The function f(x) is graphed below. What is true about the graph on the interval from x=−∞ to x=a?
Graph is negative and increasing in the interval x = - to x = a
A graph is included in the question in this case.
If the graph of any function is moving downward over a specific time interval, we know that. Function then starts to decline during that period.
If the graph of any function is rising during a specific interval. Function then increases throughout that specific time period.
A graph is positive when it is oriented above the horizontal axis.
It can be seen in the accompanying graph that the function's graph is below the x-axis between the values of x = - to x = a as it is oriented below the horizontal axis and graph is increasing
So
According to the given information
Graph is negative and increasing in the interval x = - to x = a
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For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
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What is the value of z?
Enter your answer in the box.
Answer:
23°Step-by-step explanation:
the sum of the interior angles in a triangles is 180°
take off 62° and 95° from 180°
180 - 62 - 95 = 23°
What are the x-and y intercepts for the graph of 5x-2y=20?
Answer: y = (5)(2)x-10
Step-by-step explanation:
An amusement park charges $9 per adult and $7 per child, but offers a $35 family pass for either two adults and three children, or one adult and four children, and a $7 per person group rate for groups of at least ten visitors. This flowchart leads to the most cost-effective ticket buying strategy. AmusementPark.java Load default template... import java.util.scanner; public class AmusementPark \{ public static void main(String[] args) \{ Scanner in = new Scanner(System. in); int adults = in. nextInt(); int children = in. nextInt(); if (adults + children >=10 ) \} else if (adults >=2 ) \{ System.out.println("Buy only individual tickets"); 3 if (children >=3 ) else \{ System.out.println("Buy group pass"); 6 3 else \{ System.out.println("Buy family pass"); 7 8 if (children >=4) System. out.println("Buy family pass"); \} \{ System.out.println("Buy only individual tickets"); 12
The final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.
The given Java code is a basic template for implementing a cost-effective ticket buying strategy at an amusement park. It takes input for the number of adults and children visiting the park and suggests the most suitable ticket option.
The flowchart logic is as follows:
1. If the total number of adults and children is equal to or greater than 10, the group rate is the most cost-effective option, and the code directs you to buy the group pass.
2. If there are at least 2 adults, but not enough visitors for the group rate, the code suggests buying only individual tickets.
3. If there are fewer than 2 adults, the code checks if there are at least 3 children. If so, it suggests buying the family pass.
4. If there are fewer than 2 adults and fewer than 3 children, the code suggests buying only individual tickets.
Based on the given flowchart and Java code, the cost-effective ticket buying strategy would be as follows:
• If the total number of adults and children is 10 or more, buy the group pass at $7 per person.
• If there are at least 2 adults, but fewer than 10 visitors, buy only individual tickets at $9 per adult and $7 per child.
• If there are fewer than 2 adults and at least 3 children, buy the family pass at $35.
• If there are fewer than 2 adults and fewer than 3 children, buy only individual tickets at $9 per adult and $7 per child.
In conclusion, the final answer would depend on the specific number of adults and children provided as input. The code would execute the appropriate if-else conditions and print the most cost-effective ticket option accordingly.
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A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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what is the value of the following expression? true && !false
The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.
1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".
2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".
Therefore, the value of the expression "true && !false" is "true".
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If x > y² > z⁴, which of the following statements could be true?
I. x > y > z
II. z > y > x
III. x > z > y A. I only
B. I and II only
C. 1 and III only
D. II and III only
E. I, II and III
The only possible statement is option I, x > y > z. The correct answer is A. I only. Since z⁴ is always less than or equal to y², which is always less than or equal to x, we know that x > y² > z⁴ > 0.
Taking the square root of y² > z⁴, we get y > z² > 0.
Therefore, we know that y is greater than z², and since x is greater than y², we can also say that x is greater than z⁴.
With this information, we can eliminate option II as it suggests that z is greater than x, which we know is not true.
We can also eliminate option III as it suggests that z is greater than y, which we know is not true either.
Therefore, the only possible statement is option I, x > y > z.
Hence, the correct answer is A. I only.
