Johannes will need to pay $8.61 for 5 pounds of ground beef
What is the cost of the beef?Since Johannes needs 5 pounds of ground beef, and the available pounds are 1.5, 2, 3, and 3.75 pounds.
To reduce the cost, he need to select the package with the lowest cost per pound.
The cost per pound for each package is:
Package 1: $5.58 / 1.5
= $3.72 per pound
Package 2: $7.44 / 2
= $3.72 per pound
Package 3: $1.16 / 3
= $0.39 per pound
Package 4: $13.95 / 3.75
= $3.72 per pound
Therefore, the package with the lowest cost per pound is Package 3 and package 2 which will give us 5 pounds
So he can do it as:
$1.16 + $7.44
= $8.6
Or
(1 package of 3 pounds x $0.39 per pound) + (1 package of 2 pounds x $3.72 per pound)
= $1.17 + $7.44
= $8.61
Therefore, Johannes will need to pay $8.61 for 5 pounds of ground beef.
Learn more about pounds from
https://brainly.com/question/30400750
#SPJ1
In a company, 80% of the workers are women. If people work for the company who aren't women , how many workers are there in all?
There are a total of 2000 workers in all in the company
How many workers are there in all?From the question, we have the following parameters that can be used in our computation:
Women percentage = 80%
People not women = 400
Using the above as a guide, we have the following:
People not women percentage = 1 - 80%
Evaluate
People not women percentage = 20%
So, we have
People not women = People not women percentage * Total
substitute the known values in the above equation, so, we have the following representation
20% * Total = 400
Divide
Total = 2000
Hence. there are 2000 people in the company
Read more about percentage at
https://brainly.com/question/843074
#SPJ1
The diameter of a circle is 22 m. Find its area to the nearest whole number.
Answer:
380
Step-by-step explanation:
The formula for the area of a circle is A = pi r^2
radius is half the diameter so you would do 11 (half of diameter) to the second power, which is 121. Now you would do 121 times pi, which would be 380.132711084. When rounded to the nearest whole, it is 380.
SORRY IF THIS DIDN'T MAKE SENSE!
125 pounds decreased by 4%
Answer:
Step-by-step explanation:
125 pounds decreased by 4% it would be 120 because 4% of 125 is 5, so you subtract 5 from 125 and then you get 120.
Can someone help me with this problem please? :(
Answer:
y =- [tex]\frac{3}{4}[/tex] x + 1
Step-by-step explanation:
This is a linear equation: y = mx + b
First, you are going to find the y-intercept, b, which in this case is 1.In order to find the slope just use the [tex]\frac{rise}{run}[/tex] method, which in this problem it goes down 3 and 4 to the right.Write the 10th term of each sequence. first term 7 and common difference 15
As a result, the sequence's tenth term is 142 as the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15.
what is arithmetic progression ?An arithmetic progress (AP) in mathematics is a set of numbers where each term following the first is formed by adding a predetermined constant to the term before it. The mathematical progression's common difference is the name of this unchanging constant. For instance, the number progression 3, 7, 11, 15, 19,... has a common difference of 4 and is an arithmetic progression. The formula: yields the nth word of an arithmetic progression. a n = a 1 + (n - 1)d where n is the desired term's number, a n is the sequence's nth term, a 1 is its first term, d is its clear differentiation, and n is its number.
given
We can use the following formula to determine the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15:
a n = a 1 + (n - 1) * d
where a n represents the nth term in the series, a 1 represents the first term, d represents the common difference, and n is the desired term's number.
Inputting the values provided yields:
[tex]a 10 = 7 + (10 - 1) (10 - 1) * 15 \\a 10 = 7 + 9 * 15 \\a 10 = 7 + 135 \\a 10 = 142[/tex]
As a result, the sequence's tenth term is 142 as the 10th term of the arithmetic sequence with a first term of 7 and a common difference of 15.
To know more about arithmetic progression visit:
https://brainly.com/question/16947807
#SPJ1
What inequality matches this graph?
A} x > 1
B} x ≥ 1
C} x < 1
D} x ≤ 1
Answer:
x<1
Step-by-step explanation:
looking at the graph, the x values are 0,-1,-2,-3,-4,-5.
therefore, all the values of x are below 1.
x<1 is the suitable inequality that matches the graph.
