A teacher wrote the following set of numbers and asked students to label the set based on all of the items in the set. (-36, -15, 9/100, 9/4, 10, 25)Which of the following correctly labels the set of numbers above?A.IntegersB.Natural numbersC.Rational numbersD.Whole numbers
Answers
Answer:
Rational numbers
Explanation:
A rational number can be made by dividing two whole numbers.
So if we look at the given set of numbers below, they all can be written as fractions. For example,
-36 = -36/1
-15 = -15/1
10 = 10/1
(-36, -15, 9/100, 9/4, 10, 25)
Related Questions
consider the quadratic equation x^2 + 8x + k = 0 where k is a constant
Answers
Answer:
K = 16
Step-by-step explanation:
Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answers
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
Suppose we randomly select a coffee drinker. Let C be
the event that the coffee drinker uses cream and S be
the event that the coffee drinker uses sugar.
What is the probability that a randomly selected coffee
drinker does not use sugar or cream?
What is the probability that a randomly selected coffee
drinker uses sugar or cream?
Answers
R a
Answer:
0.10 and 0.90 are the correct answers.
Step-by-step explanation:
find the GCF of 28 and 30
Answers
Answer:
4
Step-by-step explanation:
The biggest number that you can divide 28 and 30 is 4.
Answer:
Greatest common factor (GCF) of 28 and 30 is 2.
Step-by-step explanation:
You find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 30.
define petition and state 3 ways in which petitions from the youth can help improve service delivery in their communities
Answers
A petition is just a formal request outlining the grounds for requesting a court order. It is often the first stage of a lawsuit and can be filed by an individual, a group, or an institution.
Explain about the petitions and its features?A petition is a formal letter or written request asking someone or an organization to take a certain action or make a certain change.
The petition is typically signed by a number of people who agree with the subject or problem being raised.
Awareness-building: Petitions can help people learn more about the problems that young people in their communities are facing.Feedback: Petitions can give local authorities insightful information about the wants and concerns of young people in their communities.Petitions can be used as an advocacy tool to help young people express their needs and desires to people in positions of authority.know more about the petitions
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Help my son please!!!
Answers
Answer:
that makes no sence at all i read it over 3 times and still font understand a word of it
sorry :(
9. plsss help, will give brianlist
Answers
Answer:
\(1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2} \)
Step-by-step explanation:
1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run
2. we use the slope formula
\( \frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2} \)
3. pick any two points and apply the slope formula again
\(( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2} \)
The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02
Answers
Answer:
A. $0.89
Step-by-step explanation:
To find the constant of proportionality, find the cost of one pound of potatoes
3.56/4
= 0.89
So, the constant of proportionality is $0.89
The correct answer is A. $0.89
Answer please and explain
Answers
Rise : 2
Run : 3
Slope: 2/3
I think it should perpendicular because these lines are intersecting at the start point.
URGENT PLZ HELP
find measure angle LMN
Answers
Answer:
(14.3/(2*bi*h)) * 360
Use the calculator
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ф = s / r
Ф = 14.3 / 5
Ф = 2.86 radians
2.86 * 180 / \(\pi\) = 163.865924 °
I need help with this
Answers
Answer:
A.
Step-by-step explanation:
I gotchu fam. The first thing that you would want to do is find the slope. The slope is the change in y divided by the change in x. Based on the points on the line, the change in y is 2 because it goes up two, and the change in x is one because it goes over 1. This would make your slope 2/1, or just 2! Now we have our slope, so we want to find our y-intercept. There are two ways that we can do this. The first way is just eyeballing it, but sometimes that's not always accurate. We're just going to do that because its faster (lol). It looks around -2. With this information, we have our entire equation! y=mx+b. we can plug in our information. y=2x-2. And that's how your answer's A! Hope this helps.
A spherical balloon is being inflated at a rate of 8 cm³s-1. Find the rate of change of the surface area when the radius is 10 cm.
Answers
Answer:
1.6
Step-by-step explanation:
Firstly, we know the rate of change of volume \(v'=8\).
The equation for surface area is: \(A = 4\pi r^2\).
The derivative (rate of change) is then: \(A'=8\pi r*r'\)
The equation of the volume of a sphere is: \(V=\frac{4}{3}\pi r^3\).