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Type the correct answer in each box. Use numerals instead of words. If necessary, round to the nearest hundredth.
The relationship between the values of two different currencies is modeled by a linear function that varies depending on the current value of each currency. The table shows the relationship between an amount in U.S. dollars, x, and the equivalent amount in euros, f(x), where f(x) = x/1.06.
The inverse function is given by f⁻¹(x) = 1.06x. 2 euros is equivalent to 2.12 U.S. dollars. 4 euros is equivalent to 4.24 U.S. dollars
How to find the inverse function?Given that: the two different currencies is modeled by a linear function f(x) = x/1.06
where, x = an amount in U.S. dollars and f(x) = the equivalent amount in euros
To find the inverse function f⁻¹(x). Let y = f(x):
y = x/1.06
x = 1.06y
Since x = f⁻¹(y) = 1.06y
Thus, f⁻¹(x) = 1.06x
Note: f⁻¹(x) will help you convert from euros to dollar
2 euros to dollars will be:
f⁻¹(x) = 1.06x
f⁻¹(2) = 1.06(2) = 2.12
Thus, 2 euros is equivalent to 2.12 U.S. dollars
4 euros to dollars will be:
f⁻¹(x) = 1.06x
f⁻¹(4) = 1.06(4) = 4.24
Thus, 4 euros is equivalent to 4.24U.S. dollars
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What is the area of △JKL in square units? KJL is a triangle. The angle J is 94 degree and the angle L is 26 degree. Side JK is 24 and JL is 41.
Answer:
426.07 square units
Step-by-step explanation:
Recall that for a triangle whose angles are A,B,C with corresponding sides a, b, c, the area G of the triangle may be computed as
G = 1/2 ab Sin C
or
G = 1/2 bc Sin A
or
G = 1/2 ac Sin B
Going by this, recall that the sum of angles in a triangle is 180 hence
94 + 26 + K = 180
120 + K = 180
Subtract 120 from both sides
K = 180 - 120
K = 60 degrees
Given that JK = 24 and JL = 41
G = 1/2 * 24 * 41 Sin 60
= 426.07 square units
x-y=3
work out the value of 5(x-y)
work out the value of 2x-2y
k
work out the value of y-x
If x - y = 3
Work out the value of 5(x - y)
Answer:-x - y = 3 ( Given )
\( \therefore \) 5(x - y) = 5 × 3 = 15 [ as x - y = 3 ]
_____________________________________
Question:-If x - y = 3
Work out the value of 2x - 2y
Answer:-x - y = 3 ( Given )
\( \therefore \) 2x - 2y = 2(x - y) = 2 × 3 = 6 [ as x - y = 3 ]
_____________________________________
Question:-If x - y = 3
Work out the value of y - x
Answer:-x - y = 3 ( Given )
\( \therefore \) y - x = -3 [ as x - y = 3 ]
_____________________________________
Answer:
1
Step-by-step explanation:
Based on the following survery results, what is the probability that somebody chose not chow mein as
their favorite food in simpliest form?
Favorite Food Responses:
pizza =19
steak = 8
chow mein =5
seafood =4
spaghetti =3
cereal=1
P(not chow mein)= ______
The probability that somebody chose not chow mein as their favorite food in simplest form is 7/8.
What is probability ?The probability of an event is described as a number that indicates how likely the event is to occur which is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
From the total responses see, the number of people who did not choose chow mein as their favorite food is found below:
19 + 8 + 4 + 3 + 1 = 35.
Therefore, Probability (not chow mein) = 35 / (19 + 8 + 5 + 4 + 3 + 1) = 35 / 40 = 7/8
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The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1
The answer is 2 I think ;>
What is the absolute value of -7? How far is it from zero?
Answer: The absolute value is -7 and is -7 far away from 0.
Step-by-step explanation:
Find two positive numbers whose product is 49 and whose sum is a minimum. (enter your answers as a comma-separated list. ).
The two numbers 7 and 7 have a product of 49 which has the least sum.
The biggest (maximum) and smallest (minimum) variables that a function f may have, either in a specific area or throughout its whole domain, are known as its maxima and minima.
