Answer:
-4f
Step-by-step explanation:
Hi! Let's work on simplifying this.
f(4) = 4f
f(0) = 0, because anything x 0 is 0
f(-8) = -8f
Our equation is 4f + -8f
We can get rid of the plus negative...
4f - 8f
So we get:
-4f
With the airplane loaded as follows, what action can be taken to balance the airplane? front seat occupants = 411 lb rear seat occupants = 100 lb main wing tanks = 44 gal
The airplane will become balanced if we add a 100- pound weight to the baggage compartment.
Why should the weight on the airplane be balanced?An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.
Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.
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x + 2y = -12
find the slope
Answer:
m= -1/2
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Find the slope of the line that passes through the points (2, 5) and (-7, -4).
Answer:
1
Step-by-step explanation:
because yes nsnsnsnsnsnsnnsns. nsnsnd
find x log(7)x=log(3)(x+4)
\(~~~~~~~x\log (7) = (x+4) \log (3)\\\\\\\implies x \log(7) = x\log (3)+4 \log(3)\\\\\\\implies x \log(7) - x \log(3) = 4 \log(3)\\\\\\\implies x ( \log 7 - \log 3) = 4\log 3\\\\\\\implies x = \dfrac{4\log 3}{\log 7 - \log 3} \\\\\\\implies x \approx5.19\)
Question
Write the percent as a fraction or mixed number in simplest form.
276%
Answer: when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 276/100 is also equal to 2 19/25 when expressed as a mixed number.
Step-by-step explanation:
A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs and 389,839 major league baseballs. How many more baseballs than bats were manufactured during the 2 years? Liliana's answer to this question is below. Her teacher says her answer is not reasonable. Look over her work before answering (a) and (b).
Answer:
522,761 baseballs
Step-by-step explanation:
Number of baseball bats produced over the last 2 years = 357, 945
Number of little league baseballs produced over the last 2 years = 490,867
Number of major league baseballs produced over the last 2 years = 389,839
Total number of baseballs produced over the period = 490,867 + 389,839
= 880,706
Number of baseballs manufactured more than bats = 880,706 - 357945
= 522,761
There are 522,761 baseballs produced more than bats during the 2 years.
simplify expressions 2y(y+3)+4y(y-1)
Answer:
6y² + 2y
Step-by-step explanation:
Use distributive property:a*(b+c) =a*b + a*c
2y(y + 3) + 4y(y -1) =2y*y + 2y*3 + 4y*y - 4y*1
= 2y² + 6y + 4y² - 4y
= 2y² + 4y² + 6y - 4y {Combine like terms}
= 6y² + 2y
what is the ratio of
18 rosses to 5 chocolates
Answer:
18:5
Step-by-step explanation:
There, hope it helps!
Answer:
18:5
Step-by-step explanation:
come on man
in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
Drag and drop the equation into the box.
Answer:
x= 180 - 31 + 40
Step-by-step explanation:
Answer:
Its the first one X = 180 - 31 + 40 :))
Explain the difference between the Addition Rule for disjoint events and the General Addition Rule.
Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Step-by-step explanation: The Addition Rule states that for two disjoint events, the probability that one or the other occurs is the sum of the probabilities of the two events. (Book example on p. 280 about the probability that a randomly selected student is either a sophomore (A) or a junior (B) therefore P(A or B). The addition of probabilities for disjoint events is the third basic rule of probability: Rule 3: If two events A and B are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).
Step-by-step explanation: hope this helps0^0
Jason has 120 pieces of art. He puts 5% of them in an art show. How many pieces of art does Jason put in the art show?
Answer:
6
Step-by-step explanation:
5 x 120/100=6
What is the probability of not rolling a 4. On a standard number cube?
1-5/6
2-1/6
3-1/2
4-2/3
Plz help I’m being timed
2 I believe, there are 6 possibilities on a die, 1-2-3-4-5-6. 4 is one of those numbers. Any of the sides could be rolled so each has a probability of 1 out of 6. 1/6 is your answer.
thanks for answering!!!
