A monomial is an algebraic expression that consists of a single term. A monomial can contain constants and/or variables, which are multiplied together.
The expression 3x²y is a monomial. It contains the constant 3, the variable x squared, and the variable y. The variables can be raised to an exponent, as in this example; however, the exponent must be a whole number.A monomial can also contain coefficients, which are the numbers that are multiplied with a variable. In the example above, the coefficient is 3. If there is no coefficient stated, then the coefficient is assumed to be 1. Therefore, the expression x²y is also a monomial, with the coefficient being 1.Additionally, a monomial can contain a product of numbers and variables, such as the expression 2xyz. This is also considered a single term, since all of the numbers and variables are multiplied together.
Monomials can be used to calculate polynomials, which are algebraic expressions consisting of multiple terms. By adding, subtracting, and multiplying monomials together, you can create a polynomial. For example, the expression (3x²y) + (2xyz) is a polynomial, since it consists of two terms. The first term is the monomial 3x²y, and the second term is the monomial 2xyz.
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A bag contains 12 marbles. Three are green, 7 are orange, and 2 are white. A marble is randomly selected. What is the probability that it is not orange?
The probability that the bag is not orange is given as follows:
p = 5/12.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
In this problem, the parameters are given as follows:
A total amount of 12 marbles.A desired amount of 12 - 7 = 5 non-orange marbles.Hence the probability that the bag is not orange is given as follows:
p = 5/12.
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Lin rolls a six-sided number cube then chooses one card from a deck of three cards numbered 1 through 3. What is the probability that the number cube and the card have the same number?
The probability that the number cube and the card have the same number is 2/39.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Outcomes of cube = { 1, 2, 3, 4, 5, 6}
Outcome of Card = {1, 2, 3} from each group.
So, we have three number both in common as {1, 2, 3}
So, the probability that the number cube and the card have the same number is
= 1/6 x 16/52
= 8/156
= 2/39
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The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person. Deborah can’t spend more than $100. How many friends can she invite?
Answer:
she can only invite 20 people max
Step-by-step explanation:
2.50x20= 50 + fee =100
HELP DUE TONIGHT!
Find the volume of a cone with a base diameter of 6 in and a height of 6 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
The volume of the cone with a base diameter of 6in and height of 6in is 6π in³.
What is the volume of the cone?The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is radius of the base, h is the height of the cone and π is constant pi.
Given the data in the diagram;
Diameter d = 6inRadius r = diameter/2 = d/2 = 6in/2 = 3inHeight h = 6Volume V = ?Plug the given values into the above formula and solve for the volume of the cone.
V = (1/3) × π × r² × h
V = (1/3) × π × ( 3in )² × 6in
V = 18π/3 in³
V = 6π in³
Therefore, the volume of the cone is 6π cubic inches.
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Find the measure of
A. 63
The angle shown is 90 degrees, if you take 90 and subtract 27 you get 63.
Graph and find he area of the figure with vertices (-2, -2), (0, 0), (3, -2)
Answer:
see image,
Area = 5 units^2
Step-by-step explanation:
Graph three points to make a triangle.
Use
Area = 1/2•b•h
to find the area.
Fortunately, the base is horizontal and the height is vertical, so we can just count the squares to find those lengths. (If they aren't horizontal and vertical, then you need distance formulas)
see image.
HELP PLEASE i need the answer for as may as possible o have done the first two!!( A1 and A2) WITH AN EXPLANATION PLEASE IM SO CONFUSED
1. The values of x in the equation are 1 and 10.
2. The values of x are 1 and -4.
How to calculate the valuesAn equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
1. y = x²
y = 11x - 10
Combine both variables
x² - 11x + 10
x² - x - 10x + 10
x(x - 1) - 10(x - 1)
x - 10 and x - 1 = 0
x = 10 and 1
2. y = x².
y + 3x = 4
x² + 3x - 4
x² +4x - x - 4
x(x + 4) - 1(x + 4)
(x - 1)(x + 4)
x = 1 and -4
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an angle of a pentagon is 120 the other on angle are equal to one another find the side of the other angle
Answer:
105°
Step-by-step explanation:
You want the measure of the remaining angles of a pentagon if one of the angles is 120° and the remaining angles are congruent to each other.
PentagonThe sum of the interior angles of a pentagon is 180* × (5 -2) = 540°. If one of the angles is 120°, the sum of the other four is ...
540° -120° = 420°
Then each of those four congruent angles has a measure of ...
420°/4 = 105°
The size of the other angles is 105°.
Michelle sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Michelle's total earnings, y, from selling x bars of ice cream:
Ice Cream Sales and Earnings
Number of Bars Sold (x) Total Earnings (dollars) (y)
0
50
1
56
2
62
3
68
Which equation best shows the relationship between x and y? (1 point)
y = x + 50
y = 6x + 50
y = 6x + 56
y = x + 56
Answer:
y= 6x+50
Step-by-step explanation:
y= 6x+50
HELP DUE TONIGHT!