Let f and f′ vary in terms of their derivatives. If f ′ (a) = 0 and f ′′ (a) > 0, and is the comparative minimum of f in that case.
S (x, y) = x + y is the sum of the two values in our function to minimize.
S may be rewritten as s in one variable by using the constraint xy = 49:
xy = 49
y = 49 ÷ x
S(x,y) = x+y
s(x) = x + (49 ÷ x)
s'(x) = 1 + (49 ÷ x²)
x² = 49
x = ±√49
x = ±7
Considering that we are discussing positive numbers:
x = 7
The second derivative test allows us to confirm that it is at least:
s'(x) = 1 + (49 ÷ x²)
s''(x) = 98 ÷ \(x^3\)
s''(x) = 98 ÷ \(x^3\) > 0
The second number is obtained by using the requirement that the combination of the two numbers must equal 49:
x = 7
xy = 49
7y = 49
y = 7
The two numbers 7 and 7 have a product of 49 which has the smallest sum.
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2 of 5
There are 6 times as many males as females on the maths course at university. What fraction
of the course are male?
Give your answer in its simplest form.
Answer:
Fraction of females enrolled in the course = 6 / 7
Step-by-step explanation:
Suppose that
Total Number of males = x
Total Number of females = 6x
Total Number of Students = 6x + x = 7x
Now, we have to find the what fraction of the course females candidates constitute.
Female Fraction = Total Females : Total Students
Female Fraction = 6x : 7x
Female Fraction = 6 : 7
Female Fraction = 6 / 7
So Total number of females enrolled in the course constitute the fraction = 6 / 7
Consider the vector Pˉ=110iˉN+60jˉN−0.58Pkˉ, where P=∣Pˉ∣. a) The magnitude of Pˉ is P=N. b) The direction cosine of Pˉ with respect to the x− axis is c) The directional angle of Pˉ with respect to the z− axis is
a) The magnitude of Pˉ is P. b) The direction cosine of Pˉ with respect to the x-axis is 110/P. c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).
a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.
b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.
c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.
Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.
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Write an exponential function in the form y=ab^x that goes through points (0, 2) and (6, 8192)
Answer:
y=2(2 2^(1/6))^x
Step-by-step explanation:
y=2(2 2^(1/6))^x
since b^x with x being zero b has to be 1 and since y = 2 a also = 2
then insert that back into the equation
Hope that helps :)
The exponential function that goes from (0, 2) and (6, 8192) will be y = 2(\(4^{x}\)).
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given exponential function,
y = a\(b^{x}\)
Put (0, 2) into the above function,
2 = a(b)⁰
a = 2
Put (6, 8192) and a = 2
8192 = 2(b)⁶
b⁶ = 4096
b = 4
Thus required function will be y = 2(\(4^{x}\)).
Hence"The exponential function that goes from (0, 2) and (6, 8192) will be y = 2(\(4^{x}\))".
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for each of the following populations, would a score of x = 85 be considered a central score (near the middle of the distribution) or an extreme score (far out in the tail of the distribution)?
By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.
A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.
In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.
Population 1: x = 85 would be considered a central score in this population because it is near the middle of the distribution. The scores in this population are fairly evenly distributed, with a range of 80 to 90.Population 2: x = 85 would be considered an extreme score in this population because it is far out in the tail of the distribution. The scores in this population are clustered around 70, with a range of 65 to 75.Population 3: x = 85 would be considered an extreme score in this population because it is far out in the tail of the distribution. The scores in this population are clustered around 95, with a range of 90 to 100.Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.
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Write as decimals:
1.23%
2.56.9%
3.103%
4.0.09%
Answer:
0.23
0.569
1.03
0.0009 i think
Step-by-step explanation:
umm when you convert to decimal you move the decimal point two times to the left i think
help me please 9x+184=7x+156
x=?
Answer:
I believe x = -14.
