Answer:
$1,620
Step-by-step explanation:
If you are looking for a way to make some money, you might be tempted by the offer of a purchase that has a positive expectation. But before you jump into it, you should know what expectation really means and how to calculate it. Expectation is not the same as the actual outcome of a purchase. It is just an average of what you can expect to get in the long run, based on the probabilities of different outcomes. Sometimes you might get more than the expectation, sometimes less, and sometimes nothing at all. For example, suppose you have a chance to buy a lottery ticket that costs $7,200 and has a 50% chance of winning $9,000, a 10% chance of winning nothing, and a 40% chance of losing your money. How do you know if this is a good deal or not? You can use the formula for expectation to find out:
Expectation = (50% x $9,000) + (10% x $0) + (40% x -$7,200)
Expectation = (0.5 x 9,000) + (0.1 x 0) + (0.4 x -7,200)
Expectation = 4,500 + 0 - 2,880
Expectation = 1,620
The expectation of this purchase is $1,620. This means that on average, you can expect to make $1,620 from this purchase in the long run. But this does not mean that you will always make $1,620 every time you buy the ticket. Sometimes you might win $9,000 and be very happy. Sometimes you might lose $7,200 and be very sad. And sometimes you might win nothing and be very bored. The expectation is just an average of all these possible outcomes.
So what does this mean for your decision? Well, it depends on how much you value risk and reward. If you are a risk-taker who likes to gamble and doesn't mind losing money sometimes, then you might go for the purchase with a positive expectation. After all, you have a chance to make more money than you spend in the long run. But if you are a risk-averse person who prefers to play it safe and avoid losses, then you might stay away from the purchase with a positive expectation. After all, you have a chance to lose money or break even in the short term.
The choice is yours. But remember: expectation is not reality. It is just a mathematical tool to help you evaluate your options. Don't let it fool you into thinking that you know what will happen in the future. The only thing that is certain is uncertainty, and luckily this is just Mathematics!
✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧
Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
If Karen gets paid $800 more than reily and their total salary’s is 6,000 how much do they each get paid ?
Change 42 1/2 % to a fraction.
42 1/2 ( aka 85/2) as a percent is 4250%.
To convert a percentage to a fraction, we can write the percentage as a fraction with a denominator of 100 and then simplify.
42 1/2 % can be written as:
42 1/2 % = 42.5/100
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2.
42.5/100 = (42.5 ÷ 2) / (100 ÷ 2) = 21.25/50
Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25.
21.25/50 = (21.25 ÷ 25) / (50 ÷ 25) = 17/40
Therefore, 42 1/2 % is equal to 17/40 as a fraction in its simplest form.
Brainliest?
Find the distance between the following pairs of points.
(1,5),(3,8)
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 )}[/tex]
[tex]=\sqrt{(8-5)^2+(3-1)^2 )}[/tex]
[tex]=\sqrt{3^2+2^2 }[/tex]
[tex]=\sqrt{13}[/tex]
Suppose a company makes surgical screws. To pass inspection, the screws must be 68 millimeters long and can vary by no more than 0.03 millimeter.
(a)
Write the possible screw lengths (in mm) using plus/minus notation.
Accordingly, the screw can have a maximum length of [tex]68.00 mm[/tex] plus [tex]0.03 mm, or 68.03 mm[/tex], and still pass inspection. This indicates that [tex]68.00 mm[/tex] minus [tex]0.03 mm[/tex] , or [tex]67.97 mm,[/tex] is the smallest length the screw can have and still pass inspection.
What is the scientific notation?Upper Limit: [tex]68.00 mm + 0.03 mm[/tex]
This represents the upper bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is +0.03 mm.
Lower Limit: [tex]68.00 mm - 0.03 mm[/tex]
This represents the lower bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is -[tex]0.03 mm.[/tex]
Therefore, This means that the maximum length the screw can have and still pass inspection is [tex]68.00 mm + 0.03 mm[/tex], which equals [tex]68.03 mm[/tex]. This means that the minimum length the screw can have and still pass inspection is [tex]68.00[/tex] mm - 0.03 mm, which equals [tex]67.97[/tex] mm.
