The solution to the system of equations, y = -2x and y = -6x + 36, is: (9, -18).
How to Solve a System of Equations by Substitution?Given the following equations of the system as:
y = -2x --> eqn. 1
y = -6x + 36 --> eqn. 2
To solve, substitute y = -2x into equation 2:
-2x = -6x + 36
Solve for x
-2x + 6x = 36
4x = 36
x = 9
To find the value of y, substitute x = 9 into equation 1:
y = -2(9)
y = -18
The solution is: (9, -18).
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Mmusi borrows an amount of money from Aggie. After two years, Mmusi pays back money, plus 18% simple interest per year. He has to pay back an amount of R4080 much money did he borrow from Aggie?
The required, Mmusi borrowed R3000 from Aggie as per the given conditions.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.
Amount = Principal [1 + rate×time]
Let's call the amount Mmusi borrowed from Aggie "P".
After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P
So if he has to pay back R4080, we can set up an equation to solve for P:
1.36P = 4080
To find P, we can divide both sides by 1.36:
P = 4080 / 1.36 = 3000
So Mmusi borrowed R3000 from Aggie.
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A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?
Answer:
60 ft
Step-by-step explanation:
a² + b² = c²
20² + 15² = c²
c = √625
c = 25
total distance = 20 ft + 15 ft + 25 ft = 60 ft
Jake wants to make a garden with a border in the corner of his yard. He has lumber in several different lengths. Which three lengths could NOT be used to make a right triangle to fit into the corner of his yard?
Answer:
10ft,15 ft, 12ft
Step-by-step explanation:
2. 1. Calculate the interest if the principal is $300, the interest rate is 7% and the time is 2 years.
Answer:
$42
Step-by-step explanation:
Given
Principal (P) = $300
rate of interest (R) = 7%
Time (7T) = 2 years
Interest (I) = ?
We know
I = PTR / 100
= 300 * 7 * 2 / 100
= $ 42
Hope it will help :)❤
2+5*___=33
Figure out the blank.
You can use exponents
Answer:
6.2
Step-by-step explanation:
2+5*x=33
5*x=33-2
5*x=31
X=31/5
X=6.2
En 2018 la empresa SAC-OLC fabrico 24000 ollas, si cada dia se fabricaron 80 ollas ¿cuantos dias no se trabajaron en la empresa?
Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.
En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:
n = 24000/80 = 300.
El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:
365 - 300 = 65.
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Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
Consider the following problem of string edit using the dynamic programming technique. The string X= "a b a b" needs to be transformed into string Y= "b a b b"
(i) Create the dynamic programming matrix with alphabets of string ’X’ along the rows and alphabets of string ’Y’ along the column entries. Calculate the min cost entries for the full matrix. Give the detailed calculation of min cost for at least two entries of the matrix. (8 marks)
(ii) Calculate min cost solutions by tracing back the matrix entries from bottom right. (4 marks)
(i) The dynamic programming matrix with the min cost entries for the given strings is as follows: ''1 2 1 2 3; 2 1 2 1 2; 3 2 1 2 3; 4 3 2 1 2''. (ii) The min cost solutions by tracing back the matrix entries from bottom right are: Substitute 'a' at position 2 with 'b', Substitute 'a' at position 1 with 'a'.
(i) To create the dynamic programming matrix for string edit, we can use the Levenshtein distance algorithm. The matrix will have the alphabets of string X along the rows and the alphabets of string Y along the column entries.
First, let's create the initial matrix:
```
'' b a b b
---------------------
'' | 0 1 2 3 4
a | 1
b | 2
a | 3
b | 4
```
In this matrix, the blank '' represents the empty string.
To calculate the min cost entries, we will use the following rules:
1. If the characters in the current cell match, copy the cost from the diagonal cell (top-left).
2. If the characters don't match, find the minimum cost among three neighboring cells: the left cell (insertion), the top cell (deletion), and the top-left cell (substitution). Add 1 to the minimum cost and place it in the current cell.
Let's calculate the min cost for two entries in the matrix:
1. For the cell at row 'a' and column 'b':
The characters 'a' and 'b' don't match, so we need to find the minimum cost among the neighboring cells.
- Left cell: The cost is 2 (from the previous row).
- Top cell: The cost is 1 (from the previous column).
- Top-left cell: The cost is 0 (from the previous row and column).
The minimum cost is 0. Since the characters don't match, we add 1 to the minimum cost. Thus, the min cost for this cell is 1.
2. For the cell at row 'b' and column 'b':
The characters 'b' match, so we copy the cost from the top-left diagonal cell.
The min cost for this cell is 0.
We can continue calculating the min cost entries for the rest of the cells in a similar manner.
(ii) To trace back the matrix entries from the bottom right and calculate the min cost solutions, we start from the bottom-right cell and move towards the top-left cell.
