Answer: B. 3x+6<6 or -2x+9>3
C. 3x-5<10 and -2x+9>3
How do you calculate end behavior?
To calculate end behavior of a polynomial function, you need to identify the leading term and its degree.
Leading term: The leading term is the term with the highest degree in the polynomial.
Degree of the leading term: The degree of the leading term indicates the rate of change of the polynomial.
Sign of the leading term: The sign of the leading term (positive or negative) indicates whether the end behavior of the function is upward or downward.
End behavior: Based on the degree and sign of the leading term, you can determine the end behavior of the function as follows:
If the degree is odd and the leading term is positive, the end behavior is upward.
If the degree is odd and the leading term is negative, the end behavior is downward.
If the degree is even and the leading term is positive, the end behavior is asymptotic to the x-axis.
If the degree is even and the leading term is negative, the end behavior is asymptotic to the x-axis but oscillates below and above the x-axis.
Example: Consider the polynomial function f(x) = x^3 - 5x^2 + 2x + 7. The leading term is x^3 with a degree of 3 and a positive sign, so the end behavior is upward.
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The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
What is the administration fee?
$50
$54
$55
$60
.
Answer:
D.) $60
Step-by-step explanation:
First, use the given information to calculate the monthly charge:
15 months-12 months = 3 months
$810-$660=$150
So, 3 months of parking costs $150 which translates to $50 a month. Using this information and the original given information, the administration fee can be calculated:
12($50)+x=$660
$600+x=$660
$600+x-$600=$660-$600
x=$60
and
15($50)+x=$810
$750+x=$810
$750+x-$750=$810-$750
x=$60
The administration fee is $60
Answer:
D) $60
Step-by-step explanation:
EDGE
The head of a hammer is located 9 cm to the left of its
center of mass, while the bottom of the handle of the
hammer is 29 cm to the right of the center of mass. Determine the length of the hammer. Justify your
answer using an appropriate geometry principle (definition, theorem, etc.)
The length of this hammer is going to be 38cm
What is length?Length has the dimension of distance in the International System of Quantities. The majority of measuring systems choose a base unit for length from which all other units are derived.
The formula that we would use to get the length is
r₁ + r₂ = L
Where r₁ is the lenght 9 cm from the head
29 cm is the length from the bottom
When we add these two, we would have the length of the hammer
29 + 9 = 38cm'
Hence the length of the hammer is 38 cm
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Solve 2 ≤ 2x+4 <10 for x.
Answer:
−1≤x<3
Step-by-step explanation:
2 ≤ 2x+4 <10
Subtract 4 from all sides.
2-4 ≤ 2x+4-4 <10-4
-2 ≤ 2x <6
Divide 2 from all sides.
-2/2 ≤ 2x/2 <6/2
-1 ≤ x < 3
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The elevation of a city is positive if the city is above sea level and negative if below sea level. The elevation of New Orleans is -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text. What does an elevation of -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text represent in this situation? Choose 1 answer: Choose 1 answer: (Choice A) A New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text above sea level. (Choice B) B New Orleans is at sea level. (Choice C) C New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text below sea level.
Answer:
Yes
Step-by-step explanation:
Answer:
the anwser is below sea level
Step-by-step explanation:
A race is 3 miles long. After running of the race, Rosie stopped for some
water. How many miles had Rosie run when she stopped for water?
A 1-miles
B 12 miles
20
43
12
50
miles
D 2½ miles
F
CC
What percent of 150 is 90? ANS ________ %
What percent of 150 is 90? ANS ________ %
In this problem
150 represent 100%
so
Applying proportion
Find out what percentage represent 90
so
100/150=x/90
solve for x
x=(100/150)*90
x=60%
answer is 60%Which sets of ordered pairs represent relations that are functions? You may choose more than one correct answer.
((1.0), (2.0), (3, 0). (4,0)]
(2, 3), (2, 4), (2,5), (2. 6))
[(1, 1), (2, 2), (3, 3), (4,4)}
[(1,3), (-1, 4), (1.4), (-1,3)}
[(6-6). (-6, 6), (5,-5), (-5,5)}
Judy will use 2 1/2 cups of flour for each cake she bakes judy has 10 cups of flour what is the maximum number of cakes judy can bake
Answer:
4
Step-by-step explanation:
because 2 1/2 times 4=10
Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games. The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies.
The standard deviation is the best measurement of spread for games and movies.
To determine the spread of data, various measures can be used. These measures are referred to as measures of spread, dispersion, or variability.
The two most widely used measures of spread are the interquartile range (IQR) and standard deviation (SD).The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).
That is, IQR = Q3 - Q1. The IQR gives the range of the middle 50% of data points.