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Complete the 5 number summary:
{748, 846, 876, 890, 904, 959, 978, 984, 985, 996}
Minimum:
Quartile 1(Q1):
Median (Q2):
Quartile 3 (Q3):
Maximum:
Required Minimum, Quartile 1, Median Quartile 2 , Quartile 3 , Maximum are 748, ,883, 931.5, 984.5, 996 respectively.
What is 5-number summary?
The 5-number summary is a way to describe the distribution of a dataset using five key values: the minimum value, the first quartile [tex](Q_1)[/tex], the median [tex](Q_2)[/tex],the third quartile [tex](Q_3)[/tex], and the maximum value. To find these values for the given dataset {748, 846, 876, 890, 904, 959, 978, 984, 985, 996}, we can follow these steps:
Step 1: Sort the dataset in ascending order:
{748, 846, 876, 890, 904, 959, 978, 984, 985, 996}
Step 2: Find the minimum value, which is the smallest value in the dataset:
Minimum: 748
Step 3: Find [tex]Q_1[/tex], the value that separates the lowest 25% of the dataset from the rest of the data. To do this, we find the median of the lower half of the dataset:
Lower half of the dataset: {748, 846, 876, 890, 904}
Median of the lower half: (876 + 890)/2 = 883
[tex]Q_1: 883[/tex]
Step 4: Find the median
[tex](Q_2)[/tex], which is the middle value in the dataset:
Median [tex](Q_2)[/tex]: (904 + 959)/2 = 931.5
Step 5: Find [tex]Q_3[/tex], the value that separates the highest 25% of the dataset from the rest of the data. To do this, we find the median of the upper half of the dataset:
Upper half of the dataset: {959, 978, 984, 985, 996}
Median of the upper half: (984 + 985)/2 = 984.5
[tex]Q_3: 984.5[/tex]
Step 6: Find the maximum value, which is the largest value in the dataset:
Maximum: 996
Therefore, the 5-number summary of the given dataset is:
Minimum: 748
[tex]Q_1: 883[/tex]
Median [tex](Q_2): 931.5[/tex]
[tex]Q_3: 984.5[/tex]
Maximum: 996
This summary provides a quick overview of the distribution of the data, including the spread and central tendency. The minimum and maximum values provide information about the range of the data, while the quartiles divide the dataset into four equal parts and help identify any outliers or extreme values. The median provides a measure of central tendency that is less sensitive to outliers than the mean.
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A butcher at a certain store has the scales calibrated for accuracy. The scales must measure a standardized 1-pound weight at exactly 1 pound with accuracy within 0.018 pound.
(a)
Write the possible measured scale weights (in lb) using plus/minus notation.
lb ±
lb
(b)
Write the possible measured scale weights (in lb) using interval notation. (Simplify your answer completely.)
lb
(c)
All of the measured scale weights must be between which two values (in lb)?
All of the measured scale weights must be between a lower value of
lb and an upper value of
lb.
Answer:1 just like my answer dawg
Step-by-step explanation:
6
Ken is using his feet to measure a rug. He takes 6 steps, each time with the heel
of his front foot touching the toe of his back foot. The rug is exactly six steps
wide and has a green line that falls right where the third and fourth steps meet
What fraction represents where the green line is located?
The green line is located is [tex]\frac{1}{2}[/tex]
How to find the fraction?Fraction - A fraction is numerical value which is a part of a whole number. It is created by dividing a whole into number of parts. There are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.
Ken takes 5 steps to get to the spot where the green line falls, and the line falls exactly between the 3rd and 4th steps. Therefore, the green line is [tex]\frac{1}{2}[/tex] of the way between the 3rd and 4th steps. So, the fraction that represents where the green line is located is [tex]\frac{1}{2}[/tex]
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The fraction that represents where the green line is located is 7/12.
What is fraction?A division is an approach to communicating a piece of an entire or a proportion between two amounts.
It is addressed by two numbers isolated by a level line, where the number over the line is known as the numerator and the number beneath the line is known as the denominator.
The numerator addresses the piece of the entire or the amount being thought of, while the denominator addresses the absolute number of a balance of in the entire or the reference amount.
If the rug is exactly six steps wide, and Ken takes six steps to measure it, then each step represents 1/6th of the rug's width.
