Answer:
21,872 tickets
Step-by-step explanation:
The computation of the number of tickets to be still sold is given below:
= Total people accommodated - total number of tickets sold yet
= 50,000 people - (13,520 tickets + 14,608 tickets)
= 50,000 people - 28,128 tickets
= 21,872 tickets
How to calculate the distance between two runners?? Ex) A finish 100m in 10.93 sec, and B finish in 10.49 sec, by how many meters did B won?? (Pls help me)
Answer:
The average speed of A is
100m ÷ 10. 93s = 9.14m/s
The average speed of B is
100m ÷ 10. 49s = 9. 53m/s
The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s
The speed that B is faster than A is
0. 42m/s × 10. 49s = 4. 40m
So, B won by 4. 40m
Step-by-step explanation:
Graph a line with a slope of 1 and a y-intercept of 4.
Answer:
Step-by-step explanation:
Plot the y-intercept (0, 4). Starting at (0, 4), move your pencil point 1 space to the right, to (1, 4), and from (1, 4) up 1 space to (1, 5). Draw a straight line through (0, 4) passing through (1, 5) also.
researchers have found that taking icy showers may heighten your immune system and make you more resistant to illness. a clinical trial[3] in the netherlands found that cold showers led to a 29% reduction in people calling off sick from work. another study even connected cold showers to improved cancer survival
While there have been studies suggesting potential benefits of cold showers on the immune system and health outcomes, it is important to note that the evidence is still limited and further research is needed to establish conclusive results. The study you mentioned regarding a clinical trial in the Netherlands is not specified, so I cannot provide specific details about it. However, I can provide some general information on the topic.
1. Immune System Stimulation: Cold exposure, such as taking cold showers, has been hypothesized to stimulate the immune system. Cold showers may activate the body's natural defense mechanisms and increase the production of certain immune cells, potentially enhancing immune function. However, more research is required to fully understand the underlying mechanisms and determine the extent of the immune system's response.
2. Reduced Sick Days: Some studies have suggested that cold showers may contribute to a reduction in sick days. The Netherlands clinical trial you mentioned reported a 29% decrease in sick leave from work. Cold exposure might have effects on the body's stress response, blood circulation, and immune function, potentially influencing overall health and decreasing the likelihood of illness. Nonetheless, it is important to consider other factors that could affect sick leave, such as lifestyle, work environment, and individual susceptibility to illness.
3. Cancer Survival: There is limited scientific evidence linking cold showers to improved cancer survival. Cold exposure, specifically in the form of cryotherapy, has been used as an adjunct therapy in some cancer treatments. It is believed that extreme cold temperatures can potentially enhance the effects of traditional cancer therapies, but the research in this area is still ongoing, and more evidence is required to draw definitive conclusions.
It's worth noting that individual responses to cold exposure may vary, and cold showers might not be suitable or beneficial for everyone, particularly those with certain medical conditions or sensitivities to cold. It is always advisable to consult with healthcare professionals or experts in the field before making significant changes to your health routine or treatment plan.
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Annie is helping you graph the line y - 3 = 2(x + 1).
She tells you to follow the steps below.
Step 1: Plot the point (1, -3).
Step 2: Plot more points by moving up 2 and right 1.
Step 3: Draw a line through the points and put arrows on the ends..
Annie made a mistake.
What was her mistake? How should she fix her mistake?
Answer: Annie made a mistake in step 1 by plotting the point (1, -3) instead of (1, 0) which is the x-intercept of the given equation.
Step-by-step explanation:
She should have used the x-intercept of the equation instead of just any point.
To fix her mistake, Annie should find the x-intercept of the equation by setting y to 0, and solve for x. Then she can plot the point (1,0) and proceed with step 2 and 3.
In a random sample of 300 elderly men, 65% were married, while in a similar sample of 400 elderly women, 48% were married. Determine a 99% confidence interval estimate for the DIFFERENCE between the percentages of elderly men and women who were married.
The 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).
To determine a 99% confidence interval estimate for the difference between the percentages of elderly men and women who were married, we can use the formula for the confidence interval of two proportions:
CI = (p1 - p2) ± Z * √[(p1 * (1-p1) / n1) + (p2 * (1-p2) / n2)]
Where p1 and p2 are the proportions of married elderly men and women, n1 and n2 are the sample sizes, and Z is the Z-score for a 99% confidence level (which is 2.576).
