Answer:
$126.00
Step-by-step explanation:
1 you Multiply .50×18=9
so the ratio is 9 per box
you add 6+8=14 and then 14×9=126
use phasor methods to transform a circuit from the time domain to the frequency domain
The frequency-domain equivalent circuit equation obtained using phasor methods can be used to analyze the behavior of the circuit at different frequencies, and to predict the performance of the circuit under various operating conditions.
To transform a circuit from the time domain to the frequency domain using phasor methods, follow these steps:
Convert the circuit elements, such as resistors, capacitors, and inductors, into phasors using Kirchhoff's laws.Draw the phasor diagram of the circuit, with the voltage and current vectors as phasors.Apply the Laplace transform to the circuit equation, using the correct transform rule (e.g. convolution for AC circuits).Obtain the frequency-domain equivalent circuit equation by inverse Laplace transforming the transformed circuit equation.Verify that the frequency-domain equivalent circuit equation is consistent with the phasor diagram and the behavior of the circuit in the time domain.Learn more about circuit equation
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What is the first step in solving the inequality m-2/6< –1
Steps to solve:
m - 2/6 < -1
~Add 2/6 to both sides
m < -4/6
Best of Luck!
one end of a 10-foot ladder is 6 feet from the base of a wall. how high on the wall does the top of the ladder touch?
The top of the ladder touches a height of 8 feet on the wall. To determine how high on the wall the top of the ladder touches, we can use the Pythagorean theorem.
In this case, the ladder forms the hypotenuse of a right triangle, and the base of the wall and the height on the wall form the other two sides.
Let's denote the height on the wall as 'h'. According to the problem, one end of the ladder is 6 feet from the base of the wall, so the base of the triangle is 6 feet.
We can set up the equation using the Pythagorean theorem:
\((6)^2 + (h)^2 = (10)^2\)
Simplifying the equation:
36 + \(h^2\) = 100
\(h^2\) = 100 - 36
\(h^2\)= 64
Taking the square root of both sides:
h = √64
h = 8
Therefore, the top of the ladder touches a height of 8 feet on the wall.
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the sscp exam consists of ____ multiple-choice questions, and must be completed within three hours.
Answer:
125 questions
Answer:
125 questions
Step-by-step explanation:
since r is so widely used, it is appropriate to calculate r for nonlinear data.true/false
since r is so widely used, it is appropriate to calculate r for nonlinear data: False.
The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.
In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.
n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.
When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.
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Please find the area
The area of the kite is 84 m²
What is the area of a kite?Since the figure is a kite, the area of a kite is given by A = d₁d₂/2 where
d₁ = length of first diagonal and d₂ = length of second diagonalFrom the figure, we see that
d₁ = 6 m + 6 m = 12 m andd₂ = 10 m + 4 m = 14 mSo, to find the area of the kite, we substitute the values of the variables into the equation. So, we have that
A = d₁d₂/2 where
d₁ = length of first diagonal = 12 m and d₂ = length of second diagonal = 14 mSo, we have
A = d₁d₂/2
A = 12 m × 14 m/2
A = 6 m × 14 m
A = 84 m²
So, the area is 84 m²
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Which algebraic expression represents “the quotient of a number and six”?
Answer:
The last answer w/6
Step-by-step explanation:
The quotient of a number and six is like saying a number divided by 6 which we represent with w.
Brainliest Please . . . .
Answer:
last option (w/6)
Step-by-step explanation:
Quotient=division
"the number" represents a variable, in this case W
divide it by six
that's W/6
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
The percentage given shows that the amount is decreasing by 8%.
How to illustrate the information?From the information given, the function is f(x) = 9,628(0.92)x. This illustrates that the amount is decreasing by 8% she compared to the previous year. This was computed as:
= 1 - 0.92
= 0.08
= 8%
For part B, the percentage change will be:
= (8,972 - 8,074.80)/8972 × 10
= 10%
Therefore, the account recorded a greater percentage change in amount of money over the previous year is account B as 20% is lore than 8%.
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how to determine if a function has a horizontal asymptote
If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.
To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.
Degree of Polynomials:
If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.
Limits:
Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.
Infinity:
If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.
By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.
