Answer:
It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
Step-by-step explanation:
The given number can be expressed as:
\(\frac{30}{2} = 15\)
Then is contained in all the set an exception of irrational and complex numbers.
The set of natural numbers is:
\(\mathbb{N} = \{1,2,3,\cdot \cdot \cdot \infty\}\)
Then 15 \(\in \mathbb{N}\)
The set of whole number is the same but with 0, then also is inside that set.
The set of integers is:
\(\mathbb{Z} = \{ -\infty, \cdot \cdot \cdot, -2,-1,0,1,2,\cdot \cdot \cdot ,\infty\}\)
And at the same time contain the set of whole and natural numbers then 15 is also in the integers.
And the set of rational numbers is:
\(\mathbb{Q} = \{ -\infty, \cdot \cdot \cdot, -2, -1,-\frac{1}{2},0,\frac{1}{2} , 1,2,\cdot \cdot \cdot ,\infty\}\)
And at the same time contain the set of whole, natural numbers and integers then 15 is also in the rational numbers.
Now 15 is not an irrational number because don't have a infinity growth of numbers after the decimal point and neither complex because isn't in the options.
What is the solution to the equation
2x=5
Answer:
5/2 or 2.5
Step-by-step explanation:
Divide both sides by 2.
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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Help guyssssssssssssss
Answer:
1
Step-by-step explanation:
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50,
a 35% chance it will be worth $60 and a 25% chance it will be worth $70. What expected value
does this broker assign to this stock's end-of-the-year price?
The expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Using this formula
Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70
Where:
Stock worth at $50=40% chance
Stock worth at $60=35% chance
Stock worth at $70=25% chance
Let plug in the formula
Expected value=(40%×$50)+($35%×$60)+($25%×$70)
Expected value=$20+$21+$17.5
Expected value=$58.50
Inconclusion the expected value that this broker assign to this stock's end-of-the-year price is $58.50.
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The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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You measure a foam roller in the shape of a cylinder. The foam roller has a diameter of 5.9375 inches and a height of 53.5 inches. About how many cubic inches of foam were used to make the roller?
Answer:
Volume V ≈ 1481.3269 cubic inches
Step-by-step explanation:
Volume V of a cylinder is given by the formula
V = πr²h where r = radius of the base of the cylinder and h the height
Here we are given the diameter, d = 5.9375 inches
Radius r = d/2 = 5.9375/2 = 2.96875 in
Height h = 53.5 in
V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches
Answer V ≈ 1481.3269 cubic inches
Which expression is equivalent to 4(x+2)
Answer:
4x+8
Step-by-step explanaztion:
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
y=x^2-6x+7 write equation in vertex form
Answer:
y=(x−3)2−2
Step-by-step explanation:
The vertex form of a quadratic function isy=x^2-6x+7 , where x, y, are constants. of the parabola is at (x, y).
Clay puts $50 on his bus pass. Every time he rides the bus, $3.00 is deducted from his pass. How much money is left on his pass after he takes 9 buss rides?
Answer:
23$ is left on his pass
Step-by-step explanation:
9x3=27 50-27=23
there appears to be a strong positive correaltion between the number of firefighters at a fire and the amount of damage the fire does choose the statemnt that is most likely true a, b, or c? a. We should assign fewer firefighters to a fire to decrease the amount of fire damage. b. The more firefighters present, the less damage a fire is likely to cause. C. Bigger fires cause more fire damage and more firefighters are likely to be present at bigger fires.
The relationship between the quantity of firemen and the amount of damage brought on by a fire is, in fact, created by a third party. Thus, choice A is the best one.
Firefighter
A fireman is a first responder and rescuer who has received significant training in firefighting. They are primarily responsible for putting out dangerous flames that endanger life, property, and the environment as well as for rescuing humans and, in some circumstances, animals from perilous situations.
The third aspect
The numbers that divide 3 in three equal parts with no remainders are known as its factors. As is well known, the earliest odd prime number is three. The three components and their pair can be expressed in both good and negative ways. For illustration, the pair factor of 3 is shown.
It is true to say that a third party is to blame for the correlation between the number of firefighters and the amount of damage a fire causes. So, option A is the best choice.
