To use this method, you can call it in the main method like this:
numInverter.swapArrayEnds(sortedArray);
This will swap the first and last elements of the sortedArray.
Here is a solution for the swapArrayEnds() method:
public void swapArrayEnds(int[] arrayVals) {
// Check if array has at least 2 elements
if (arrayVals.length >= 2) {
int temp = arrayVals[0]; // Store first element in temp variable
arrayVals[0] = arrayVals[arrayVals.length-1]; // Replace first element with last element
arrayVals[arrayVals.length-1] = temp; // Replace last element with temp variable
}
}
This method takes an integer array as a parameter and swaps the first and last elements of the array. It first checks if the array has at least 2 elements to avoid swapping the same element. It then stores the first element in a temporary variable, replaces the first element with the last element, and replaces the last element with the temporary variable.
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HELP PLEASE ASAP 20 points
Answer:
55 degrees
Step-by-step explanation:
To solve this problem, all you have to do is 60 + 65 and subtract it from 180. We can do this because those 3 angles create a linear pair.
Answer: 55
Step-by-step explanation:
The 3 angles form a line, <4 60 and 65. since it is a line the 3 angles add up to 180
<4 +60 + 65 =180 solve for <4 by subtracting 60 and 65 from both sides
<4 = 55
Give the OTHER guy brainliest please. I liked his answer.
suppose another dog weighs 25.7 pounds and consumes 70 ounces of food per week. what is the residual associate to this individual using the least squares estimate? provide your answer accurate to 1 digit past the decimal point.
The residual concerning this individual using the least squares estimate is 13.025 ounces under the given condition that another dog weighs 25.7 pounds and consumes 70 ounces of food per week.
Let's us consider x = weight of a dog in pounds
y = amount of food consumed by a dog in ounces per week.
Then the least squares estimate of y given x is
y = 2.75x - 17.5
Utilizing this equation, we can say that a dog weighing 25.7 pounds will consume
y = 2.75(25.7) - 17.5
= 56.975
To evaluate the residual concerning thr individual using the least squares estimate,
Residual = Observed value - Predicted value
= 70 - 56.975
= 13.025 ounces
The residual concerning this individual using the least squares estimate is 13.025 ounces under the given condition that another dog weighs 25.7 pounds and consumes 70 ounces of food per week.
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Identify the length of the missing section of each line. Assume that the lines are divided into equal parts.
A line segment, from 0 to 36, divided into 3 sections, with a bracket including the first 2 sections, labeled with a question mark.
The missing length are 24, 18 and 10.
We have,
1. There 36 labels having three division equally.
So. the length of missing section is
= 12 + 12
= 24
2. There 36 labels having 4 division equally.
So. the length of missing section is
= 9 + 9
= 18
3 There 16 labels having 8 division equally.
So. the length of missing section is
= 2 + 2 + 2 + 2 +2
= 10
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Factor each completely and show your work.
2n^2 + 5n + 2
Find zw and Z/W.
(Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)
The product of the two expressions ZW, is 81( cos π²/132 + sinπ²/132 + i(cosπ/11sinπ/12 + sin π/11cos π/12).
The division of the expressions Z/W, is [ (cos π²/132 - sin π²/132) + i (sin π/11 cosπ/12 - sin π/12 cosπ/11) ] / (cos² π/12 - sin² π/12).
What is the simplification of the expression?The given expression is simplified as follows;
Z = 9(cos π/11 + i sin π/11)
W = 9(cos π/12 + i sin π/12)
The product of the two expressions is calculated as follows;
ZW = 9(cos π/11 + i sin π/11) x 9(cos π/12 + i sin π/12)
ZW = 81(cos π²/132 + i cosπ/11 sinπ/12 + i sin π/11 cos π/12 + sin π²/132)
ZW = 81( cos π²/132 + sinπ²/132 + i(cosπ/11sinπ/12 + sin π/11cos π/12)
The division of the expressions is calculated as follows;
Z/W = 9(cos π/11 + i sin π/11) / 9(cos π/12 + i sin π/12)
Z/W = (cos π/11 + i sin π/11) / (cos π/12 + i sin π/12)
Multiply the denominator and numerator with conjugate of (cos π/12 + i sin π/12) = cos π/12 - i sin π/12
Z/W = (cos π/11 + i sin π/11)/(cos π/12 + i sin π/12) x (cos π/12 - i sin π/12)/(cos π/12 - i sin π/12)
Z/W = [ (cos π²/132 - sin π²/132) + i (sin π/11 cosπ/12 - sin π/12 cosπ/11) ] / (cos² π/12 - sin² π/12)
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Find the volume of this composite object!