The main advantage of using IQR is that it is not affected by outliers. Outliers are extreme values that lie far away from the bulk of the data points. IQR is more robust than SD when it comes to outliers.
However, IQR ignores the values in the top and bottom 25% of data, which may not give a complete picture of the spread of the data.SD is calculated by first finding the mean of the data and then finding the deviation of each data point from the mean.
The deviations are then squared, summed, and divided by the total number of data points minus one.
The square root of this value gives the SD. SD measures the average ditance of data points from the mean. Unlike IQR, SD takes into account all the data points.
The advantage of using SD is that it gives a complete picture of the spread of the data. SD is also more sensitive to small changes in data than IQR.
Based on the above explanations, it is clear that the standard deviation is the best measurement of spread for games and movies.
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Suppose that lim f(x) = 8 and lim g(x) = - 1. Find the following limits. a.[f(x)g(x)] b. [f(x)g(x)] c. [f(x)g(x)] d. [f(x)g(x)]
The limits are as follows:
a. lim [f(x)g(x)] = -8
b. lim [f(x)/g(x)] = -8
c. lim [g(x)/f(x)] = -1/8
d. lim [f(x)g(x)] = -8
To find the limits of the given expressions, we can use the limit laws and properties. Given that lim f(x) = 8 and lim g(x) = -1, we will compute the limits for the expressions provided.
a. lim [f(x)g(x)]
Using the limit product rule, the limit of a product of two functions is equal to the product of their individual limits:
lim [f(x)g(x)] = lim f(x) * lim g(x) = 8 * (-1) = -8
b. lim [f(x)/g(x)]
Using the limit quotient rule, the limit of the quotient of two functions is equal to the quotient of their individual limits:
lim [f(x)/g(x)] = lim f(x) / lim g(x) = 8 / (-1) = -8
c. lim [g(x)/f(x)]
Similarly, using the limit quotient rule:
lim [g(x)/f(x)] = lim g(x) / lim f(x) = (-1) / 8 = -1/8
d. lim [f(x)g(x)]
To find this limit, we multiply the limits of f(x) and g(x):
lim [f(x)g(x)] = lim f(x) * lim g(x) = 8 * (-1) = -8
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Find C(x) if C'(x) = 5x^2 - 7x + 4 and C(6) = 260. A) C(x) = 5/3 x^3 - 7/2 x^2 + 4x + 260 B) C(x) = 5/3 x^3 - 7/2 x^2 + 4x - 260 C) C(x) = 5/3 x^3 - 7/2 x^2 + 4x - 2 D) C(x) = 5/3 x^3 - 7/2 x^2 + 4x + 2
So the value of the given function is option B) C(x) = 5/3 x^3 - 7/2 x^2 + 4x - 260.
The final equation for C(x) is C(x) = 5/3 x^3 - 7/2 x^2 + 4x - 1702, and this function satisfies the given conditions C'(x) = 5x^2 - 7x + 4 and C(6) = 260.
To find C(x), we need to integrate the given function C'(x):
C(x) = ∫(5x^2 - 7x + 4) dx
C(x) = 5/3 x^3 - 7/2 x^2 + 4x + C (where C is the constant of integration)
To find the value of C, we use the initial condition C(6) = 260:
C(6) = 5/3 (6)^3 - 7/2 (6)^2 + 4(6) + C = 260
Simplifying the equation, we get:
2160 - 126 - 72 + C = 260
C = -1702
Therefore, the final equation for C(x) is:
C(x) = 5/3 x^3 - 7/2 x^2 + 4x - 1702
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Participants in a survey were asked the number of hours of television they
watch each week. The dot plot shows the distribution of their responses.
·
H
0 2
4 6 8 10 12 14 16
Number of Hours
After the data was recorded in the dot plot, another response was found for a
participant who watches 30 hours of television each week. How will this
additional data point affect the mean number of hours of television watched
each week?
A. The effect on the mean number of hours cannot be determined.
B. The mean number of hours will decrease.
C. The mean number of hours will increase.
D. The mean number of hours will remain the same.
Are all terminating and repeating decimals rational numbers? Explain.
Responses
yes; These decimals can be written as ab where a and b are integers and b≠0.
yes; These decimals can be written as A over b where A and b are integers and b is not equal to 0.
yes; All decimals are rational numbers.
yes; All decimals are rational numbers.
no; Repeating decimals are irrational numbers.
no; Repeating decimals are irrational numbers.
no; All decimals are irrational numbers.
Yes , all terminating and repeating decimals are rational numbers , as these decimals can be written as A over b where A and b are integers and b is not equal to 0.
In the question ,
given a repeating decimal number .