Since the green line falls right where the third and fourth steps meet, it is located between the 3rd and 4th step, which means it is on the 3.5th step.
Therefore, the fraction that represents where the green line is located is:
3.5 / 6
For simplifying this fraction, we can divide both the numerator and denominator by 0.5, which gives:
7/12
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Rainfall for October in Fiji averages 11" according to World Travel Guide. This year it rained 7% less. How many inches did it rain this year? (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
Step 1:
Calculate the amount of rainfall in October taking into account the 7% less
11 inches of rainfall in October * 0.07(7% as a fraction) = 0.77 inch reduction
11 inches - 0.77 = 10.23 inches in October(this is equivalent to 1/12 of a year as there are 12 months in a year)
10.23 * 12 = 122.76 inches of rainfall in Fiji in a year
Rounded to the nearest tenth = 122.8 inches
Can you help me with this please?
For this study, we should use a one-tailed z-test for proportions.
What is the null and alternative hypothesis?b. The null and alternative hypotheses would be:
H₀: p <= 0.16 (the proportion of millionaires who can wiggle their ears is not higher than 16%)
H₁: p > 0.16 (the proportion of millionaires who can wiggle their ears is higher than 16%)
where p is the true proportion of millionaires who can wiggle their ears.
c. The test statistic is given by:
z = (P - p) / √[p(1-p)/n]
where P is the sample proportion, p is the hypothesized proportion (0.16), and n is the sample size.
In this case, P = 63/368
P ≈ 0.1712,
z = (0.1712 - 0.16) / √[(0.16)(0.84)/368]
z ≈ 1.24
d. The p-value can be calculated using a standard normal distribution table or a calculator. Since this is a one-tailed test with the alternative hypothesis being that p > 0.16, the p-value is the area to the right of the test statistic in the standard normal distribution. Using a calculator, we find that the p-value is about 0.107.
e. The p-value is greater than the significance level of 0.10 (a), so we fail to reject the null hypothesis.
f. Based on this, we should not reject the null hypothesis.
g. Thus, the final conclusion is that the data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 16%.
Therefore, we cannot conclude that the percent of millionaires who can wiggle their ears is higher than the general population proportion of 16%.
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A contractor agrees to lay a road 3000 m long in 30 days. 50 men are employed and they work for 8 hours per day. After 20 working days, he finds that only 1200 m of the road is completed. How many more men does he need to employ in order to finish the project on time if each man now works 10 hours a day?
Answer:
Since the contractor already has 50 men, he needs to employ an additional 71 men to complete the project on time.
Step-by-step explanation:
Let's first find the total amount of work needed to be done, using the given information that the road is 3000 m long:
Total amount of work = 3000 m
We know that 50 men are employed and they work 8 hours per day. So the total man-hours worked in 20 days can be calculated as:
Total man-hours worked in 20 days = 50 men x 8 hours/day x 20 days = 8000 man-hours
We also know that only 1200 m of the road is completed in 20 days. So the amount of work remaining can be calculated as:
Remaining amount of work = Total amount of work - Completed work
Remaining amount of work = 3000 m - 1200 m = 1800 m
Now, we can calculate the total number of man-hours required to complete the remaining work:
Total man-hours required = Remaining amount of work / Productivity rate
Productivity rate = (8000 man-hours) / (1200 m) = 6.67 man-hours/m
Total man-hours required = (1800 m) x (6.67 man-hours/m) = 12,006 man-hours
To complete the remaining work in 10 days, each man needs to work 10 hours per day. Therefore, the total number of men required can be calculated as:
Total men required = Total man-hours required / (Hours per day x Days available)
Total men required = 12,006 man-hours / (10 hours/day x 10 days)
Total men required = 120.06
Rounding up to the nearest whole number, the contractor needs to employ 121 men.
A certain dog can catch a properly thrown tennis ball with a probability of 0.95. Unfortunately, this dog has dropped the last six properly thrown tennis balls. The owner explains that the next throw has to be caught by the dog because he never misses this many.
Is the owner's reasoning correct?
No, the dog is on a losing streak, so he will drop the next ball thrown.
Yes, the dog has missed the last six properly thrown tennis balls, so the next one thrown will be caught.