The derivative (rate of change) is then: \(V' = 4\pi r^2 * r'\).
This means that \(r'=\frac{V'}{4\pi r^2}\).
We can then plug that into our equation for \(A'\) and get:
\(A'=8\pi r*\frac{V'}{4\pi r^2}=2*\frac{V'}{r}\)
After that, we can just plug in:
\(2*\frac{8}{10}=1.6\)
A student says that the larger the absolute value of r is, the greater the probability that a change in the explanatory variable will cause a change in the response variable. What would you tell the student?
Answers
Answer:
Step-by-step explanation:
The student has a valid point but here's what I would tell him or her:
The larger the absolute value of r, the greater the probability that an increase in the value of the explanatory variable will cause an increase in the value of the response variable.
"r" here represents the correlation coefficient (Pearson's correlation coefficient) which shows the direction and strength of relationship between two variables.
The explanatory variable is the independent variable. It is the variable that places an effect on the other.
The response variable is the dependent variable. It is the variable which is observed for an effect.
When r is positive, it means that both variables move (increase or decrease) in the same direction. When the absolute value of r is large, it shows a great magnitude of change.
The r value is the correlation coefficient which gives the strength and direction of the relationship between two variables. Hence, the absolute value of r could tell the probability of change in the dependent variable due to the response variable.
The Correlation Coefficient, r, is a measure of how strong and the nature of the association between two variables. Since the correlation Coefficient shows how changes in one variable affects the other, then we can deduce that greater values of r will lead to an increased probability of change.Since, r values can be either positive or negative, the absolute value of r should be considered for negative association.
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Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
Answers
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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Cotton On Ltd. currently has the following capital structure: Debt: $3,500,000 par value of outstanding bond that pays annually 10% coupon rate with an annual before-tax yield to maturity of 12%. The bond issue has face value of $1,000 and will mature in 20 years. Ordinary shares: $5,500,000 book value of outstanding ordinary shares. Nominal value of each share is $100. The firm plan just paid a $8.50 dividend per share. The firm is maintaining 4% annual growth rate in dividends, which is expected to continue indefinitely. Preferred shares: 45,000 outstanding preferred shares with face value of $100, paying fixed dividend rate of 12%. The firm's marginal tax rate is 30%. Required: a) Calculate the current price of the corporate bond? (4 marks) b) Calculate the current price of the ordinary share if the average return of the shares in the same industry is 9%? (3 marks) c) Calculate the current price of the preferred share if the average return of the shares in the same industry is 10% (3 marks)
Answers
Answer:
a) Calculate the current price of the corporate bond? (4 marks)
$818,18b) Calculate the current price of the ordinary share if the average return of the shares in the same industry is 9%? (3 marks)
$176.80c) Calculate the current price of the preferred share if the average return of the shares in the same industry is 10% (3 marks)
$120Step-by-step explanation:
total debt = $3,500,000 par value 10$ coupon with a YTM of 12%
YTM = [coupon + (F - P)/n] / [(F + P)/2]
0.12 = [100 + (1,000 - P)/20] / [(1,000 + P)/2]
0.12(500 + 0.5P) = 100 + 50 - 0.05P
60 + 0.06P = 150 - 0.05P
0.11P = 90
P = 90/0.11 = $818.18
total debt = $818.18 x 3,500
stock price:
Div₀ = $8.50
Div₁ = $8.50 x 104% = $8.84
g = 4%
rrr = 9%
using the perpetuity growth model:
stock price = $8.84 / (9% - 4%) = $8.84 / 5% = $176.80
preferred stock:
Div = $12
rrr = 10%
using the perpetuity formula:
preferred stock = $12 / 10% = $120
Which interval notation represents the set of all numbers from o to 11, inclusive?
(0,11]
[0, 11]
(0,11)
[0,11)
Answers
Answer:
[0,11]
Step-by-step explanation:
Required
Represent Set of numbers from 0 to 11
In interval notation; the square bracket [ ... ] implies that the number in question is inclusive of the set.
So; Given that
Beginning = 0
End = 11
The interval notation can be represented as [0,11] because both numbers are inclusive of the set.