Using the matrix from part (i), let's trace back the entries:
Starting from the cell at row 'a' and column 'b' (cost 1), we compare the neighboring cells:
- Left cell: Cost 2
- Top cell: Cost 3
- Top-left cell: Cost 0
The minimum cost is in the top-left cell, so we choose that path. We have performed a substitution operation, changing 'a' to 'b'. We move to the top-left cell.
Continuing the process, we compare the neighboring cells of the current cell:
- Left cell: Cost 1
- Top cell: Cost 2
- Top-left cell: Cost 0
Again, the minimum cost is in the top-left cell. We have performed a substitution operation, changing 'b' to 'a'. We move to the top-left cell.
We repeat this process until we reach the top-left cell of the matrix.
The complete sequence of operations to transform string X into string Y is as follows:
1. Substitute 'a' at position 2 with 'b': "a b a b" → "a b b b"
2. Substitute 'a' at position 1 with 'a': "a b b b" → "b a b b"
By following this sequence, we achieve the transformation from string X to string Y with the minimum cost.
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Scott, is saving for a school trip. He needs $199 for the bus tickets, $208 for the motel, and 95$ for the food. The table shows how much money he an his brother, Stephen have saved over a 4-month period. How much money dose Scott need for the trip? Use the table to complete 6--9.
What are you trying to find? Choose the correct answer below.
A. How much money Scott has saved up
B. How much money Stephen has saved up
C. How much more money Stephen needs for the trip
D. How much more money Scott needs for the trip
Answer:
well the answer should be A B to find out how much money they have saved up.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
it asked at the bottom of the how much money Scott needed not Stephen
if r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?
a. 3 (6)-1/2(6) +1
b. (6)/ 2(6)+1
c. 36-1/26+1
d. (6)-1/(6)+1
If the expression \(r(x) = 3x - 1\) and the expression \(s(x) = 2x + 1\) , then the expression equivalent to \(\frac{r}{s} (6)\) is (a) \(\frac{3(6)-1}{2(6) +1}\) .
What are Algebraic Expression ?
The algebraic Expression are defined as the expressions that are written with the combination of variables and constants joined by mathematical operators , For Example : \(3x+7\) .
Here the two expressions are given as \(r(x) = 3x - 1\) and \(s(x) = 2x + 1\) ;
we have to find equivalent expression for \(\frac{r}{s} (6)\) ;
By the Division Property of Algebraic Expression ;
it can be written as : \(\frac{r(6)}{s(6)}\) ;
So , Substituting \(x=6\) , in r(x) ,
we get ; \(r(6) = 3(6) - 1\) , ......equation(1)
On Substituting \(x=6\) , in s(x) ,
we get ; \(s(6) = 2(6)+1\) , ....equation(2) ;
Substituting the values of r(6) and s(6) from equation(1) and equation(2) in \(\frac{r(6)}{s(6)}\) ;
we get ;
⇒ \(\frac{r(6)}{s(6)} = \frac{3(6)-1}{2(6) +1}\) ;
Therefore , the expression equivalent to \(\frac{r}{s} (6)\) is \(\frac{3(6)-1}{2(6) +1}\) .
The given question is incomplete , the complete question is
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to r/s(6) ?
(a) \(\frac{3(6)-1}{2(6) +1}\)
(b) \(\frac{(6)}{2(6)+1}\)
(c) \(\frac{36-1}{26+1}\)
(d) \(\frac{(6)-1}{(6)+1}\)
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An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time? Please Show All Work!!!!
An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
Please show all work!!!!
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
What is the bottleneck?In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.
Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55
Given,
Assembly line has 10 stations
Throughput time is 55
The formula for bottleneck time is:
Bottle neck time = Total stations/Throughput time ×100
= 10/55 ×100
= 18.18%
The bottleneck time is 18.18%. Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?
a. 18.18% of the throughput time
b. 100% of the throughput time
c. 550% of the throughput time
d. 50% of the throughput time
e. 1.82% of the throughput time
1) make c the subject of of the formula v=c/4-5
2) Make p the subject of the formula q-p=3p+5
Answer:
1)c = -v 2)(q-5)/4
Step-by-step explanation:
v = c/4-5
v = c/-1
c = -v
q-p=3p+5
q = 4p+5
q-5 = 4p
p = (q-5)/4
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
77 kL ____ 77mL
Is it
<
>
=
Answer:
>
Step-by-step explanation:
The ratio of kL to mL is 1,000,000. So 77 kL is equal to about 77,000,000 mL. Meaning 77 kL > 77 mL.
Five times a number gives the same answer as adding 24 to the number.
What is the number?
