The magnet's area is approximately 3.14 square inches.
What is circle?
Every point in a horizontal surface that is a certain distance above another point forms a circle (center).
The area of a circle is given by the formula:
[tex]A = \pi r^2[/tex]
where π is approximately equal to 3.14 and r is the radius of the circle. Since the diameter of the magnet is given as 2 inches, the radius is half of that, or 1 inch.
Plugging this value into the formula, we get:
[tex]A = 3.14 * 1^2[/tex]
A = 3.14 square inches
Therefore, the magnet's area is approximately 3.14 square inches.
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20PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Required value of cosy is 12/13.
What is Complementary angle?
Two angles are said to be complementary if their addition is 90°.Let if one angle is x then the other angle will be 90° – x. Hence, we use these complementary angles for trigonometry ratios, where one ratio is complementary to another ratio by 90 degrees such as,
[tex]sin(x) = \cos(\frac{\pi}{2} - x) \\ \tan(x) = \cot(\frac{\pi}{2} - x) \\ \sec(x) = \csc(\frac{\pi}{2} - x) \\ \cos(x) = \sin(\frac{\pi}{2} - x) \\ \cot(x) = \tan(\frac{\pi}{2} - x) \\ \csc(x) = \sec(\frac{\pi}{2} - x)[/tex]
Given, here x and y are complementary.
So, we can say that
[tex]x + y = {90}^{o} \\ y = {90}^{o} - x[/tex]
So,
[tex] \sin( x) = \frac{12}{13} \\ \sin( {90}^{o} - y) = \frac{12}{13} \\ \cos(y) = \frac{12}{13} [/tex]
Therefore, required value of cosy is 12/13.
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1 individuals in a tetrahybrid cross is AaB-bCcDd. Assuming independent assortment of these four genes, what are the probabilities that F2 offspring will have the following genotypes?
1. AABBCCDD: The probability of this happening is [tex]1/16[/tex], since each parent would need to contribute a dominant allele for each gene.
2. AABBCcDD: This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is = 1/128.
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
3. The probability of this happening is 1/32.
AaBbCcDd : The probability of this happening is 1/256.
4. aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is 1/128.
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is 1/32.
To solve this problem, we need to use the principles of probability and Punnett squares.
For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.
Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:
A | A | a | a
---|-----|-----|----
B | B | b | b
---|-----|-----|----
C | C | c | c
---|-----|-----|----
D | D | d | d
Each box in the Punnett square represents a possible combination of alleles from the two parents.
For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.
We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.
AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.
The probability of this happening is [tex](1/2)^4 = 1/16[/tex] , since each parent would need to contribute a dominant allele for each gene.
AABBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is[tex](1/2)^4 * 1/2 * (1/2)^3 = 1/128[/tex]
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is[tex]2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32[/tex]
AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).
The probability of this happening is [tex](1/2)^8 = 1/256.[/tex]
aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is[tex](1/2)^4 * 1/2 * (1/2)^3 = 1/128.[/tex]
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is [tex]2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.[/tex]
Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.
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pls explain how to do this math and answer it pls
Answer: A.
Step-by-step explanation: It is parallel because of the angles that are the same and if u fill all the angles up angles 2 and 6 will be congruent there fore its parallel
Answer:
A. Yes, because angles 2 and 6 are congruent.
Step-by-step explanation:
The lines arent touching, parallel. Angles 2 and 6 share the same angle, congruent.
Solve for x. Round your answer to the nearest tenth and type it in the blank without "x=".