3 tons of bark cost $23,640.00. What is the price per pound?
pls help me
I NEED HELP WITH “describe linear and nonlinear function” look at the pic please PLEASE HELP ASAP!! EXTRA POINTS
Answer: #1
Step-by-step explanation:
In situation number one, the equation for the garden's area would be [tex]x^2[/tex] which is nonlinear. The other questions map to linear equations in the form [tex]y = mx + b[/tex]
Answer:
Linear relationship always produces a straight line and are without exponential.
2.the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
3.the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
Step-by-step explanation:
Hope this helps! =D
answer is c please help its about limit
Using limits the value of k is c √2
What is the limit of a function?The limit of a function is the valuer the function tends to as the dependent variable tends to a particular value.
Given that the limit lim n → ∞ [x√(x + 1)[1 - √(2x + 3)]/(7 - 6x + kx²) = - 1, we desirte to find the value of k.
So, we proceed as follows
lim n → ∞ [x√(x + 1)[1 - √(2x + 3)]/(7 - 6x + kx²) = - 1
Factorizing out √2x, we have that
lim n → ∞ [x√(x + 1)[1 - √(2x√(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
lim n → ∞ [x√(x + 1)√(2x[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
Also, factorizing out √x, we have that
lim n → ∞ [x√x√(1 + 1/√x)√2x[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
lim n → ∞ [x√x√2x√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
lim n → ∞ [x√2x√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
lim n → ∞ [√2x²√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7 - 6x + kx²) = - 1
Factorizing x² from the denominator, we have that
lim n → ∞ [√2x²√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/x²(7/x² - 6/x + k) = - 1
lim n → ∞ [√2√(1 + 1/√x)[1/√(2x - √(1 + 3/√(2x)]/(7/x² - 6/x + k) = - 1
Now substituting x = ∞ into the equation, we have that
[√2√(1 + 1/√∞)[1/√(2∞ - √(1 + 3/√(2∞)]/(7/∞² - 6/∞ + k) = - 1
[√2√(1 + 0)[0 - √(1 + 0]/(0 - 0 + k) = - 1
[√2√(1)[- √1]/k = - 1
[√2(1)[- 1]/k = - 1
-√2/k = - 1
k = -√2/-1
k = √2
So, the value of k is c √2
Learn more about limits here:
https://brainly.com/question/29897210
#SPJ!
Uncle Fred gives his nephew, Jack, and niece, Jill, £60 between them every year
at Christmas. He splits it between them in the ratio of their ages.
(a) The first time he does this Jack is 1 and Jill is 3. How much does Jill
receive?
(b) How much does Jack receive the following Christmas?
(c) How old will Jack be when he receives £25 from Uncle Fred at Christmas?
a) Jill receives £45
b) Jack receives £20 the following Christmas
c) Jack will be 5/4 years old, which is equivalent to 1 year and 3 months when he receives £25 from Uncle Fred.
Explain the term years
Years are a unit of time measurement used to quantify the duration of one complete orbit of the Earth around the sun. A year consists of 365 days, except in a leap year when an extra day is added. The concept of a year is used in various fields, including astronomy, geology, and history.
According to the given information
(a) Let's first find the total ratio of their ages:
1 + 3 = 4
So Jack's share will be:
1/4 x £60 = £15
And Jill's share will be:
3/4 x £60 = £45
Therefore, Jill receives £45.
(b) The next Christmas, Jack will be 2 and Jill will be 4. We can use the same ratio to find Jack's share:
2/6 x £60 = £20
So Jack receives £20.
(c) Let x be the age of Jack when he receives £25 from Uncle Fred. We know that:
1/4 x £60 = £25
Multiplying both sides by 4/60, we get:
x = 5/4
So Jack will be 5/4 years old, which is equivalent to 1 year and 3 months, when he receives £25 from Uncle Fred.
To know more about years visit
brainly.com/question/14510285
#SPJ1
Compare and contrast the direct write-off method and the allowance method for bad debts.
At a minimum, please consider the following in your answer:
When is the expense for uncollected accounts receivable recognized under each method?
Why is the direct write-off method not considered to follow generally accepted accounting
The direct write-off method and the allowance method are two different ways of accounting for uncollectible accounts receivable.
How do we explain?When an account is found to be uncollectible, the direct write-off method records the expense for uncollected accounts receivable. This approach involves simply writing off the uncollectible account as a bad debt expense and deducting the outstanding quantity from the accounts receivable total.
Despite being quite easy to understand and basic, this method does not adhere to generally accepted accounting principles (GAAP) because it does not match expenses to the time period during which income was generated.