First, convert the percentages to proportions:
p1 = 0.65 (65% married elderly men)
p2 = 0.48 (48% married elderly women)
n1 = 300 (sample size of elderly men)
n2 = 400 (sample size of elderly women)
Now, plug the values into the formula:
CI = (0.65 - 0.48) ± 2.576 * √[((0.65 * 0.35) / 300) + ((0.48 * 0.52) / 400)]
CI = 0.17 ± 2.576 * √[(0.2275 / 300) + (0.2496 / 400)]
CI = 0.17 ± 2.576 * √(0.00075833 + 0.000624)
CI = 0.17 ± 2.576 * √(0.00138233)
CI = 0.17 ± 2.576 * 0.0372
CI = 0.17 ± 0.0959
Thus, the 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).
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what is 3.39 as a fraction
Answer:
339/100
Step-by-step explanation:
the answer is 339/100
19 dollars for 5 books
Answer:
$3.80 per book
Step-by-step explanation:
I divided 19 by 5 to get the price per book
India bought a bag of grapes that weighed 3 pounds, 5 ouncesShe already had a bag at home that weighed pound, 12 ounces. How many pounds/ ounces of grapes does she have altogether?
Answer:
4Pounds 1ounce
Step-by-step explanation:
First bag is 3pound 5ounces
Second bag 12ounces
Add both
3 Pounds and 17ounces
16ounces make 1Pound so 17ounces becomes 1Pound and 1ounces
Add to the 3Pounds
You have 3 Pounds + 1 Pound 1ounce
What is the square root of 8 and 24?
Answer:
√8 = 2.828427125
√24 = 4.89897948557
i need work shown for the assignment
Answer:
q,p,r i think
Step-by-step explanation:
Answer:
Q, P, R
Step-by-step explanation:
∠Q is the smalest because is across the smallest side
∠P is second largest because is across the middle side
∠R is the largest angle because is across the biggest side
solve for x x^2 -4x +3 =0
answer
1 or 3
explaination
\( {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3\)
the point at which the perpendicular bisectors intersect in a triangle___
The point at which the perpendicular bisectors intersect in a triangle is called the circumcenter. The circumcenter is the center of the circumcircle, which is a circle that passes through all three vertices of the triangle.
It is the center of the circle that is tangent to each side of the triangle. The circumcenter is equidistant from each vertex of the triangle and can be calculated by finding the intersection of the perpendicular bisectors of the triangle. The perpendicular bisectors of a triangle are lines that pass through the midpoints of the sides of the triangle and are perpendicular to the sides.
The circumcenter is important in triangle geometry because it helps to define the triangle and its properties. Knowing the circumcenter of a triangle can be useful in finding the triangle's area, medians, altitudes, and angle bisectors.
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Where accurate measurement is necessary?
While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.
Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.
How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.
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Table 3.1 Quantity Demanded Price per Unit Quantity Supplied 10 $5 50 20 $4 40 30 $3 30 40 $2 20 50 $1 10 Refer to Table 3.1. If the government imposes a price of $2, O a surplus equal to 20 units wil
Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.
To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.
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the complete question is:
Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
write equivalent fractions for 3/5 and 1/4 using 20 as the common denominator
Answer:
12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20
Hope this helped you!!
Equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.
Define equivalent fractions.A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.
\(\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}\)
\(=\frac{12}{20}\)
\(\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}\)
\(=\frac{5}{20}\)
So, equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.
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2. The product of 0.4 and a number is 8.
(a) Represent the statement as an equation. Use n for the variable.
(b) Determine the solution set using the replacement set .
Answer:n = 20
Step-by-step explanatio
0.4 * n = 8
n = 8 / 0.4
n = 20
The equation represents 0.4n = 8 and the solution will be n = 20.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given,
Product of 0.4 and n is 8.
0.4n = 8
n = 8/0.4
n = 80/4 = 20
Hence "The answer will be n = 20 because the equation says that 0.4n = 8".
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The Furniture store bought a table for $200.00, and sold it for $350.00. What was the percent increase of the price of the table?
Answer:
the increased price was $150.00
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Step-by-step explanation:
What is 1-5/8-2 into a fraction I know how to set it up but I need help?