No, the probability of the dog catching a properly thrown tennis ball is 0.95 over the long run, so the owner cannot say what will happen on the next throw.
Yes, the dog catches 95% of properly thrown tennis balls, so the next one must be caught to compensate for the previous misses.
The correct statement is,
''No, the dog is on a losing streak, so he will drop the next ball thrown.''
Since, A certain dog can catch a properly thrown tennis ball with a probability of 0.95.
Hence, the next properly thrown tennis ball is still 0.95, regardless of the previous six misses.
So, The owner's reasoning is incorrect as each throw is independent of the previous ones, and the dog's previous misses do not affect the probability of catching the next ball.
However, it's possible that the dog may need some practice or training to improve its catching skills.
Thus, The correct statement is,
''No, the dog is on a losing streak, so he will drop the next ball thrown.''
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n
There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12 4
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12
0
12
3 4
O 1- 12
12
Mark this and return
Save and Exit
Nex
Submit
Therefore, the proportion is: 3 feet / 1 yard = 12 feet / 4 yards = 3/1 = 12/4
Alternatively, we can simplify the proportion by dividing both the numerator and denominator of the second fraction by 4:
What is cost?Cost refers to the amount of money or resources that must be expended to produce or obtain a good or service. It represents the total expenditure incurred by a business or individual in order to acquire or produce a product or service. The cost of a product or service may include expenses such as materials, labor, overhead, transportation, and other associated costs. In business, cost is an important factor to consider when determining the price of a product or service, as well as in making decisions regarding production, investments, and resource allocation.
To find out how many decorations can be bought with $25.21, we need to divide the budget by the cost of each decoration:
Number of decorations = budget / cost per decoration
Number of decorations = $25.21 / $34.43/decoration
Number of decorations = 0.73 (rounded to two decimal places)
Therefore, Layla can only afford to buy 0.73 decorations with her budget. Since you cannot buy a fraction of a decoration, the answer would be zero decorations that can be bought with the given budget.
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Rolling a 6-sided die twice what is the probability of rolling a sum of 7
Answer: 1/6.
Step-by-step explanation: When rolling a 6-sided die twice, there are 36 possible outcomes (6 outcomes on the first roll multiplied by 6 outcomes on the second roll).
To calculate the probability of rolling a sum of 7, we need to count the number of ways that can happen. There are six possible ways to roll a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Therefore, the probability of rolling a sum of 7 is 6/36, or simplified, 1/6.
A homeowner is building a wheelchair ramp to make his deck accessible. The recommended angle of inclination is 4.8°. If the ramp must rise 1 ft to meet the height of the deck, then what length does the plywood for the ramp need to be? Round your answer to the nearest foot.
A ramp is drawn with a 4.8 degree angle of elevation. The ramp goes from the x axis to begin ordered pair 0 comma 1 end ordered pair on the y axis.
The plywood for the ramp needs to be at least 12 feet and 3 inches long
We have,
Since the recommended angle of inclination is 4.8°.
We know that the angle between the ramp and the ground is also 4.8°.
Let's call the length of the ramp "L".
We can use the tangent function to find the length of the ramp:
tan(4.8°) = 1 / L
Solving for L.
L = 1 / tan(4.8°)
L ≈ 12.27 feet
(rounded to the nearest foot).
Therefore,
The plywood for the ramp needs to be at least 12 feet and 3 inches long
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Eight people sit in chairs in a room.
In how many ways can four of these people be chosen to stand up?
__ways
Answer:
70
Step-by-step explanation:
You want to know the number of ways 4 people can be chosen from 8.
8 Choose 4There are 8 ways to choose the first person, 7 ways to choose the second, 6 ways to choose the third, and 5 ways to choose the fourth. That gives a total of 8·7·6·5 = 1680 possible permutations.
However, we're only interested in the people standing, not the order in which they got to be standing. Hence, we can divide this number by the number of possible orders in which the people could stand: 4! = 24.
1680/24 = 70
There are 70 ways 4 of 8 people can be chosen to stand up.
__
Additional comment
The function that computes "n choose k" (nCk) is the same function that computes coefficients of a binomial expansion.
nCk = n!/(k!(n-k)!)
On the Y axis we have the profit from the trucking company and on the X axis we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
If the company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. then D. Y intercept will be greater and X will be less.