Find the volume of a cone with a base radius of 4 m and a height of 12 m. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
The volume of the cone is 64π
How to determine the volume of teh coneFrom the question, we have the following parameters that can be used in our computation:
Height, h = 12 m
Radius, r = 4 m
The volume is calculated s
V = 1/3πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 1/3π * 4² * 12
Evaluate
V = 64π
Hence, the volume is 64π
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How many feet apart is 535 and -8
Answer:
543 fee
Step-by-step explanation:
The difference between 535 and -8 is the distance between them, but it is not specified in what unit this distance should be measured. If you meant to find the difference in feet, then:
535 - (-8) = 535 + 8 = 543
So the distance between 535 and -8 in feet is 543 feet.
Camilla took a $23,500 secured auto loan that
allows her to make no payments for 18
months. If interest is still compounded
monthly at a rate of 6.3%, what will her
balance be in 18 months when she starts
making payments?
What is 7 Roman numbers?
Answer:
VII
Step-by-step explanation:
what is 1.18x4?
PLEASE I NEED HELP
Answer:
4.72
Step-by-step explanation:
for essy calculation remove the decimal point
[tex] \frac{0.18}{100} [/tex]
=
[tex] \frac{18}{100} [/tex]
then multiply by 4
you will get
[tex] \frac{18 }{25} [/tex]
= 4.72
Which choice is equivalent to the expression below?
√50 -√2
The simplified form of the expression √50 - √2 is 4√2.
What is the simplified form of the expression?Given the expression in the question;
√50 - √2
To evaluate, first we simplify each term
√50 - √2
Factor out 25 from 50
√( 25(2) ) - √2
Now, rewrite 25 as 5²
√( 5²(2) ) - √2
Take the square root of 5² to pull it out of the radical
5√2 - √2
Now, subtract √2 from 5√2
4√2
Therefore, the simplified form is 4√2.
Option C) 4√2 is the correct answer.
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Which statement describes the relationships between x and y in these two equations?
y = 13x
y = x + 13
In y = 13x, the value of y is 13 more than the value of x, and in y = x + 13, the value of y is 13 times the value of x.
In y = 13x, the value of y is 13 times the value of x, and in y = x + 13, the value of y is 13 more than the value of x.
In y = 13x and y = x + 13, the value of y is 13 times more than the value of x.
In y = 13x and y = x + 13, the value of y is 13 more than the value of x.
Which situation can be represented by y=12x?
Frank is y years old. This is half the age of his older sister, Margret, who is x years old.
Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars.
A recipe calls for x eggs. This is half the number of required bananas which is represented by y.
The town of Maryville has x people. This is half as much as the town of Sunnyside which as y people.
The statement that describes the relationship is: option B.
The situation that can be represented by the equation y = 12x is: B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."
How to Describe the Relationship between x and y in a n Equation?In the equation y = 13x, y is equal to 13 times x. This means that y increases by a factor of 13 for every increase in x.
In the equation y = x + 13, y is equal to x plus 13. This means that y is always 13 more than x.
Therefore, the answer is:
B. "In y = 13x, the value of y is 13 times the value of x, and in y = x + 13, the value of y is 13 more than the value of x."
The equation y = 12x means that y is equal to 12 times x. In the given situation, Yvonne has y dollars and Marie has x dollars. Yvonne has 12 times more dollars than Marie, and one half more than Marie. Therefore, the situation can be represented by y = 12x.
The correct answer is:
B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."
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Help m please,,,,,,,,,,,,
Answer:
-2
Step-by-step explanation:
?
find the angle of a sector if the radius is 14cm and area of the circle is 462cm^2
Answer: its 270.1087 degrees
Step-by-step explanation:
if the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria, what will the population be 1,152 hours from now?
The population be 1,152 hours from now will be 17200
What is exponential growth?Exponential growth is a process of increasing a quantity over time. It occurs when the rate of change of a quantity with respect to time is proportional to the itself.
Given that, the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria,
The exponential growth law for this problem is :-
p(t) = 2150(2)ⁿ/₃₈₄
where t is in hours. Plug t = 1152 into the equation and evaluate.
p(1152) = 2150(2)¹¹⁵²/₃₈₄
= 2150(2)³
= 17200
Hence, the population be 1,152 hours from now will be 17200
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Please answer with the work shown
The area and the perimeter of the various given figures above are listed below:
1.) area=70 cm²
perimeter = 29cm
2. area= 80mm²
perimeter = 36mm
3.) area=108m²
perimeter = 42m
4.) area=72cm²
perimeter = 34cm
How to calculate the area and perimeter of the given figures above?For figure 1;
The area of the given figure = length×width.
Where;
Length = 7cm, width = 10
area = 7×10 = 70 cm²
The perimeter = summation of the whole sides.
= 10+7+5+4+3
= 29cm
For figure 2;
The area of the given figure = length×width.
Where;
Length = 8 mm; width = 10mm
area = 8×10 = 80mm²
The perimeter = 6+8+6+10+(8-6)+(10-6)
= 6+8+6+10+2+4
= 36mm
For figure 3;
The area of the given figure = length×width.