Answer:
2.66 round 2.7
Step-by-step explanation:
the triangles are similar, therefore with the measures in proportion
6 : 8 = 2 : x
x = 2 x 8 : 6
x = 16 : 6
x = 2.66 round 2.7
Jenae wants to buy a fuel-efficient car. She finds one that can travel 500 miles on one tank of gas. If the gas tank holds 16 gallons, calculate the miles per gallon.
help me solve this question fast
Answer:
This is a geometric series with first term 1/4 and common ratio 1/4. So the sum of this series is:
[tex] \frac{ \frac{1}{4} }{1 - \frac{1}{4} } = \frac{1}{4} \div \frac{3}{4} = \frac{1}{4} \times \frac{4}{3} = \frac{1}{3} [/tex]
One of the legs of a right triangle measures 16 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
[tex]2\sqrt{65}[/tex] cm, decimal form is about 16.1 cm
Step-by-step explanation:
Use the pythagorean theorem:
A^2 + B^2 = C^2
A and B are legs, c is hypotenuse
First leg is 16, second leg is 2
Plug it in:
16^2 + 2^2 = hypotenuse^2
256 + 4 = hypotenuse ^2
260 = h^2
[tex]\sqrt[2]{260}[/tex] = h
To simplify the square root of 260, we can factor 260 into its prime factors:
260 = 2 x 2 x 5 x 13
Then, we can take out the pairs of identical factors from under the square root symbol:
sqrt(260) = sqrt(2 x 2 x 5 x 13)
= sqrt(2 x 2) x sqrt(5) x sqrt(13)
= 2sqrt(65)
[tex]2\sqrt{65}[/tex]
Answer:
16.2 or 16.00
Step-by-step explanation:
Leg #1 --->16
Leg #2 --->2
C ---> hypotenuse
16.12452---->16.12
16.12 rounded to the nearest tenth is 16.00
HELP ASAP!!
Add. (5x + 8) + (2x + 5)
Answer:
7x + 13
Step-by-step explanation:
because the correct answer is 7x+13
Question 6(Multiple Choice Worth 2 points)
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
After comparing the data, a measure of variability for both sets of data to be utilised to find the place with the most stable temperature: C. Range, because Sunny Town is skewed.
What exactly is skewness?Skewness is a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram in mathematics, and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.
We may rationally establish that Sunny Town's box plot (box-and-whisker plot) is distorted by closely inspecting it.
Conversely, the Desert Landing box plot (box-and-whisker plot) is symmetrical (vertical line dividing the box into two equal halves), which simply means that both whiskers on either side of the box plot (box-and-whisker plot) are roughly equal and symmetric.
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what two numbers multiply to 21 and add to -10
Answer: brainliest ?
-3 and -7
Step-by-step explanation:
What is the equation of the line that is perpendicular to the given line and passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2?
The equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
Given that a line is passing through the point (2, -2) and is perpendicular to the line y = 2x/5+2, we need to find the equation of the line,
The equation of line is, y = mx + c, where m is the slope,
So, we know that the slopes of the perpendicular lines are negative reciprocal of each other,
So, the slope of the required line is -5/2.
Therefore, the equation will be
y = -5x/2 +c
To find c put x = 2, y = -2
-2 = -5(2)/2 + c
-2 = -5 + c
c =3
Hence, the equation is, y = -5x/2+3
Therefore, the equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3
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i need help please help me
You can take a look at this, the image that I attached might help.
For example, the first one shifts left because the h value is positive 3. -(3) = -3.
A rectangle is 21 meters long and I1 meters wide
The area of the rectangle is 231 square meters.
Calculating the areaTo find the area of a rectangle, we need to multiply its length by its width.
Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:
Area = Length x Width
Area = 21 meters x 11 meters
Area = 231 square meters
Therefore, the area of the rectangle is 231 square meters.
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Rewrite 10 to the 32 power times 10 to the 6
Answer:
[tex] {10}^{32} {10}^{6} = {10}^{38} [/tex]
Select the correct answer.
The graph of function f is shown.
Function g is represented by the equation.
g(x) = 4(1/4)^x +2
Which statement correctly compares the two functions?
A. They have different y-intercepts but the same end behavior.
B. They have different y-intercepts and different end behavior.
C. They have the same y-intercept and the same end behavior.
D. They have the same y-intercept but different end behavior.
Answer:
A. They have different y-intercepts but the same end behavior.
Step-by-step explanation:
From the shape of f we see that its a descending exponential fnction, so the factor taken to the power x will be a fraction, and from the points the eqation is
f(x) = 2(1/4)^x + 2
and the y-intercept is 4
g(x) has y-intercept of 4(1/4)^0 + 2 = 6 so they are different.