(use 3 for pi)
Answer:
207 cubic cm
Step-by-step explanation:
3x3^2x11/3 = 99
4/3x3x3^3 = 108
108+99=207
in a game, you have a spinner with 10 equal sections, numbered 1 to 10. what is the probability that you will spin the spinner three times and the sum of the numbers will be exactly 15?
If we spin a spinner with 10 equal-sections, then the probability that on spinning the spinner 3 times the sum becomes 15 is 0.011.
To find the probability of spinning the spinner "3-times" and getting a sum of exactly 15, we use a combination of probability and counting principles.
First, we find total number of possible outcomes when spinning the spinner 3-times.
Since there are 10 possible outcomes for each spin,
There are a total of 10 × 10 × 10 = 1000 possible outcomes,
Next, we count the number of ways to get a "sum-15" by listing out all the possible combinations of three numbers that add up to 15.
The Outcomes are : (1, 7, 7), (2, 6, 7), (2, 7, 6), (3, 5, 7), (3, 6, 6), (3, 7, 5), (4, 4, 7), (4, 5, 6), (4, 6, 5), (4, 7, 4), (5, 5, 5).
So there are 11 possible combinations of three numbers that add up to 15.
The probability of getting "sum-of-15" is found by dividing number of favorable outcomes (11) by total number of possible outcomes (1000);
⇒ P(sum of 15) = 11/1000,
Therefore, the required probability is 0.011.
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The triangle above has the following measures.
a = 9 cm
b = 9√3cm
Use the 30-60-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is given as follows:
c = 18.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The sides for this problem are given as follows:
[tex]a = 9, b = 9\sqrt{3}[/tex]
Then the hypotenuse is given as follows:
[tex]c^2 = 9^2 + (9\sqrt{3})^2[/tex]
c² = 324
c = 18.
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18x+12 can you factor the expression completely
After considering the given data we conclude that the value generated after completely factorizing the given expression is 6(3x + 2).
To factor the expression completely, you need to find the greatest common factor (GCF) of the terms and then divide each term by the GCF. The GCF of 18x and 12 is 6, so we can write:
18x + 12 = 6(3x + 2)
This is the simplest form of the expression, so we are done. You can check your answer by expanding the parentheses and seeing if you get back the original expression.
The greatest common factor (GCF) is considered the largest positive integer that divides evenly into two or more given numbers.
In order to evaluate GCF of two numbers, we have to list the factors of each number and then identify the largest factor that is common to both numbers.
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Clarence's office recycled a total of 27 kilograms of paper over 3 weeks. How many weeks will it take Clarence's office to recycle a total of 36 kilograms of paper? Solve using unit rates.
Answer: number of recycled paper in 1 week: 27/3= 9 kilograms
Clarence's office will recycle a total of 36 kilograms of paper in : 36/9= 4 weeks
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12 weeks is your answer
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Question
Simplify.
(m + 13) - (p + 25)
The expression (m + 13) - (p + 25) after subtraction is simplified to m - p - 12.
The expression (m + 13) - (p + 25) can be simplified by subtracting each term inside the second set of parentheses by -1, which gives
(m + 13) + (-p - 25)
Then, we can group the like terms together
(m - p) + (13 - 25)
Simplifying further, we get
(m - p) - 12
Therefore, (m + 13) - (p + 25) simplifies to m - p - 12, which means that the difference between the sum of m and 13 and the sum of p and 25 is equal to m minus p minus 12.
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I need help now!!!! +10 points
The correct statement regarding the patterns is given as follows:
Every term in Pattern B is 1/4 the corresponding term in Pattern A.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The general term of an arithmetic sequence is given by the explicit formula presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
Each pattern has a first term of zero, while the first pattern has a common difference of 16 and the second pattern has a common difference of 4, hence the equations are given as follows:
A(n) = 16(n - 1).B(n) = 4(n - 1).The ratio is given as follows:
B(n)/A(n) = 4(n - 1)/16(n - 1) = 1/4.
Hence the correct option is given by the first option.
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what is the predicted time before the first engine overhaul for a particular truck driven 55,000 miles per year with an average load of 22 tons, an average driving speed of 55 mph, and 15,000 miles between oil changes. (do not round intermediate calculations. round final answer to 2 decimal places.)
The information provided is insufficient to determine the predicted time before the first engine overhaul.
To predict the time before an engine overhaul, we need to know the manufacturer's recommended mileage or hours of operation for an overhaul.
Factors such as miles per year, load, speed, and oil change intervals affect the engine's performance and wear but do not directly provide a specific time frame for an engine overhaul.
Summary: Without knowing the manufacturer's recommended mileage or hours for an engine overhaul, we cannot accurately predict the time before the first engine overhaul for the particular truck described.
