Tell which set or sets the number 2/9 belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 2/9 Select all that apply. A. Whole numbers B. Rational numbers C. Irrational numbers D. Natural numbers E. Real numbers F. Integers
Answers
Answer:
B and E
Step-by-step explanation:
2/9 is a fraction, so it belongs in the rational numbers set. The rational numbers set is part of the real numbers set, so 2/9 belongs there, too.
Related Questions
a park has a 3 33 meter ( m ) (m)(, start text, m, end text, )tall tether ball pole and a 6.8 m 6.8m6, point, 8, start text, m, end text tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths of the shadows?
Answers
The lengths of the shadows are:
B. x = 1.8 m, y = 4.08 m
D. x= 0.6 m, y= 1.36 m
Which could be the lengths of the shadows?The relationship between the height and shadow length is a direct proportion. That is, the higher the height, the longer the shadow and vice versa. The ratio of height to shadow length is a constant.
Thus, if x and y are are the length of shadow of tether ball pole and flagpole receptively.
6.8/y = 3/x
y = 6.8x/3
A. When x = 1.35 m
y =(6.8*1.35)/3 =3.06 m
B. When x = 1.8 m
y= (6.8*1.8)/3 = 4.08 m
C. When x= 3.75 m
y=(6.8*3.75))/3 = 8.5 m
D. When x= 0.6
y= (6.8*0.6)/3 = 1.36 m
E. When x=2
y= (6.8*2)/3 = 4.533 m
Therefore, B and D are the true answers.
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Complete Question
See attached image
Simplify the expression.
16-4[3+2÷(9-7)]
A) 0
B) 6
C) 30
D) 64
![Simplify the expression.16-4[3+2(9-7)]A) 0B) 6C) 30D) 64](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/FGblmUpunsPalZ0qb8zNEivg731H8Qad.jpeg)
Answers
please branliest if correct
It is 0 (A)
16-4(3+2:2)
16-4(3+1)
16-4 x 4
16-16=0
Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
Answers
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
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Complete solution please There are three types of grocery stores in a given community. Within this community there always exists a shift of customers from one grocery store to another. On January 1, % shopped at store 1, 1/3 at store 2 and 5/12 at store 3. Each month store 1 retains 90% of its customers and loses 10% of them to store 2. Store 2 retains 5% of its customers and loses 85% of them to store 1 and 10% of them to store 3. Store 3 retains 40% of its customers and loses 50% to store 1 and 10% to store 2. a) Find the transition matrix b) What proportion of customers will each store retain by April 1 and June 1. c) Assuming the same pattern continues, what will be the long-run distribution (equilibrium) of customers among the three stores? d) Prove that an equilibrium has actually been reach in part (c)
Answers
Transition matrix We are given that the proportion of customers who shop at store 1, store 2 and store 3 on January 1 are respectively 0.3, 0.33 and 0.4166666666666667. Therefore, the equilibrium has been reached.
In other words, we have to find a vector x such thatAx = xwhere A is the transition matrix.
This is equivalent to solving the system of equations:(0.3716666666666667)x1 + 0.29625x2 + 0.25333333333333335x3
= x1(0.9) + x2(0.05) + x3(0.1)(0.05)x1 + 0.85x2 + 0.4x3
= x1(0.1) + x2(0.85) + x3(0.05)(0.05)x1 + 0.1x2 + 0.5x3
= x1(0.5) + x2(0.1) + x3(0.4)
Solving this system of equations,
we getx1
= 0.33027522935779817x2
= 0.30184331797235023x3
= 0.3678814526698518.
Therefore, the long-run distribution of customers among the three stores is
[0.33027522935779817 0.30184331797235023 0.3678814526698518].d)
Prove that an equilibrium has been reached The equilibrium has been reached if the proportion of customers who will shop at each store in the long-run is unchanged when multiplied by the transition matrix.
We can check if this is true by multiplying the long-run distribution vector by the transition matrix and verifying that it is equal to the long-run distribution vector.
