Given
Two sets A = (-∞, - 5], B = [5, ∞)
Find
union, AUB
Explanation
Union of two sets A and B is the set of all elements that are present in A or in B
so , here A = (-∞, - 5], B = [5, ∞)
then union of set A and B is given by
\(A\cup B=(-\infty,-5]\cup[5,\infty)\)Final Answer
Therefore., the union of A and B is (-∞, - 5] U [5, ∞)
I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!
Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83
Step-by-step explanation: I hope this helped
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)
Tri-County will have to charge approximately $83.1 per MWh to break even.
To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.
The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.
To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.
Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.
Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh
Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.
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Please help.
Find the volume of the rectangular prism. Pls no links!
Answer:
120 in ³
Step-by-step explanation:
Volume is
Length x width x height
4x10x3=120
Subway sells sandwiches for $6.95 each, including tax. The show
received $83.40 from the sale of sandwiches one day. Write an equation
that can be used to find the number of sandwiches sold.
Find the area of a circle with a circumference of 5.5 pi=3.14
Answer:
2.43 (units)
Step-by-step explanation:
Circumference of a circle is defined by C=2pi*r
Solving that equation for r --> 5.5 = 2* 3.14 * r
r=0.88 unit
Area of a circle = A= pi * r^2
Solve this equation by plugging in the r we just found. A = 3.14 * (0.88^2)
Answer: 2.43 units
can someone please help me answer this !!
Answer:
Step-by-step explanation:
Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)
Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:
t = 0.1: y ≈ 1.1
t = 0.2: y ≈ 1.22
t = 0.3: y ≈ 1.34
t = 0.4: y ≈ 1.47
t = 0.5: y ≈ 1.61
To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:
Yn = Yn-1 + h * F(Xn-1, Yn-1)
Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.
For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.
Using the initial condition y(0) = 1, we can proceed with the calculations:
t = 0.1:
Y1 = Y0 + h * F(X0, Y0)
= 1 + 0.1 * [(2 - e^1) / 2]
≈ 1 + 0.1 * (2 - 0.368) / 2
≈ 1 + 0.1 * 1.316 / 2
≈ 1 + 0.1316
≈ 1.1
Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.
Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.
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HELP ME I NEED THIS DONE NOW
Answer:a
Step-by-step explanation:slope=4 y-int=-9
Answer:
A: Slope is 4
Y intercept (0,-9)
Step-by-step explanation:
slope intercept form is y=Mx+b
m= slope
b= y intercept
y=4x-9
here the m or slope is 4
And b or y intercept is -9
So a is the correct answer
Hopes this helps please mark brainliest
Select the graph of the function f (x) = 1/4 Then find the value of f (x) when x = -6.
ASSPPPP
WILL GIVE Y’ALL BRAINLIEST
3.8 x 10^2 +1.7 x10^3
Answer:
2080
Step-by-step explanation:
that's the answer i think Good luck :)
which answer is an example of volunteer sampling? responses asking every fifth person their age asking every fifth person their age counting everyone who attends a game counting everyone who attends a game submitting an online survey submitting an online survey asking your neighbors if they approve of the mayor
Submitting an online survey is one example of volunteer sampling.
What exactly does volunteer sampling imply?When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.
The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.
Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community. Volunteer samples are used for a variety of different types of research because they are inexpensive.
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Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns
Answer:
D. The money that Kai started with before he mowed any lawns.
Step-by-step explanation:
We Know
The equation is y = mx + b
The x represents the number of lawns that Kai mows.
What does the y-intercept represent in this equation?
The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.
Answer:
The Answer is D
Step-by-step explanation:
3. Choose the two correct transformations for:
Ay
T
R'
RSTU to R'S'T'U'.
S'
A Rotation 180°clockwise
B Reflection across y = x
OC Reflection across y = -x
OD Rotation 180°counterclockwise
Can someone help me with 1 and 2 I’m confused!!!!!! Plz help me !!!!!
Absolute value is always stated as a negative number,
True or false
Answer:
false
Step-by-step explanation:
hope it will be helpful
Consider the conversion facts 1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch. PLEASE HELP
a. Write an expression for the exact number of inches in 1 centimeter.
b. Use a calculator to evaluate your expression in part (a). Explain why the measurement conversion may be slightly different when converting between metric units and U.S. custumary units.
The expression for the exact number of inches in 1 centimeter is 1/2.54. Using a calculator to evaluate the expression gives 0.39370074. There may be a slight difference when converting due approximation of figures
How to write an expression for the exact number of inches in 1 centimeter?Given the conversion facts:
1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch
a. The expression for the exact number of inches in 1 centimeter will be:
1 centimeter = 1/2.54 (Since 1 inch = 2.54 centimeters)
b. Using a calculator to evaluate the expression in (a) will give:
1 centimeter = 1/2.54 = 0.39370074
The measurement conversion may be slightly different when converting between metric units and U.S. custumary units because of the approximation of figures when converting from one unit to the other
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what is the name for the triangular cartilage anterior to the auditory meatus?
The name for the triangle cartilage anterior to the auditory meatus is called the tragus.