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since 1970,when Martin graduated from high school, he has gained 2 pounds every year. in 2000, he was 40% heavier than in 1970. what percent of his 2015 weight was his 2000 weight?
The percent of his 2015 weight that was his 2000 weight is 14.286%
What is the percent?The first step is determine Martin's weight in 1970.
The equation that would be used to determine this value is:
Weight in 2000 = weight in 1970 + (increase per year x difference in years)
1.40w = w + [2 x (2000 - 1970)]
1.40w = w + (2 x 30)
1.40w - w = 60
0.40w = 60
w = 60 / 0.4
w = 150
Weight in 2015 = 150 x 1.40 = 210
Weight in 2015 = 150 + [2 x (2015 - 1970)]
150 + [2 x 45]
150 + 90
= 240
Percent o0f his 2015 weight that was his 2000 weight = (240 / 210) - 1 = 0.14286 = 14.286%
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John is 5 years younger than three times his brother’s age. If the sum of their
ages is 31, how old is John?
Answer:
I think 10
Step-by-step explanation:
Answer:
John is 9
Step-by-step explanation:
(9*3)-5=22+9=31
Please write well.
Answer the following question when X₁, X₂,..., X is a random sample from an exponential family with the following probability density function. f(x 0) = exp (0T(x) + d(0)+ S(x)) a. H: 0= 0 vs H₁
Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).
To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.
Null hypothesis: 0= 0
Alternative hypothesis: 0 ≠ 0
Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:
f(x|θ) = h(x) exp{θT(x) − A(θ)},
where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.
The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.
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What expression is equal to COS B????
Answer:
A/C
Step-by-step explanation:
Since the sum of the angles in a triangle equals 180°, and angle C is 90°.
That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.
We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.
Your welcome! :)
the radius of the inscribed circle is $6$ cm. what is the number of centimeters in the length of $\overline{ab}$? express your answer in simplest radical form.
The number of centimeters in the length of ab is 12 cm.
A polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
An inscribed circle is a circle that is contained within a polygon such that the circle touches all sides of the polygon. If the radius of the inscribed circle is 6 cm, then the diameter of the circle is 12 cm.
The diameter of a circle divides the circle into two equal parts, called semicircles. If we draw a line segment from one end of a diameter to the opposite vertex of the polygon, the length of that line segment is the same as the diameter of the inscribed circle. In this case, the length of line segment $\overline{ab}$ is 12 cm.
The number of centimeters in the length of ab is 12 cm.
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What Transformation creates similar triangles?
a. Dilation
b.Rotation
C.Reflection
d.Translation
Answer:
translation
Step-by-step explanation:
Find the area of a circle whose circumference is 24 pi.
Answer:
452.39 sq.unit is the area of that circle.
2. Hanna made 5 hit out of 13 during her first baseball game. What percentage of hits did she make?
A. 50% B. 38% C. 18% D. 31%
Answer:
B. 38%
Explanation:
Given parameters:
Number of hits = 5hit
Total hits = 13
Unknown:
Percentage of hits shed made = ?
Solution;
The percentage of hit made = \(\frac{number of hits }{Total hits}\) x 100
input the parameters and solve;
Percentage of hit made = \(\frac{5}{13} x 100\)
Percentage of hit = 38%
Percentage of hit = 38%
show that the transformation in exercise 8 is merely a rota- tion about the origin. what is the angle of the rotation?
This a question that has to do with a Rotation about the origin. It is to be noted that T: \(\mathbb{R}^{2}\) → \(\mathbb{R}^{2}\) As given in the question. See the explanation below.