As x approaches infinity both f and g approach 2 so the end behavior s the same.
A-One Talent Agency has 109 clients. 46 of the clients play piano and 58 of the clients play guitar. 17 clients play both the piano and the guitar. How many of the clients do not play either instrument?
Number of clients who do not play either the piano or the guitar is 22
To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.
Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments
Substituting the given values, we get
|A ∪ B| = 46 + 58 - 17
|A ∪ B| = 87
Therefore, the number of clients who do not play either instrument is:
109 - 87 = 22
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can someone show me step by step only and correctly
A cylinder has the net shown.
net of a cylinder with diameter of each circle labeled 3.8 inches and a rectangle with a height labeled 3 inches
What is the surface area of the cylinder in terms of π?
40.28π in2
22.80π in2
18.62π in2
15.01π in2
Answer:
18.62π square inches
Step-by-step explanation:
To find the surface area of the cylinder, we need to find the area of each of its components and add them together. We can use the net of the cylinder to visualize its components and dimensions.
First, let's find the area of the top and bottom circles. We know the diameter of each circle is 3.8 inches, so the radius is half of that, or 1.9 inches. The formula for the area of a circle is A = πr^2, so:
A(top and bottom circles) = 2π(1.9 in)^2
= 2π(3.61 in^2)
= 7.22π in^2
Next, let's find the area of the curved surface of the cylinder. The height of the cylinder is labeled as 3 inches, which is also the height of the rectangle in the net. The length of the rectangle is the circumference of one of the circles, which is πd (where d is the diameter). So:
length of rectangle = π(3.8 in) = 11.96 in
The formula for the area of the curved surface of a cylinder is A = 2πrh, where r is the radius and h is the height. We can use the radius we found earlier and the height of 3 inches to calculate the area of the curved surface:
A(curved surface) = 2π(1.9 in)(3 in)
= 11.4π in^2
Finally, we can add the areas of the top and bottom circles and the curved surface to get the total surface area of the cylinder:
Total surface area = A(top and bottom circles) + A(curved surface)
= 7.22π in^2 + 11.4π in^2
= 18.62π in^2
Therefore, the surface area of the cylinder in terms of π is 18.62π square inches.
If a student pulls out a jellybean without looking what is the probability that the jellybean will be yellow? 5/11 probability practice
residents of eastport are concerned about the number of drivers who speed when riving down main street a group of residents take turns observing the street each person spends one hour counting how many drivers speed and how obey the speed limit
Answer:in your mouth
Step-by-step explanation:
. a fair coin is flipped 8 times and thesequence of heads and tails is noted. in howmany outcomes are therea. exactly 6 heads?b. at least 3 heads?c. at most 6 heads?d. at most 2 head
The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256.
a. To get exactly 6 heads, we need to choose 6 out of the 8 flips to be heads, and the remaining 2 flips to be tails. The number of ways to choose 6 out of 8 is given by the binomial coefficient (8 choose 6) = 28. Therefore, there are 28 possible outcomes with exactly 6 heads.
b. To get at least 3 heads, we need to count the number of outcomes with 3, 4, 5, 6, 7, or 8 heads. Using the same logic as part (a), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at least 3 heads.
Number of outcomes with 3 heads: (8 choose 3) = 56
Number of outcomes with 4 heads: (8 choose 4) = 70
Number of outcomes with 5 heads: (8 choose 5) = 56
Number of outcomes with 6 heads: (8 choose 6) = 28
Number of outcomes with 7 heads: (8 choose 7) = 8
Number of outcomes with 8 heads: (8 choose 8) = 1
Total number of outcomes with at least 3 heads = 56 + 70 + 56 + 28 + 8 + 1 = 219.
c. To get at most 6 heads, we need to count the number of outcomes with 0, 1, 2, 3, 4, 5, or 6 heads. Using the same logic as part (b), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 6 heads.