Answer:
I think it 4.5
Step-by-step explanation:
investment risk investors not only desire a high return on their money, but they would also like the rate of return to be stable from year to year. an investment manager invests with the goal of reducing volatility (year-to-year fluctuations in the rate of return). the following data represent the rate of return (in percent) for his mutual fund for the past 12 years. 13.8 15.9 10.0 12.4 11.3 6.6 9.6 12.4 10.3 8.7 14.9 6.7 (a) verify that the data are normally distributed by constructing a normal probability plot. (b) determine the sample standard deviation. (c) construct a 95% confidence interval for the population standard deviation of the rate of return. (d) the investment manager wants to have a population standard deviation for the rate of return below 6%. does the confidence interval validate this desire?
The normal probability plot suggests the data is approximately normally distributed. The sample standard deviation of given data is 3.13. The 95% confidence interval for the population standard deviation is (1.85, 6.28). The investment manager's desire for a population standard deviation below 6% is validated by the confidence interval.
To construct a normal probability plot, we first need to sort the data in ascending order:
6.6, 6.7, 8.7, 9.6, 10.0, 10.3, 11.3, 12.4, 12.4, 13.8, 14.9, 15.9
Then we can plot the ordered data against the expected values of a normal distribution with the same mean and standard deviation as the sample. The plot shows that the points follow a roughly straight line, which suggests that the data is roughly normally distributed.
To determine the sample standard deviation, we can use the formula:
s = sqrt[(∑(xi - x)²) / (n - 1)]
where xi is the rate of return for each year, x is the sample mean, and n is the sample size.
Sample mean:
x = (13.8 + 15.9 + 10.0 + 12.4 + 11.3 + 6.6 + 9.6 + 12.4 + 10.3 + 8.7 + 14.9 + 6.7) / 12 = 11.433
Sample standard deviation:
s = sqrt[((13.8 - 11.433)² + (15.9 - 11.433)² + ... + (6.7 - 11.433)²) / (12 - 1)]
= 3.059
Therefore, the sample standard deviation is 3.059.
To construct a 95% confidence interval for the population standard deviation of the rate of return, we can use the formula:
CI = [(n - 1) * s² / χ²(α/2, n-1), (n - 1) * s² / χ²(1-α/2, n-1)]
where n is the sample size, s is the sample standard deviation, χ² is the chi-square distribution, and α is the level of significance (1 - confidence level).
For a 95% confidence level and 11 degrees of freedom (n - 1), α = 0.05/2 = 0.025. From the chi-square distribution table with 11 degrees of freedom, we can find the critical values as follows:
χ²(0.025, 11) = 2.201 and χ²(0.975, 11) = 23.337
Plugging in the values, we get:
CI = [(12 - 1) * 3.059² / 23.337, (12 - 1) * 3.059² / 2.201]
= [1.946, 26.557]
Therefore, we can say with 95% confidence that the population standard deviation of the rate of return is between 1.946 and 26.557.
The investment manager wants to have a population standard deviation for the rate of return below 6%. The confidence interval (1.946, 26.557) does not validate this desire, as it includes values above 6%. Therefore, based on the sample data, the investment manager cannot be confident that the population standard deviation is below 6%.
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what does the following indicate in a genogram:
1. square
2. circle
3. solid horizontal line
4. broken line
5. X through a square/circle
6. solid verticle line
In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:
1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.
2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.
3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.
4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.
5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.
6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.
These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.
Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.
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anemia for the study of jordanian children in exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. a significance test yields a p-value of 0.0016. (a) interpret the p-value in context. (b) what conclusion would you make if a 0.05? a 0.01? justify your answer.
(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.
(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.
If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.
Anemia Study Results(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.
(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.
If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.
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let f(x) = x3 2x2 7x − 11 and g(x) = 3f(x). which of the following describes g as a function of f and gives the correct rule?
The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
The correct rule to describe the function
g(x) = 3f(x)
in terms of the function f(x) = x³-2x²+7x-11 is that
g(x) = 3(x³-2x²+7x-11) and thus
g(x) = 3x³-6x²+21x-33.
In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.
Therefore, g(x) = 3f(x) means that g(x) is three times f(x).
Thus, we can obtain g(x) as follows:
g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33
Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that
g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
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.Donna, a 20-year-old single taxpayer, supports her mother, who lives in her own home. Her mother has income of $1,350. What should the amount of credit be?
The child tax credit and other dependent credit if we assume that there are no limitations is $500
How to determine the credit amountFrom the question, we have the following highlights
Donna pays taxDonna is singleDonna supports her motherDonna and her mother do not live togetherBecause they do not live together, then it means that she is her dependent.
For an income of $1350, the amount of credit is $500.
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Which number line model represents the expression -2+(-7)?
Khan academy help!!!!!
Answer
is should be -9 but I dont see a model on your question.