Answer:
1. b⁵
2. +16m⁹
Step-by-step explanation:
1. Add exponents: b³⁺² = b⁵
2. Negative and Negative = positive
2*8 = 16
m⁴⁺⁵ = m⁹
Hence: + 16m⁹
Answer:
\(1) \: {b}^{5} \)
\(2) \: \: + 16 {m}^{9} \)
Step-by-step explanation:
\( {b}^{3} \times {b}^{2} = {b}^{3 + 2} = {b}^{5} \)
we know that
\(( - ) \times( - ) = ( + )\)
So
\( - 2 {m}^{4} \times - 8 {m}^{5} \\ = + 16 {m}^{9} \)
Which function had the same y-intercept as the function y= 2/3 x-3
Answer:
y-intercept of the function \(y=\frac{2}{3}x-3\) is -3.
Step-by-step explanation:
We need to find the function that had the same y-intercept as the function \(y=\frac{2}{3}x-3\)
(Note: Since the options are not given, so I will find the y-intercept of the given equation and you can match it with the functions and find the y-intercept of the required function)
The equation given \(y=\frac{2}{3}x-3\) is written in slope-intercept form i.e \(y=mx+b\) where m is slope and b is y-intercept.
Comparing equation \(y=\frac{2}{3}x-3\) with \(y=mx+b\) we get the value of b = -3
So, y-intercept of the function \(y=\frac{2}{3}x-3\) is -3.
Now, for the options (not included) in the question, you can find y-intercept and function that have y-intercept = -3 will be the answer.
Sara earns $12. 75 per hour at her job. She works 18 hours each week. While at work, she parks her car in a garage that charges $10. 50 every 3 hours. After paying for parking, how much does Sara earn each week?
Sara earns $200.25 each week after deducting the parking expenses.To calculate Sara's earnings each week, we need to consider her hourly wage,
the number of hours she works, and the parking expenses she incurs. Sara earns $12.75 per hour, and she works 18 hours each week. So, her earnings before parking expenses can be calculated as follows: Earnings before parking expenses = Hourly wage * Number of hours worked = $12.75/hour * 18 hours = $229.50 Now, we need to subtract the parking expenses from Sara's earnings. The garage charges $10.50 every 3 hours. Since Sara works 18 hours, we can calculate how many times she needs to pay for parking by dividing the total hours worked by 3:Number of parking sessions = Total hours worked / Hours per parking session
= 18 hours / 3 hours
= 6 parking sessions
Each parking session costs $10.50, so the total parking expenses can be found by multiplying the number of parking sessions by the cost per session:Total parking expenses = Number of parking sessions * Cost per parking session
= 6 sessions * $10.50/session
= $63.00
Finally, we subtract the parking expenses from Sara's earnings before parking expenses to find her net earnings: Net earnings = Earnings before parking expenses - Total parking expenses
= $229.50 - $63.00
= $166.50
Therefore, after deducting the parking expenses, Sara earns $166.50 each week.
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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B
According to the information given in the question,
A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population
Simulation A -
Sample size - 100
Trials - 1500
Simulation B -
Sample size - 50
Trials - 2000
Now due to the relation of simulation A and simulation B, they are closely equal-
The total sample size of simulation A= 1500 x 100
= 150000
The total sample size of simulation B = 2000 x 50
= 100000
From the above calculations of simulations A and B, we can see that while comparing the,
Sample Size = Simulation A > Simulation B
Variability = Simulation B < Simulation B
Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.
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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
how many ways can 12 countries be selected to serve on a united nations council if 3 are selected from a block of 45, 4 are from a block of 57, and the others from the remaining 91 countries?
The number of ways to select 12 countries from different blocks is 11,415, based on the multiplication principle of counting.
There are 3 ways to select 3 countries from the block of 45. There are 35 ways to select 4 countries from the block of 57. The other 5 countries will come from the remaining block of 91. We are to determine the number of ways 12 countries can be selected to serve on a united nations council if 3 are selected from a block of 45, 4 are from a block of 57, and the others from the remaining 91 countries. Let us apply the Multiplication Principle of Counting to determine the total number of ways:
Multiplication Principle of Counting: The multiplication principle of counting is a counting principle used to determine the total number of possible outcomes of a sequence of events that occur in a particular order.