Answer:
2/3
Step-by-step explanation:
1-5 is 4 and 8-2 is 6 so ots 4/6 which can be simplified to 2/3
Answer:
38/10
Step-by-step explanation:
1/5-8/2=38/10
8/2-1/5=38/10
Suppose the star has a radius of about 7x10^8 cm. How much power would the interior of the star generate? How much power would the stars surface shine into space? Which quantity is greater?
The power generated by the Interior of the star is much greater than the power that is radiated into space.
The power generated by the interior of the star is determined by the rate of energy production in its core, which is primarily from nuclear fusion. This energy is transported to the surface of the star via radiation and convection, where it is then emitted into space.
To estimate the power generated by the interior of the star, we can use the equation for luminosity:
L = 4πR^2σT^4
where L is the luminosity (power emitted), R is the radius of the star, σ is the Stefan-Boltzmann constant, and T is the temperature of the star's surface. Assuming a surface temperature of about 5,500°C for our sun, we can estimate the luminosity to be:L = 4π(7x10^8)^2(5.67x10^-8)(5500+273.15)^4
L ≈ 3.84x10^33 watts
This is the total power generated by the star's interior, which is mainly in the form of gamma rays and neutrinos.
The power that is actually emitted into space from the surface of the star is related to its luminosity by the equation:P = L/(4πR^2)
Substituting the values for L and R, we get:P = 3.84x10^33/(4π(7x10^8)^2)
P ≈ 6.33x10^26 watts
This is the power that the star is radiating into space and is the amount that we observe from Earth as the star's brightness.
Comparing the two values, we can see that the power generated by the interior of the star is much greater than the power that is radiated into space. In fact, the power generated by the interior is about 6 orders of magnitude greater than the power radiated into space. This is because the star's outer layers absorb and re-emit much of the energy produced in its core, resulting in a lower energy flux at the surface
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Peyton works on bikes. She charges $45 for one bike plus $5 per hour. Demir works on bikes as well. He charges $20 for one bike and $10 per hour. After how many hours are the costs the same?
After 5 hours of work, the costs charged by Peyton and Demir will be the same.
To determine the number of hours at which the costs are the same for Peyton and Demir, we can set up an equation.
Let's denote the number of hours worked as "h".
The cost charged by Peyton is given by:
Cost(Peyton) = $45 + $5/h * h
The cost charged by Demir is given by:
Cost(Demir) = $20 + $10/h * h
To find the number of hours at which the costs are equal, we need to equate the two expressions:
$45 + $5/h * h = $20 + $10/h * h
Simplifying the equation:
$45 + $5h = $20 + $10h
Subtracting $5h from both sides and adding $20 to both sides:
$25 = $5h
Dividing both sides by $5:
5h = 25
h = 25/5
h = 5
Therefore, after 5 hours of work, the costs charged by Peyton and Demir will be the same.
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Select the correct answer.
Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 10 bacteria in the dish. The bacteria divide every two hours such that
the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?
OA 1024
OB. 103.6
OC. 203
OD. 103.12
Answer:
I guess no.B is the answer....
Hope it helps:)
Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain:
f(x) =\(\frac{x - 7}{x + 4}\)
The inverse function of f(x) = \(\frac{x-7}{x+4}\) is f⁻¹(x) = \(\frac{4x+7}{1-x}\).
What is the inverse function?A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.
Given that the function is f(x) = \(\frac{x-7}{x+4}\)
Change f(x) (or whatever the function name is) to "y". In this case you'd get:
y = \(\frac{x-7}{x+4}\)
Now, switch x and y. Wherever you see y, put x. And wherever you see x, put y.
x = \(\frac{y-7}{y+4}\)
Solve the new equation for y.
x (y + 4) = y - 7
xy + 4x = y - 7
4x + 7 = y - xy
4x + 7 = y (1 - x)
y = \(\frac{4x+7}{1-x}\)
Change y back to function notation. The correct notation for the "inverse of f(x)" is "f⁻¹(x)". So that would give you:
f⁻¹(x) = \(\frac{4x+7}{1-x}\)
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The cafeteria serves pizza every 10 days and corn every 4 days. If they are serving pizza and corn today, in how many days will they serve them together again?
