These expressions satisfy the criteria for being polynomials based on their structure and components.
[tex]\( 20x^2y \)[/tex]
[tex]\( 20x^2 \)[/tex]
[tex]\( 20x^2 + y \)[/tex]
Let's analyze each expression:
1. [tex]20x^2y[/tex]
This expression can be rewritten as [tex]\( 20x^2y \).[/tex]
It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]
It involves multiplication and addition (implied by the terms).
Conclusion: This expression is a polynomial.
2. [tex]20x^2[/tex]
This expression can be rewritten as [tex]\( 20x^2 \)[/tex].
It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).
It involves multiplication and addition (implied by the term).
Conclusion: This expression is a polynomial.
3. [tex]20x^2+ y[/tex]
This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]
[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).
[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).
The expression involves addition and multiplication.
Conclusion: This expression is a polynomial.
4. [tex]20x^2+y^{12[/tex]
This expression is not standard notation and appears to be incorrectly formatted:
It lacks clear separation between terms.
It combines numeric digits directly without appropriate variables and exponents.
Conclusion: This expression is not a polynomial.
The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. The scale factor is . A pentagon with a side length of 4. An arrow points to a larger pentagon with a side length of 5
Final answer:
To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.
Explanation:
The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.
To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.
Find the values of the power in the following pattern: (10)1, (10)2, (10)3, (10)4....Describe the pattern, and use it to evaluate (10)6 without using multiplication
Which is the slope of the line that passes through the points (2,10) and (5,8)?
the measure of an angle is 34 degrees what is the measure of its supplement
The measure of the supplement angle is 146 degrees.
What are supplementary angles?The supplementary angles is defined as when pair of angles addition to 180° then they are called as supplementary angles. There are two types of supplementary angles.
What are Adjacent angles?Adjacent angles is the type of supplementary angles. Adjacent angles have a common side and vertex, for example a corner point. Their points do not overlap in any way. In other terms, adjacent angles is pair of two angles next to each other
Given that the measure of an angle is 34 degrees
Let x = the measure of the supplement angle.
Two angles whose sum is 180 degrees are supplementary.
∴ x + 34 = 180
Then, (180 -34 ) is the supplement of that angle.
The measure of the supplement angle = 146 degrees
Hence, the measure of the supplement angle is 146 degrees.
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help with homework. show work
find the solution of the equation: x2 = 30 -13x
If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?
Answer:
The original number is 11.3
Step-by-step explanation:
Let the number is x and then we form the equation to solve it for the value of x.
1- Number is multiplied by 2.5 then it becomes = 2.5x
2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.75
3- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]
4- Now the final expression is equal to 37.5 so the equation will be
[tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5
Now we multiply 0.8 in both the sides of the equation
[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.8
2.5x + 1.75 = 30
2.5x = 30 - 1.75
2.5x = 28.25
x = 28.25/2.5 = 11.3
Answer:
11.3
Step-by-step explanation:
I need to hurry so I don't have enough time to write this down.
cody spent $144 on shirts. fancy shirts cost $23 and plain shirts cost $13. if he bought a total of 8 then how many of each kind did he buy?
Hannah keeps her marbles in bags with four marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles and two bags
Can someone help me with number 33 please
What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
The interquartile range(IQR) of the data set is:
10
Step-by-step explanation:The data points according to the stem and leaf plot are as follows:
28 40 43 43 45 50 50
We know that the median of the data is the central tendency of the data and always lie in the middle of the data.
Here looking at the data we have:
Median= 43
Similarly the lower set of data is:
28 40 43
Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.
Hence,
[tex]Q_1=40[/tex]
Similarly, the upper set of data is:
45 50 50
Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.
Hence,
[tex]Q_3=50[/tex]
The interquartile range(IQR) is calculated as:
[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]
63,360, 63,366, 63,372, 63,378, 63,384, ... What is Barry's altitude above sea level, in inches, when he is standing on the 65th step above the one-mile step (counting the one-mile step itself as step #1)?
Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
The true statement is that Trace use more flour
How to determine the true statement ?The given parameters are:
Honey = 4/4 cupFlour = 4/2 cupsEvaluate the quotients
Honey = 1 cup
Flour = 2 cups
2 is greater than 1
Hence, the true statement is that Trace use more flour
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Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff's total was $18.90 before tax? a. $3.19 b. $2.95 c.$4.37 d. $15.95
Answer:
3.19
Step-by-step explanation:
The graph represents function 1, and the equation represents function 2:
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3.
