The charge on the capacitor at time t is given by Q(t) = 6C - 6C * e^(-t/2)---- Eqn. (1) and the current at time t is given by I(t) = 3A * e^(-t/2) --- Eqn. (2).
How to determine the charge on the capacitorR(dQ/dt) + (1/C)Q = E(t)
The general solution of the above equation (when E(t) is a constant E) is:
Q(t) = CE + (Q(0) - CE)e^(-t/RC)
Plugging in the given values:
Q(t) = 0.1F * 60V + (0C - 0.1F * 60V)e^(-t/(20Ω * 0.1F))
Simplify this to get:
Q(t) = 6C - 6C * e^(-t/2) Eqn. (1)
The current is the derivative of the charge with respect to time:
I(t) = dQ(t)/dt = d/dt [6C - 6C * e^(-t/2)]
Taking the derivative and simplifying gives:
I(t) = 3A * e^(-t/2) Eqn. (2)
So the charge on the capacitor at time t is given by Eqn. (1) and the current at time t is given by Eqn. (2).
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What is the measure of ∠DBE?
Answer:
63 degree
Step-by-step explanation:
On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?
Answer:
40%Step-by-step explanation:
Initial number of hours = 5Increased number of hours = 7Change:
7 - 5 = 2Percent change:
2/5*100% = 40%please answer this question if you are correct i will mark brainliest
Step-by-step explanation:
Since there are 4 people who answered that they had 0 number of scarves we put 4 0's in a set of numbers. Then we see that there are 2 people who have 1 scarf. so there are 2 1's and we keep on going down the line.
{0,0,0,0,1,1,2,3,3,4,5,5} there are 12 numbers here
so we add up all of them
1+1+2+3+3+4+5+5=24
then divide that number by 12 because that's how many numbers there are
24/12=2
The mean of the numbers is 2
Hope that helps :)
SQL A. Is portable among different implementations B. Is object oriented C. Is better than NoSQL D. Is based on relational algebra
SQL (Structured Query Language) is a widely used language for managing relational databases. It is portable among different implementations and based on relational algebra.
SQL is a language designed for managing and manipulating structured data in relational databases. It provides a standardized way to interact with databases and perform various operations such as querying, inserting, updating, and deleting data. One of the advantages of SQL is its portability, meaning that SQL code can be written to work with different database management systems (DBMS) as long as they support the SQL standard. This portability allows for easy migration of databases between different systems.
SQL is based on relational algebra, which is a mathematical framework for working with relational databases. It defines operations and rules for manipulating relations (tables) and performing relational queries. The foundations of SQL are rooted in the principles of relational algebra, providing a solid basis for database management.
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0.8x + ⅕ = 6/10x - 6 - 4
i need to figure out the variable
Answer:
x = -51
Step-by-step explanation:
Do I need to explain oorrrrrrrrr.....
let {bn} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ bn^n cos nπ / n n=1
a. absololutely convergent
b. conditionally convergent
c. divergent
The given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.
To determine the convergence of the series, we need to examine the behavior of the terms and apply the convergence tests. Given that {bₙ} is a sequence of positive numbers that converges to 1/2, we can conclude that bnₙⁿ approaches 1/2 as n approaches infinity.
Considering the term (bnₙⁿ cos nπ)/n, we have the alternating factor cos nπ which oscillates between -1 and 1 as n varies. The absolute values of the terms bnₙⁿ/n decrease monotonically to zero.
By the Alternating Series Test, if a series has alternating signs and the absolute values of its terms decrease monotonically to zero, then the series is conditionally convergent. Therefore, the given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.
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Complete question - Let {bₙ} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.
[n =1 to infinity]Σ (bnₙⁿ cos nπ)/n =1
a. absolutely convergent
b. conditionally convergent
c. divergent
(Beautiful Mind) There is an interesting scene in A Beautiful Mind in which John Nash's character discovers his equilibrium concept. The setup is that there are four men and five women at a bar, and each man must simultaneously walk over to a woman. One of the women, who is blonde, is considered to be more desirable than the other four, who are all brunettes. Although the men all prefer the blonde to the brunettes, if they all go for the blonde they will "block each other" (according to the logic of the movie) and end up unsuccessful; moreover, after going for the blonde, they cannot then go to a brunette because the brunette would be offended at being someone's second choice and would turn down the man. Nash's character then realizes that what ought to happen is for each of the four men to choose a brunette. Let's try to put this situation in a game theoretic model by using a to denote the payoff a man would receive if another man goes for the same woman he does (here there are assumptions that it is possible to "block each other" on brunettes and that being "blocked" on a brunette gives the same payoff as being "blocked" on a blonde, although this is not important for the problem). We'll use b to refer to a man's payoff if he is the only man to go for a woman and that woman is a brunette. We'll use c to refer to a man's payoff if he is the only man to go for a woman and that woman is blonde. The natural restrictions on payoffs are a < b < c. Is there a pure strategy Nash equilibrium where each man ends up with a brunette? What are the pure strategy Nash equilbria? How do these answers change if the blonde turns down everyone (meaning that the payoff to going to the blonde is a, regardless of how many men choose her)? [Hint: classify situations based on how many men go to the blond woman.]