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A diamand is inscribed
inside a square.
Find
the area of the circle
in.
the bottom right triangle.
Useful Formula
& radius
of circle inscribed right triangle
P + B - H /2
where
(Height)
Da serpendicular
B° base
H= hypotenuse
The Area of circle is 31.4 unit²
First consider that the side of diamond is 10 unit.
Using Pythagoras
10² = x² + x²
100 = 2x²
x² = 50
x= 5√2
Now, the radius of circle inscribed in right angled triangle is
r = (P + B - H)/2
r = (5√2 + 5√2 - 10) /2
r = 10√2 - 10/2
r = (5√2 - 5) unit
So, Area of circle = πr² = 3.14 (5√2)²= 31.4 unit²
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HELP ME PLEASE ASAP!!!!!!!!!
Answer:
(x-1)^2+(y+3)^2=25
Step-by-step explanation:
that's how iit'ss written in standard form.
The two-way frequency table contains data about students' preferred exercise.
Enjoys swimming Enjoys cycling Row totals
Likes running 28 62 90
Does not like running 46 64 110
Column totals 74 126 200
What is the joint relative frequency of students who do not like to run but enjoy cycling?
64%
55%
32%
23%
Answer:
14%
Step-by-step explanation:
like running and summing=28
28/200=14
:in percent form it is 14%
Show that the product of two consecutive natural odd numbers is always an odd number. please answer it .....
Let the two consecutive odd numbers be (2n + 1) and (2n - 1)
There product is (2n - 1)(2n + 1)
4n² - 1
2(2n) - 1
let 2n² = x
2x - 1
Hence , we can say that product of two consecutive odd number is always odd.
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Charles rolls a number cube and then chooses a card from a set of cards numbered 1 through 24. What is the probability that he will roll an even number and choose an odd-numbered card?
1/4
1/8
1/3
1/24
Answer:
1/4
Step-by-step explanation:
1/2 Chance to roll an even number
1/2 Chance to pick an odd-numbered card
1/2 * 1/2 = 1/4
Giveing brainly to whoever helps And extra points:> Help pls im not caught up.
The data distribution is, skewed and the mean of the number of emails is equal to the median numbers of email.
Given that;
The dot plot shows the number of emails that Jade receive each day for the last 10 days.
Now, We can see that;
it has more data on one side rather than the other.
Hence, It shows the skewed.
And, Mean of dot plot is,
15, 16, 18, 19, 22, 22, 22, 22, 23, 23
Hence, Mean = (22 + 22) / 2
= 22
And, Median = 22
Thus, We get;
The data distribution is, skewed and the mean of the number of emails is equal to the median numbers of email.
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solve using elimination
9x-3y=24
7x-3y=20
Answer:
point form:(13/5, -3/5)
equation form: x=13/5
y=-3/5
Step-by-step explanation:
Give me brianliest, appreciated. Peace✌
What is the mean of 5, 5, 4, 8, 10, and 10?
Answer: 7
Step-by-step explanation:
Mean means average. Add all the numbers and divide by how many there are.
(5+5+4+8+10+10)/6
=7
Answer:
7
Step-by-step explanation:
To solve this problem you simply, add 5+5+4+8+10+10 and divide it by the number of values present.
5+5+4+8+10+10 = 42/6 = 7, so you answer is 7
At a certain time of day, the angle of elevation of the sun is 80 °. To the nearest foot, find the height of a tree whose shadow is 36 feet long.
The height of the tree whose shadow is 36 feet long will be 204 feet.
Given that:
Angle, θ = 80°
Length of shadow, x = 36 feet
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The height of the tree is calculated as,
tan 80° = h / 36
h = 36 x tan 80°
h = 204 feet
The height of the tree whose shadow is 36 feet long will be 204 feet.
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Which expressions are equivalent to 4+8x? Mark all that apply.
A. 2(4x+2x)
B. 4x+2(2+2x)
C. 8(x+1)+3
D. 4x+2+2(x+1)
E. 2(x+1)+2(3x+1)
F. 4(1+2x)
The expression that is equivalent to 4 + 8x are options
B. 4x + 2(2 + 2x) E. 2(x + 1) + 2(3x + 1) F. 4(1 + 2x).How to find the equivalent expressionWe can simplify each expression and check if it is equal to 4+8x:
A. 2(4x+2x)
= 2(6x)
= 12x ≠ 4+8x
B. 4x+2(2+2x)
= 4x+4+4x
= 8x+4 = 4+8x
C. 8(x+1)+3
= 8x+11 ≠ 4+8x
D. 4x+2+2(x+1)
= 4x+2+2x+2
= 6x+4 ≠ 4+8x
E. 2(x+1)+2(3x+1)
= 2x+2+6x+2
= 8x+4 = 4+8x
F. 4(1+2x) = 4+8x
Therefore, the expression that is equivalent to 4 + 8x are options
B. 4x+2(2+2x)
E. 2(x+1)+2(3x+1)
F. 4(1+2x).
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A student was asked to sketch the graph below. Using the graph, determine whether each statement is true or false.