Number of outcomes with 0 heads: (8 choose 0) = 1
Number of outcomes with 1 head: (8 choose 1) = 8
Number of outcomes with 2 heads: (8 choose 2) = 28
Number of outcomes with 3 heads: (8 choose 3) = 56
Number of outcomes with 4 heads: (8 choose 4) = 70
Number of outcomes with 5 heads: (8 choose 5) = 56
Number of outcomes with 6 heads: (8 choose 6) = 28
Total number of outcomes with at most 6 heads = 1 + 8 + 28 + 56 + 70 + 56 + 28 = 247.
d. To get at most 2 heads, we need to count the number of outcomes with 0, 1, or 2 heads. Using the same logic as parts (b) and (c), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 2 heads.
Number of outcomes with 0 heads: (8 choose 0) = 1
Number of outcomes with 1 head: (8 choose 1) = 8
Number of outcomes with 2 heads: (8 choose 2) = 28
Total number of outcomes with at most 2 heads = 1 + 8 + 28 = 37.
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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
The drive-thru that typically has more wait time is
Burger Quick, because it has a larger median.
Option A is correct.
How do we calculate?Because Burger Quick's box plot displays a higher interquartile range (from 9.5 to 24) than Super Fast Food (from 8.5 to 15.5), Burger Quick often has longer wait times.
Additionally, Burger Quick's median (15.5) is greater than Super Fast Food's median (12), demonstrating that Burger Quick's middle value of reported wait times is higher than Super Fast Food's middle value of reported wait times.
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One baseball team played 15 games throughout the season. If this baseball team won 9 of those games, what percent of the games did they win?
Answer:
The baseball team won 60% of the games they played.
Step-by-step explanation:
To find the percentage of games the baseball team won, we can use the following formula:
percentage = (wins / total games) x 100
where wins is the number of games won and total games is the total number of games played.
Substituting the given values, we get:
percentage = (9 / 15) x 100
percentage = 0.6 x 100
percentage = 60%
Therefore, the baseball team won 60% of the games they played.
Answer:
60%
Step-by-step explanation:
9 out of 15, written in *fraction form* is 9/15, when reduced down, 9/15 becomes 3/5. When you insert 3/5 into a calculator you get 0.6 . Since percentage is based off a x/100, you move the decimal point of 0.6 over 2 units to the right, you get 60, so it would in final would be 60/100 which equals 60%
* ( Ex. 1 out of 3 = 1/3 )
Happy Mathing <3
-J
dont understand what m supposed to do at the radius = diameter/2 part
Step-by-step explanation:
Radius simply means half of the diameter. In other words radius is the distance between the center of the circle to the outside of the circle
Solve and simplify your answer.
6/7 + 1/8
Answer: 41/56
Step-by-step explanation:
first you would try to find a common denominator (or LCM) in this case, its 56 so the revised question is 48/56+7/56 because you have to change the numerator as well. if you subtract the numerators it is 41. so its 41/56. 41/56 is already in its simplest form, so the answer is 41/56
Quiz Active
Does anyone know the answer
The equation of the circle is (x + 1)² + (y - 1)² = 16.
option D
What is the equation of the circle?
The radius of the circle is 4, and the center of the circle is (-1, 1).
The equation of a circle with center (a,b) and radius r is given by:
(x - a)² + (y - b)^2 = r²
In this case, the center of the circle is (-1, 1) and the radius is 4. Plugging these values into the equation, we get:
(x - (-1))² + (y - 1)² = 4²
Simplifying the equation, we get:
(x + 1)² + (y - 1)² = 16
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Solve the system using elimination -6X = 18 - Y 9 = -3X - 8Y
The solution to the system by elimination is (-2, 4).
Solving the system using eliminationTo solve the system using elimination, we need to eliminate one of the variables by multiplying one or both of the equations by a constant.
-6X = 18 - Y
9 = -3X - 8Y
Rewrite as
-6X = 18 - Y
3X = 9 - 8Y
So, we have
-6X = 18 - Y
6X = 18 - 8Y
Now we can add this equations to the second equation to eliminate x:
0 = 36 - 9Y
This gives
9Y = 36
So, we have
Y = 4
Recall that
-6X = 18 - Y
So, we have
-6X = 18 - 4
So, we have
-6X = 12
Divide by 2
X = -2
Therefore, the solution to the system is (-2, 4).
