The amount deducted from his paycheck for health insurance bi weekly is; $100.94
What is the amount deducted?
Since 70% of his health insurance premium is paid by his employer and the remaining deducted, then;
Scott's amount deducted per week for health insurance = 8,748 x 30% = $2,624.40
There are 52 weeks in a year and as such, amount deducted weekly is;
2,624.40/52 weeks = $50.47
Amount deducted bi weekly = 50.47 × 2 = $100.94
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Evaluate the integral by making an appropriate change of variables. ∬r6sin(49x2+25y2) da, where r is the region in the first quadrant bounded by the ellipse 49x2+25y2=1.
The integral expression [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex] is given as a polynomial function
The result of the integral [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex] is [tex]\frac{\pi}{140}(1 - \cos(1))[/tex]
How to evaluate the integral?The integral expression is given as:
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex]
To transform the ellipse in the form [tex]a^2x^2 + b^2y^2 = 1[/tex], we make use of the following equation
[tex]u = ax[/tex] and [tex]v = by[/tex]
So, we have:
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|J|} \, dudv[/tex]
Where:
[tex]u^2 = 49x^2[/tex] and [tex]v^2 = 25y^2[/tex]
This gives
[tex]u = 7x[/tex] and [tex]v = 5y[/tex]
And
[tex]J = \frac{x}{u} * \frac{y}{v}[/tex]
[tex]J = \frac{x}{7x} * \frac{y}{5y}[/tex]
Evaluate the product
[tex]J = \frac{1}{35}[/tex]
Substitute [tex]J = \frac{1}{35}[/tex] in [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|J|} \, dudv[/tex]
So, we have:
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|\frac{1}{35}|} \, dudv[/tex]
This gives
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)\frac{1}{35}} \, dudv[/tex]
Factor out 1/35
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} \int\limits \int\limits^{}_R {\sin(u^2 + v^2)} \, dudv[/tex]
The equation is in the first quadrant.
So, we have:
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} \int\limits^{\pi/2}_0 \int\limits^{1}_0 {\sin(r^2)} \, rdrd\theta[/tex]
Integrate
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} * [\theta]|\limits^{\pi/2}_0 * [-\frac 12\cos(r^2)]|\limits^{1}_0[/tex]
Evaluate the product
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\theta]|\limits^{\pi/2}_0 * [\cos(r^2)]|\limits^{1}_0[/tex]
Expand
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} - 0] * [\cos(1) - \cos(0)][/tex]
Evaluate the difference
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} ] * [\cos(1) - \cos(0)][/tex]
Evaluate cos(0)
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} ] * [\cos(1) -1][/tex]
Evaluate the product
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{\pi}{140}(\cos(1) -1)[/tex]
This gives
[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{\pi}{140}(1 - \cos(1))[/tex]
Hence, when the integral is evaluated, the result is [tex]\frac{\pi}{140}(1 - \cos(1))[/tex]
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In the reaction n2 + 3h2 ⇌ 2nh3, an experiment finds equilibrium concentrations of [n2] = 0. 1 m, [h2] = 0. 05 m, and [nh3] = 0. 001 m. What is the equilibrium constant kc for this reaction?
How far below the bridge will kate eventually be hanging, once she stops oscillating and comes finally to rest? assume that she doesn't touch the water
The distance below the bridge that kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.
DistanceLetForce exerted by a spring=F=kx
Let x = (d – L)
Let d= Total length of the bungee cord
Let set this equal to the gravitational force
F(spring) = k(d – L)
F(gravity) = mg
Hence:
k(d – L) = mg
(d – L) = mg/k
d = mg/k + L
Inconclusion the distance below the bridge that kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.
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Two hamsters work together and move a pile of sunflower seeds in 7 1/2 minutes
It would take the first hamster 20 minutes to do it alone and the second hamster 12 minutes to do it alone.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Let x represent the rate of the first hamster and y the rate of the second hamster. One hamster need 8 more minutes to do it alone, hence:
x = y + 8
The Two hamsters work together and move a pile of sunflower seeds in 7 1/2 minutes, hence:
(1/x + 1/y)7.5 = 1
(1/(y + 8) + 1/y)7.5 = 1
Hence:
y = 12
x = y + 8 = 12 + 8 = 20
It would take the first hamster 20 minutes to do it alone and the second hamster 12 minutes to do it alone.