For Example : let x=0.7777777... be a repeating decimal
to convert to rational numbers ,
let x=0.777777... ...(i)
and n be the number of repeating digits .
multiply equation(i) by 10ⁿ,
here 7 is the only repeating digit so n= 1
multiplying equation (i) by 10¹ ,
we get
10x = 7.777777.... ...(ii)
Subtracting equation (i) from equation(ii)
9x = 7
x = 7/9
hence all repeating decimals can be represented as rational numbers .
Terminating decimals can be be represented as rational numbers ,
For Example : 0.1 is a terminating decimal , which can be written as 1/10, which is a rational number.
Therefore , Yes , all terminating and repeating decimals are rational numbers , as these decimals can be written as A over b where A and b are integers and b is not equal to 0.
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Pls help I need an answer fast!!
The domain of this relation is {-5, -3, 0} which is option c.
From the graph:
The points marked are:
(-5, -4) , (-3, 4) , (0, -4) ,(0, 4).
Domain is nothing but the all the x-values or inputs to the function with no repetition.
Here from the points the set of x-values is {-5, -3, 0, 0}.
Domain = {-5, -3, 0} because 0 is repeated here so it is considered only once.
Hence the domain of the given relation is {-5, -3, 0}.
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Johnny charges $10 plus $7.50 per hour to mow lawns.
The linear equation of Johnny's charges is C(x) = 10 + 7.5x
How to determine the linear equationFrom the question, we have the following parameters that can be used in our computation:
Initial charge = $10
Hourly rate = $7.50
Let the number of hours be x and the total cost be C(x)
So, we have the following representation
C(x) = Initial charge + Hourly rate * x
Substitute the known values in the above equation, so, we have the following representation
C(x) = 10 + 7.5x
Hence, the function is C(x) = 10 + 7.5x
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Complete question
Johnny charges $10 plus $7.50 per hour to mow lawns.
Determine the linear equation
Evaluate. (-3 2/3)^2
Answer:
answer is 121/9
Step-by-step explanation:
13.4444444444 (decimal form)
121/9 (improper fraction form)
13 4/9 (mixed fraction form)
Which number line represents the solution of 1/2 b ≥ 4 ?
Answer:
Answer D
Step-by-step explanation:
Solve for b:
\(\frac{1}{2}b \geq 4\)
Divide both sides by a half
\(b\geq 8\)
We see that its a greater than or equal too sign, which means the number line has to be facing to the right with a closed circle. Therefore, D is our answer.
a triangular playground has two sides measuring 60 feet and 95 feet between which two measures must the third side of the triangle fall?
Based on the Triangle Inequality Theorem, any side of a triangle must be shorter than the sum of the other two sides.
Let a = first side, b = second side, and c = third side.
Applying the Triangle Inequality Theorem, we can say that:
\(\begin{gathered} cSo, if a = 60 ft and b = 95 ft, then the third side must be shorter than 155 ft.\(\begin{gathered} cIn addition, by subtracting "a" from "b", the third side must be greater than 35 ft.\(\begin{gathered} b35ft \end{gathered}\)Therefore, the measure of the third side must fall between 35 ft and 155 ft.
rolling a fair dice, what is the probability that before you getting an odd number, you have got all the even numbers
The probability is \(\frac{1}{2}\).
To solve this problem we need to recognize the idea of probability.
To calculate the probability we need to divide the desired final results with the aid of the overall number of consequences.
here, it is asked to locate the chance of having all even numbers earlier than getting an strange variety.
We know that the whole number of results when we roll a dice is 6.
We realize there are three odds and three even in the cube. So, the required
probability of getting even = \(\frac{3}{6}\)
= \(\frac{1}{2}\)
The required probability is equals to \(\frac{1}{2}\).
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What is cos H for this triangle?
Enter your answer by filling in the boxes.
cos H=
Answer:
k/j
Step-by-step explanation:
i just took the test, good luck!
Pls help me with this it's urgent!
Answer:
function is the correct answer
Answer:
an = a1 + (n - 1 ) d (Function)
Step-by-step explanation:
This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function
If you want to maximize your probability of winning, what threshold should you set for your strategy in a gameof 10 flips
It's important to approach any strategy with caution and understand its limitations.
If one wants to maximize their probability of winning in a game of 10 flips, they should set the threshold at 6.
This is because when playing a game of 10 coin flips, there are 2^10 or 1024 possible outcomes, with 512 of them resulting in a win, a loss, or a tie.
Therefore, setting the threshold at 6 ensures that they win at least 6 out of the 10 coin flips, resulting in a higher probability of winning.
However, it's worth noting that this strategy is not foolproof as it does not take into account the sequence of the coin flips.
