A scatter plot is the best graph for comparing two variables.
A scatter plot is a graph that uses dots to represent individual observations of two variables. It is a powerful tool for comparing two variables because it allows us to see the relationship between the two variables and how they are distributed. It also helps to identify any patterns or trends in the data, such as a positive correlation, a negative correlation, or no correlation at all.
Additionally, scatter plots allow us to see outliers, which are data points that are far away from the majority of the data points. This makes it easy to identify any extreme values that may be skewing the data and affecting the overall pattern of the graph. Overall, scatter plots are useful for identifying patterns, trends, and outliers in data sets, making it the best choice for comparing two variables.
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How do you solve 2x 3y =- 6?
We can solve this equation using the distributive property. First, we will use the distributive property to multiply the 3y by 2.
What is distributive property?The distributive property is a mathematical rule that allows you to multiply a single number by a group of numbers by multiplying the single number by each number in the group individually. This rule can be expressed in two ways. The first way is a(b + c) = ab + ac. The second way is a(b - c) = ab - ac.
This will give us 2x * 3y = 2(3y). Then, we will subtract 6 from both sides of the equation, which gives us 2x * 3y - 6 = 2(3y) - 6. We can then divide both sides of the equation by 6, which gives us 2x * 3y / 6 = 2(3y) / 6. Finally, we can divide both sides of the equation by 3y, which gives us 2x = -2. Therefore, the solution to 2x 3y = -6 is 2x = -2.
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If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results
Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .
What do you mean by probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.
What do you mean by false positive results?A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.
p=probability of occurrence
q=1-p
P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)
P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)
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Simplify the expression please!
Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What do you mean by law of indices?The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:
a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.
[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]
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Is (-1, 0) a solution to this inequality?
Answer:
False
Step-by-step explanation:
y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.
0 < -2(-1) - 2
0 < 2-2
0 < 0
This is a false statement.
Answer: A / No.
Step-by-step explanation:
We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.
Given:
y < -2x - 2
Substitue:
0 < -2(-1) - 2
Multiply:
0 < 2 - 2
Subtract:
0 < 0 ✗
0 is not less than 0, so this point is not a solution.
Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST
Answer:
it is a function because it passes a vertical line test.
Step-by-step explanation:
Liam Brought 5/8 Pound of cherries. Harrison Brought more cherries than Liam. Which could be the amountOf cherries that Harrison brought ?
The amount of cherries bought by the Harrison is 62.5 pounds.
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.
The cherries bought by the Liam is 5/8 pounds
The cherries bought by the Harrison is more than the Liam.
As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,
H > L
As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of in the above equation, we get,
H > 5/8
This equation can be rewritten in the percentile form as,
h > (5/8) * 100 %
h > (5/2) * 25 %
h > 62.5 %
Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.
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Write a multiplication expression using the following clues one factor is a two digit number between one and ten one factor is a two digit number between 1 and 10 but different from the first the product is greater than 8 but less than 10
first expression = 1×2, 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2 and second expression = 1×9
what is expression?In mathematics, an expression is a statement that represent the method of mathematical operation in a symbolic form. An expression is developed based on numerical terms or both numerical and variable terms along with operator or signs.
What is the multiplication expression stated in the question?it is stated that one factor is a two-digit number between one and ten.
the multiplication expression can be 1×2 , 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2
In the next, the multiplication expression for 2nd statement:
one factor is a two-digit number between one and ten and their product is greater than 8 and less than 10
1×9
the above is greater than 8 and less than 10.
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For any of the vehicles listed in the table,
how many days can you rent the vehicle
before it would be less expensive to rent
for the week?
A person can rent any of the vehicles shown in the table for a minimum of two to three days before it becomes more expensive for a week.
Algebra state that it is the study of the laws and symbols of mathematics as well as the manipulation of these symbols.
The rent of the small car for a week is $250 and for a day is $100. Then,
The maximum number of days that a car could be rented is,
= 250÷100
= 2.5 days
≅ 3 days
Then, for the medium car is,
= 290÷110
= 2.7 days
≅ 3 days
For the luxury car is,
= 325÷120
= 2.7 days
≅ 3 days
For Small van is,
= 350÷150
= 2.3 days
≅ 2 days
For Large van is,
= 390÷170
= 2.2 days
≅ 2 days
We can conclude from the above calculations that a person can rent a car for 2-3 days before it becomes more expensive for a week.