Step-by-step explanation:
i give yall crown please help me i need sm help PLEASEEEEEEEEEEEEEEEEEEEEEEEEE dont bs
Answer:
(-1, 7)
Step-by-step explanation:
Step 1 - Make the two equations equal the same:
3x + y = 4
2x + y = 5
Add 1 to the first equation:
3x + y + 1 = 5
2x + y = 5
3x + y + 1 = 2x + y
Step 2 - Subtract 2x from both sides to isolate y:
3x + y + 1 = 2x + y
3x - 2x + y + 1 = 2x - 2x + y
x + y + 1 = y
Step 3 - Subtract y from both sides:
x + y + 1 = y
x + y - y + 1 = y - y
x + 1 = 0
x = -1
Step 4 - Plug known variable back into the first equation:
3x + y = 4
3(-1) + y = 4
-3 + y = 4
Step 5 - Add 3 to both sides to isolate the y:
-3 + y = 4
-3 + 3 + y = 4 + 3
y = 7
Meaning the two coordinates are:
x = -1
y = 7
Or:
(-1, 7)
Hope this helps!
Graph both equations
We use the graphical way to solve it
Solution is
(-1,7)Option A
m-(5-3m)=7m+10
What is m?
Answer:−(5−3m)=7m+10
m+−1(5−3m)=7m+10(Distribute the Negative Sign)
m+(−1)(5)+−1(−3m)=7m+10
m+−5+3m=7m+10
(m+3m)+(−5)=7m+10(Combine Like Terms)
4m+−5=7m+10
4m−5=7m+10
Step 2: Subtract 7m from both sides.
4m−5−7m=7m+10−7m
−3m−5=10
Step 3: Add 5 to both sides.
−3m−5+5=10+5
−3m=15
Step 4: Divide both sides by -3.
−3m
−3
=
15
−3
m=−5
Step-by-step explanation:
brainliest pleaseee
If you meet all the criteria for an independent t-test, but do not satisfy the assumption of normality, you should technically _________________________.
a. redo the experiment
b. visit your therapist
c. ignore it
d. do a non-parametric test
If you meet all the criteria for an independent t-test but do not satisfy the assumption of normality, you should technically do a non-parametric test instead of an independent t-test.
So, the correct answer is D.
What's Non-parametric testsNon-parametric tests do not require the data to be normally distributed, unlike parametric tests such as t-tests. Non-parametric tests include the Mann-Whitney U test, Wilcoxon rank-sum test, and Kruskal-Wallis test.
These tests are based on ranks rather than the actual values of the data and are generally less powerful than parametric tests, meaning that they may require larger sample sizes to achieve the same level of statistical significance.
It is important to choose the appropriate statistical test for your data to ensure accurate results and conclusions. Simply redoing the experiment or ignoring the violation of the normality assumption is not a valid solution.
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the starting number is $42.51 please help me with math
Answer:
The answer is a).
Step-by-step explanation:
$42.51 + $4.25 = $46.76
3. an farmer is testing to see how different amounts of nitrogen infused in the soil will impact the height of her corn plants. she puts two corn plants into two pots. one is filled with nitrogen infused soil and the other is not. she puts the regular soil pot outside and the nitrogen infused plant in her bathroom. the corn in the regular soil grows to 7 feet tall and the corn in the nitrogen soil grows to 2 feet tall. what are her variables?
The variables of farmer are independent variables and dependent variables.
In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:
1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).
2. Dependent variable: The height of the corn plants (measured in feet).
However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.
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fourthBits - return an int with every 4th bit set to 1 ∗ Example: fourthBits ()=−2004318072 ∗ Hint: Each hex digit will have the MSB=1 and other bits as 0 ∗ Legal ops: !∼&∧∣+⟨<>> ∗ Max ops: 8 ∗ Rating: 2 ∗/ int fourthBits(void) \{ return 2; \}
To return an int with every 4th bit set to 1, we use a binary number that has all its 4th bits set to 1s and 0s everywhere else.
This can be done by creating a hex number where each hex digit has the MSB = 1 and all other bits as 0.
In this case, we are to set every 4th bit to 1 and return the integer. We will use a hex number to represent the binary representation of the integer. We can create a hex number where each hex digit has the MSB=1 and all other bits as 0 since the legal ops allow us to perform bitwise manipulation operations.
Here is how we can solve the problem: int fourth Bits(void){ return 0xAAAAAAAA; }
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Please help with that question
Answer:
I know just this solution
HELPP ME PLEASE I NEED HELP
Answer:
See below.
Step-by-step explanation:
The equation is this
A= 1/2bh
We plug in the equation and we get this
A= 1/2 (14)(24)
Let's do the math.
A= 1/2 (336)
A= 168
That's your answer. ✌️
I hope this helps!
I just need this and that it