We have
A[0.33027522935779817 0.30184331797235023 0.3678814526698518]
= [0.33027522935779817 0.30184331797235023 0.3678814526698518].
Therefore, the equilibrium has been reached.
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3) 8x + 6y = 10 -8x + 6y = 2 Which statement about the system of equations is true? A) The system has exactly 1 solution B) The system has many solutions C) The system has no solution D) The system has exactly 2 solutions 3 3
Answers
Answer:
A. Exactly one solution
Step-by-step explanation:
8x+6y=10
-8x+6y=2
0+12y=12 added two equations together
12y=12
y=1
solve for x
8x+6y=10
8x+6(1)=10
8x=4
x=1/2
12x squared minus 13x plus 3
Answers
Answer:
12x^2 - 13x + 3 is a quadratic equation in the standard form ax^2 + bx + c, where a = 12, b = -13, and c = 3. This equation can be factored, completed the square or used the quadratic formula to find the solutions of x.
Instructions: Write the equation for the following
function. Do not use any spaces in your answer.
X
0
1
2
-1
y
0
-2
-4
-12
Y=
Answers
The function of the given data would be F(x) = y = 4x.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
X(input) Y ( output)
0 0
1 4
2 8
3 12
We can see that
When the input is zero the output is also zero.
And when the input is some real number the output gives the multiple of 4.
Thus, The function could be
f(x) = 4x
The given function is represented by x as the independent variable.
Therefore, The function of the given data would be F(x) = y = 4x.
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IMPORTANT PLEASE HELP QUICK!!!
How would you graph the result of -3 + 5 as a point on the number line? 1.eight places to the right of zero 2.eight places to the left of zero 3.two places to the right of zero 4.two places to the left of zero day
Answers
Answer:
3. two places to the right of zero
Step-by-step explanation:
-3 + 5 = 2. On a graph, you always move right along the x axis for positive numbers, and left for negative numbers.
2. how are <1 and <2 related ?
Answers
Answer: vertical angles
Step-by-step explanation:
Which of the following functions is graphed below?
Answers
The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
What is the function about?The function graphed above is Y=|x+4|-2 because when you solve for the graphs, the number in the x-axis is always changed or turned to the other side and there one can see that it would be -4 would be +4, and +4 and also -4.
Note that
Y = (x+4) -2.
x = (0 + 4) - 2
x = 4-2
x =2
Therefore, plug x into the equation.
Y = (x+4) -2.
= ( 2 + 4) - 2
= (6) -2
= 4
Therefore, The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
See full question in the image attached.
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Duing his leg, musher Charlie Olson’s sled overturned. He got frostbite trying to get his sled and the vials back together. Frostbite occurs when skin is exposed to temperatures -15ºF or lower for too long. At that point in the race, the windchill temperature was 55º colder than the warmest temperature at which frostbite occurs. What was the windchill temperature?
Answers
= - 70 °F
what’s the slope and y - intercept of this equation ?
Answers
Answer:
The slope is -4/3 and the y-intercept is 1.
Step-by-step explanation:
The equation is written in y=mx+b form, where m is the slope and b is the y-intercept.
Answer:
Answer is:
Y=-1/3
Explanation....
2. Solve for x, y, and z
Answers
Answer:
x=90
y=45
z=45
ok but i am not sure at all please confirm
At what value(s) of X on the curve y = 3 + 40x^3 - 3x^5 does the tangent line have the largest slope? Answer (separate by commas): x =
Answers
The tangent line has the largest slope at x = -2√2 and x = 2√2.
To find the value(s) of X on the curve \(y = 3 + 40x^3 - 3x^5\) where the tangent line has the largest slope.
Differentiate the function y with respect to x to find the slope of the tangent line.
Find the critical points by setting the first derivative equal to zero and solving for x.
Determine the second derivative to test for concavity and find the largest slope.
Differentiate the function y with respect to x.
y =\(3 + 40x^3 - 3x^5\)
dy/dx = \(120x^2 - 15x^4\)
Find the critical points by setting the first derivative equal to zero and solving for x.