Function 2
y = 5x + 4
How much more is the rate of change of function 2 than the rate of change of function 1?
what is the value of the 9 in the number 60.394
Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of money that Rachel spent. Frank and Rachel spent a total of $15.75. If Rachel spends twice as much money as Frank, how much money did they each spend?
A)
B)
C)
D)
Rachel and Frank spends $10.5 and $5.25 respectively.
It is given to us that
f is the amount of money that Frank spent and
r is the amount of money that Rachel spent.
Frank and Rachel together spent a total of $15.75.
Rachel spends twice as compare to Frank
The equation that represents this situation:
1. f + r = $15.75
2. r = 2f
Substituting r = 2f in equation 1.
f + r = 15.75
f + 2f = 15.75
3f = 15.75
f = 5.25
Substituting f = 5.25 in equation 2.
r = 2f
r = 2(5.25)
r = 10.5
Thus, Rachel spends $10.5 and Frank spends $5.25.
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What is the average weight of the kittens in the shelter?
Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.
What is Average?
An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Here,
Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.
Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.
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A recipe calls for quarter of a cup of sugar to make a chocolate mug brownie.how many mugs of brownies can be made with 1 3/4 cups of sugar
Answer:
7
Step-by-step explanation:
1 chocolate mug brownie can be made with quarter (0.25) cup of sugar.
In total we have [tex]1\frac{3}{4}=1.75[/tex] cups of sugar. So, divide 1.75 by 0.25 to get the number of mugs of brownies we can make:
[tex]\frac{1.75}{0.25}=7[/tex]
Hence, we can make 7 mugs of brownies with [tex]1\frac{3}{4}[/tex] cups of sugar.
PLEASE HELP BRAINLIEST REWARDED
Lorraine writes the equation shown.
x^2 + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents:
A relation and a function
A relation but not a function
A function but not a relation
Neither a function or a relation
A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.
[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]
For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.
Conclusion:
The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!
how do I do this SOS
you suspect that an unscrupullous employee at a casino has tampereed with a die. that is, he is using a loaded die. In order to test this claim you roll it 258 times and obtain the folllowing frquencies Category 1 2 3 4 5 6 Frequency 48 52 51 34 48 25 a. Choose the approp. alternative hypotheses to test if the population proportion differ a/all population proportion differ from 1/6 b/ Not ll population proportion are equal to 1/6 b-1 calculate the value of the test statistic(round to at last 4 decimal places) b-2 Approx. the p-value c. at the 10% signifigance level. can you conclude that the die is loaded?
Maggie and her friend visit a beach that has a shoreline 2 2/5 kilometers long. They walk along 2/3 of it. How many kilometers of the beach shoreline do they walk?
To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along. Maggie and her friend walk 8/5 kilometers of the beach shoreline.
Explanation:To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along.
First, we need to convert the mixed number 2 2/5 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (5) and adding the result to the numerator (2), then putting the new numerator over the denominator. So, 2 2/5 is equal to (2 * 5 + 2) / 5 = 12/5.
Next, we can multiply the length of the shoreline (2 2/5) by the fraction they walk along (2/3). Multiply the whole number and numerator separately, then add the products and put the result over the denominator.
So, (12/5) * (2/3) = (12 * 2) / (5 * 3) = 24/15 = 8/5.
Maggie and her friend walk 8/5 kilometers of the beach shoreline.
determine the area of the composite figure shown below
A flower shop normally orders 35 2/7 pounds of roses each week. The shop is planing on ordering five times as many pound of roses the week of Valentine’s Day. How many pounds of roses should the order be?
176 3/7 pounds
174 pounds
175 5/7 pounds
174 5/7 pounds
Answer:
176 3/7
Step-by-step explanation:
Use the rule to write the first five terms of the pattern rule add 10 subtract 5 first term 11
What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and no right angles? (If you don’t know that don’t answer...otherwise I will report you from the system)
what is 8.6E-10 in standard form
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.
Survey responses of "yes comma " "no comma " and "no opinion"Survey responses of "yes," "no," and "no opinion"
Choose the correct answer below.
A.
The nominalnominal level of measurement is most appropriate because the data cannotcannot bebe ordered.ordered. nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing
B.
The intervalinterval level of measurement is most appropriate because the data can becan be ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.there is no natural starting point.
C.
The ratioratio level of measurement is most appropriate because the data can be ordered commacan be ordered, differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point.natural starting point.
D.
The ordinalordinal level of measurement is most appropriate because the data can becan be ordered comma but differences left parenthesis obtained by subtraction right parenthesis cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are meaningless.
Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent
Answer:
the answers are
b,c,e
quotient of powers, power of a power, and negative exponent
got it right on the quiz
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
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