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Helena needs 3. 5 cups of flour per loaf of bread and 2. 5 cups of flour per batch of muffins. She also needs 0. 75 cup of sugar per loaf of bread and 0. 75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4. 5 cups of sugar available for baking. Which combination of loaves of bread and batches of muffins could helena bake? 2 loaves of bread and 4 batches of muffins 3 loaves of bread and 3 batches of muffins 4 loaves of bread and 2 batches of muffins 5 loaves of bread and 1 batch of muffins
Answer:
2 loaves of bread and four batches of muffins
A car traveling at a speed of 24 m/s comes to a stop at a red light. How much time will it take for the car to stop if its acceleration is –8. 0 m/s2? 3 s 16 s 32 s 192 s
Answer:
3 s
Explanation:
final velocity x first velocity / -8.0m/s2
The use of phrases, fragments, and punctuation can affect the pace and mood of a text. how would you describe the pace of the following passage? "of my own thoughts it is folly to speak. swooning, i staggered to the opposite wall. for one instant the party upon the stairs remained motionless, through extremity of terror and of awe. in the next, a dozen stout arms were toiling at the wall. it fell bodily." slow fast both fast and slow average
The punctuations used in the sentences help us identify the mood of the text and the pacing of the passage can be described as fast.
What is the meaning of pacing an excerpt with punctuation?Punctuation pacing tells your reader whether to speed up or slow down whilst reading your content. It highlights the fact and provides clarity.
Many authors, however, fail to accurately punctuate their sentences correctly. These errors can have a significant impact on the readability as well as clarity of published contents.
In the given passage, the pace of the passage is described as being fast through the passage.
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Answer:
B is the correct answer ( Fast )
Explanation:
The joint probability distribution of the number x of cars and the number y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table.
The joint probability distribution combines the probabilities of x and y
The probability that there is exactly one car and exactly one bus during a cycle is 0.020
How to determine the probability from the probability table?The complete question requests that the probability that there is exactly one car and exactly one bus during a cycle be calculated.
This means that, we check the table where the values of x and y are 1.
i.e.:
P(x,y) = P(1,1)
From the complete table, we have:
P(x,y) = P(1,1) = 0.020
Hence, the probability that there is exactly one car and exactly one bus during a cycle is 0.020
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Choose the line from romeo and juliet that is the best example of alliteration
Answer:
from forth the fatal loins of these two foes; a pair of star-cross'd lovers take their life.
A student measures the mass and volume of a small cube made of an unknown metal. The mass of the cube is 25. 0 g, and the volume of the cube is 3. 19 cm3. The student is told that the cube is a sample of one of the four metals listed in the table
With the density found you can use the value to map out the corresponding metal from the table
Density of metal = 1.3157 g/cm^3
Mass, Volume and DensityGiven Data
Mass of cube = 25g
Volume of cube = 19 cm^3
With the given data we can find the density of the unknown sample
Density is expressed as = Mass/Volume
Density = 25/19
Density = 1.3157 g/cm^3
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A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a 250-ton progressive punch press with a wipe-down operation that puts two 90-degree forms in the flat steel to make the trough. The distance from one side of the form to the other is critical because of weatherproofing in outdoor applications. The company requires that the width of the trough be between 8. 31 inches and 8. 61 inches. The file trough contains the widths of the troughs, in inches, for a sample of n = 49. What is the t-statistic calculated from the sampled data?
The t-statistics that will ba calculated from the data about the steel housing will be -5.936.
How to calculate t-statistic?From the information given, the component part of the housing is a steel trough that is made out of a 14-gauge steel coil.
From the complete question that has the data, the t-statistic will be calculated thus:
u = 8.46
x bar = 8.422
s = 0.04
n = 49
Therefore, the t-statistics will be:
= (8.421 - 8.46) / (0.046 / ✓49)
= -5.936
In conclusion, the t-statistics is -5.936.