Suppose an experiment consists of two events E1 and E2 with n1 and n2 possible outcomes respectively. Then the total number of possible outcomes for the two events is given by n1 x n2. Likewise, if an experiment consists of k events, E1, E2, . . . , Ek, with n1, n2, . . . , nk possible outcomes respectively, then the total number of possible outcomes for the k events is given by n1 x n2 x ... x nk.
There are 3 ways to select 3 countries from a block of 45.
There are 35 ways to select 4 countries from a block of 57.
There are 91 ways to select 5 countries from a block of 91.
The total number of ways 12 countries can be selected to serve on a united nations council is given by;
3 ways × 35 ways × 91 ways= 11,415 ways.
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Data Island is a beautiful beach resort. It has been a premier touristic destination for over 80 years, and the earliest holiday homes have been built just a few steps away from the beach itself. You work for a real estate agency that sells and rents holiday homes in Data Islands. Recently, one of the interns working on the Data Science Team presents you a report. According to the linear regression model they have run, the price of a house is proportional to its age. But this does not make any sense: after all, newer houses should be worth more.
1. Comment the regression output, noticing that the Sig. column is reporting the p-value of the coefficient. What can you tell about the sign of Age’s slope?
2. Why do you think the model forecasts an higher price for old holiday homes? Think carefully about all the information you have concerning Data Island.
3. Assuming that more data and variables are available, what would you suggest your intern to do to fix their report?
A lovely beach resort is Data Island. Since it first became a popular tourist destination more than 80 years ago, the earliest vacation homes have been constructed just a few steps from the beach. You are a real estate agent for a company that deals in vacation rentals and sales in the Data Islands. A report was recently presented to you by one of the interns on the data science team. The age of a house affects its price, according to the linear regression model they have ran. But this is absurd because newer homes ought to be more valuable.
1. As the coefficient of Age is positive, so the older the house, the more price it is. Sig. (or p-value) = 0.000 which implies that the co-efficient of Age is significant.
2. This may be that the people who live there are reluctant to sell it, so they quote a higher price or the size of old houses are large or they may be located at prime location.
3. We would ask new interns to consider other independent variables for the regression equation like size of house, location, etc.
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What is the initial value of the equation shown?
y = −5x + 2
a
−5
b
−2
c
5
d
2
Answer:
Y = 2
Step-by-step explanation:
if you were looking for y's value
Find the value of x.
Answer:
1 15 degrees
Step-by-step explanation:
Exterior angle is equal to sum of opposite interior angles
How do I find the measurement of Angle x?
Answer:
26°
Step-by-step explanation:
The angle 123° is on a straight line. All angles on a straight line add up to 180°, so the first thing you should do is subtract 123 from 180.
(180-123)
Now, your answer should be 57°, and that is equal to angle W.
You now know two angles. Angles in a triangle add up to 180°, too, so all you do now is the following:
97 + 57 = 154
180- 154 + 26
And there's your answer!
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
A G.P bulk bills at $36.30 per consultation, and sees a new patient every 12 minutes for 3 hours. A new employee calculates the number of patients and then calculates the medicare bills as follows.
Number of patients:3÷ 0.12=25
Medicare bill: 25x$36.30=907.50
(a)identify and describe the error
(b)recalculate the Medicare bill
Answer:
$544.5
Step-by-step explanation:
a) 12 minutes is 0.2 hours.
So 3/0.2= 15 patients.
b) 15*36.3= $544.5
now your friend would also like to determine the most likely continent of origin for each coin. which model best suited to predict the continent of origin?
Now your friend would also like to determine the most likely continent of origin for each coin. Logistic regression model best suited to predict the continent of origin. So the option b is correct.
A variable's value can be estimated using linear regression analysis depending on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.
Based on a given dataset of independent variables, logistic regression calculates the likelihood that an event will occur, such as voting or not voting. Given that the result is a probability, the dependent variable's range is 0 to 1.
The log chances of the outcomes are modelled as a linear combination of the predictor variables in multinomial logistic regression, which is used to model nominal outcome variables.
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The complete question is:
Now your friend would also like to determine the most likely continent of origin for each coin. Which model best suited to predict the continent of origin?
