Factor the difference of two cubes
8v^3-27
i’ll give brainliest
Answer:
\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)
Step-by-step explanation:
from formula a³ – b³ = (a – b) (a² + ab + b² )
Is f(x)=x^3-x symmetric about the origin
Answer:
-24 po
Step-by-step explanation:
thanks for the points
What type of argument is this? "All cubes are square. A dice is a cube. Therefore, a dice must be square."
The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.
The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.
In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.
The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.
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Find the value of 'y' if 27^y = 9/3^y.
Help me please..
Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
Jake starts the race and increases his speed. After 10 minutes, his bike tire goes flat, and he is unable
to continue in the race.
the average height for 15 year old boy is
The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major Graduate School Business Engineering Others Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 Of those students who are majoring in business, what percentage plans to go to graduate school? a. 70.00 b. 72.22 c. 8.75 d. 27.78
The percentage of students majoring in Business that plans to go to Graduate school is 27.78% (option d)
We are given a crosstabulation of 800 college seniors with their undergraduate major and whether or not they plan to go to graduate school. We need to find the percentage of business students who plan to go to graduate school.
From the table, we can see that:
Out of 252 business students, 70 plans to go to graduate school.
Therefore, the percentage of students majoring in Business that plans to go to Graduate school = (Number of business students who plans to go to graduate school / Total number of business students) × 100= (70 / 252) × 100= 0.2778 × 100= 27.78%
Hence, the answer is option d.
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X - 11 < 7
Please help✨✨
x menos 11 menor que 7. .............................
Answer:
x < 18
Step-by-step explanation:
We have an inequality and are asked to solve.
To solve, we need to isolate x or by other means get x by itself.
X - 11 < 7
Add 11 to both sides :
x < 18
Now you could ask whether the inequality sign would change, no, this would only happen when you divide by a negative number.
dentify which graph can be used to solve each equation. Enter the letter of the correct graph next to the equation.
On a coordinate plane, a parabola opens up in quadrant 1. It has a vertex at (3, 0).
x4 + 3 = 0 On a coordinate plane, a function has 3 turning points. The function goes down in quadrant 2 to (negative 2, 0) and then goes up to (0, 10). The function then goes down again to (2, 0) and then increases.
(x − 3)4 = 0 On a coordinate plane, a parabola opens up and has a vertex at (0, 3).
Answer:
first one is C
second is A
third is B
Step-by-step explanation:
The graph corresponding to the equation is 1- C, 2- A, 3- B.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
To find the graph corresponding to the equations
\(\rm y\ =\ x^{4}+3\\\\y\ =\ \left(x-3\right)^{4}\\\\y\ =\ \left(x^{2}-3\right)^{2}\)
A graph has been plotted and attached, that helps in determining the right graph from options available.
The missing graph of the question is also attached.
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Violet buys a dresser at a yard sale for $40. She decides to sell it online for a profit. If Violet wants to sell the dresser for at least $65, what is the smallest markup she can make to theoriginal price of the dresser?A. 60%B. 62.5%C. 65%D. 66.7%
Consider that the dresser costs $40 to Violet. So the cost price C is $40.
She wants to sell the dresser for at least %65,
Then the selling price S must be greater than or equal to $65,
\(S\ge65\)Since there is no discount or any overhead expense, the selling price is the same as the marked price M,
\(M\ge65\)Then the minimum marked price will be $65.
Therefore, option (C) is the correct choice (but the % symbol should not be there).
Consider the following training dataset for binary classification problem Object Home Marital number owner status Yes Married Yes Married Yes Divorced No Single Yes Single No Divorced Yes Single No Married No Divorced Yes Married Sex Income Defaulted borrower Female 150 No Male 220 Yes Female 75 No Female 80 Yes Male 110 No Male 65 Yes Female 90 Yes Female 55 No Male 85 No Male 95 No What is the best split at the root of decision tree according to the entropy? What is the best split at the root of decision tree according to the classification error rate? What is the best split at the root of decision tree according to the Gini index? Construct fully grown decision tree using classification eror Calculate resubmission error and generalization error (Pessimistic approach for the tree Using the constructed tree, predict a class for the following unknown object G. Predict: class for the following record using Naive Bayes Classifier Object Home Marital number owner status Yes Single Sex Income Defaulted borrower Female 80
Constructing a decision tree, calculating error rates, and predicting classes require further analysis and calculations beyond the given dataset. The steps provided above give an overview of the process, but a complete implementation would involve specific algorithms and computations based on the chosen criteria and classifier.
To determine the best split at the root of a decision tree according to different criteria, we need to calculate the entropy, classification error rate, and Gini index for each potential split.
