Solve for x assume that lines appear tangent are tangent
Answer:
Step-by-step explanation:
? = 1/2(230)
A 115°
An airplane leaves Edmonton International Airport and Flies south to Phoenix Arizona. The flight is 6h in duration and distance is 2800Km
A.) Write an equation that represents this flight.
PLEASE HELP FAST 20 POINTS!
Find the slope and y-intercept of the line below
The slope of the line is 1/2 and the y intercept of the line is 2
The first point = (0, 2)
The second point = (4, 4)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the function
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
\((x_1,y_1)\) is the coordinates of the first point
\((x_2,y_2)\) is the coordinates of the second point
The slope of the line m = (4 - 2) / (4 - 0)
= 2 / 4
= 1/2
Here at x = 0, the value of y = 2, then the y intercept of the line is 2
Hence, the slope of the line is 1/2 and the y intercept of the line is 2
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On a certain route, an airline carries 5000 passengers per month, each paying $40. A market survey indicates that for each $1 increase in the ticket price, the airline will lose 100 passengers. Find the ticket price that will maximize the airline's monthly revenue for the route. What is the maximum monthly revenue?
Students from grades 11 and 12 in Jason's school were asked to vote for the prom king and queen. Jason surveyed every 12th student from a list of 1,200 students. The table shows the results of his survey.
Votes
Prom King
David 22
Steve 24
Tyler 28
Derek 26
Prom Queen
Katie 27
Hillary 23
Haylie 24
Avril 26
Answer:
Tyler: 336
Katie: 324
Step-by-step explanation:
I did the test and the answer is found by multiplying their votes by 12.
28 times 12 equals 336.
Now take Katies votes, 27, and multiply by 12.
The reason I know the question is because I took the test. :)
The scale of a map is 1:250000. The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetres.
PLEASE HELPP LATE NIGHT HWEHWHWHWHHW
what is the question tho?
In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 3 barrels per minute. A worker just switched on a newer line that can fill 4 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Answer:
40 barrels
Step-by-step explanation:
Given that:
Let x = number of minutes
Old conveyor line :
Filling rate = 3 barrels per minute
Already filled = 10 barrels
Equation :
10 + 3x - - - (1)
NEW conveyor line:
Filling rate = 4 barrels per minute
Equation :
4x - - - (2)
Equate equation (1) and (2)
10 + 3x = 4x
10 = 4x - 3x
10 = x
Hence, in 10 minutes, each line will have filmed same number of barrels which is
4x = 4*10 = 40 barrels
10 + 3x = 10 + 3(10) = 40 barrels
Answer:
40 barrels
Step-by-step explanation:
4x = 4*10 = 40 barrels
10 + 3x = 10 + 3(10) = 40 barrels
PLSS HELP MEEE IVE BEEN TRYING ALL DAY TO GET THIS ANSWER AND NOTHING PLEASE SOMEONE HELP ME NO LINKSS!! Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark for the fraction bar
(-8,-7) (-7,-8)
Answer:
midpoint is (-15/2, -15/2)
Step-by-step explanation:
Finding the coordinates of the midpoint is easy. All you have to do is find the average of the x-coordinates and the average of the y-coordinates of the endpoints of the segment.
So, in your case
(-8 - 7)/2 = -15/2 is the x-coordinate
(-7 - 8)/2 = -15/2 is the y-coordinate
Therefore, the midpoint is (-15/2, -15/2)
Answer:
(-7.5, -7.5)
Step-by-step explanation:
Remember that the formula is (x1+x2/2, y1+y2/2)
So, we know that -8 is x1 and -7 is y1. We also know that -7 is x2 and -8 is y2.
Lets plug this into our formula and see what we get.
(-8+-7/2, -7+-8/2)
Now lets find the x in the midpoint.
-8+-7/2 is equal to -15/2. This makes x equal to -7.5.
Now lets find the y in the midpoint.
-7+-8/2 is equal to -15/2 as well. This makes y equal to -7.5.
Now we can tell that the coordinates for midpoint will be:
(-7.5, -7.5)
MISCONCEPTIONS:
Always remember that midpoint is nothing like slope. The mid point is something you can point on a graph, wheareas slope is a function that can be lined on a graph.
