months if she continues to pay $100 per month.
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Sarah was driving at 50 mph ( miles per hour) and went a distance of 100 miles. How long did it take Sarah to drive that distance?
Solve for time.
Time = distance / speed
Time = 100 miles / 50 miles per hour
Time = 2 hours
Answer:2 hours
Step-by-step explanation:
number 5 goes through the device and the result is 25 . what would a possible rule for machine B be ?
Answer: multiplied by 5 or squared
Step-by-step explanation:
If the number 5 goes in and 25 is the result, the rule could be multiplying by 5 or squaring the number that goes in (input).
5 x 5 = 25
5^2 = 25.
121. The equation y=e" - 2 is a particular solution to which of the following differential equations? A. y - y= -2 B. y - y = 2 C. y +y = -2 D. y + y = 2
The differential equation that has the particular solution y = e^-2 is the equation in option C y + y = -2.
Firstly, we need to understand what a differential equation is.
A differential equation is an equation that involves one or more derivatives of an unknown function, which is represented by a variable (often denoted as y).
The order of a differential equation is the highest order of derivative present in the equation.
Now, let's look at the given equation: y = e^-2.
To find out which differential equation this equation is a particular solution of, we need to take the derivative of y and then equate it to the derivative of the general solution of the differential equation.
This is because the general solution of a differential equation consists of a constant term that can be determined using a particular solution.
The derivative of y is given by: dy/dx = -2e^-2
Now, let's look at the options: A. y - y= -2
The general solution of this differential equation is y = Ce^x - 2. Taking the derivative of this equation gives dy/dx = Ce^x.
This is not equal to the derivative of y, which is -2e^-2. Therefore, option A is incorrect.B. y - y = 2
The general solution of this differential equation is y = Ce^x + 2.
Taking the derivative of this equation gives dy/dx = Ce^x. This is not equal to the derivative of y, which is -2e^-2. Therefore, option B is incorrect.C. y + y = -2
The general solution of this differential equation is y = Ce^(-x/2) + De^(-x/2).
Taking the derivative of this equation gives dy/dx = (-1/2)(Ce^(-x/2) + De^(-x/2)). This is equal to the derivative of y, which is -2e^-2.
Therefore, option C is correct.D. y + y = 2
The general solution of this differential equation is y = Ce^(x/2) + De^(x/2).
Taking the derivative of this equation gives dy/dx = (1/2)(Ce^(x/2) + De^(x/2)).
This is not equal to the derivative of y, which is -2e^-2. Therefore, option D is incorrect.
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HELP PLS Find an expression equivalent to 8x + 10y.
18xy
18(x + y)
2(4x + 5y)
2(4x + 10y)
Answer:
2(4x+5y)
Step-by-step explanation:
Use the distributive property
Answer:
\(2(4x + 5y)\)
Step-by-step explanation:
\(\sf 8x+10y\)
\(\sf Rewrite \: 10 \: as\:5\times \:2\)
\(\sf and, 8\: as\:4\times \:2\)
\(4\times \:2x+5\times \:2y\)
\(\sf Factor\: out\: 2:\)
\(\sf 2\left(4x+5y\right)\)
Functions f, g, and h are shown on the graph.
Which of these functions have a domain of all real numbers?
A. Functions f and g only
B.functions g and h only
C. Functions f only
D. Functions f, g, and h
Answer:
Option (D)
Step-by-step explanation:
Domain of a function is defined by the x-values (input values) of the graph.
Similarly, Range is defined by the set of y-values (output values) of the graph of the function.
From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
Therefore, all the function graphed have domain of all real numbers.
Option (D) will be the answer.
Answer:
:)
Step-by-step explanation:
en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?
Answer:
Spanish?
Step-by-step explanation:
I speak english
find the volume of the solid region r bounded by the surface f(x,y) = e^-x^2 and the planes y=0, y=x, and x=1.
The volume of the solid region R bounded by the surface f(x, y) = \(e^{(-x^2)\) and the planes y = 0, y = x, and x = 1 is 1 - 1/e.
What is volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
To find the volume of the solid region R bounded by the surface f(x, y) = \(e^{(-x^2)\) and the planes y = 0, y = x, and x = 1, we need to set up a triple integral.
First, let's find the limits of integration for each variable:
For x, it ranges from 0 to 1.
For y, it ranges from 0 to x.
For z, it ranges from 0 to f(x, y) = \(e^{(-x^2)\).