In the absence of the blonde turning down everyone, the pure strategy Nash equilibrium is for all men to choose brunettes. If the blonde turns down everyone, the pure strategy Nash equilibrium remains the same: all men choosing brunettes.
How to explain the Nash equillbriumIn this case, all four men choose brunettes. Since no man is going for the blonde, their payoff is b if they are the only man going for a brunette. This scenario is a pure strategy Nash equilibrium because no man has an incentive to deviate.
If one man goes for the blonde, his payoff is c. The other three men choose brunettes, resulting in a payoff of b. This situation is not a Nash equilibrium because the man going for the blonde has an incentive to deviate and choose a brunette instead, increasing his payoff to b.
Since the payoffs are the same for any number of men going for the blonde, the pure strategy Nash equilibrium is for all men to choose brunettes. Each man's payoff will be b, regardless of whether they choose the blonde or a brunette.
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Find the slope will give brainliest if it is correct.
Answer:
I cannot see pictures, so I will explain how to find slope, so you can do it on your own.
Step-by-step explanation:
Find 2 coordinates on the line.
Ex: (2,3) and (4,6)
Subtract the y-coords and x-coords from each other and divide.
6-3 = 3
4-2 = 2
3/2
So the example slope is 3/2.
The 3 represents the rise, and 2 represents the run.
---
hope it helps
If f(x) is irreducible over R. then f(x²) is irreducible over R. True / False
The statement "If f(x) is irreducible over R, then f(x²) is irreducible over R" is false. The irreducibility of f(x) does not guarantee the irreducibility of f(x²) over R.
Does the irreducibility of f(x) over R imply the irreducibility of f(x²) over R? True / FalseThe statement "If f(x) is irreducible over R, then f(x²) is irreducible over R" is actually false. In other words, just because a polynomial, f(x), is irreducible over the real numbers (R), it does not necessarily mean that its square, f(x²), will also be irreducible over R.
To understand why, let's first clarify the concept of irreducibility.
A polynomial is considered irreducible if it cannot be factored into a product of two or more non-constant polynomials with coefficients in the same field. In this case, we are considering the field of real numbers (R).
Now, when we square a polynomial, such as f(x)² or f(x²), it can lead to changes in its factorization.
The squared polynomial may introduce new factors or change the multiplicity of existing factors.
This means that the irreducibility of the original polynomial, f(x), does not necessarily carry over to the squared polynomial, f(x²).
To illustrate this, let's consider an example. Suppose we have a polynomial f(x) = x² + 1, which is irreducible over R. If we square this polynomial, we get f(x²) = (x² + 1)² = x⁴ + 2x² + 1.
The squared polynomial, in this case, is no longer irreducible over R because it can be factored as (x² + 1)(x² + 1).
This example shows that the irreducibility of f(x) does not imply the irreducibility of f(x²). It's important to carefully analyze the specific factors and properties of each polynomial to determine its irreducibility.
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Oscar is drving 85 miles per hour. At this rate, how many miles will he drive in 2 1/2 hours?
Answer:
212.5 miles
Step-by-step explanation:
A car travels 250 miles to Myrtle Beach; the faster it goes, the less time the trip takes.
Answer:
Well, ermm duh
Step-by-step explanation:
The faster you go, the less time it will take
William is building a planetary path for people to walk through the planetary path will have a model of the sun and model of the planet William uses two different scales He uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet William makes a model of planet Venus the model has a diameter of 12.1 work out the real diameter of venus
Answer:
The actual diameter of Venus is 12,100 kilometers.
Step-by-step explanation:
Since William is building a planetary path for people to walk through, and the planetary path will have a model of the sun and model of the planet, and William uses two different scales, he uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet, if William makes a model of planet Venus and the model has a diameter of 12.1, to work out the real diameter of Venus the following calculation must be performed:
1 cm = 1000 km
12.1 cm = X km
1 = 1000
12.1 = X
12.1 x 1000/1 = X
12,100 = X
Thus, the actual diameter of Venus is 12,100 kilometers.
100% of x is 50. *reamber is means divide*
Answer:
100% of 50 is 50
x = 50
Step-by-step explanation:
Answer:
x = 50
Remember that 100% of anything is the number itself.
What is the value of -5^6?
Answer:
-15625
Step-by-step explanation:
Hope this helps!
Answer:
-15,625
Step-by-step explanation:
-5^6 = -(5^6) = -(5 * 5 * 5 * 5 * 5 * 5) = -15,625
3x+5⁰ 2x-25⁰ supplementary angles
Answer:
x=40, ∠ACB=125, ∠ACD= 55
Step-by-step explanation:
In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.
With this information, we can conclude 3x+5+2x-25=180.
To solve this equation for x,
1. Combine like terms
5x-20=180
2. Add 20 to both sides
5x=200
3. Divide both sides by 5.
x=40
Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.
1. ∠ACB: 3(40)+5
120+5
∠ACB = 125
2. ∠ACD: 2(40)-25
80-25
∠ACD = 55
Answer:x=40
Step-by-step explanation:
5x-20=180
5x=200
X=40
Help will brainlist 30 points!!!