In this lesson, you explained how acts, scenes, and stanzas work together to provide structure and meaning in a drama or poem. Explain how you can apply what you've learned to other dramas and poems you read.
Answers
Answer:
The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.
(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)
write a quadratic function f whose only zero is 11
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Here's the solution ~
To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !
Since our only root is 11 here, we have to do t double
\(\qquad \sf \dashrightarrow \:(x - 11)(x - 11)\)
\(\qquad \sf \dashrightarrow \: {x}^{2} - 11x - 11x + 121 \)
\(\qquad \sf \dashrightarrow \: {x}^{2} - 22x + 121\)
That's our required function ~ I hope you understood the whole thing !
two auto manufacturers have introduced cars with the same size engines. we'd like to know which brand will get better gas mileage. we obtain eight cars of each make. from a pool of drivers, a driver is randomly assigned to one of each type of car. the correct test to use with these data is a pairs test.
Answers
The difference in the mean of the two major automobile manufactures is equal to option c. 2.0.
As given in the questions,
Number of samples selected for each manufactures = 8
For manufacturers A :
Mean of manufacturer A
=(Sum of all the eight data) / ( Number of data)
= ( 32+ 27 + 26 + 26 + 25 + 29 + 31 + 25 ) / 8
= 221 / 8
= 27.625
Mean of manufacturer B
=(Sum of all the eight data) / ( Number of data)
= ( 28 + 22 + 27 + 24 + 24 + 25 + 28 + 27 ) / 8
= 205 / 8
= 25.625
Difference in the mean of manufacturer A and B
= 27.625 - 25.625
= 2.0
Therefore, the difference in the mean of both manufacturer is given by Option C. 2.0.
The complete question is :
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed.
Driver Manufacturer A Manufacturer B
1 32 28
2 27 22
3 26 27
4 26 24
5 25 24
6 29 25
7 31 28
8 25 27
A) The mean for the differences is __________
a. 0.50 b. 1.5 c. 2.0 d. 2.5
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lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
Answers
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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park rangers released 4 fish into a pond,
Answers
Not sure how to answer this but I would like to help you just need to be more specific with your question
pls pls pls help i am terrible at math.
where do the points go?
Answers
Answer:
I presume that 10x would be on the x axis to the right of 0.
-7y would be on the y axis under 0. Therefore in between -6 and -8
You might know this but very important
X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)
Convert .805 liters to millimeter s
Answers
(Enter as a
If there are 60 minutes in an hour, then 3 minutes is what fraction of an hour?
reduced fraction or whole number.)
Answers
Verify if : (-30) x ( 13.+ (-3)] =[(-30) x 13] + [(-30) (-3)]
Answers
T= 10/13
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Answers
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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help please please please
Answers
Answer:
they are both going in the same dirrection but this does not mean they are parrallel or perpendicular.
Step-by-step explanation:
So just say neither
Answer:
they are not parallel nor perpendicular to each other i am assuming you can write out the full sentsentence your self
Step-by-step explanation:
#8 iFind the measure of arc EBD.The measure of arc EBD isEIdentify the given arc as a major arc, minor arc, or semicircle.A110⁰70 F45°65°arc EBD70°CBOMajor ArcMinor Arc Semicircle
Answers
So, we have the following arc:
It is a major arc since it follows the order.
To calculate it, we need to sum the arc measure inside of the major arc.
So: 70 + 110 + 70 + 65 = 315º
Aunt Penny is making strawberry jam. She has 4 containers of
strawberries. Container A has 4/8 of a pound. Container Bhas 2/8 of a
pound, Container C has 5/8 of a pound and Container D has 6/8 of a
pound. How many pounds of strawberries does Aunt Penny have?
Represent your answer as a mixed number.*
Answers
Answer:
2 whole and 1/8
Step-by-step explanation:
Find out the total pounds of strawberries for the 4 containers.
4/8 + 2/8 + 5/8 + 6/8 = 17/8
17/8 = 2 whole and 1/8
Answer:
2 1/8
Step-by-step explanation:
4/8+2/8+5/8+6/8=17/8
17/8 as a mixed number is 2 1/8
if 6a/2=12, then a =
Answers
Answer:
a = 4
Step-by-step explanation:
Multiply by 2 on each side
6a = 24
a = 4