The tragus is a small triangular cartilage that is located anterior to the auditory meatus. It is a small flap of cartilage that projects out from the side of the face and helps to protect the external auditory canal. It is located right above the lobe of the ear, and is covered with a thin layer of skin. It is known to be relatively sensitive, due to its numerous nerve endings. The tragus has a variety of functions, such as helping with hearing, as it helps to focus sound waves into the ear canal. It also helps to block out external noise, which is beneficial for those who are exposed to loud noises on a regular basis. It also helps to keep the ear canal clean, as it acts as a barrier against dirt, water, and other foreign objects. Additionally, it has an aesthetic function, as it is a defining feature of the human ear. Thus, the tragus can be seen as an important part of the structure and function of the human ear.
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A 21-pound turkey was cooked for a small banquet. The caterer figures he will discard (throw away) 5 pounds of bones and that each person will eat 0.8 pounds of the remaining turkey. (a) How many people will the turkey serve? (This is a multiple step word problem.) (b) Explain, USING WORDS, how you got your answer.
Answer:
45. You need to multiply the exponents by one to one. Then you got your answer.
Step-by-step explanation:
I got it correct
A puppy weighs534pounds.
how many ounces does the puppy weigh?
a.23 oz
b.46 oz
c.92 oz
ds.184 oz
Answer:
none of those answers are correct unless u mean 5 and 3/4
Step-by-step explanation:
Write : linear equation to represent the line shown on the graph.
The equation of the line that passes through the points (0,-2) and (3,2) is 4x-3y-6 = 0.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
In the given graph,
The points are (0,-2) and (3,2)
To find the equation of the line,
Find slope by using formula m = (y₂-y₁)/(x₂-x₁)
m = (2-(-2))/(3-0)
m = 4/3
The equation of line is,
y-y₁ = m (x-x₁)
y-(-2) = 4/3(x-0)
y+2 = 4/3x
3y+6 = 4x
4x-3y-6 = 0
The required equation of line is 4x-3y-6 = 0.
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in october 2012, apple introduced a much smaller version of the apple ipad, known as the ipad mini. weighing less than 11 ounces, it was 50% lighter than the standard ipad. battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal.
a) The Probability density function of given uniform distribution example is
F(x) = 1/3.5 for 8.5 < x< 12
Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where
x ---> minimum value and y---> maximum value
Probability density function is a probability function which defines the density of continuous random variable lying between specified range
values. It is denoted by f( a<X<b)
Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.
We have following informations,
weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.
Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.
this implies a = 8.5 , b = 12
F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12
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#Complete Qestion :
In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.
a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?
WILL GIVE BRAINLIEST ! 17 POINTS
This scatter plot shows the number of pizzas sold during weeks when different numbers of coupons were issued.
This equation represents the linear model for this data.
Y = 3.4x + 43
According to this model, how many pizzas will be sold nightly if 25 coupons are issued
Enter only the number of pizzas in the box.
Answer:
128 pizzas
Step-by-step explanation:
Y = 3.4x + 43
Substitute 25 for x
y = 3.4(25) + 43
y = 128
So the model predicts that 128 pizzas will be sold if 25 coupons are issued.
express the following limit as a definite integral: lim n→[infinity] n∑i=1 i6/n7=∫b1 f(x)dx
The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx
To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.
Let's start by rewriting the given limit:
lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)
Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.
Therefore, we can rewrite the above limit as:
lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n
This can be further rearranged as:
lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶
Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:
lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx
To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.
Hence, the given limit can be expressed as the definite integral:
lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx
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I really need to get this done quick.
The surfboard is 14 inches taller than the person.
Write and solve an equation to determine how tall is the person?
You may need to use the appropriate appendix table or technology to answer this question The life expectancy of a particular brand of tire is normally distributed with a mean of 50,000 miles and a standard deviation of 5,000 miles. What percentage of tires will have a life of 45,000 to 55,000 miles 15.87% 31.73% 68,27% 84.13%
The percentage of tires that will have a life of 45,000 to 55,000 miles is 68.27%. So the correct option is 68.27%.
To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.
First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation
For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1
For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1
Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.
The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.
Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.
Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826
Converting this to a percentage, we get:
0.6826 * 100 = 68.26%
So the correct answer is 68.27%.
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6.
True or False
ri
a.
A rectangle is a rhombus true
b. All squares are rectangles true
C. A rhombus is a parallelogram hrve
d. Opposite angles in all quadrilateral are congruent true
e. The Same-Side interior angles in a quadrilateral must equal 180
degrees
f. The diagonals of a rectangle are congruent
g.
A
square and a rhombus have diagonals that are perpendicular
h. If the opposite sides of a quadrilateral are congruent then it must be a
parallelogram
i. If one pair of opposite side of a quadrilateral are parallel and the other
opposite sides are congruent then it must be a parallelogram
Edison buys a shirt and two pairs of identical jeans. The shirt cost $25.98 and the total bill is $97.94 write and equation to represent this situation
pairs of identical jeans. The shirt cost $25.98 and the total bill is $97.94 write and equation to represent this situation
Answer:
36.33
Step-by-step explanation:
97.94-25.98=72.66
72.66/2=36.33
Hope this helped!
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.
The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.
Population - all of the households in New York City in 1900.
Variable - a quantity equivalent to the number of children in a randomly selected household
Parameter - the mean number of children per household in New York City in 1900
Sample - the 200 households selected by the historian
Data - the 200 records collected by the historian
Statistic - the mean number of children per household in the historian's sample.
Complete question:
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.
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PLEASEE HELP ME NOW ASAPPPP
Answer: The answer and explanation is in the image provided.