The formulas for the two things are different as well. Slope is y/x, where you subtract the ys and xs from each other. In a way, midpoint is the exact opposite, which is adding the xs and ys together.
I hope this helps ;)
Good luck!
evaluate each expression based on the following table. x−3−2−10123 f(x)2363−2−0.51.25
We have the following table:
x -3 -2 -1 0 1 2 3
f(x) 2 3 6 3 -2 -0.5 1.25
f(2) - f(0) = 6 - 3 = 3
f(-3) + f(1) - f(0) = 2 + (-2) - 3 = -3
(f(3) + f(2)) / 2 = (1.25 + (-0.5)) / 2 = 0.375
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If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a a. 4.0 percent decrease in the quantity of labor supplied. b. 9.0 percent increase in the quantity of labor supplied. c. 9.0 percent decrease in the quantity of labor supplied. 4. 4.0 percent increase in the quantity of labor supplied.
The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.
In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):
Elasticity of labor = percentage change in quantity / percentage change in wage rate
0.60 = percentage change in quantity / 15 percent
Percentage change in quantity = 0.60 x 15 percent = 9.0 percent
Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.
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Cuanto es 4n - 2 =-18
what is 4300x300 if you dont know it just try
Answer:
1,290,000
Step-by-step explanation:
hecker skills
Find θ to four significant digits for 0 < θ< 2 pi if cos θ= 0.6725
First, we need to solve for θ:
\(\cos\theta=0.6725\)\(\theta=\cos^{-1}(0.6725)\)\(\theta=0.8332147\)But, since the cosine is a function that takes the same values every 3π/2, if we add this to the solution:
\(\theta_2=0.8332147+\frac{3\pi}{2}\approx5.5456\)Thus, the two solutions are:
\(\theta=0.8332,5.5456\)4
A flagpole is 12 feet tall. If the flagpole casts a 50-foot shadow, then what is the angle of elevation to the sun?
А
76.5
B
51.4
4.2
D
13.5
Answer:
\(\theta=13.5^{\circ}\)
Step-by-step explanation:
Given that,
The height of a flagpole, h = 12 feet
the height of the shadow, b = 50 feet
We need to find the angle of elevation of the sun. Let it is be θ. Using trigonometry to find it.
\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{12}{50}\\\\\theta=13.49^{\circ}\\\\or\\\theta=13.5^{\circ}\)
So, the angle of elevation to the sun is equal to \(13.5^{\circ}\).
Lenny worked 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90.
What was his hourly rate?
$8.20
$8.95
$28.13
$65.63
Answer:
8.95
Step-by-step explanation: Add the hours and divide the money by the amount of hours
The hourly rate is $8.95.
Option B is the correct answer.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Total hours worked.
= 7 + 6 + 9
= 22
Now,
Gross pay = $196.90
This means,
22 hours = 196.90
Divide both sides by 22.
1 hour = 196.90/22
1 hour = $8.95
Thus,
The hourly rate is $8.95.
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Select all of the following diseases that can be caused by tobacco. asthma asthma esophageal cancer esophageal cancer mouth cancer mouth cancer liver cancer liver cancer emphysema
Tobacco use is linked to several diseases, including asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema.
Tobacco use is a major public health concern due to its association with various diseases. By exploring the diseases linked to tobacco use, we can raise awareness about the harmful effects of tobacco and promote healthier choices.
Asthma: Tobacco smoke contains numerous harmful chemicals that can trigger or worsen asthma symptoms.
Esophageal Cancer: Tobacco use, especially smoking and smokeless tobacco, significantly increases the risk of developing esophageal cancer.
Mouth Cancer: Smoking and smokeless tobacco use are major risk factors for oral cancers, including cancers of the mouth, tongue, lips, and throat.
Liver Cancer: Although primarily associated with alcohol consumption, tobacco use also contributes to the development of liver cancer.
Emphysema: Emphysema is a progressive lung disease characterized by the destruction of lung tissue and impaired breathing.
The association between tobacco use and diseases such as asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema highlights the urgent need for individuals to quit or avoid tobacco use.