In contrast, the allowance approach establishes an allowance for doubtful accounts contra-asset account and estimates the amount of uncollectible accounts before recognizing the expense for uncollected accounts receivable.
This allowance account is used to lower the balance of accounts receivable to the anticipated amount of collection. Instead of when the account is found to be uncollectible, the expense is recognized at the time the estimate is made. Because it matches the expense to the time period in which the revenue was received, this method is thought to be more accurate than the direct write-off method.
Learn more about write-off method at: https://brainly.com/question/24108628
#SPJ1
Each side of a square office is 3 meters long. It will cost $87.41 per square meter to replace the carpet in the office. What would be the total cost to replace the carpet?
As a result, the square office's carpet replacement would cost $786.69 in total as where a square meter costs $87.41.
what is a square?The geometric shape of a square has 4 equal ends and four equal, right-angled angles (90 degrees). It is an unusual instance of a rectangle with equal sides. The symbol "" is frequently used to denote a square, which is a two-dimensional figure. A square's area is equal to the sum of its sides doubled, or s2, where s denotes the width of a side. The circumference of a square, or 4s, where s is the height of a side, is the total of the lengths among all four sides. Many real-world uses for squares can be found in the fields of mathematics, architecture, construction, and design.
given
The square office's area is:
[tex]C = 9 \times $87.41 = $786.69[/tex]
A = s2 = 3 2 = 9 metres square
To completely replace the carpet, it would cost:
Cost per square meter equals C = A.
where a square meter costs $87.41. When we change the values, we obtain:
As a result, the square office's carpet replacement would cost $786.69 in total as where a square meter costs $87.41.
To know more about the Square visit:
brainly.com/question/14198272
#SPJ1
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the 6 months before the exercise program began and in the 6 months following the exercise program. Following are the results.
Employee Before After
1 8 7
2 7 3
3 8 2
4 8 4
5 6 5
6 7 10
7 6 4
8 8 9
At the 0.050 significance level, can he conclude that the number of absences has declined?
a. Compute the test statistic.
b. Compute the p-value.
The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073.
How to solve the question?
To determine whether the fitness program has had a significant effect on reducing employee absenteeism, we need to conduct a hypothesis test.
Null hypothesis: The average number of absences before and after the fitness program are the same.
Alternative hypothesis: The average number of absences after the fitness program is less than before the program.
To test this hypothesis, we can use a one-tailed paired t-test with a significance level of 0.05. We will calculate the difference between the number of absences before and after the program for each employee, and then compute the mean and standard deviation of the differences. The t-test statistic will then be calculated as the mean difference divided by the standard deviation of the differences, multiplied by the square root of the sample size.
Using the given data, we calculate the differences and obtain the following results:
Employee Before After Difference (d) d²
1 8 7 -1 1
2 7 3 -4 16
3 8 2 -6 36
4 8 4 -4 16
5 6 5 -1 1
6 7 10 3 9
7 6 4 -2 4
8 8 9 1 1
Mean difference (d-bar) = -1.25
Standard deviation of differences (s) = 3.27
Sample size (n) = 8
The t-test statistic can now be calculated as:
t = (d-bar / (s / √(n))) = (-1.25 / (3.27 / √(8))) = -1.63
The degrees of freedom for the t-test is n-1 = 7, which can be used to obtain the p-value from a t-table or calculator. Using a one-tailed test with a significance level of 0.05 and 7 degrees of freedom, the critical t-value is -1.895.
Since our calculated t-value (-1.63) is greater than the critical t-value (-1.895), we fail to reject the null hypothesis. In other words, we do not have sufficient evidence to conclude that the fitness program has resulted in a significant reduction in employee absenteeism.
The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073. Since this p-value is greater than the significance level, we again fail to reject the null hypothesis.
To know more about statistics visit :-
https://brainly.com/question/15525560
#SPJ1
Is (7,-6) a solution to this system of equations?
y = 1/7x+ 7
X = 7
yes
no
Find the surface area
Round to the nearest tenth
The surface area of the triangular prism is 672 square millimeters.
what is surface area ?
Surface area is a metric used to determine how much overall space an object occupies. the total volume of the area of surface of a three-dimensional shape. The term "surface area" refers to a three-dimensional shape's entire surface area.
