The number of pairs (i, i) that satisfy the given conditions is 1.
The task is to find the number of pairs (i, i) such that the sum of their prices is a power of three, given the prices of n products.
To solve this task, we can follow these steps:
1. Initialize a counter variable, let's call it pairCount, to keep track of the number of valid pairs we find.
2. Iterate over all possible pairs (i, j) of products, where i and j are indices representing the products' prices.
3. For each pair (i, j), calculate the sum of their prices, let's call it sumPrices.
4. Check if sumPrices is a power of three. To do this, we can use the following formula: sumPrices = 3^k, where k is an integer.
5. If sumPrices is a power of three, increment the pairCount variable by 1.
6. After iterating over all pairs, the value of pairCount will represent the number of valid pairs (i, i) such that the sum of their prices is a power of three.
Let's consider an example to illustrate the process:
Suppose we have the prices of 5 products: [10, 3, 4, 5, 9].
We can form the following pairs (i, j) and calculate the sum of their prices:
- Pair (1, 1): prices[1] + prices[1] = 3 + 3 = 6 (not a power of three)
- Pair (1, 2): prices[1] + prices[2] = 3 + 4 = 7 (not a power of three)
- Pair (1, 3): prices[1] + prices[3] = 3 + 5 = 8 (not a power of three)
- Pair (1, 4): prices[1] + prices[4] = 3 + 9 = 12 (not a power of three)
- Pair (1, 5): prices[1] + prices[5] = 3 + 10 = 13 (not a power of three)
- Pair (2, 2): prices[2] + prices[2] = 4 + 4 = 8 (not a power of three)
- Pair (2, 3): prices[2] + prices[3] = 4 + 5 = 9 (a power of three, increment pairCount by 1)
- Pair (2, 4): prices[2] + prices[4] = 4 + 9 = 13 (not a power of three)
- Pair (2, 5): prices[2] + prices[5] = 4 + 10 = 14 (not a power of three)
- Pair (3, 3): prices[3] + prices[3] = 5 + 5 = 10 (not a power of three)
- Pair (3, 4): prices[3] + prices[4] = 5 + 9 = 14 (not a power of three)
- Pair (3, 5): prices[3] + prices[5] = 5 + 10 = 15 (not a power of three)
- Pair (4, 4): prices[4] + prices[4] = 9 + 9 = 18 (not a power of three)
- Pair (4, 5): prices[4] + prices[5] = 9 + 10 = 19 (not a power of three)
- Pair (5, 5): prices[5] + prices[5] = 10 + 10 = 20 (not a power of three)
In this example, we found 1 valid pair (2, 3) such that the sum of their prices is a power of three.
Therefore, the number of pairs (i, i) that satisfy the given conditions is 1.
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In the figure below, a line intersects two parallel lines. Fill in the missing angle measurements. Hint: Think about how you might solve for the measurement by finding angle pair.
(a) =
(b) =
(c) =
(d) =
(e) =
(f) =
All the missing angles of the given image are;
(a) = 145°
(b) = 35°
(c) = 145°
(d) = 35°
(e) = 145°
(f) =35°
How to find the missing angles?The line transversal theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Thus, angle e is a corresponding angle to 145°
Angle f is a corresponding angle to 35°
Similarly, angle b is an opposite angle to 35° while angle c is an opposite angle to 135°
Angle a is opposite to angle e and as such angle a = 145°
Angle d is opposite to angle f and as such angle d = 35°
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Four-fifths of w is added to 4
Answer:
The answer, if it is addition, would be 4 + 4/5w
Step-by-step explanation:
paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
Paul records data that the number of hot chocolates sold increases as temperature outside decreases. The depiction of the finding is "There is a correlation between two variables". So, the correct option is A.
Specifically, the data suggest that there is a relationship between two variables - the number of hot chocolates sold and the temperature outside.
When the temperature outside decreases, more hot chocolates are sold, and when the temperature increases, fewer hot chocolates are sold. This indicates that there is a correlation between the two variables, as they appear to be related.
However, we cannot determine from this information alone whether the correlation is strong or weak, or whether it is positive or negative.
The strength of the correlation would depend on how much the sales of hot chocolate increase or decrease as the temperature changes, while the direction of the correlation (positive or negative) would depend on whether the increase or decrease in hot chocolate sales is associated with an increase or decrease in temperature, respectively.
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Complete question is:
Paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
a) There is a correlation between two variables
b) There is a strong , positive correlation between two variables
c) There is a weak , positive correlation between two variables
d) There is a negative correlation between two variables
PLEASE HELP I NEED HELP!!!!!!!!!!!!!!!!!!