-1 is a zero of the function
0 is a zero of the function
1 is a zero of the function
2 is a zero of the function
True False
What quadrilaterals can you draw that have two side lengths of 10 centimeters and two side lengths of 6 centimeters?
Answer:
A rhombus, parallelogram, or a rectangle
Step-by-step explanation:
i need help ASAP LIKE ASAP PLEASE
Answer:
359.4 cubic feet
Step-by-step explanation:
The formula for the volume of a hemisphere is (2/3)πr^3, where r is the radius.
Substituting r=6.5 ft into the formula, we get:
V = (2/3)π(6.5 ft)^3
V ≈ 359.41 ft^3
Rounding to the nearest tenth of a cubic foot, we get:
V ≈ 359.4 ft^3
Adding +subtracting scientific notation
The evaluation of the expression as per the PEMDAS rule is 1.095 x 10⁴.
The provided expression is,
3.45 × 10³ + 7.5 × 10³.
To evaluate the expression, first, simplify the expression,
which is,
(3.45 x 1000) + (7.5 x 1000).
Now, the expression can be solved using PEMDAS,
The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
3450 + 7500.
Now add the expression to get the final value,
10950.
Now, simplify as the required term,
1.095 x 10⁴.
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TDC, Inc.s' net profits were -$2,000 each month last year. What was TDC's net profits for the year?
A. -$24,000
B. -$14,000
C. $10,000
D. $24,000
Answer:
A
Step-by-step explanation:
take the monthly net profits which is $2,000 and multiply with 12 which is the number of months in a year. the results is $24,000
culculation;
$2,000 X 12 = $24,000
let be the smallest positive integer such that is a perfect th power of an integer for some , where . what is ?
Using the binomial theorem, we get the value of n to be 1.
The given expression can be simplified by factoring out (1 + x)² from each term, which gives
(1 + x)²[1 + (1 + x) + (1 + x)² + ... + (1 + x)⁴⁷ + (1 + x)⁴⁸]
We can then use the formula for the sum of a geometric series to simplify the expression inside the brackets
1 + (1 + x) + (1 + x)² + ... + (1 + x)⁴⁷ + (1 + x)⁴⁸ = (1 - (1 + x)⁴⁹)/(1 - (1 + x))
= ((1 - (1 + x)⁴⁹)/x)(1/x - 1)
Now, we can use the binomial theorem to expand (1 + x)⁴⁹ and simplify the resulting expression
(1 + x)⁴⁹ = ⁴⁹C₀ + ⁴⁹C₁x + ⁴⁹C₂x² + ... + ⁴⁹C₄₈x⁴⁸ + ⁴⁹C₄₉x⁴⁹
The coefficient of x² is ⁴⁹C₂ + ⁴⁹C₃, which simplifies to (3n + 1)⁵¹C₃. Therefore, we have
⁴⁹C₂ + ⁴⁹C₃ = (3n + 1)⁵¹C₃
We can solve for n by using the formula for binomial coefficients
ⁿCᵣ = n!/(r!(n-r)!)
Substituting this into the above equation and simplifying, we get
(49 × 48)/(2 × 1) + (49 × 48 × 47)/(3 × 2 × 1) = (3n + 1) × (3n) × (3n - 1) × ... × (3n - 50)
Simplifying the left-hand side and dividing both sides by (3n + 1), we get
(49 × 16) + (49 × 24 × 47)/(3 × 2) = (3n) × (3n - 1) × ... × (3n - 50)
784 + 2,352 = (3n) × (3n - 1) × ... × (3n - 50)
3,136 = (3n) × (3n - 1) × ... × (3n - 50)
Since 3n is a factor of the right-hand side, we can write
3n × k = 3,136
where k is a product of the remaining factors on the right-hand side. Since n is the smallest positive integer that satisfies this equation, we can start by letting n = 1 and finding the smallest factor k that is divisible by 3. We find that k = 16 × 31 × 32 × ... × 99. Therefore, the value of n is 1
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--The given question is incomplete, the complete question is given
" Let m be the smallest positive integer such that the coefficient of x²
in the expansion of (1 + x)² + (1 + x)³ + (1 + x)⁴ + ........... + (1 + x)⁴⁹ + (1 + x)⁵⁰
is (3n+1)⁵¹C₃
for some positive integer n. Then the value of n is-"--