The triangular base has a height of 7 mm and a base of 24 mm, so its area is:
[tex]1/2 * base * height = 1/2 * 24 \ mm * 7\ mm = 84 \ mm^2[/tex]
There are two identical triangular faces, so their combined area is:
[tex]2 * 84 \ mm^2 = 168\ mm^2[/tex]
The three rectangular faces are all the same size, with a length of 24 mm and a height of 7 mm, so the area of each is:
[tex]length * height = 24 \ mm * 7 \ mm = 168 \ mm^2[/tex]
There are three rectangular faces, so their combined area is:
[tex]3 * 168\ mm^2 = 504\ mm^2[/tex]
To find the total surface area, we add the area of the two triangular faces to the area of the three rectangular faces:
[tex]168 \ mm^2 + 504 \ mm^2 = 672 \ mm^2[/tex]
Therefore, the surface area of the triangular prism is 672 square millimeters.
To know more about surface area visit,
brainly.com/question/2835293
#SPJ1
at first, only 1/3 of the students who were going on the band trip were on the bus. after 21 students got on the bus 4/5 of the students who were going on the trip were on the bus. how many students were going on the band trip
The total number of students going on the band trip is 45.
how many students were going on the band trip?Let's denote the total number of students going on the band trip as "x". According to the given information:
Initially, only 1/3 of the students were on the bus, which means (1/3)x students were on the bus.
After 21 students got on the bus, the number of students on the bus increased to 4/5 of the total number of students going on the trip, which is (4/5)x students.
We can create an equation based on this information:
(1/3)x + 21 = (4/5)x
To solve for "x", we can follow these steps:
Subtract (1/3)x from both sides of the equation to isolate the "x" term on one side:
(1/3)x + 21 - (1/3)x = (4/5)x - (1/3)x
21 = (7/15)x
Multiply both sides of the equation by 15/7 to eliminate the fraction:
(15/7) * 21 = (15/7) * (7/15)x
45 = x
Laern more about fractions at:
https://brainly.com/question/11562149
#SPJ1
Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
Read more about expression
brainly.com/question/1859113
#SPJ1
You paid $6.99 for a shirt that was 70% off; what was the original price of the shirt?
Answer:
$23.30
Step-by-step explanation:
We Know
You paid $6.99
The shirt was 70% off
$6.99 = 30%
What was the original price of the shirt?
We Take
(6.99 ÷ 30) x 100 = $23.30
So, the original price is $23.30
I am struggling if you have done this assignment before don't hesitate to send the whole thing
The values of x, y and z are given as follows:
x = 10.7.y = 12.3.z = 21.8.What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases for the triangle in this problem are given as follows:
6 and 19.
Hence the segment x is obtained as follows:
x² = 6 x 19
x = sqrt(6 x 19)
x = 10.68.
Applying the Pythagorean Theorem, the value of y is given as follows:
y² = 6² + 10.68²
y = sqrt(6² + 10.68²)
y = 12.25.
The value of z is given as follows:
z² = 10.68² + 19²
z = sqrt(10.68² + 19²)
z = 21.8.
More can be learned about the geometric mean theorem at https://brainly.com/question/10216660
#SPJ1
Find the interest
earned:
$9,900 for 24 months
at 7.8% annual simple
interest
To find the simple interest earned on an investment, we use the formula:
I = P * r * t
Where:
I = simple interest earned
P = principal amount invested
r = annual interest rate (as a decimal)
t = time period of investment (in years)
In this case, we have:
P = $9,900
r = 7.8% = 0.078 (since the rate is given as an annual rate, we need to divide by 100 to get the decimal equivalent)
t = 24 months / 12 months/year = 2 years
Substituting these values into the formula, we get:
I = 9,900 * 0.078 * 2
= $1,545.60
Therefore, the simple interest earned on the investment is $1,545.60.
Find the missing side
Please help
Answer:
The answer is D. 4(sqrt(5))
Step-by-step explanation:
To find this we use the Pythagorean Theorem a^2+b^=c^2
So making 4 = to a, and 8 = to, and x = to, we do
4^2+8^2= 80
Then we take the square root of 80 to find the missing side, which is equal to 4(sqrt(5)
Good luck!
a) Calculate the scale factor from shape A to shape B. b) Find the value of t. Give each answer as an integer or as a fraction in its simplest form.
Answer:
a) The scale factor is [tex]\frac{4}{5}[/tex]
b) [tex]t=5\frac{3}{5}[/tex]
Step-by-step explanation:
The scale factor from shape A to shape B is the value that is multiplied by the side measures of shape A to arrive at the side measures of shape B.
In other words, 5 times a certain value is 4, 15 times a certain value is 12. and 7 times a certain value is t.
Let's start by calling our "certain value" k.