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What are the domain and range of the function f(x) = 3x + 5? domain: ; range: domain: ; range: domain:; range: domain: ; range:
Answer:
b
Explanation:
look at domain and range
What characteristics of the mice is an adaptation that increase their fitness
Answer:
camouflage
Explanation:
hope this helps
What is the best response to the following question? ¿adónde vas? voy milla. Voy mapa. Voy esquina. Voy derecho
According to the context, the correct answer to the given question is "Voy derecho", which is linked to the absence of turns or detours.
Where are you going? - I'm going straight.Translation: Where are you going? - I'm going straight.What is a way?It is a route where cars circulate or a path to travel on foot that leads to a certain place.
When a person goes straight, it means that he is going to the place moving in one direction.
Therefore, we can conclude that according to the context, the correct answer to the given question is "Voy derecho ".
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Answer:
The answer to your question is
D. Voy derecho
An employee wants to earn at least $255 at his job this week. He earns $68 on monday. If the employee earns $8. 50 per hour, which number line shows the hours he needs to work the remainder of the week?
Answer:
He will need to work 22 more hours in the remainder of the week
Define a function print_feet_inch_short(), with parameters num_feet and num_inches, that prints using ' and " shorthand. End with a newline. Remember that print() outputs a newline by default. Ex: print_feet_inch_short(5, 8) prints: 5' 8" hint: use \" to print a double quote
The function print_feet_inch_short(), with parameters num_feet and num_inches, that prints using ' and " shorthand. End with a newline is as follows:
def print_feet_inch_short(num_feet, num_inches):
print(str(num_feet) + " ' ", str(num_inches)+"\"")
print_feet_inch_short(5, 6)
Code explanation:The code is written in python.
We defined a function named "print_feet_inch_short". The function accept two argument namely "num_feet" and "num_inches".We print the string format of our argument with the required apostrophe. Then, we finally call the function with the required parameters.learn more on python here: https://brainly.com/question/24551910
Answer:
def print_feet_inch_short(num_feet, num_inches):
print(str(num_feet) + "'", str(num_inches)+"\"")
Explanation:
Which metaphor could replace the literal sentence ""simon’s year at school was sometimes hard and sometimes easy""? simon’s year at school was a struggle. simon’s year at school was a piece of cake. simon’s year at school was a mountain. simon’s year at school was a rollercoaster.
Answer:
D
Explanation:
Some Gey
The metaphor that could replace the literal sentence is "Simon’s year at school was a rollercoaster". Therefore, option D is correct.
What is a metaphor?A metaphor is a figure of speech in which a word or phrase is applied to an object or action to which it is not literally applicable. It is a comparison between two things that are not alike but share some common characteristic or quality.
A metaphor creates a mental image in the mind of the reader or listener by describing one thing in terms of another. For example, "life is a journey" is a common metaphor that describes the experience of living as if it were a journey through time and space, with its ups and downs, twists and turns, and unexpected detours.
Other examples of metaphors include "the world is a stage," "time is money," and "love is a rose." Metaphors are a powerful tool for writers and speakers, as they can convey complex ideas and emotions in a concise and memorable way. Hence, option D is correct.
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Which element of an argument acknowledges that the opposing position has some merit? claim appeal concession counterargument
Answer:
C.
Explanation:
The element of an argument that acknowledges that the opposing position has some merit is a concession. The correct option is c.
What is an argument?Giving an argument entails offering a group of premises as justifications for believing the conclusion. It's not always necessary to criticize or insult someone when making an argument. Arguments can also be employed to back up the beliefs of others.
An example of an argument is as follows: You should put in a lot of effort if you want to find a decent career. The four main parts of an argument are the claim, the reason, the support, and the warrant.
Claims may be subject to dispute. Information is employed, but it is arranged in accordance with the five main parts of an argument: the claim, the justification, the supporting evidence, and the counterclaim.
Therefore, the correct option is c, concession.