What is slope?The slope of a line in algebra is a measurement of how steep or incline it is. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on the line is what is referred to as the slope. Mathematically, the method below can be used to determine the slope (m) of a line passing through the points (x1, y1) and (x2, y2).
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where any two separate points on the line are (x1, y1) and (x2, y2), respectively. Depending on the direction and steepness of the line, the slope can be positive, negative, zero, or undefinable.
The trucking company will incur more costs per mile driven as a result of the inclusion of the driver's fee of 0.25 cents per mile, which will reduce earnings. As a result, the slope of the line plotting the profit against the distance travelled will steepen, increasing the slope's value.
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A bag contains 8 red balls and 5 green balls. You randomly select three balls from the bag. Determine the probability of selecting three green balls.
Enter your answer as a decimal and round your answer to three decimal places!
the probability of selecting three green balls from the bag is approximately 0.0116.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
The probability of selecting a green ball on the first draw is 5/13, since there are 5 green balls out of a total of 13 balls in the bag.
After the first green ball is drawn, there will be 4 green balls left out of a total of 12 balls, so the probability of selecting a green ball on the second draw is 4/12 or 1/3.
Similarly, after two green balls have been drawn, there will be 3 green balls left out of a total of 11 balls, so the probability of selecting a green ball on the third draw is 3/11.
The probability of all three events happening together (i.e., the probability of selecting three green balls in a row) is the product of their individual probabilities, so:
P(3 green balls) = (5/13) x (1/3) x (3/11)
P(3 green balls) = 5/429
Therefore, the probability of selecting three green balls from the bag is 5/429 or approximately 0.0116.
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For triangle ABC (shown here), the value of angle BCD is equal to 30 degrees. If CD is the height of the triangle and is 12 centimeters, then what is the perimeter of triangle ABC?
The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
What is the perimeter?
The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.
Let's call the length of AB x and the length of BC y.
First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:
Area of triangle ABC = 1/2 * CD * AB
Substituting the given values, we have:
1/2 * 12 * x = 6x
So the area of triangle ABC is 6x square centimeters.
We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:
tan(30) = x/y
Simplifying, we get:
y = x/tan(30) = x/(1/√(3)) = √(3) * x
Now we can use the formula for the area of a triangle in terms of its sides:
Area of triangle ABC = 1/2 * AB * BC * sin(B)
where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:
Area of triangle ABC = 1/2 * x * √3 * x * sin(60)
Simplifying, we get:
Area of triangle ABC = 1/4 * √3 * x²
Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:
6x = 1/4 * √(3) * x²
Multiplying both sides by 4/√3, we get:
24/√(3) * x = x²
Simplifying, we get:
x² - 24/√(3) * x = 0
Using the quadratic formula, we get:
x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1
Simplifying, we get:
x = 16√(3) / 3 or x = 8 √(3) / 3
Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:
y = √(3) * x
Therefore, we have two possible triangles:
Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3
Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3
The perimeter of each triangle is the sum of its side lengths. Therefore:
Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm
Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm
hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
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Q12.
Three solid shapes A, B and C are similar.
The surface area of shape A is 4 cm²
The surface area of shape B is 25 cm²
The ratio of the volume of shape B to the volume of shape C is 27:64
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
A different car of the same type has an engine size of 2.5 litres.
(b) Estimate the distance travelled on one litre of petrol by this car.
=
kilometres
(2)
(3 marks)
How would I work this out please?
To estimate the distance traveled on one liter of petrol, you would need to know the fuel efficiency of the car, which is usually measured in kilometers per liter (km/L) or liters per 100 kilometers (L/100 km).
Assuming that you have the fuel efficiency of the car, you can use the following formula to estimate the distance traveled on one liter of petrol:
distance per liter = fuel efficiency
For example, if the fuel efficiency of the car is 15 km/L, then the distance traveled on one liter of petrol would be:
distance per liter = 15 km/L = 15 kilometers
Therefore, the estimated distance traveled on one liter of petrol by the car with an engine size of 2.5 liters would depend on its fuel efficiency, which you would need to know in order to make an accurate estimate.
If you rented the jet ski for 9 RTUs, how much would it cost in USD?