\(120x^2 - 15x^4 = 0\)
\(15x^2(8 - x^2) = 0\)
x = 0, x = ±2√2
Determine the second derivative to test for concavity and find the largest slope.
d²y/dx² =\(240x - 60x^3\)
d²y/dx² (0) = 0
d²y/dx² (±2√2) = -1920
Since the second derivative at x = ±2√2 is negative, this means the function is concave down at these points, and the
tangent line has the largest slope at these values.
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What are the degrees of freedom for the F test in a one-way ANOVA? 0A (n - c) and (c ~ 1) 0 B. (c ~ 1) and (n ~c) 0 C (n - 1) and (c-n) 0 D. (c - n) and (n - 1)
Answers
The degrees of freedom for the F test in a one-way ANOVA are D. (c - n) and (n - 1).
The numerator degrees of freedom (c - n) is the number of groups (c) minus the number of observations in each group (n). The denominator degrees of freedom (n - 1) is the total number of observations (n) minus the number of groups (1). These degrees of freedom are used to calculate the F statistic, which is used to determine if there is a significant difference between the means of the groups. The degrees of freedom for the F test in a one-way ANOVA are given by two values. The first value represents the degrees of freedom between groups (DFbetween), and the second value represents the degrees of freedom within groups (DFwithin). The correct is B. (c - 1) and (n - c), where 'c' represents the number of groups (categories) and 'n' represents the total number of observations (data points) in the dataset.
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the prime factorization of 816
Answers
Answer:
2^4*3*17
The biggest prime factors are 2, 13 and 17.
Step-by-step explanation:
it goes like this :
we start with 2 as the smallest prime number (and then go up to the next and the next prime number to check if it is a factor), and we end, when we reach 1 as final result.
816 ÷ 2 = 408
408 ÷ 2 = 204
204 ÷ 2 = 102
102 ÷ 2 = 51
51 ÷ 2 no
51 ÷ 3 = 17
17 ÷ 3 no
17 ÷ 5 no
17 ÷ 7 no
17 ÷ 11 no
17 ÷ 13 no
17 ÷ 17 = 1 finished
so,
816 = 2⁴×3×17
remember, we are looking only for prime numbers as factors. so, e.g. 9 or 15 are not prime numbers.
1. What does the mean of a dataset represent? What does knowing
the standard deviation of a
dataset add?
2. What is a p value? What is the meaning of a p value?
3. Define alpha. How is it related to p
Answers
1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.
A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.
2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.
It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).
3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.
If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.
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.) What is the unit rate in miles per gallon?
=
Answers
Answer:
25 miles per gallon 10 gallons is the UNIT RATE.
Jeremiah 28
What can you learn from Jeremiah and Hananiah that you can apply to your own life?
Answers
The main lesson of Jeremiah 28 is that rebellion against God is self-destructive.
What are the characteristics of God?God is omniscient (all-knowing), omnipotent (all-powerful), and omnibenevolent (supremely good).
Human beings must recognize that God is love, life, truth, and light.
It is sinful to offend God with lies or untruth, or distorting the above attributes of God.
Thus, the lessons from Jeremiah and Hananiah, according to Jeremiah 28, that one can apply to their own life are to obey, acknowledge, and praise God in all our undertakings, living always in the light of Truth.
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8/15 as a decimal rounded to the nearest hundreth
Answers
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
(10,-1) (-8,-6)
(-2,-5) (-6,-7)
(-8,-9) (0,1)
DOMAIN
RANGE
please help
Answers
Given the set of coordinates {(10,-1), (-8,-6), (-2,-5), (-6,-7), (-8,-9), (0,1)}, we can determine the domain and range of the set. The domain is the set of all x-coordinates, while the range is the set of all y-coordinates.
To find the domain and range of the set of coordinates, we can separate the x-coordinates and y-coordinates into two separate sets. The set of x-coordinates is {10, -8, -2, -6, -8, 0}, while the set of y-coordinates is {-1, -6, -5, -7, -9, 1}.