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Select the correct answer. Who are angel investors? A. Individual investors or institutions who give credit to small and medium enterprises B. Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business C. Banks that lend money in exchange for collaterals D. Credit unions with stricter guidelines compared to others
Answer: B. . Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business
Step-by-step explanation:
Angel investors are wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business.
It should be noted that when new businesses are been established or wants to start up, they usually have little capital and often times, need someone to help them with funds.
Am angel investor invests in such companies in exchange for ownership equity and also gives them the.nweded support.
sugar is packed in 10 ounce bags. If 36 measure sample with a mean
of 9.95 ounces in a standard deviation of 0.4 ounces what is the
99% confidence interval estimate of the population mean?
The 99% confidence interval estimate of the population mean for sugar packed in 10 ounce bags is approximately 9.88 to 10.02 ounces.
To calculate the confidence interval, we use the formula:
Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size)
Given that the sample mean is 9.95 ounces, the standard deviation is 0.4 ounces, and the sample size is 36, we need to determine the critical value for a 99% confidence level.
Using a t-distribution table or statistical software, we find that the critical value for a 99% confidence level with 35 degrees of freedom is approximately 2.72.
Plugging in the values into the formula, we have:
Confidence Interval = 9.95 ± (2.72 * 0.4 / √36)
Confidence Interval = 9.95 ± (2.72 * 0.0667)
Confidence Interval ≈ 9.95 ± 0.1814
Therefore, the 99% confidence interval estimate of the population mean for sugar packed in 10 ounce bags is approximately 9.88 to 10.02 ounces. This means that we can be 99% confident that the true population mean lies within this range based on the given sample.
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PLS HELP!!!
1. Write an inequality to represent the situation below.
2. Define your variable in words
3. Solve the inequality.
4. Describe what the solution means in the context of the problem.
Desiree was planning on going to the local amusement park with friends. She had saved $35 to go. She planned to spend $15 on food and the rest on tickets for rides. Each ticket to ride costs $1.75.
Answer: Answer in detail below
Step-by-step explanation:
1. Write an inequality to represent the situation below:
Let "x" be the number of tickets Desiree can buy.
The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:
Total amount - Amount spent on food = Amount spent on tickets
Therefore, the inequality to represent this situation is:
1.75x ≤ 35 - 15
2. Define your variable in words:
"x" represents the number of tickets Desiree can buy.
3. Solve the inequality:
1.75x ≤ 20
x ≤ 20 ÷ 1.75
x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)
4. Describe what the solution means in the context of the problem:
The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
(x+3)^3 positive shift 1st then cube it
There are two pieces of wires, each of length 66 cm. One wire is bent into a square and the other wire is bent into a circle. Find (a) the area of the square, (b) the area of the circle.
Answer:
Area of Circle = 346.5 cm².
Area of square = 272.25 cm ² .
Step-by-step explanation:
So , 2πR = 66
2 × 22 / 7 × R = 66
R comes out is 21/2 cm .
Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2
= 693 / 2 = 346.5 cm².
If bent into the shape of a square ;
4 a = 66
a = 33/2 . ( Side of a square )
Area of square = a ² = 33×33/4 = 1089/4
= 272.25 cm ² .
an airline estimates that96% of people booked on their flights actually show up. if the airlinebooks78people on a flight for which the maximum number is76, what is the probability that thenumber of people who show up will exceed the capacity of the plane?
The probability that the number of people who show up will exceed the capacity of the plane is 60.1%.
Let X be the number of people who show up for the flight. We want to find the probability that X exceeds the capacity of the plane, which is 76.
Since the airline estimates that 96% of people booked on their flights actually show up, we can model X as a binomial random variable with n = 78 and p = 0.96. The probability mass function for X is:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
To find the probability that X exceeds 76, we need to calculate the following sum:
P(X > 76) = P(X = 77) + P(X = 78)
Using the binomial distribution, we can calculate these probabilities as follows:
P(X = 77) = (78 choose 77) * 0.96^77 * 0.04^1 = 0.381
P(X = 78) = (78 choose 78) * 0.96^78 * 0.04^0 = 0.220
Therefore, the probability that the number of people who show up will exceed the capacity of the plane is:
P(X > 76) = P(X = 77) + P(X = 78) = 0.381 + 0.220 = 0.601
Thus, there is a 60.1% chance that the number of people who show up for the flight will exceed the capacity of the plane.