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state the modal numbers
1,2,3,4,5,6,7
Answer:
there is no Modal number because all the numbers appears only once
Your friend says that the inequalities x ≤ 4/3 and -6x ≤ -8 is your friend correct? Explain
x - 4/3 ≤ 0 is equivalent to x ≥ 4/3, and they both represent the same set of values for x. My friend is correct.
Are the inequalities x ≤ 4/3 and -6x ≤ -8 equivalent?The relationship between two values that are not equal is defined by inequalities.
When we subtract 4/3 from both sides; x ≤ 4/3 can be rewritten as:
x - 4/3 ≤ 0
-6x ≤ -8 can be simplified by dividing both sides by -6 and reversing the inequality which gives:
x ≥ 4/3.
Full question "Your friend says that the inequalities x ≤ 4/3 and -6x ≤ -8 is your friend correct? Explain the reason"
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Calvin has a gift card which he is using to buy candy (x), and he has been tracking how much money (y) he spends. He noted that after buying 4 pieces of candy (in all) he has $28.00 left on his card and then after buying 10 pieces of candy (in all) he has $25.00 left on his card. Write the equation of the line that represents his spending on candy
Answer:
To write the equation of the line that represents Calvin’s spending on candy, we need to first find the slope and the y-intercept of the line.
We can use the two points given in the problem: (4, 28) and (10, 25)
Slope (m) = (y2 - y1) / (x2 - x1)
= (25 - 28) / (10 - 4)
= -3/6
= -1/2
The slope represents the rate at which Calvin is spending money on candy.
Now, we can use the point-slope form of the equation of a line to find the equation of the line.
y - y1 = m(x - x1)
y - 28 = (-1/2)(x - 4)
y - 28 = (-1/2)x + 2
y = (-1/2)x + 30
Therefore, the equation of the line that represents Calvin’s spending on candy is y = (-1/2)x + 30.
Answer: Equation that represents his spending on candy- y = (³⁄₁₀) x
X = number of candy
Step-by-step explanation:
y = money spend x = number of candy
y = (m)x
cost for 10 pieces of candy = $(28 - 25) = $3
⇛ 3 = (m)x10 (x = 10 & y = 3)
⇛m=(³⁄₁₀)
Therefore the equation representing his spending on candy is
⇛ y = (³⁄₁₀) x
given list (10, 11, 12, 13, 14, 15), how many comparisons will be made during the third outer loop execution (i = 3)?
The third outer loop execution (i = 3), the loop compares the third element (12) with the remaining elements in the list (13, 14, 15) for a total of 3 comparisons
Assuming the outer loop is a standard loop that iterates through the list from the first to the second-to-last element, the number of comparisons made during the third outer loop execution (i = 3) would be 3.
During the first outer loop execution (i = 1), the loop compares the first element (10) with the rest of the elements in the list (11, 12, 13, 14, 15) for a total of 5 comparisons.
During the second outer loop execution (i = 2), the loop compares the second element (11) with the remaining elements in the list (12, 13, 14, 15) for a total of 4 comparisons.
During the third outer loop execution (i = 3), the loop compares the third element (12) with the remaining elements in the list (13, 14, 15) for a total of 3 comparisons.
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Assuming you are using a standard bubble sort algorithm, during the third outer loop execution (i = 3), there will be 3 comparisons made.
The given list (10, 11, 12, 13, 14, 15) and the number of comparisons made during the third outer loop execution (i = 3):
In the first outer loop iteration (i = 1), there will be 5 comparisons (comparing elements at positions 1-2, 2-3, 3-4, 4-5, and 5-6).
In the second outer loop iteration (i = 2), there will be 4 comparisons (comparing elements at positions 1-2, 2-3, 3-4, and 4-5).
In the third outer loop iteration (i = 3), there will be 3 comparisons (comparing elements at positions 1-2, 2-3, and 3-4).
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