The domain is the set of all x-coordinates, which in this case is {10, -8, -2, -6, -8, 0}. The range is the set of all y-coordinates, which in this case is {-1, -6, -5, -7, -9, 1}.
Therefore, the domain of the set is {10, -8, -2, -6, -8, 0}, and the range of the set is {-1, -6, -5, -7, -9, 1}. Knowing the domain and range of a set of coordinates can be useful in determining the extent of the values represented in the set, and can help in visualizing the data on a graph.
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A group would like to estimate the percentage of town residents who would support a teen curfew.
Which statement describes a method that will help the group accurately estimate this percentage?
Responses
Take a random sample of residents in the town, and ask each resident in the sample whether or not they support a teen curfew. Then calculate the percentage of the total who say "yes."
Take a random sample of residents in the town, and ask each resident in the sample whether or not they support a teen curfew. Then calculate the percentage of the total who say "yes."
Identify all nearby towns that have a teen curfew. Contact the mayor of each of those towns and ask whether he or she thinks the curfew is a good policy. Calculate the percentage of the total who say "yes."
Identify all nearby towns that have a teen curfew. Contact the mayor of each of those towns and ask whether he or she thinks the curfew is a good policy. Calculate the percentage of the total who say "yes."
Contact every parent who lives in the town and ask whether they support a teen curfew. Calculate the percentage of the total who say "yes."
Contact every parent who lives in the town and ask whether they support a teen curfew. Calculate the percentage of the total who say "yes."
Take a random sample of towns in the state. Ask an administrator in the city office whether the town has a teen curfew, and then calculate the percentage of the total who say "yes."
Answers
Answer:
The first statement is the correct method to estimate the percentage of town residents who would support a teen curfew. This is because a random sample will ensure that the results are representative of the entire population. The other statements are not as accurate because they do not involve a random sample. For example, the second statement only asks the mayors of nearby towns, which may not be representative of the entire population. The third statement only asks parents, which may not be representative of the entire population. The fourth statement asks administrators in city offices, which may not be representative of the entire population.
Here are some other things to consider when estimating the percentage of town residents who would support a teen curfew:
* The size of the sample: The larger the sample, the more accurate the results will be.
* The method of sampling: The random sample should be representative of the entire population.
* The questions asked: The questions should be clear and concise, and they should be answered in a way that is easy to interpret.
* The way the results are analyzed: The results should be analyzed using statistical methods that are appropriate for the data.
Vada places a box of toys and a box of books together. The box of toys has a length of 5 feet, a width of 3 feet, and a height of 2 feet. The box of books has a length of 6 feet, a width of 4 feet, and a height of 2 feet. What is the combined volume of the boxes?
Answers
Answer:
78 ft cubed
Step-by-step explanation:
First calculate the volume of the toys...
5 x 3 x 2 = 30
Now the book boxes...
6 x 4 x 2 = 48
30 + 48 = 78
The combined volume should be 78 feet cubed! hope this helps!!!
Answer:
78 ft³
Step-by-step explanation:
Volume of a rectangular prism = length × width × height
Toy Box
length = 5 ftwidth = 3 ftheight = 2ft⇒ volume = 5 × 3 × 2 = 30 ft³
Book Box
length = 6 ftwidth = 4 ftheight = 2 ft⇒ volume = 6 × 4 × 2 = 48 ft³
Total combined volume = 30 + 48 = 78 ft³
Explain how you know the
measure of angle ABC
Sentence Frame
Angle ABC =
angle ABC is
because...
degrees,
degrees
E
A
B
40°
D
C
Answers
Answer:
The answer is in the attached screenshot!!! :)
Step-by-step explanation:
Please let me know if you have any questions!!! :)
if A=(-2,-4) and B=(-8,4) what is the length of AB
16 units
12 units
14 units
10 units
Answers
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a fair coin is tossed 2 times in succession. the set of equally likely outcomes is . find the probability of getting at least one tail.