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The factors of 3 are the numbers that split it into three equal pieces with no remainders. The oldest odd prime number is three, as is common knowledge. The three elements and their paired expressions have both positive and negative connotations. The pair factor of three is displayed as an illustration.
It is accurate to say that there is a third party at fault for the association between the quantity of firefighters and the scope of a fire. As a result, option A is the best one.
find the inverse of -3y+5x=18
Answer:
-3x +5y = 18
Step-by-step explanation:
The inverse relation is found by swapping x and y.
How many apples are left after disturbing 17985 apples for 134 person?
Final question no more lives
who ever gives me correct answer will get brainliest
The time take to fill the pool will be 494 hours.
How to calculate the TimeInlet pipe fills in 38 hours = 1 pool
Inlet pipe fills in 1 hours = 1/38
Drain pipe empty in 39 hours = 1 pool
Drain pipe empty in 1 hour = 1/39
If both pipes are opened together then in pool fills in 1 hour = 1/38 - 1/39
= 1/1482
Therefore, 1/1482 fills in 1 hour.
. Therefore, 1/3 will be:
= 1/3 × 1482
= 494 hours.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
What is the graphical solution to a systems of equationsThe graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.
If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.
In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
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Change into passive voice a. They bring food for us.
Answer:
Food is brought for us by them.
Answer:
Food is brought for us by them.
Step-by-step explanation:
A full waterbed mattress is 7’ x 2’ x 2’. The mattress is to be filled with water that weighs 62.4 pounds per cubic foot find the weight of the water in the mattress to the nearest pound.
weight of the water in the mattress to the nearest pound is 1747 pounds.
What is cube ?in geometry, a cube is a three-dimensional solid object bounded have six square faces, facets or sides, with three meeting at each vertex.
The volume of the waterbed mattress can be calculated
by multiplying its length, width, and height:
7 feet x 2 feet x 2 feet = 28 cubic feet
The weight of the water in the mattress can be calculated by multiplying the volume of water by its density of 62.4 pounds per cubic foot:
28 cubic feet x 62.4 pounds per cubic foot = 1747.2 pounds
Rounding to the nearest pound gives a final answer of 1747 pounds. Therefore, the weight of the water in the mattress to the nearest pound is 1747 pounds.
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help please 40 points answer correct please
Answer:
bballs: 8*2+2=18
baseballs: 5*8-4=36
softballs: 36/2+6=24
Step-by-step explanation:
easy Hope this helps!
Given the side lengths 9.5 cm, 7.5 cm, and 10 cm, can they form a triangle and if so, what type of triangle?
Answer:
this number 6
Step-by-step explanation:
yes self 4
Answer:
yes
Step-by-step explanation:
because if you add correctly you will get the answer
Please awnser asap I will brainlist
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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What is the monthly payment for a $14,000 loan for 6 years with an annual interest rate of 3.1%?
Answer:
Calculate the monthly and total repayment cost of your personal loan using the ... 1 year, 2 years, 3 years, 4 years, 5 years, 6 years, 7 years, 8 years, 9 years ... annual interest rates (APRs), you can see how your monthly loan repayments ... We compare loans that can be paid back over terms of between one and 25 years.
pls help:( i’ll mark brainlest!
Answer:
\(\sqrt{26}\)
Step-by-step explanation:
3 cousins are named Jasmine and Kyra and Louisa.
Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.
How old is Jasmine?
How old is Kyra?
How did you solve this mystery?
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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please help ASAP 83 points for all the questions
Answer:
no1
Step-by-step explanation:
I am not seeing it please it is blur
I NEED URGENT HELP PLSS
Answer:
try b or c hop this help have a good day
Answer:
D
Step-by-step explanation:
the answer is D.. nothing to say step by step
Solve for x.
x = [?]
4x - 16
2x + 16,
Answer:
Solution given:
4x-16+2x+16=180{linear pair are supplementary]
6x=180
x=180/6
x=30
is a required answer.
Is the following relation a function?
A. Yes
B. No
Answer:
yes
Step-by-step explanation:
it is a mapping function
One runner had a personal best time, and the other runner neither trained nor had a personal best time
While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.
The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.
On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.
In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
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