For example, if the first 5 coin flips are tails and the last 5 are heads, setting the threshold at 6 would result in a loss.
Therefore, it's important to approach any strategy with caution and understand its limitations.
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What is the difference between nominal, ordinal, interval and ratio measurements? Explain each measurement with an example.
Nominal measurement is used to assign a category or label, Ordinal is used to rank objects in a specific order, Interval is used to indicate distance between two points on a scale and Ratio is used to indicate proportion of one quantity to another.
Measurements are a way of quantifying certain characteristics of an object or phenomenon. There are different types of measurements, each with their own characteristics and uses. The four main types of measurements are nominal, ordinal, interval, and ratio.
Nominal measurements are used to assign a category or label to an object or phenomenon. For example, the colors of a rainbow (red, orange, yellow, green, blue, indigo, and violet) are a nominal measurement because they are simply labels, and there is no inherent order or difference between them.
Ordinal measurements are used to rank objects or phenomena in a specific order. For example, the ranks of a military organization (private, corporal, sergeant, captain, etc.) are an ordinal measurement because they indicate a specific order, but there may not be a consistent difference between the ranks.
Interval measurements are used to indicate the distance between two points on a scale. For example, temperature measured in degrees Celsius is an interval measurement because it tells us the difference in temperature between two points, such as 20 degrees Celsius and 30 degrees Celsius, but there is no true zero point on the scale (absolute zero is not 0 degrees Celsius).
Ratio measurements are used to indicate the proportion of one quantity to another. For example, weight measured in kilograms is a ratio measurement because it tells us the proportion of one weight to another, such as one person weighing 50 kilograms and another person weighing 100 kilograms, and there is a true zero point on the scale (0 kilograms).
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after so-called play-in games, the ncaa men’s basketball tournament is a 64-team single-elimination tournament. after the teams are assigned, in how many ways can the tournament unfold? how many (base-10) digits does this number have?
This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.
What is counting principle?The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. It indicates that there are nm methods to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.
Here,
Since I don't know anything about NCAA's March Madness, I'll assume that you're talking about a 64-team single-elimination tournament.
In the first round, there are 32 games, each with 2 possible outcomes. This provides for a total of 2^32 possibilities.
In the next round, there are only 16 games, again each with 2 possible outcomes, for a total of 2^16 possibilities.
You keep going, eliminating half of the players each round and taking half as long as the previous round to play the games out, until the finals, at which point there is 1 game with 2 possible outcomes.
This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.
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dan pays £714.73 a year on his car insurance
the insurance company reduces the price by 4.1%
how much does the insurance cost now?
give your answer rounded to 2DP
Answer:
Current insurance cost = \(685.43\) $
Step-by-step explanation:
Given
Original Payment = £714.73Reduced Percentage = 4.1%
Reduced Amount = \(4.1\%\:\times\:714.73\)
\(=\left(\frac{4.1}{100}\right)\left(714.73\right)\)
\(=\frac{41\times \:714.73}{1000}\)
\(=29.30\) $
Current Insurance cost = \(714.73 - 29.30\)
= \(685.43\) $
Thus,
Current insurance cost = \(685.43\) $
Carlos vende vasos con 250 ml de limonada cada uno. si preparó 9 litros de limonada, ¿cuántos vasos de limonada puede servir?
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
nequals=7
pequals=0.65 xequals=6
(Do not round until the final answer. Then round to four decimal places as needed.)
The probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:
P(x) = (n choose x) * p^x * (1-p)^(n-x)
where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:
(n choose x) = n! / (x! * (n-x)!)
So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:
P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
= 7 * 0.65^6 * 0.35^1
= 0.3052
Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
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Determine the correct classification for each number or expression.
The numbers in this problem are classified as follows:
π/3 -> Irrational.Square root of 54 -> Irrational.5 x (-0.3) -> Rational.4.3(3 repeating) + 7 -> Rational.What are rational and irrational numbers?Rational numbers are defined as numbers that can be represented by a ratio of two integers, which is in fact a fraction, and examples are numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating. Examples are integers, fractions and mixed numbers.Irrational numbers are defined as numbers that cannot be represented by a ratio of two integers, meaning that they cannot be represented by fractions. They are non-terminating and non-repeating decimals, such as non-exact square roots.More can be learned about rational and irrational numbers at brainly.com/question/5186493
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Can somebody explain why 8/17 is correct. Will make brainliest.
Answer:
8/17 is correct because cosine = adjacent/hypotenuse, and since angle A is theta, or the reference angle, the adjacent of A would be 8, and the hypotenuse is always across the right angle.
15/17 would be sine instead of cosine