Answers
Why:
The only way in which at least one tail will not occur is if both tosses give heads.
S=HH,HT,TH,TT
The probability of this is the probability of a single head multiplied by itself.
The probability of this is approximately 1/2, so the probability of two in a row is:
1/2 x 1/2 = 1/4
If the probability of getting no tails is 1/4, the probability of getting at least one tail is:
1 - 1/4 = 3/4
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a for estimating the total output of wheat, in tons, in 2015?
A. 20 + 10 + 5
B. 20(10)(5)
C. 20 + 1.1 + 1.05
D. 20(1.1)(1.05)
Answers
Answer: Choice D
Explanation:
The increase of 9.8% rounds to 10% when rounding to the nearest ten
An increase of 10% would use the multiplier 1.1
Think of it like saying 1 + 0.10 = 100% + 10%
Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05
So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).
¿Cuánto es 15% de 3 000?
Answers
gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast (in ft/min) is the height of the pile increasing when the pile is 11 ft high? (round your answer to two decimal places.)
Answers
Answer:
0.21ft/min
Step-by-step explanation:
\(\sf Volume \ at \ given \ time = \dfrac{dV}{dt}= 20 \ cubic \ feet /min\)
h = d
h = 2r
\(\sf r = \dfrac{h}{2}\)
Volume of heap = (1/3) πr²h
\(\sf V =\dfrac{1}{3}\pi r^2h\\\\V =\dfrac{1}{3}\pi (\frac{h}{2})^2h\\\\V =\dfrac{1}{3}\pi \dfrac{h^2}{4}*h\\\\V=\dfrac{1}{12}\pi h^3\)
Take derivative w.r.t time,
\(\sf \dfrac{dV}{dt}=\dfrac{1}{12}\pi * 3h^2 \dfrac{dh}{dt}\)
h = 11 ft
\(\sf 20 = \dfrac{1}{12}\pi *3*11*11*\dfrac{dh}{dt}\\\\20=\dfrac{121}{4}\pi \dfrac{dh}{dt}\\\\\)
\(\sf \dfrac{20*4}{121*\pi }=\dfrac{dh}{dt}\\\\ \dfrac{80}{120*3.14}=\dfrac{dh}{dt}\)
\(\sf \dfrac{dh}{dt}=0.21\)
The height is increasing at the rate of 0.21 ft/min
AABC has vertices (-6,2), B (5,-1), and C (4,4). Classify AABC by its sides. Then determine whether it is a right triangle. (Hint: Draw the picture).
Answers
AABC is a scalene triangle and not a right triangle.To classify AABC by its sides, we need to examine the lengths of its sides. Using the distance formula, we can calculate the lengths of the three sides:
Side AB:
\(\sqrt (-6 - 5)^2 + (2 - (-1))^2] = \sqrt 11^2 + 3^2] = \sqrt(121 + 9) = \sqrt130\)
Side BC:
\(\sqrt(5 - 4)^2 + (-1 - 4)^2] = \sqrt1^2 + (-5)^2] = \sqrt(1 + 25) = \sqrt26\)
Side AC:
\(\sqrt(-6 - 4)^2 + (2 - 4)^2] = \sqrt(-10)^2 + (-2)^2] = \sqrt(100 + 4) = \sqrt104 = 2\sqrt26\)
Now, comparing the lengths of the sides, we find that AB ≠ BC ≠ AC. Since none of the sides are equal, AABC is classified as a scalene triangle.
To determine whether AABC is a right triangle, we can examine its angles. We can calculate the slopes of the sides to determine the relationship between them:
Slope AB = (2 - (-1))/(-6 - 5) = 3/(-11)
Slope BC = (4 - (-1))/(4 - 5) = 5/(-1)
Slope AC = (4 - 2)/(4 - (-6)) = 2/10 = 1/5
Since the slopes of the sides are not negative reciprocals of each other, the angles of AABC are not 90 degrees. Therefore, AABC is not a right triangle.
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