Where;
Length= 6+3 = 9m
width ,= 8+5 = 12m
area = 9×12 = 108m²
The perimeter: 2( 9+12) = 42m
For figure 4;
The area of the given figure = length×width.
Where;
Length= 8cm
width = 4+5 = 9cm
area = 8×9 = 72cm²
The perimeter = 6+4+5+8+(5+4)+(8-6)
= 6+4+5+8+9+2
= 34cm.
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I need two linear equations representing the situation. The information is in the picture
Answer:
[tex]x - y = 14[/tex]
[tex]x + y = 58[/tex]
Step-by-step explanation:
x = Number of tickets
y = Number of tickets your friend sells
Together, you and your friend sell 58 tickets: [tex]x + y = 58[/tex]
You sell 14 more tickets than your friend: [tex]x = y + 14[/tex]
= [tex]x -y = 14[/tex]
∴System of linear equations:
[tex]x - y = 14[/tex]….(equation i)
[tex]x + y = 58[/tex]….(equation ii)
1/4 x = 3/2
FIND
X
PLEASE
substitution y=2y-2 and y=2x-5y=1
Answer:
We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.
Starting with y = 2y - 2, we substitute y = 2x - 5:
2x - 5 = 2(2x - 5) - 2
Expanding the right side:
2x - 5 = 4x - 12
Next, we isolate y by subtracting 2x from both sides:
-2x - 5 = 4x - 12
Adding 2x to both sides:
-5 = 6x - 12
Adding 12 to both sides:
7 = 6x
Finally, we divide both sides by 6 to solve for x:
x = 7/6
So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.
Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.
Step-by-step explanation:
What is the area of the base of this right triangular prism?
Check the picture below.
The Beach Shack rents boats for $60 the first hour and $30 each hour after that. The Surf
Shop rents boats for $40 an hour. At what number of hours are the rental fees for a boat
from each shop equal?
Answer:
After 3 hours.
Step-by-step explanation:
60 + 30x = y
40x = y
Beach Shack:
60, 90, 120, 150, 180, 210
Surf Shop:
40, 80, 120, 160, 200
Change each algebraic fraction into an equivalent fraction with the denominator of 24a^3b^2.
The algebraic fraction which is an equivalent fraction with the denominator 24a^3b^2 is 15b/24a^3.
To find an equivalent fraction with the denominator 24a^3b^2, we need to find a common denominator for the two fractions 5b and 8a^3. This common denominator is 24a^3b^2.
To find an equivalent fraction for 5b, we can multiply both the numerator and denominator by the same factor to obtain the desired denominator. To do this, we need to find a factor that would give us a denominator of 24a^3b^2 when multiplied with 8a^3.
The factor that would give us a denominator of 24a^3b^2 is 3.
So, the equivalent fraction for 5b with the denominator 24a^3b^2 is (5b * 3)/(8a^3 * 3) = 15b/24a^3.
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HELP ! A phone company offers two monthly plans. Plan A costs $30 plus an additional $0.03 for each minute of calls. Plan B has no initial fee but costs $0.18 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?
Group of answer choices
$100
$200
$36
$30
The cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Plan A costs $30 plus an additional $0.03 for each minute of calls.
This can be expressed in equation as
y=30+0.03x
Plan B has no initial fee but costs $0.18 for each minute of calls.
y=0.17x
Now we have to find the cost when the two plans cost the same for a set number of minutes
30+0.03x=0.18x
30=0.18x-0.03x
30=0.15x
Divide both sides by 0.15
x=200
when the number of minutes of calls is 200, the two plans cost the same.
To find the cost when the two plans cost the same,
we can substitute x = 200 into either expression for Cost_A or Cost_B:
Cost_A = 30 + 0.03(200) = $36
Cost_B = 0.18(200) = $36
Therefore, the cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.
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tell me the answer please how many students are vegetarian
Answer:
2 boys must be vegetarian.
If all 34 girls were vegetarian, there would have to be 2 boys to add up to 36.
Hitler traveled 75 kilometers in 90 minutes. If he travels at the same speed, how
many kilometers would Hitler cover in 30 minutes?
A.20
B.24
C.25
D.30
Step-by-step explanation:
You can make a ratio. Put the first part of the question together and put the second part together.
[tex] \frac{75}{90} = \frac{x}{30} [/tex]
Next we cross multiply
[tex](75)(30) = 90x[/tex]
[tex]2250 = 90x[/tex]
Lastly we divide by 90
[tex]x = 25[/tex]
the line pot shows the weight of 10 eggs laid by one head what is the total weight and an ounces of the four heaviest eggs
The total weight of the four heaviest eggs, in ounces, is 8 ³ / ₄ ounces .
How to find the total weight ?Given the line plot, the weights of the heaviest eggs are :
2 ¹ / ₂ , 2 ¹ / ₄ , 2, 2
This is because these are the highest numbers on the line plot.
The total weight of these four heaviest eggs is :
= 2 ¹ / ₂ + 2 ¹ / ₄ + 2 + 2
= 4 ³ / ₄ + 4
= 8 ³ / ₄ ounces
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