Entropy: Entropy measures the impurity or randomness of a set of samples. The lower the entropy, the more homogeneous the samples are within each class. To calculate the entropy, we use the formula:
Entropy(S) = -Σ(p(i) * log2(p(i)))
where p(i) is the proportion of samples belonging to class i.
For the root node, we consider each attribute (Home owner, Marital status) and calculate the entropy after splitting the data based on that attribute. The attribute with the lowest entropy after the split is considered the best split at the root according to the entropy criterion.
Classification Error Rate: The classification error rate measures the proportion of misclassified samples in a set. The lower the classification error rate, the more accurate the classification. To calculate the classification error rate, we use the formula:
Error(S) = 1 - max(p(i))
where p(i) is the proportion of samples belonging to the majority class.
Similar to entropy, we calculate the classification error rate for each attribute and choose the attribute that results in the lowest error rate as the best split at the root.
Gini Index: The Gini index measures the impurity of a set of samples by calculating the probability of misclassifying a randomly chosen sample. The lower the Gini index, the more homogeneous the samples are within each class. To calculate the Gini index, we use the formula:
Gini(S) = 1 - Σ(p(i)^2)
where p(i) is the proportion of samples belonging to class i.
Again, we calculate the Gini index for each attribute and select the attribute with the lowest Gini index as the best split at the root.
By comparing the results obtained from the three criteria (entropy, classification error rate, and Gini index), we can determine the best split at the root of the decision tree.
To construct a fully grown decision tree using the classification error rate, we start with the best split at the root and continue recursively splitting each node based on the attribute that minimizes the classification error rate until all nodes are pure or no further splits improve the error rate significantly.
To calculate the resubstitution error, we evaluate the accuracy of the constructed tree on the training dataset itself. The resubstitution error is the proportion of misclassified samples.
To estimate the generalization error using a pessimistic approach, we can use techniques like cross-validation or bootstrapping to evaluate the performance of the decision tree on unseen data. The generalization error is an estimate of how well the tree will perform on new, unseen data.
Using the constructed tree, we can predict the class for the unknown object G using the Naive Bayes classifier. We calculate the probability of the object belonging to each class based on the available features (Home owner, Marital status, Sex, Income, Defaulted borrower), and then choose the class with the highest probability as the predicted class for object G.
Please note that constructing a decision tree, calculating error rates, and predicting classes require further analysis and calculations beyond the given dataset. The steps provided above give an overview of the process, but a complete implementation would involve specific algorithms and computations based on the chosen criteria and classifier.
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how many zeros are in 53 quinquagintillion quadringentillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion millinillion
Answer:
a lot
Step-by-step explanation:
Jimmy,Andrew, and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many comic books as jimmy. Together they have 145 comic books. Fine the number of comic books each person has
Answer:
Jimmy = 25
Andrew = 20
Richard = 100
Step-by-step explanation:
J = Jimmys # of comics
J - 5 = Andrews # of comics
4J = Richards # of comics
6J - 5 = 145
+5 +5
6J = 150
divide by 6
J = 25
plug 25 into the if statements above for J
darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 units B. 5 units C. 3 units D. 2 units Reset Submit Coordinate Geometry Tools Save Session Questions: 0 of 10 Answered 1 2 3 4 5 6 7 8 9 10 Answered Current Unanswered 6 of 10 Answered Session Timer: 5:33 Session Score: 33% (2/6)
Answer:
B.
Step-by-step explanation:
Well to find BC, you have to know B and C
B = (-4, 4)
C = (-4, -1)
The distance is:
√(4 + 1)^2 + (-4 + 4)^2
√25
5
Answer:
5 units
Step-by-step explanation:
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that poop in slow motion, yeah
I feel like an astronaut in the ocean, ayy
A graph titled Swimmers at City Pool has Temperature (degrees Fahrenheit) on the x-axis, and swimmers on the y-axis. A trend line goes through points (75, 25) and (85, 40).
Compare the number of swimmers at City Pool and the outside temperature to make an interpolation.
What is the best estimate for the number of swimmers when the outside temperature is 75ºF?
15 swimmers
20 swimmers
25 swimmers
30 swimmers
Answer:
25 is the answer
Answer:
25
Step-by-step explanation:
Suppose that a classmate asked you why (2x + 1)^2is not 4x^2+ 1. Write out your response to this classmate. step by step
Step-by-step explanation:
Sure, here's a step-by-step response you can use:
"Hey, that's a good question! Let me explain why (2x + 1)^2 is not equal to 4x^2 + 1.