[tex]5k=4=\\k=\frac{4}{5}[/tex]
Let's check 15 to make sure k is 4/5, like so:
[tex]15(\frac{4}{5})=\\\frac{60}{5} =\\12[/tex]
Since 15 times 4/5 is twelve, our initial answer was correct.
So, the scale factor, or k, is 4/5.
Following this logic, we know that 7 multiplied by the scale factor is equal to t.
Let's set up an equation and solve for t:
[tex]7(\frac{4}{5} )=t=\\\frac{28}{5} =t=\\5\frac{3}{5} =t[/tex]
So, [tex]t=5\frac{3}{5}[/tex]
NO LINKS!! URGENT HELP PLEASE!!!!
If x < 0 and y > 0, determine the sign of the real number.
Answer:
(a) The product xy is negative because one of the factors (x) is negative and the other factor (y) is positive. Therefore, the sign of xy is negative.
(b) The expression x^2y is also negative because x^2 is positive (the square of any real number is positive) and y is positive, so their product is positive. But since x is negative, the overall product is negative.
(c) The expression x/y + x can be written as (x/x)y + x, which simplifies to y + x. Since y is positive and x is negative, the sum y + x could be either positive or negative, depending on which absolute value is greater. If |y| > |x|, then y + x is positive. If |x| > |y|, then y + x is negative.
(d) The expression y-x is positive because y is greater than x and y is positive while x is negative. So the difference y-x is positive.
If you look up the definition of absolute in the dictionary, you’ll find several definitions. All of them reference totality, completeness, and having no limitations or dependence on anything else. The definition of the absolute value of a number is its magnitude, or distance, from zero. How do these two definitions connect?
A relationship between two definitions can be seen through the idea of magnitude or distance.
How do these two definitions connect?Finding an absolute value of a number requires us to inspect the difference between that figure and zero on a number line; this amount is always positive regardless of whether the initial number was negative or positive. To illustrate, the absolute value of -5 is 5 since there is only five units separating it from zero.
The absolute value primarily entails a totality- recognizing the entirety of someone's peculiarity independent of their direction. It serves as a method of measuring the scope or size of a number without any external parameters or assessment.
Read more on magnitude here:https://brainly.com/question/30337362
#SPJ1
The frequency table represents the fraction of an hour
Rita spends writing in her journal each night. Represent
this data in the line plot.
16. What fraction of an hour did Rita spend most days
writing?
17. What is the difference between the greatest amount
of time spend writing and the least?
A line plot that represents the data is shown in the image attached below.
A fraction of an hour which Rita spend most days writing is 3/4.
The difference between the greatest amount of time spend writing and the least is 3/4.
What is a line plot?In Mathematics and Statistics, a line plot is a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.
In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set on a line plot as shown in the image attached below.
Additionally, we can logically deduce that the mode of the data set is equal to 3/4 (the fraction of an hour Rita spend most days writing) because it has the highest frequency of 5.
Difference = greatest amount of time - least amount of time
Difference = 1 - 1/4
Difference = 3/4.
Read more on line plot here: brainly.com/question/28741427
#SPJ1
El m.c.m y m.c.d de 15 21 y 63
An inductor of l = 250 is subjected to a voltage v(t) = 8 e-4t V:
A. Knowing that, integrate both sides to determine the current i(t). You may assume that the initial current is zero.
B. Given that the absorbed power is, determine the total stored energy.
Total stored energy = (1/625) ∞
What understand by voltage?Voltage, also known as electric potential difference, is the measure of the electric potential energy per unit of charge in an electric circuit. It is the force that drives the electric charge in a circuit, similar to how pressure drives water through a pipe. Voltage is measured in volts (V) and is usually represented by the symbol "V". Voltage can be either positive or negative, depending on the direction of current flow and the orientation of the voltage source.
A. The voltage across an inductor is proportional to the time derivative of the current through it, according to Faraday's law of electromagnetic induction. This can be expressed mathematically as:
v(t) = L di/dt
where v(t) is the voltage across the inductor, L is the inductance in henries, and di/dt is the time derivative of the current through the inductor.