Answer:
Well it would be 100 days
Step-by-step explanation:
Because they had pizza every ten days and if you add 5 days a week that's 50 days they sell pizza. If your talking corn they sell it every 4 days times 5 days a week that's 20 days of corn. Then you do 50 x 20 and then you get 100 days of pizza and corn, so it would be 100 days before they sell pizza and corn together again!
Please help and show work, will give lots of points!
Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)
What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish
Answer:
The linear equation is y = 450 - 30 x, where y is the number of pages
Lourdes has left to read after x days
Step-by-step explanation:
Each day, Lourdes reads 30 pages of a 450-page book
- We need to write a linear equation to represent the number of pages
Lourdes has left to read after x days
∵ Lourdes reads 30 pages each day
∵ Lourdes will read for x days
∴ The number of pages Lourdes will read in x day = 30 x
- The left pages will be the difference between the total pages of the
book and the pages Lourdes read
∵ The book has 450 pages
∵ Loured will read 30 x in x days
∴ The number of pages left = 450 - 30 x
- Assume that y represents the number of pages Lourdes has left
to read after x days
∴ y = 450 - 30 x
The linear equation is y = 450 - 30 x, where y is the number of
pages Lourdes has left to read after x days
How do I solve this??? 15 points!
Answer:
\(\displaystyle y=\frac{7}{2}x-3\)
Step-by-step explanation:
We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:
\(\displaystyle y=\frac{7}{2}x-5\)
Since our new line is parallel to our equation, this means that the two lines have the same slope.
Therefore, the slope of our new line is also 7/2, the slope of the original.
Now, we can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 7/2 for m.
Let's let our point (2, 4) be (x₁, y₁). Hence:
\(\displaystyle y-4=\frac{7}{2}(x-2)\)
Solve for y. Distribute:
\(\displaystyle y-4=\frac{7}{2}x-7\)
Add 4 to both sides.Therefore, our equation is:
\(\displaystyle y=\frac{7}{2}x-3\)
point Q(-2, -5). A. Identify a point (X1, Y1,) that along with point Q defines a line with a positive slope. B. Identify a point (X2, Y2) that along with point Q defines a line with a negative slope.
A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative thus point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5).
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative.
As shown below,
The purple line makes an acute angle (less than 90 °) thus slope will be positive and the blue line makes an obtuse angle (greater than 90°) thus the slope is negative.
Hence "point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5)".
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Point S is somewhere on line segment RT. Find the length of RS.
Enter the answer and also provide a 1 sentence explanation that
see how you will be evaluated.
?
2
R.
• T
S
K K
13
Answer:
11
Step-by-step explanation:
Just subtract ST from RT to get RS
13-2=11
Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?
What is the exact value of tangent (startfraction pi over 12 endfraction)
The exact value of tangent (π/12) is (4 + 2√3). The exact value of tangent (π/12) can be found using trigonometric identities and angle addition formula.
We start by writing π/12 as the sum of π/6 and π/12:
π/12 = π/6 + π/12
Next, we use the tangent addition formula, which states that:
tan(x + y) = (tan(x) + tan(y)) / (1 - tan(x)tan(y))
Applying this formula with x = π/6 and y = π/12, we get:
tan(π/6 + π/12) = (tan(π/6) + tan(π/12)) / (1 - tan(π/6)tan(π/12))
The tangent of π/6 is √3/3 (which can be derived from the 30-60-90 triangle) and the tangent of π/12 can be found by using the half-angle identity for tangent, which states that:
tan(x/2) = (1 - cos(x)) / sin(x)
Using this identity with x = π/6, we get:
tan(π/12) = (1 - cos(π/6)) / sin(π/6)
The cosine of π/6 is √3/2 and the sine of π/6 is 1/2, so we have:
tan(π/12) = (1 - √3/2) / (1/2)
Simplifying, we get:
tan(π/12) = 2 - √3
Now, we can substitute the values we found into the tangent addition formula:
tan(π/6 + π/12) = (√3/3 + (2 - √3)) / (1 - (√3/3)(2 - √3))
Simplifying the numerator and denominator, we get:
tan(π/6 + π/12) = (2√3 + 3 - √3) / (3 - √3)
= (√3 + 3) / (3 - √3) * (√3 + 3) / (√3 + 3)
= (4 + 2√3)
Therefore, the exact value of tangent (π/12) is (4 + 2√3).
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