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A load having the maximum level of current sustained for three hours or more is referred to as a ____ load
Which texas governor worked for public support of bread bonds
The Texas governor who worked for public support of "bread bonds" was Miriam Amanda Ferguson.
Who is Miriam Amanda Ferguson?Miriam Amanda Ferguson was an American politician who was born on the 13th of June, 1875 in Bell County, Texas, United States of America and she died on the 25th of June, 1961 in Austin, Texas, United States of America.
Miriam was elected to serve as the governor of Texas on two occasions during which supported many "New Deal" initiatives such as "bread bonds" along with federal funds to provide public support and address their welfare needs.
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The location of the "dot" is _____. 60° s latitude/30° w longitude 30° e latitude/60° s longitude 30° w latitude/60° s longitude 60° s latitude/30° e longitude
Answer:
ITS D I JUST GOT IT RIGHT!!!!!!!!!!!
Explanation:
HOPE THIS HELPS!!!!!!!!!!!
Answer:
30° E latitude/60° S longitude
Explanation:
Which phrases from the passage are oxymorons? select 2 options. True love’s hand happy dagger good juliet lips are warm timeless end
The phrases from the passage which are oxymorons are;
Happy daggerTimeless endWhat is oxymoron?Oxymoron is a figure of speech which gives two words or two phrases that are contradictory in meanings to one another.
The phrases; Happy dagger and Timeless end are oxymorons because a dagger when used depict sadness or harmful, So, it can't be a happy dagger.
On the other hand, timeless end is not possible because a end is an endpoint and cannot be timeless at the same time.
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Answer:The answers are
Explanation: B, and E
Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0. 35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?
Answer:
I think x is the number of sales graphed
Explanation:
If this is wrong im terribly sorry
Angelica uses a coordinate plane to make a map of her neighborhood. The point at (4, 3) represents the location of her house, and the point at (10, 8) to represent the location of the gas station. She wants to drive to the gas station using the straight line shown below. Use what you know about right triangles to find out how far she will drive. Each unit on the graph represents 1 mile. In this answer, give the length of the straight line shown on the graph, and explain how you calculated it
Answer:
the distance between the 2 locations is 7.81 miles
Are all news and information on the internet to why or why not
Answer:
Every news article is on the internet
Explanation:
Few people use news papers now and days and every single news article is shown either on TV or maybe just an online website. So yes I think every news article is on the internet
By which process do visible light rays pass through a window glass
Find the real solution(s) of the equation (x+10)5=70. round your answer(s) to two decimal places.
Answer: x= 4
Distribute the five, subtract fifty from both sides, divide both sides by five.
The real solution(s) of the equation (x + 10) 5 = 70 is -7.6.
What is an equation?A real solution is one that contains all the necessary constituent particles in the right ratio and has undergone the necessary dissolution. A solution is therefore referred to as a genuine solution. In algebra, a real solution is just an answer to an equation that is a real number.
There are two real solutions for x if the discriminant's value is positive, which means that the graph of the solution has two distinct x-intercepts.
There is only one actual solution for x if the discriminant's value is zero, which means that the solution's graph only has one x-intercept.
The given equation is (x + 10) 5 = 70
[tex](x + 10) 5 = 70 \\x + 10 = \sqrt[5]{70} \\x + 10 = 2.34\\x + 10 = -7.6[/tex]
Therefore, the real solution(s) of the equation (x + 10) 5 = 70 is -7.6.
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Which factors directly affect the climatic conditions of any particular area?
Answer:
The climate of any particular place is influenced by a host of interacting factors. These include latitude, elevation, nearby water, ocean currents, topography, vegetation, and prevailing winds.
Explanation:
Which word best describes a scientific hypothesis?
Answer:
"educated guess" is the correct answer
How are bodies of water represented in dry zen gardens? (site 1)
Bodies of water are represented in Dry Zen Gardens by sand or gravel that are racked to depict or give an appearance of water.
What is a Dry Zen Garden?A Dry Zen Garden is a type of Japanese Garden built mainly to help with meditative practices.
It usually comprises:
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