Answer:
I believe it would be 5.
Step-by-step explanation:
I'm not completely sure, but this seems quite easy, so I hope I'm right :D
There are 6 different numbers on the number cube so x = 6
The 1/x means you have a 1 in x ( total choices) of getting a certain number.
The total choices would be the total numbers in the cube which is 6.
The answer is 6
Write an equation that shows the relationship 64% of y is 40.
PLEASE HELP
Answer:
[tex]0.64*y = 40[/tex]
Step-by-step explanation:
Answer:
64/100=40/y
Step-by-step explanation:
We use the simple equation of finding percentages, which would be the percentage (64) over 100 percent, as this is our total. If 64 percent of y equals 40, then the equation is 64/100=40/y. To solve for y, multiply 100 x 40= 4000, then divide by 64 to get the answer. Y=62.5
Experimental Probability is ___________ .
a . our prediction
b. data from our experiment
Answer:
b
Step-by-step explanation:
data from our experiment.....
what is the the mode of April's temperatures?
A
B
C
D
Answer:
B: no mode
Explanation:
A mode is a number that occurs often in a set of data. Since all of April's temperatures are different, there is no mode.
Answer:
b because mode is the how many times a number pop up it has to be the same
Step-by-step explanation:
Can someone plz explain how to do this
Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
I WILL GIVE BRAINLIEST!!!
consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50
end behavior
Answer:
Step-by-step explanation:
ps. you can use m a t h w a y and check
it's spaced out cuz it doesn't let me write it well
solve eqn by factorisation method
2x squre-50x=0
Answer:
0 or 25
Step-by-step explanation:
To solve for x
we first factor
2x^2-50x=0
2x(x-25)=0
To make this equation 0 x has to be 0 or 25
hey guys i rlly need help i don't understand rational numbers
Answer:
if its not a fraction or a number that can be written as a fraction, its an irrational
I do a two-way between-subjects ANOVA and find that my interaction F-test is significant. What do I do next?
If one of the effects is substantial, it should be included in the analysis as a control variable.
If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.
If you conduct a two-way between-subjects ANOVA and discover that the interaction F-test is important, the next thing to do is to interpret the results.
You may be interested in estimating the main effects of each variable and the interaction effect.
In a two-way ANOVA, a statistical method is employed to identify the interactions between two variables.
ANOVA stands for analysis of variance.
It is a statistical method used to compare two or more populations by analyzing the variance between them.
F-test is a statistical method used to compare two variances or to test hypotheses about whether two population variances are equal.
It can be used to compare more than two variances in ANOVA.
When the interaction effect in a two-way between-subjects ANOVA is important, the interpretation of the main effects of each variable and the interaction effect must be done.
If one of the effects is substantial, it should be included in the analysis as a control variable.
If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.
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pls pls help. i am begging u ill give brainliest
Answer:
4/18
Step-by-step explanation:
i really need help. I don't understand
Find the surface area of the following figure below. Use 3.14 for pi
Answer:
113.04
Step-by-step explanation:
Surface area for a sphere is 4*pi*radius^2
4*3*3*3.14
113.04
The surface area of the sphere with the given radius is 113.04cm².
SphereA sphere is simply a 3-dimensional object with no vertices and edges.
The surface area of a sphere is expressed as;
Area = 4πr²
Given the data in the question;
Radius of the sphere r = 3cmPie π = 3.14To determine the surface area of the sphere, we substitute our given values into the expression above.
Area = 4πr²
Area = 4 × 3.14 × (3cm)²
Area = 4 × 3.14 × 9cm²
Area = 113.04cm²
Therefore, the surface area of the sphere with the given radius is 113.04cm².
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find the missing side round to the nearest tenth.
Answer:
Step-by-step explanation:
Remark
Cos(y) = adjacent Side / hypotenuse
y = 51 degrees
adjacent = 10
Solution
Cos(51) = 10/x Multiply both sides by x
x cos(51) = 10 Divide by Cos(51)
x = 10 / cos(51)
Cos(51) = .6293
x = 10/0.6293
x = 15.89
Please answer this onee :C
Answer:
1
Step-by-step explanation:
Answer:
A) 1
Step-by-step explanation:
The number 1 was spun the fewest times. We know this because there is only one x above the 1, suggesting it wa spun the fewest times.
Hope it helps!!!
given f(x) = x^4 – 3x^3 x – 3. what is limit of f (x) as x approaches negative 2?
A. –45
B. –13
C. 3
D. 35
After considering the given data we conclude that the evaluated limit of the given function is 35, which is option D
Here we have to apply the principle of evaluating function using a dedicated value.
Given [tex]f(x) = x^4 - 3x^3 x - 3,[/tex]we need to evaluate the limit of f(x) as x approaches negative 2.
To evaluate the limit, we can simply substitute x = -2 into the function:
[tex]f(-2) = (-2)^4 - 3(-2)^3(-2) - 3 = 16 + 24 - 2 - 3 = 35[/tex]
Therefore, the limit of f(x) as x approaches negative 2 is 35.
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