Answer:
y = -3√(x -1) +2
Step-by-step explanation:
You want the equation of the translated, reflected, and scaled square root function in the given graph.
TranslationWe can find the amount of translation by looking at the position of the point that corresponds to (0, 0) on the graph of the parent function. That end point where the slope is vertical is located at (1, 2) on the given graph.
When a function y = f(x) is translated by (h, k), it becomes ...
y = f(x -h) +k
For (h, k) = (1, 2) the translated function is ...
y = f(x -1) +2 = √(x -1) +2
Scale factorWhen the function is scaled, its value is multiplied by the scale factor. If that factor is 'a', our scaled and translated function is ...
y = a√(x -1) +2
To find the scale factor, we can use the second point on the curve: (2, -1). Using these values for x and y gives ...
-1 = a√(2 -1) +2
-3 = a . . . . . . . . . . subtract 2, simplify
The transformed function is ...
y = -3√(x -1) +2
__
Additional comment
The function is scaled before it is translated, so the scale factor does not apply to the translation.
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Triangle JKL is shown below.
K
84
67
L
M
What is the measure of KLM?
Answer:
29
Step-by-step explanation:
sum of angles in a triangle=180°
180-(67+84)=29°
if Brian is driving 50 miles per hour how far did he drive
Answer:
2.5 km long after 59 miles
Answer:
50 miles
Step-by-step explanation:
which angle is vertical to < 3
Answer:
angle 1
Step-by-step explanation:
Answer:
Angle 1
Step-by-step explanation:
Vertical usually means across so 1 is across 3 and if I'm wrong then oh well
Someone please help for 15 points!!!
Answer:
With what nothing there
Step-by-step explanation:
An element with a mass of 700 grams decays by 6.1% per minute. To the nearest
tenth of a minute, how long will it be until there are 220 grams of the element
remaining?
Answer:
11.2 minutes
Step-by-step explanation:
If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g
The mass remaining after a minute = 657.30g
The equation that can be used to solve this question is :
700 - 42.7m = 220
m = minutes
Collect like terms
700 - 220 = 42.7m
480 = 42.7m
divide both sides of the equation by 42.7
m = 11.241218 minutes
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes
Answer:
18.4
Step-by-step explanation:
I answered the question
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
\(\frac{-1}{5}\) = \(\frac{5x}{5}\)
No we see that:
x = \(-\frac{1}{5}\)
The key concepts used to convert units between different systems of measurement are shown without the final two
steps.
1. Identify the units of measure to be converted,
2. Write conversion factors,
3. Cancel units.
4.
5.
Which two steps will complete the list correctly?
4. Divide the original measurement by the conversion factors.
5. Check for reasonableness,
4. Multiply the original measure by the conversion factors.
5. Simplify the answer.
4. Multiply the original measure by the conversion factors.
5. Check for reasonableness,
4. Divide the original measure by the conversion factors.
The final two steps used to convert units between different systems of measurement are given by;
Option C; 4. Multiply the original measure by the conversion factors.
5. Check for reasonableness
To answer this question, let us take an example of converting from inches to centimeters.
Let us convert 10 inches to centimeters.
First step is to identify the measure to be converted which in this case it is inches that is the measure.
Second step is to write the conversion factors which is;
1 inch = 2.54 cm
Third step is to cancel the units; In this case the units to be canceled will be inches.
Fourth step is to multiply the original measurement by the conversion factor to give; 10 × 2.54 cm = 25.4 cm
Fifth step is to check for reasonableness by trying to check if using another number will give a reasonable answer.
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Answer: The final two steps used to convert units between different systems of measurement are given by;
Option C; 4. Multiply the original measure by the conversion factors.
5. Check for reasonableness
To answer this question, let us take an example of converting from inches to centimeters.
Let us convert 10 inches to centimeters.
First step is to identify the measure to be converted which in this case it is inches that is the measure.
Second step is to write the conversion factors which is;
1 inch = 2.54 cm
Third step is to cancel the units; In this case the units to be canceled will be inches.
Fourth step is to multiply the original measurement by the conversion factor to give; 10 × 2.54 cm = 25.4 cm
Fifth step is to check for reasonableness by trying to check if using another number will give a reasonable answer.
I need help. What does n equal.