When we see an expression like (2x + 1)^2, we know that it means we need to multiply (2x + 1) by itself. So let's do that first:
(2x + 1)^2 = (2x + 1) x (2x + 1)
Now we can use the FOIL method to multiply these two expressions together:
(2x + 1) x (2x + 1) = 4x^2 + 2x + 2x + 1
If we simplify the middle terms by adding them together, we get:
(2x + 1) x (2x + 1) = 4x^2 + 4x + 1
So the expression (2x + 1)^2 simplifies to 4x^2 + 4x + 1, not 4x^2 + 1.
I can see why you might have thought the answer was 4x^2 + 1, since that's the first term in the expression we got. But we can't forget about the two middle terms that come from multiplying 2x and 1 together twice.
I hope that helps clear things up! Let me know if you have any more questions."
a pipe made of metal 1cm thick , has and external radius of 11cm. find the volume of metal used in making 2.4 m long pipe
Answer:
The volume of metal used in making 2.4 m long pipe is 1.58 cm³
Step-by-step explanation:
From the question,
The external radius is 11cm.
Also, the thickness of the pipe is 1cm, then we can determine the internal radius.
Internal radius = External radius - the thickness
Internal radius = 11cm - 1cm
Internal radius = 10cm
Now, to find the volume of metal used in making the long pipe,
The volume of metal used in making the long pipe is the difference between the volume of the external cylinder and the volume of the internal cylinder.
Volume of a cylinder is given by the formula below
\(V = \pi r^{2}h\)
Where \(V\) is the volume of the cylinder
\(\pi\) is constant ( Take \(\pi\) = 3.14)
\(r\) is the radius
and \(h\) is the height
Let the radius of the external cylinder be R,
then, R = 11 cm = 0.11 m
and let the radius of the internal cylinder be r
then, r = 10 cm = 0.10 m
Then,
The volume of metal used in making the long pipe = \(\pi R^{2}h - \pi r^{2}h\)
= \(\pi (R^{2} - r^{2})h\)
= \(3.14\times(0.11^{2} - 0.10^{2})\times2.4\)
= \(3.14\times(0.0121 - 0.01)\times2.4\\\)
= \(3.14\times(0.0021 )\times2.4\\\)
= 0.0158 m³ or 1.58 cm³
Hence, the volume of metal used in making 2.4 m long pipe is 1.58 cm³
Question Help
Reasoning A cone with radius 6 and height 9 has its radius quadrupled. How many times greater is the
volume of the larger cone than the smaller cone?l
Let's see
For initial cone
r=6h=9Volume
1/3πr²h1/3π(6)²(9)3(36)π108π units³For new cone
r=4(6)=24h=9Volume
1/3π(24)²(9)3(576)π1728πSo
1728π/108π16timesAnswer:
16 times
Step-by-step explanation:
\(\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)
If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.
\(\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h\)
Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so 16 times greater than the smaller cone.
ProofGiven:
radius = 6height = 9Substituting the given values into the formula:
\(\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units\)
If the radius is quadrupled:
radius = 6 × 4 = 24height = 9Substituting the new given values into the formula:
\(\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units\)
To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:
\(\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16\)
So the volume of the larger cone is 16 times greater than the volume of the smaller cone.
4.) A candy company is trying to decide which container they will use to package their new
chocolate candy
Which container will hold more candy, and how many more cubic inches of candy will it hold?
A. Container A will hold 80 more cubic inches of candy than container B
B. Container A will hold 40 more cubic inches of candy than container B
C. Container B will hold 80 more cubic inches of candy than container A
D. Container B will hold 40 more cubic inches of candy than container A
Answer:
D
Step-by-step explanation:
Im smart trust me its this one
Use the number line below to help you determine which of the following expressions is true.
The number 5.4 is greater than the number 5.04. Then the correct option is B.
How to solveThe number line goes from 5.0 to 6.0 with 9 labeled marks in between.
Each mark increases by point one.
There are five labeled points.
A point labeled 5.04 is between 5.0 and 5.1.A point labeled 5.26 is between 5.2 and 5.3.A point labeled 5.4 is at the mark labeled 5.4.A point labeled 5.520 is between 5.5 and 5.6.A point labeled 5.71 is between 5.7 and 5.8.Then the ascending order of the number will be
5.04 < 5.26 < 5.4 < 5.52 < 5.71
Thus, the correct option is B.
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which equation is equal to 72
The equation that is equal to 72 is 8 x 9.
1. To find the equation that is equal to 72, we need to consider different mathematical operations and numbers that can be combined to yield the desired result.
2. One way to express 72 is through multiplication. Let's try different combinations of numbers to see if any multiplication equation equals 72.