In this case, we have [tex]v(t) = 8e^{(-4t)[/tex] V and L = 250 H. Integrating both sides of the above equation with respect to time gives:
∫v(t) dt = L ∫di/dt dt
∫[tex]8e^{(-4t)} dt = 250[/tex] ∫di/dt dt
[tex]-2e^{(-4t)[/tex]= 250i(t) + C
where C is the constant of integration. We can assume that the initial current is zero, so at t = 0, i(0) = 0. This means that C = -2. Substituting this into the equation above, we get:
[tex]-2e^{(-4t)[/tex]= 250i(t) - 2
Solving for i(t), we get:
i(t) = (2/250) [tex]- (2/250)e^{(4t)[/tex]
B. The power absorbed by an inductor is given by:
P = i² R
where P is the power, i is the current, and R is the resistance of the circuit. In an ideal inductor, the resistance is zero, so the power absorbed is also zero.
However, the energy stored in an inductor can be calculated using the following formula:
E = 1/2 L i²
where E is the energy stored, L is the inductance, and i is the current.
In this case, we have L = 250 H and i(t) = (2/250) [tex]- (2/250)e^{(4t)[/tex]Substituting these values into the above equation, we get:
E = 1/2 (250) [(2/250) [tex]- (2/250)e^{(4t)]^2[/tex]
Simplifying this expression, we get:
E = (1/625) [tex]- (2/625)e^{(4t)[/tex]+ (2/625)e^(8t)
To determine the total stored energy, we need to integrate this expression over the interval 0 to infinity, since the voltage and current are given for all values of t. This gives:
Total stored energy = ∫E dt from 0 to infinity
Total stored energy = (1/625) ∫1 dt from 0 to infinity[tex]- (2/625) ∫e^{(4t)[/tex]dt from 0 to infinity + (2/625) ∫e^(8t) dt from 0 to infinity
Total stored energy = (1/625) ∞ [tex]- (2/625) [1/4 e^{(4t)][/tex]from 0 to infinity + (2/625) [1/8 e^(8t)] from 0 to infinity
Since the integrals involving exponential functions go to infinity as t goes to infinity, these terms become zero. Therefore, we are left with:
Total stored energy = (1/625) ∞
which is an infinite value. This is because the energy stored in an inductor is not finite, but rather is dependent on the magnetic field generated by the inductor, which can extend infinitely far.
To know more about voltage visit:
https://brainly.com/question/1176850
#SPJ1
2 ¿Qué figura tiene exactamente 2 ejes de simetría? F G H J K
The figure given that has exactly two lines of symmetry is C. Rectangle.
How many lines of symmetry does a rectangle have ?A rectangle has two lines of symmetry.
A line of symmetry is a line that divides a shape into two equal parts that are mirror images of each other. In a rectangle, the two lines of symmetry run through the center of the rectangle, dividing it into two congruent halves. These lines of symmetry are perpendicular to each other and bisect both pairs of opposite sides of the rectangle.
Therefore, a rectangle has two lines of symmetry, one horizontal and one vertical, which make it a symmetrical shape.
Find out more on lines of symmetry at https://brainly.com/question/109377
#SPJ1
Barry buys a plot of land that measures 1/4 acre. He divides the plot into 3 equal pieces
The calculated area of each piece is 1/12 acre
Calculating the area of each pieceIf Barry buys a plot of land that measures 1/4 acre, then the total area of the land is 1/4 acre.
If he divides the land into 3 equal pieces, then each piece will have 1/3 of the total area.
So the area of each piece will be:
Area of each piece = (1/3) x (1/4) acre
Multiplying the fractions, we get:
Area of each piece = 1/12 acre
Therefore, each piece of land will have an area of 1/12 acre.
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Mr. Hernandez has a high-speed printer that can produce 32 pages per minute.
Write an equation that shows the relationship between the print time in minutes, x, and the number of pages printed, y.
y =
An equation that shows the relationship between the print time in minutes, x, and the number of pages printed, y is y = 32x
The equation that shows the relationship between the print time in minutes, x, and the number of pages printed, y, can be obtained using the following formula:
y = r * x
where r represents the rate of printing in pages per minute, which in this case is 32 pages per minute.
Therefore, the equation becomes:
y = 32x
This equation states that the number of pages printed, y, is directly proportional to the print time in minutes, x, at a rate of 32 pages per minute.
For example, if Mr. Hernandez wants to print 128 pages, we can use the equation to find out how long it will take him:
128 = 32x
x = 128/32
x = 4
Therefore, it will take Mr. Hernandez 4 minutes to print 128 pages on his high-speed printer.
In summary, the equation y = 32x represents the relationship between the print time in minutes, x, and the number of pages printed, y, when using a high-speed printer that can produce 32 pages per minute.
To learn more about equation click on,
https://brainly.com/question/8539807
#SPJ1