\(5n^{2}=7n-2\)
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
Image is attached. Please help, will mark brainliest. :)
Answer:
208 feet
Step-by-step explanation:
We have to multiply 4x4 to get 16, and since there looks like there are 5 small squares we multiply 5x16 to get 80. And then there are 2 bigger squares that are 8x8 to get 64, then we multiply by 2 to get 128, then we add 80 (the sum of the 5 smaller squares) to get to a total of 208.
can someone help quick I will give brainlest.
Answer:
The answer is -2
Step-by-step explanation:
8-4 = 4
4÷-2 = -2
Help pleaseeeeeeeeeee
Answer:
3(x+5)
hope it helps you
What is the solution to -2(2x - 3)= 4 - (3x + 5)?
Answer:
x=7
Step-by-step explanation:
expand -2(2x-3): -4x+6
expand 4-(3x-5): -3x-1
it's now -4x+6=-3x-1
subtract 6 from both sides
-4x+6-6=-3x-1-6
simplify
-4x=-3x-7
add 3x to both sides
-4x+3x=-3x-7+3x
simplify
-x=-7
divide both sides by -1
\(\frac{-x}{-1}\)=\ \(\frac{-7}{-1}\)
simplify
x=7
sorry for the lengthy explanation hope this helps :) have a nice day !!
How many hex digits are required to represent decimal numbers up to 1,999? how many bits are required?
To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.
The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.
1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).
124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).
7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).
Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.
To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.
Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.
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Someone Help me please.
Answer: 64 ounces
Step-by-step explanation:
Let's start with what we know:
1 pound = 16 ounces, so
4 pounds would equal
64 ounces!
Answer:
64 oz
Step-by-step explanation:
1lb =16oz so you multiply 16 by 4 and you get 64
The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c
Answer:
m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3\( {(a + b)}^{2} \div 3c\)What are the factors of -7 pls explain!
Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
The probability that he will reach out into his pocket and pull out a $10 bill each time is 1/7. The correct option is the second option 1/7
Calculating the Probability of pulling out a $10 billFrom the question, we are to determine the probability of William pulling out a $10 bill twice without replacement
The probability of pulling out a $10 bill on the first draw is 3/7, since William has three $10 bills out of a total of seven bills in his wallet.
Since William does not replace the first bill when he pulls out the second one, there will be one less bill in the wallet for the second draw. Therefore,
The probability of pulling out another $10 bill on the second draw is 2/6 (since there will be two $10 bills left out of six bills in the wallet).
Thus,
The probability that he will reach out into his pocket and pull out a $10 bill each time is
P(two $10 bill) = 3/7 × 2/6
P(two $10 bill) = 3/7 × 1/3
P(two $10 bill) = 1/7
Hence, the probability is 1/7
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Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is true. B. The statement is false. A sampling distribution is normal only if n≥30. C. The statement is false. A sampling distribution is normal if either n≥30 or the population. D. The statement is false. A sampling distribution is never normal.
A sampling distribution is normal only if the population is normal. This statement is false because A sampling distribution is normal only if n≥30.
If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values above 30, but after a certain threshold the x(bar) distribution is effectively "normal".
Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.
A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.
In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.
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Help I’m failing math
Answer:
can you send a more clear photo its quite blurry
Find the value of g when 59+ 12 equals 29 + 18.
Answer:
i dont know if you typed this correctly but 59+12=29+18 is false
Step-by-step explanation:
i know if what your looking for but o well
Here are several function rules. Calculate the output for rules 1–5 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for π
.
Answer: 13,36,-2,-2,pi
Step-by-step explanation:
You do exactly what it says for the rule to -6 to get your answer.
Brad took 5 kicks and made 4 goals: 4/5
Sydney will take 10 shots and she wants to make an equivalent fraction of the goals. How many goals must She make?
4/5 x ?/? = ?/10
Answer: 8/10
Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10
Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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What are the Examples of Adding Fractions with Unlike Denominators
2/3 + 1/4 = 11/12
Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.
Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.
When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.
Here are a few examples of adding fractions with unlike denominators:
2/3 + 1/4
We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.
So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.
We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.
Now we can add the fractions by adding the numerators: 8/12 + 3/12 =
1/5 + 2/7
We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.
So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.
We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.
So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.
We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.
Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12
So, 3/4 + 1/3 = 13/12
It's important to note that when adding fractions, it's also important to simplify the final result if possible.
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Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
WStep-by-step explanation:
\(hii\)
have a nice day ✌️✌️
hope this helps you ✌️✌️✌️
Find each missing measure.
Answer:
m∠R=74° m∠Q=32°
Step-by-step explanation:
PQ=RQ
So ΔPQR is a isosceles triangle
So m∠R=m∠P=74°
m∠Q=180°-m∠R-m∠P=180°-74°-74°=32°