(1) Linear regression
(2) Logistic regression
(3) Multinomial logistic regression
Write the standard-form equation of the hyperbola with vertices (-3,6) and (-3,-8) and with foci (-3,-11) and (-3,9) .
The standard-form equation of the hyperbola is: (x+3)^2/36 - y^2/b^2 = 1.
To write the standard-form equation of a hyperbola, we need to know the coordinates of the vertices and foci.
Given that the vertices are (-3,6) and (-3,-8), and the foci are (-3,-11) and (-3,9), we can determine the equation of the hyperbola using the following steps:
Step 1: Determine the center of the hyperbola. Since the x-coordinate of the vertices and foci is -3, and the y-coordinate of the vertices and foci differ, the center is (-3,0).
Step 2: Determine the distance between the center and one of the vertices. In this case, the distance is 6 units (from the center to (0,6)).
Step 3: Determine the distance between the center and one of the foci. In this case, the distance is 9 units (from the center to (0,9)).
Step 4: Determine the value of 'a'. 'a' represents the distance from the center to either vertex or focus. In this case, 'a' is 6 units (from the center to (0,6)).
Step 5: Determine the value of 'c'. 'c' represents the distance from the center to either focus. In this case, 'c' is 9 units (from the center to (0,9)).
Step 6: Use the formula for the standard-form equation of a hyperbola:
(x-h)^2/a^2 - (y-k)^2/b^2 = 1,
where (h,k) is the center, 'a' is the distance from the center to either vertex or focus, and 'b' is the distance from the center to the asymptotes.
Plugging in the given values, we have:
(x+3)^2/6^2 - (y-0)^2/b^2 = 1.
Simplifying further, we have:
(x+3)^2/36 - y^2/b^2 = 1.
Thus, the standard-form equation of the hyperbola is:
(x+3)^2/36 - y^2/b^2 = 1.
Please note that the value of 'b' is not given, so we cannot determine the specific equation of the hyperbola without that information.
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The average NASCAR race car travel 4. 5 mile on one gallon of ga. If the car are de- igned to average 100 mile between fillup, what i the minimum ize ga tank required? Round t
Answer:
23 gallons
or 22.2 (repeated)
Step-by-step explanation:
divide 100 by the number of miles per gallon
11/4.5=22.2
if you have to answer in a whole number round up because it says minimum
Step-by-step explanation:
so many typos. I can only guess what you need. and you skipped the information about rounding. so, I cannot do that for you.
the car can travel 4.5 miles per gallon of gas.
to go 100 miles with one tank filling, the tank must have a capacity of at least
100/4.5 = 22.22222222... gallons
please round to whatever you need.
Question content area top
Part 1
A computer store buys a computer system at a cost of $. The selling price was first at , but then the store advertised a markdown on the system. Answer parts a and b.
Question content area bottom
Part 1
a. Find the current sale price.
The sale price is $
enter your response here.
(Round to the nearest cent as needed.)
Part 2
b. Members of the store's loyalty club get an additional % off their computer purchases. How much do club members pay for the computer with their discount?
The price for club members is $
enter your response here.
(Round to the nearest cent as needed.)
a. The current sale price for the computer system is given as follows: $618.4.
b. The amount paid by the club members, with the discount, is given as follows: $587.48.
How to obtain the prices?The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.
The selling price is of:
$773.
The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:
0.8 x 773 = $618.4.
Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:
0.95 x 618.4 = $587.48.
Missing InformationThe problem is given by the image presented at the end of the answer.
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use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
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Zendaya has $700 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $242.33.
She buys 3 bicycle reflectors for $7.17 each and a pair of bike gloves for $33.68.
She plans to spend some or all of the money she has left to buy new biking outfits for $77.40 each.
The number of new biking outfits that Zendaya can buy will be 5 outfits
Let the number of new biking outfits that can be purchased be x
Amount to spend = $700
Based on the information given, the equation to use will be:
242.33 + (3 × 7.17) + 33.68 + (77.40 × x) = 700
242.33 + 21.51 + 33.68 + 77.40x = 700
Collect like terms
77.40x = 700 - 242.33 - 21.51 - 33.68
77.40x = 402.48
x = 402.48/77.40
x = 5.2
The number of new biking outfits that Zendaya can buy is 5 outfits
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