The complete question is -
For any of the vehicles listed in the table, how many days can you rent the vehicle before it would be less expensive to rent for the week?
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The newest streaming service costs $9.24 per month with
tax. If tax is 5%, how much is the streaming service before
tax and how much does a year of the service cost?
Which is the product of [tex]\frac{7}{9\\}[/tex] and 6?
( 100 POINTS )
Answer:
[tex] \sf \: \frac{14}{3} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]
[tex] \sf \rightarrow \: \frac{(7 \times 6)}{9} [/tex]
[tex] \sf \rightarrow \: \frac{42}{9} [/tex]
[tex] \sf \rightarrow \: \frac{14}{3} [/tex]
Hence, the product is 14/3.
True or false? The graph represents a function.
Answer:
true :)
Step-by-step explanation:
David went shopping for a new phone because of a sale. The price on the tag was $46, but David paid $39. 10 before tax. Find the percent discount
The percent discount on the new phone is 15%.
Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.
To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.
Discount = Original Price - Sale Price
Discount = $46 - $39.10
Discount = $6.90
Percent Discount = (Discount / Original Price) x 100
Percent Discount = ($6.90 / $46) x 100
Percent Discount = 15%
Therefore, the percent discount is 15%.
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Which of the following equations describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2
A. an = 1/3 (3/5)n-1
B. an = 1/3 (3/5)n
C. an = 3/5 (1/3)n-1
D. an = 3/5 (1/3)n
The equation which describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2 is an = 3/5 (1/3)n-1 , which is option C.
We use the formula an=a1+(n−1)d an = a1 + (n−1)d , to calculate the nth term of a given sequence. The 'n' here represents a number.
Using the nth term we can any number on the sequence which allows us to locate any term in a series.
By substituting different values for the term number, we can create a series utilizing the nth term (n).
To find the tenth term we use the sequence formula and substitute a random number in place of n.
Example if we need to find the first 50 term then we will substitute n as 50.
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in a right triangle, the two sides adjacent to the right angle are known as the
Answer:legs
Step-by-step explanation: I cannot give a explanation since it is simply math, anything adjacent to a right angle is called a leg.
Answer: the legs? or opposite and hypotenuse.
Step-by-step explanation:
A bag contains 2 snicker bars, 8 trix bars , and 5 crunch bars. A candy is chosen, replaced, then another is chosen, what is the probability of choosing a trix bar then a crunch bar?
The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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Help please with this maths
The radius of the sphere is 9 cm.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere is 4/3πr³.
We have,
The surface area of a sphere = 324π cm²
4πr² = 324π
r² = 324/4
r² = 81
r = √81
r = ±9
r = -9 cm (rejected)
r = 9 cm
Thus,
The radius is 9 cm.
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p = -log(2.1x10^12)
what is p?
The value of p for the given logarithmic function -log(2.1x10^12) is, -8.678
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function [tex]x = a^y[/tex].
Formulae for logarithmic function are,
LogAB = LogA + LogB .................(i)
Logₐaᵇ = b ................(ii)
Given expression,
p = -log(2.1x10^12)
p = -log2.1 + log10^12 (by applying formula i )
p = -log2.1 + 12 (by applying formula ii )
p = -(-3.322) + 12 (log2.1 = -3.322)
p = -8.678
Hence, the value of p is equal to -8.678
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Find the value of x in each parallelogram
Answer:
Step-by-step explanation:
a) x and 53 are adjacent angles of a parellelogram:
therefore, their sum will be 180 degrees
x + 53 = 180 --> x = 180 - 53 = 127 degrees
b) We know that opposite angles in a parallelogram are equal:
therefore, x = 113 degrees
c) Similarly, x = 80 degrees
d) x + 62 = 180
x = 180 - 62 = 118 degrees
Radicals
How do I Simplify
(4√5-3)(√5-2)
Answer:
26 - 11√5
Step-by-step explanation:
(4√5-3)(√5-2)
= 4√5 (√5-2) -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2
= 26 - 11√5
If you can, please give me a Brainliest; thank you!
click on photo! help!
Answer:
The answer is D) 5, the number of eggs on the charts never exceeds that number.
What is the best approximation for the area of this figure?