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Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y = 6x + 83
Step-by-step explanation:
Lets take two coordinates (0, 83) and (1, 87)
First we need to find the slope of the line, using the formula \(\frac{y2-y1}{x2-x1}\)
\(\frac{87-81}{1-0}\)
Solve
\(\frac{6}{1} = 6\)
Now that we have our slope, based on the table of values we know our y intercept is 83. So all we do is write a linear equation that represents the table of the values given the slope:
\(y=6x+83\)
hii I need a help ....
thank you
Answer:
a) 4 : 1 : 10
b) 25 : 9 : 13
c) 18 : 11 : 3
d) 2000 : 20 : 1
Step-by-step explanation:
We are to put the values in the form a : b : c
a) 40 ml, 1/100 l, 0.1 l
Put them all in ml (1 l = 1000 ml)
40ml, 10 ml, 100 ml
Therefore:
40 : 10 : 100
In lowest terms, 4 : 1 : 10
b) 2 1/2 kg, 900 g, 1.3 kg
Put them all in grams, (1 kg = 1000 g):
2500 g, 900 g, 1300 g
Therefore:
2500 : 900 : 1300
In lowest terms, 25 : 9 : 13
c) 1.5 hrs, 55 minutes, 1/4 hrs
Put them all in minutes (1 hour = 60 minutes)
90 minutes, 55 minutes, 15 minutes
Therefore:
90 : 55 : 15
In lowest terms, 18 : 11 : 3
d) 60 cm, 6 mm, 0.03 cm
Put them all in mm (1 cm = 10 mm)
600 mm, 6 mm, 0.3 mm
Therefore:
600 : 6 : 0.3
In lowest terms, 2000 : 20 : 1 (Divide by 0.3 because a ratio cannot be decimal)
y=2x +2 y=x-1 How many solutions does the system of equations below have?
Answer:
infinitive
Step-by-step explanation:
y1=k1x+b1
y2=k2x+b2
if k1/k2=b1/b2
it has infinitive number of solutions
find x 4 over 3 = 8 over x
Answer:
x = 6
Step-by-step explanation:
Given
\(\frac{4}{3}\) = \(\frac{8}{x}\) ( cross- multiply )
4x = 24 ( divide both sides by 4 )
x = 6
the weekly average cost of hiring a caravan in wales is £250
in July the average cost increases to £800
calculate the percentage increase
give your answer in 2 signifcant figures
9514 1404 393
Answer:
220%
Step-by-step explanation:
The percentage change is computed by ...
% change = ((new value)/(old value) -1) × 100%
= (800/250 -1) × 100% = (3.2 -1) × 100%
= 220%
The increase was 220%.
22. Jack bought a tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year. After 4 years, the tree is 5 feet tall. Write an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years.
Answer:
y=9x+60
Step-by-step explanation:
An equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.
Given that, the tree grows at an approximate rate of 9 inches per year.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
We know that, 1 feet =12 inches
So, 5 feet =60 inches
Let the height of the tree be y and the number of years be x.
Now, equations is y=9x+60
Therefore, an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.
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the number of traffic accidents per week in a small city has a poisson distribution with mean 3. what is the probability of exactly 2 accidents over the course of 2 weeks?
The probability that there will be exactly 2 accidents during the next
two weeks is 0.9828.
A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is expected to happen over a certain period of time. It is a count distribution, to put it another way. In order to comprehend separate events that happen at a steady pace throughout the course of a certain period of time, Poisson distributions are frequently utilized.
Using the Poisson distribution:
2 weeks ⇒ λ = 6.
P( X ≥ 2 ) = 1 – [ P( X = 0 ) + P( X = 1 ) ] = \(1-[\frac{6^{0}*e^{-6} }{0!} + \frac{6^{1}*e^{-6} }{1!}]\)
= 1-[0.0024+0.0148] = 0.9828
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