What is the explanation for the above answer?First Case:
T (R1, R2) = (+r1, -r2)
Let Bl = {(1,0), (0,1)} Standard Bases
⇒ (T(1, 0) = (+1, 0)
T (0, 1) = (0, -1)
Then matrix is:
A1 = \(\begin{bmatrix} +1& 0\\0 & -1\end{bmatrix}\) and A1 R1 = \(\begin{bmatrix} r1\\y2\end{bmatrix}\)
Second Case
T (1, 0) = (0, 1)
T (0, 1) = (1, 0)
The Matrix is:
A2 = \(\begin{bmatrix} 0& 1\\1 & 0\end{bmatrix}\)
Hence,
TA2 (TA1(r1)) = \(\begin{bmatrix} 0& 1\\1 & 0\end{bmatrix}\) \(\begin{bmatrix} r1\\r2\end{bmatrix}\) = \(\begin{bmatrix} -r2\\r1\end{bmatrix}\)
Thus
(TA2 * TA1) (r) = \(\begin{bmatrix} 0& -1\\1 & 0\end{bmatrix}\) \(\begin{bmatrix} r1\\r2\end{bmatrix}\)
The standard Matrix is:
\(\mathbb{A} = \begin{bmatrix} 0& -1\\1 & 0\end{bmatrix}\)
In this case,
T (0, 0) = (0, 0)
⇒ Transformation is rotation about the origin.
Hence Rotation Matrix is given as:
Tθ = \(\begin{bmatrix} Cos \theta & - Sin \theta\\Sin \theta & Cos\theta\end{bmatrix}\) ⇒ θ = π/2
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Sarah works part-time after school and weekends. she earns $120 /week. her expenses are as follows. complete the table
Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses. Sarah's expenses may vary, but here are some common examples she might have:
1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.
4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.
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Mae Ling earns a weekly salary of $340 plus a 6.0% commission on sales at a gift shop.
How much would she make in a work week if she sold $4,300 worth of merchandise?
Answer:
Step-by-step explanation:
Mae Ling has a salary of 340 dollars, plus 6.0% commission
she sold 4300 worth of merchandise, this will add to her
4300*6/100=258 dollars
Her salary in that week will be:
340+258=598 dollars
Mr.Goldstein is driving to Houston.The equation y=45x+70 represent the number of miles that he still has to travel after driving for x hours .find and interpret the slope and the y-intercept of the line that represents this situation
In the given equation, 45 represents the slope and 70 represents the y-intercept.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
The y-intercept equation is y=mx+b
(m) is the slope
(b) is the y intercept
y=45x+70
So in the given equation, 45 would be the slope and 70 is the y-intercept.
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Our basketball team won 60 percent of their games. If they lost 8 games, how many games did they play altogether?
Answer:
they played 20 games together
Step-by-step explanation:
use percentages
Let x be the number of total games.
If 60% is won games then 40% is lost games.
(8/x)*100 = 40
8/x = 4/10
80 = 4x
X = 80/4
Therefore the number of games is 20
An electronic chess game has a useful life that is exponential with a mean of 30 months. The length of service time after which the percentage of failed units will approximately equal 50 percent? 9 months 16 months 21 months 25 months QUESTION 17 A majof television manufacturer has determined that its 50 -inch LED televisions have a mean service life that can be modeled by a normal distribution with a mean of six years and a standard deviation of one-haif year. What probability can you assign to service lives of at least five years? (Please keep 4 digits after the decimal point
In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.
For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.
1. Electronic Chess Game:
The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.
2. LED Televisions:
The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).
Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).
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Remy wanted to measure the angle of the slide in the playground. He used a piece of folded paper that was 10°. He measured that 3 of the folded paper angles would fit in the angle made by the slide. What was the angle of the slide?
Answer:
30°
Step-by-step explanation:
Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:
10° * 3 = 30°
The angle of the slide is 30°
Mathematics questions
Answer:
?
Step-by-step explanation:
no question at all. You need to upload your picture or type your picture in
To reduce a fraction, divide the numerator and denominator by the ? . Select one:
a. denominator
b. numerator
c. same number
d. smallest fraction
To reduce a fraction, you divide the numerator and denominator by the same number.
This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.
Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.
Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.
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Matt brings $40 to the toy store. He buys 7 toy cars that cost $4 each. How much money does Matt have left?
Answer:
12
Step-by-step explanation:
7x4=28
40-28=12
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
What is the value of (2.4)3? 72 18.325 13.824 7.2
The cube of 2.4 is 13.824
What is a cube ?A cube can be described as when a number is multiplied three times. This means a product of the same number three times
From the question we are asked to calculate the cube of 2.4
(2.4)³
= 2.4 × 2.4 × 2.4
= 13.824
Hence the cube of 2.4 is 13.824
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