Now, the volume can be calculated as follows:
V = ∫∫∫R dV
= ∫[0 to 1] ∫[0 to x] ∫[0 to \(e^{(-x^2)\)] dz dy dx
Let's evaluate this triple integral step by step:
V = ∫[0 to 1] ∫[0 to x] \(e^{(-x^2)\) dz dy dx
Integrating with respect to z, the innermost integral, we get:
V = ∫[0 to 1] ∫[0 to x] z |[0 to \(e^{(-x^2)\)] dy dx
= ∫[0 to 1] ∫[0 to x] \(e^{(-x^2)\) - 0 dy dx
= ∫[0 to 1] \(e^{(-x^2)\) * (y)|[0 to x] dx
= ∫[0 to 1] \(e^{(-x^2)\) * (x - 0) dx
= ∫[0 to 1] x * \(e^{(-x^2)\) dx
Now, let's substitute u = \(-x^2\), du = -2x dx:
V = ∫[0 to 1] x * \(e^{(-x^2)\) dx
= -∫[0 to 1] \(e^u\) du
= -[\(e^u\)]|[0 to 1]
= -(\(e^{(-x^2)\))|[0 to 1]
= \(-(e^{(-1^2)\) - \(e^{(-0^2)})\)
= -(\(e^{(-1)\) - \(e^0\))
= -(1/e - 1)
= 1 - 1/e
Therefore, the volume of the solid region R bounded by the surface f(x, y) = \(e^{(-x^2)\) and the planes y = 0, y = x, and x = 1 is 1 - 1/e.
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Simpson office furniture pays Linda green a $2310 monthly salary plus a 8% commission on merchandise she sells each month. Assume Linda's sales were $64,500 for last month. calculate the following amounts: 1.amount of commission 2.gross pay
Answer:
0. Amount of commission = $5,160
,1. Linda's gross pay = $7,470
Explanation:
Part 1
Linda's sales for last month = $64,500
She is paid an 8% commission on merchandise she sells.
Therefore:
Amount of commission = 8% of $64,500
=8/100 x 64,500
=0.08 x 64,500
=$5,160
Part 2
Linda's Gross Pay = Monthly salary + Commision
=2,310 + 5,160
=$7,470
Linda's gross pay is $7,470
The Pet Kennel has 12 dogs and cats for the weekend. The number of dogs is three less than twice the number of cats. Write a system of equations to model this.
a. ofd+c=12 1d-3-20
b. fd+c=12 Le=2d-3
c. Sd+c=12 Id=2c-3
d. fd+c=12 12c=d-3
The system of equations to model the given scenario is:
The number of dogs and cats combined is 12: d + c = 12
The number of dogs is three less than twice the number of cats: d = 2c - 3
To model the given situation, we can establish a system of equations based on the provided information. Let's assign variables to represent the number of dogs and cats. Let d represent the number of dogs, and c represent the number of cats.
The first equation states that the number of dogs and cats combined is 12: d + c = 12. This equation ensures that the total count of animals in the pet kennel is 12.
The second equation represents the relationship between the number of dogs and cats. It states that the number of dogs is three less than twice the number of cats: d = 2c - 3. This equation accounts for the fact that the number of dogs is determined by twice the number of cats, with three fewer dogs.
By setting up this system of equations, we can solve for the values of d and c, representing the number of dogs and cats respectively, that satisfy both equations simultaneously. These equations provide a mathematical representation of the relationship between the number of dogs and cats in the pet kennel for the given scenario.
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f(x)=4x3-10
g(x)=3x-4/2
What is the value of g(f(2))?
Which equation would demonstrate the commutative property?
A. 14(3 + 4) = (14 • 3) + (14 • 4)
B. 37 • 26 = 26 • 37
C. 8 • 1 = 8
D. (8 • 1)• 7 = 8 • (1 • 7)
i will give brainiest
Answer:
b. 37 • 26 = 26 • 37
commutative property states that the change in the order of numbers in an addition or multiplication operation does not change the sum or the product.
Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answer:
Step-by-step explanation:
\(tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ\)
If total liabilities are 44,000 and owners equity is 33,000, the total assets must be?
The total assets must be 77000 if total liabilities are 44000 and owners equity is 33000.
According to the given question.
Total liabilities = 44,000
And, equity = 33,000
Since, from the accounting equation we know that
Total assets = Liability + Equity
Therefore, the total assets
= 44000 + 33000
= 77000
Hence, the total assets must be 77000 if total liabilities are 44000 and owners equity is 33000.
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a context level data flow diagram includes many detailed processes representing the computer programs within the system.true or false?
The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.
A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.
The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.
The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.
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- Drake and troy are building models. For every 10 pieces
Drake puts together, Troy puts together 6 pieces. If Troy
puts together 18 pieces, how many pieces does Drake
put together?
Answer:
30
Step-by-step explanation:
Looking at the question we will notice that every 6 that Troy puts together Drake makes 10 so its simple, Troy makes 18 so we divide that by 6 meaning we get 3. We then get 3 and multiply it by 10, Thus 30 shall be our answer.