You paid 80 USD for the jet ski rental. How long was the rental in RTU?
If you rented the jet ski for 2.5 RTUs, how much would it cost in USD?
Rental Time Units (RTU)
2 = $20
4 = $40
Thanks a lot!
1. If you rented the jet ski for 9 RTUs, it would cost $90 USD.
2. If we paid $80 USD for the jet ski rental, the rental time would be 8 RTUs.
3. If you rented the jet ski for 2.5 RTUs, it would cost $25 USD.
1. How much would it cost in USD?We are given that 1 unit of 1 = 1 RTU = $10.
Then, 9 RTUs will cost:
= 9 * $10
= $90
2. How long was the rental in RTU?To calculate how long was the rental in RTU, you can divide the total cost by the cost of each unit which is:
= $80 / $10
= 8 RTUs
3. How much would it cost in USD?2 units of 1 = 2 RTUs = $20
1 unit of 0.5 = 0.5 RTUs = $5
So, the total cost of jet ski for 2.5 RTU will be:
= $20 + $5
= $25
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What are the values of x and y?
30°
X
y
√15
Answer:
Step-by-step explanation:
y=-2x
60=-2x
-60=2x
-30=x
Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Ron made 2/3 of a quart of hot chocolate. Each mug holds 1/3 of a quart. How many mugs will Ron be able to fill?
Answer: 2 mugs
Step-by-step explanation: If we divide 2/3 by 1/3 we multiply by the reciprocal
2/3 x 3/1
the threes cancel and you are left with two
= two mugs
The length of a rectangle is 5/2
units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms
After answering the presented question, we can conclude that As a result, the expression for the rectangle's perimeter in terms of w is: 6w + 5 is the perimeter.
What is perimeter?A boundary is a closed path that encompasses, surrounds, or delimits a length or shape in two dimensions in one direction. A circle's or an ellipse's outermost portion is known as its perimeter. Numerous circumstances in everyday life call for the application of the perimeter calculation. The radius of an edge determines a form's perimeter. Learn how to add the side lengths of various forms to determine the perimeter.
The length of the rectangle is 2w + 5/2 units, and its width is w units.
The formula for calculating the perimeter of a rectangle is:
2(length + width) = perimeter
Substituting the length and width expressions yields:
2(2w + 5/2 + w) perimeter
When we simplify, we get:
circumference = 2(3w + 5/2)
circumference = 6w + 5
As a result, the expression for the rectangle's perimeter in terms of w is:
6w + 5 is the perimeter.
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Experts!! Thanks for stopping by my question! I would really appreciate the help! I've attached the question below. Thanks!
I'd appreciate if you made sure to double check your answers and provide everything the question is asking! INCLUDE ALL STEPS!
put 0 where the x is in the equation
f(x) = y
f(x) = (x-2)²
y = (0-2)²
y = 4
does the graph go thru (0,4) ?
no
so this is not the graph
Answer:
the vertical asymptote is in the wrong place
Step-by-step explanation:
You want a simple explanation why the graph shown is not a graph of 1/f(x) = 1/(x -2)².
AsymptoteThe zero of f(x) is at x = 2. This will be the equation of the vertical asymptote of the reciprocal function.
The given graph has a vertical asymptote at x = -2, so cannot be a graph of 1/f(x).
Look at the rectangle below. What fraction of the larger rectangle has been shaded blue? Give your answer as an algebraic fraction in its simplest form.
Answer:where is the attachment?
Step-by-step explanation:
Find the equation of the line passing through the points (45,-14) and (-36,4). Write your answer in the form
y=mx+b.
Answer:
y=-2/9x+(-4)
Step-by-step explanation:
we alr know slope is -2/9 (found with rate of change formula) so we have y=-2/9x+b
solve for b with one of the points (i used (-36,4):
4=(-2/9)(-36)+b
b=-4
Kyle is asked to solve a system of equations by substitution:
2x + 3y = 12
x - 2y = 4
Which step should Kyle take first? Why?
Answer:
see explanation
Step-by-step explanation:
2x + 3y = 12 → (1)
x - 2y = 4 ( add 2y to both sides )
x = 2y + 4 → (2)
now he can substitute x = 2y + 4 into (1)