I might be wrong
Step-by-step explanation:
can anyone help me with the 5"c" and "d"
Answer:
see explanation
Step-by-step explanation:
(c)
ratio of
boys : total students
= 182 : 260 ( divide both parts by 26 )
= 7 : 10
number of girls = 260 - 182 = 78
ratio of
girls : total students
= 78 : 260 ( divide both parts by 26 )
= 3 : 10
PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
6 Edgar, Sid, and Dylan have $90 all
together. Edgar has $33. Sid and Dylan
have an equal amount of money. Which
equation can be used to find E, the amount
of money that Sid and Dylan each have?
The equation that can be used to find the amount of money that Sid and Dylan each have is 0.5E = $57
Equations that can be derived from the question
The following equations can be deduced from the question:
a + b + c =$90 equation 1
$33 + b + c = $90 equation 2
Where:
a = amount of money Edgar has b = amount of money Sid has c = amount of money Dylan hasIn order to determine the amount of money that Sid and Dylan have, make b and c the subject of the formula in equation 2
b + c = $90 - $33
b + c = $57
Since both people have the same amount of money, the equation becomes
0.5(b + c) = $57
0.5E = $57
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Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plsJeremy deposited xxx dollars in his investment account on January 111, 200120012001. The amount of money in the account doubled each year until Jeremy had 480480480 dollars in his investment account on January 111, 200520052005. What is the value of xxx
The value of x is $30.
What is the value of x?From the question, it can be deduced that Jeremy's investment account earns a compound interest. Compound interest is when the amount invested and the interest that has already accrued increases in value anytime interest is paid.
The formula that can be used to determine the value of x is:
x = FV / (1+r)^t
FV = Future value = 480R = interest rate = 100%N = number of years : 2005 - 2001 = 4X = 480 / (2^4) = $30
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Please no fakes this is the last of my points please try really hard to figure out this problem. if you don't get it go to another person question then answer it please just dont say idk. im beggin you!!! :(
Answer:
A.
- Line 1 - Dead Sea
- Line 2 - Lake Assal
- Line 3 - Laguna del Carbon
- Line 4 - Death Valley
B.
Lake because it is closer to zero on a number line than Death Valley
C.
-8 < -282 < 0
Hope This Helps! And so sorry it tool me so long to answer!
In a second grade class containing 12 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls?.
Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the descriptions.
The tiles to match the descriptions are;
Hull house - Neighbourhood assistance.
Muckrakers - Investigative journalists.
Protestants - Temperance movement.
Women's suffrage - Nineteenth amendment.
What is Progressive time period?The Progressive Era, which encompassed the years between the 1890s and the 1920s in US history, was one of intense social and political reform with the goal of advancing the creation of a better society.
Case 1: The settlement home that welcomed newly arrived European immigrants to the United States in 1889 is known as Hull House. There were also social, educational, and artistic initiatives for immigrants in this building.
Case 2: Muckrakers A name used to describe a group of North American journalists in the early 20th century who made public criticisms of: government corruption, abuse of labor is destructive to society and is committed by influential people or institutions of the time.
Case 3: Third, the term "Protestantism" is used to describe a variety of 16th-century religious movements. Because the Catholic Church had a different understanding of the Bible's holy texts, this movement was distinguished by its break with it.
Case 4: The 19th Amendment to the United States Constitution, which was adopted in June 1919, guaranteed every American woman the right to vote.
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The complete question is-
Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the
descriptions
Tiles;
Hull House
Muckrakers
Protestants
Women's Suffrage
Pairs;
Investigative journalists
Temperance Movement
Neighbourhood assistance
Nineteenth Amendment
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 ft to 36 ft
Answer:
Step-by-step explanation:
The easiest way to do this is to clear the decimal by multiplying the numerator and the denominator by
10
.
You can reduce the fraction later.
40
m
48
m
2) Reduce the fraction to its simplest form
Cancel out
8
from the top and the bottom
5
m
6
m
←
answer
This answer means that the numerator and denominator of the given fraction
4
m
4.8
m
are in a
5
:
6
ratio relationship with each other.
Check
Is
4
4.8
equal to
5
6
?
Cross multiply
(
4
)
(
6
)
should be equal to
(
5
)
(
4.8
)
24
is equal to
24.0
C
h
e
c
k