21+14. 5π units²
21+7. 25π units²
10. 5+7. 25π units²
10. 5+14. 5π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 5 comma negative 2 to negative 5 comma 1. Another segment extends from negative 5 comma 1 to 2 comma 1. A semicircle extends from 2 comma 1 to negative 5 comma negative 2. What is the area of this polygon?
28. 5 units²
34. 5 units²
37. 5 units²
40. 5 units²
6 sided polygon on a coordinate plane with vertices at (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2)
1) The best approximation for the area of this figure is 21+14. 5π units².
2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.
FIGURE AND POLYGON1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².
2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.
The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.
So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.
The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.
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HELP!! Find the value of… (picture)
Answer:
C. 94
Step-by-step explanation:
|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]
OR
det(A) = aei - afh - bdi + bfg + cdh - ceg
|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]
det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex] - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]
OR
det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)
det(A) = 94
The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
Write the coordinates of the vertices after a translation 1 unit down.
Answer:
M(4,0)
K(0,5)
L(6,5)
go down one
When Bruce got his first job, he put $6,225 of his earnings into an investment account to save for retirement. The value of the account is predicted to double each decade.
Write an exponential equation in the form y=a(b)x that can model the predicted value of Bruce's investment account, y, x decades after starting the account.
Use whole numbers, decimals, or simplified fractions for the values of a and b
The exponential function to model the predicted value of Bruce's investment account is
y = 6225 * 2^x.
What is an exponential function?The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
here, we have,
we know that,
An exponential function is written in the form - y=a*(b)^x
Here, y is the function, a is the base value b is the rate and x is time period.
now, we have,
from the given information, we get,
This equation uses the initial value of the account (6225)
and the base of the exponent (2) representing the account will double in value every decade.
if, we have,
the predicted value of Bruce's investment account is y.
time period is, x decades after starting the account.
So, the exponential equation will be -
y = 6225 * 2^x.
Therefore, the exponential equation is .
y = 6225 * 2^x.
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65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Which statement is correct based on the data?
1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.
2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.
The correct statement based on the data is,
⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
Option 2 is true.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Now, By definition of ratio, we get;
The ratio of smoothie size to mangos used for Bri is,
⇒ 24 : 3
⇒ 8 : 1
And, The ratio of smoothie size to mangos used for Angela is,
⇒ 32 : 4
⇒ 8 : 1
Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
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Please help me find the shaded area!
Answer:
216
Step-by-step explanation:
first multiply 4by6 to get that area we will call that a
then 12 by 20 to get that area we will call that b
the shaded area is a's area minus B's area
(12*20)-(4*6)
240-24
216
Answer:
216 in²
Step-by-step explanation:
(12)(20) - (4)(6) = 240 - 24 = 216
All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles
After solving, the smallest number of yellow marbles are 4.
In the given question, all of Marcy's marbles are blue, red, green, or yellow.
One third of her marbles are blue, one fourth of them are red, and six of them are green.
We have to find the smallest number of yellow marble.
The 6 green marbles and yellow marbles of the total marbles = 1 - (1/3) - (1/4)
The 6 green marbles and yellow marbles of the total marbles = 5/12
Now, suppose the total number of marbles is x
We know the number of yellow marbles is 5/12 x-6 and a positive integer.
Therefore, 12 must divide x
Trying the smallest multiples of 12 for x.
We see that when x = 12
We get there -1 yellow marbles, which is impossible.
However, when x = 24 here are
= 5/12 x - 6
= 5/12*24 - 6
= 4
So, the yellow marbles are 4 which must be the smallest possible.
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Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone
The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.
How do you find the maximum volume of a cone?The cone has a volume of
V=πr2h/3
Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.
R is the cone's slant height, and it serves as the hypotenuse of a right triangle.
R2 = h2 + r2, or r2 = R2-h2.
So V = (1/3)π
[R2-h2]
h = (π/3)[R2h-h3]
You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.
dV/dh=(π/3)[R2-3h2]
R2-3h2=0 --> h2=R2/3 -> h = R/√3
Now we can determine r:
r2=R2-R2/3 = (2/3)R2
The volume formula with r and h substituted:
V = (π/3)
r2h = (π/3)(2R2/3)
(R/√3)
V(R)=2πR3/(9√3)
The complete question is:
A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).
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Is 2025 a perfect square Yes or no?
EXPLANATION
2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.