3. We can start by examining factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
4. By testing various combinations of these factors, we can determine which one equals 72.
5. After evaluating the different combinations, we find that the equation 8 x 9 equals 72.
6. Therefore, the equation 8 x 9 is the one that is equal to 72.
It's important to note that there might be other equations or operations that can also yield a result of 72, such as addition or subtraction, but based on the given information, multiplication is the operation used to obtain the desired outcome.
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Please help me out with this one! I need step by step instructions (30 points!)
Answer:
WAT DO U MEAN 30 POINTS UR ONLY GIVING 5
Step-by-step explanation:
ITS LITTERALLY RIGHT NEXT TO IT
The terminal point P(x, y) determined by a real number t is given. Find sin t, cost, and tan t. (4/5, 3/5)
sin t = cos t = tan t =
The terminal point of sin t, cost, and tan t is:
sin t = 3/5
cos t = 4/5
tan t = 3/4
To find sin t, cos t, and tan t for the terminal point P(x, y) = (4/5, 3/5) determined by a real number t, we need to use the trigonometric ratios of sine, cosine, and tangent.
First, we need to find the values of x and y from the given coordinates of P. Since P is on the unit circle, we know that the distance from the origin to P is 1.
Therefore, we can use the Pythagorean theorem to find the value of the missing side:
x^2 + y^2 = 1^2
(4/5)^2 + (3/5)^2 = 1
16/25 + 9/25 = 1
25/25 = 1
So, x = 4/5 and y = 3/5.
Next, we can use the definitions of sine, cosine, and tangent to find their values for t:
sin t = y/1 = 3/5
cos t = x/1 = 4/5
tan t = y/x = (3/5)/(4/5) = 3/4
Then, we obtain:
sin t = 3/5
cos t = 4/5
tan t = 3/4
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Select the correct answer. Which of the following graphs represents the equation below? A. A graph shows an upward parabola on a coordinate plane vertex at (2, 0) passes through axis at (0, 4), and (4, 4) B. A graph shows an upward parabola on a coordinate plane vertex at (minus 2, minus 2) which intercepts axis at (minus 4, 0), and (0, 0) passes through (minus 4.5, 1), and (1.5, 4) C. A graph shows an upward parabola on a coordinate plane vertex at (minus 2, minus 4) which intercepts axis at (minus 4, 0), and (0, 0) passes through (minus 5, 5), and (1, 5) D. A graph shows an upward parabola on a coordinate plane vertex at (2, minus 4)which intercepts axis at (0, 0), and (4, 0) passes through (minus 1, 5), and (5, 5)
The correct statement is option {D} -
A graph shows an upward parabola on a coordinate plane vertex at
(2, - 4) which intercepts axis at (0, 0), and (4, 0) passes through (- 1, 5),
and (5, 5).
What is Parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.The general equation of a parabola is : y² = 4ax.Given are the equations as -
y = x² − 4 & x + y + 2 = 0
Refer to the graph of the functions -
y = x² − 4 and x + y + 2 = 0 attached.
The parabola and the straight line are plotted on the graph.
The correct correct statement is option {D} -
A graph shows an upward parabola on a coordinate plane vertex at
(2, - 4) which intercepts axis at (0, 0), and (4, 0) passes through (- 1, 5),
and (5, 5).
Therefore, the correct statement is option {D} -
A graph shows an upward parabola on a coordinate plane vertex at
(2, - 4) which intercepts axis at (0, 0), and (4, 0) passes through (- 1, 5),
and (5, 5).
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How do I reflect (-4-3) over the y-axis? no links please
Answer:
(4, -3)
Step-by-step explanation:
(-4, -3) reflected y-axis => (4, -3)
true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
Mrs.Lewis bought 100 yards of ribbon.She used some of the ribbon to decorate dresses .Now she has 67 yards of ribbon remaining. How many yards of ribbon did Mrs.Lewis use to decorate the dresses?
Answer:
33 yards
Step-by-step explanation:
To find the number of ribbons that she used to decorate the dresses can be gotten by subtracting the amount of ribbon left from the total amount of ribbon she had.
She bought 100 yards. She has 67 yards left.
Therefore, the amount of ribbon she used for the dresses is:
100 - 67 = 33 yards
find the marked angles
Answer:
the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees
Step-by-step explanation:
A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.
The already labeled angle (40 degrees) is equal to the farthest angle.
Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:
180 - 90 - 40 = 50 degrees.
An ice machine produces ice cubes that are inch on each side.
What is the volume, in cubic inches, of one ice cube produced by this
ice machine?
The volume of an ice cube produced by this machine is of:
Volume ice cube = 1 inch³
What is a volume?A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.
If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:
Volume cube = side x side x side
Volume cube = side³
side = 1 inch
Volume ice cube = 1 inch³
As the side is 1 the volume and area will be 1 but with corresponding unit
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