Answers
=======================================================
Explanation:
Check out the diagrams below. I posted two of them. Start with figure 1.
Notice how I've copied the first two columns and placed them on the right side of the matrix.
After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.
Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.
Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.
The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.
You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.
Related Questions
22 PLUS 4X OPEN PARENTHESIS 3 MINUS 1 CLOSE PARENTHESIS
Answers
Therefore, 22 + 4x(3 - 1) simplifies to 30.
To simplify the expression 22 + 4x(3 - 1), we can apply the order of operations (PEMDAS/BODMAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's simplify the expression step by step:
Evaluate the expression within the parentheses:
3 - 1 = 2
Now the expression becomes: 22 + 4x2
Perform the multiplication:
4 x 2 = 8
Now the expression becomes: 22 + 8
Finally, perform the addition:
22 + 8 = 30
Therefore, 22 + 4x(3 - 1) simplifies to 30.
The number of entertainment websites in 1995 was 54. By 2004, there were 793 entertainment websites.
Approximately what was the rate of change for the number of websites for this period of time?
Answers
Answer:
13.69%
Step-by-step explanation:
793-54=739
739/54=13.68518519
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
Answers
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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which type of statement has the form if a then B?
Answers
Answer:
A Conditional Statement
Answer:
Conditional would have that form.
A tile measures 10cm by 10cm. How many such tiles are required to cover a wall of size 4m and 2.5m?
Pls do NOT spam
Answers
Answer:
Step-by-step explanation:
[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles
Answer: 1000
Step-by-step explanation:
10xm×10cm=100cm
400cm×250cm=100000cm
100000cm²÷100cm²=1000
Kellen is having friends over for dinner and needs to buy chicken. He is looking for the best deal. There are three package options for the chicken.
3 lbs. for $15.39
2 lbs. for $9.19
1 lb. for $7.05
Answers
Answer:
But the 2lbs.
Step-by-step explanation:
Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.
You're welcome.
A 30-inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answers
Answer:
Step-by-step explanation:
Length of:
First piece = x
Second piece = 4x
Third piece = 5x
Equation: 30 = 4x + 5x + x
Solving the Equation:
10x = 30
x = 3
Lengths of:
First piece = 3 inches
Second piece = 12 inches
Third piece = 15 inches
A town population is 50,000 in 2018. The population has been growing at a rate of 3.7% each year. What is the estimated population of 2025?
Answers
Answer:
The formula for exponential growth is: Total = Starting value(1 + rate)^time
2018 to 2025 is 7 years:
Step-by-step explanation:
Total = 50,000(1+0.037)^7
Total = 50,000(1.037)^7
Total = 64,479 -(Answer)
Evaluate function f(x) = 5x - 3 f(5) =
Answers
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
Answers
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Find the value of x (this is the angles of a triangle)
(X-13)+x+(×/5+6)=180
Answers
Answer:
72 85 23
Step-by-step explanation:
Equation
(x - 13) + (x/5 + 6) + x = 180 Multiply the equation by 5
Solution
5(x - 13) + 5(x/5 + 6) + 5x = 180*5 Remove the brackets
5x - 65 + x + 30 + 5x = 900 Combine like terms on the left
11x - 35 = 900 Add 35 to both sides
35 35
11x = 935
x = 85
Answer
x - 13 = 85 - 13 = 72
x = 85
x/5 + 6 = 17 + 6 = 23
Total = 180
It might be easier not to multiply through by 5 at the beginning
(x - 13) + (x/5 + 6) + x = 180 Remove the brackets
x - 13 + x/5 + 6 + x = 180 Combine like terms
2x + x/5 -- 7 = 180
x/5 = .2x Put 0.2x in for x/5
2.2x - 7= 180 Add 7 to both sides
7 7
2.2x = 187 Divide by 2.2
x = 187/2.2
x = 85
Take your pick. Both methods will give the same answer.
Point C is located at the origin.
Answers
a The slope of line £ is 3/4.
b The equation for £ is y = 3/4x + 3.
c The radius of OC is 5.
d The distance from £ to OC along the y-axis is 3.
How to calculate the valueThe slope of a line is the change in y over the change in x. In this case, the change in y is 3 and the change in x is 4. So, the slope of line £ is 3/4.
The equation for a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 3/4 and the y-intercept is 3. So, the equation for £ is y = 3/4x + 3.
The radius of a circle is the distance from the center to any point on the circle. In this case, the center of the circle is at the origin, which is at (0, 0). The point on the circle is at (-4, 3). So, the radius of the circle is the distance from (0, 0) to (-4, 3).
This distance can be found using the Pythagorean theorem:
r² = 4² + 3²
r² = 25
r = 5.
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The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
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Answers
Answer:
The miles travelled is the independent variable.
The cost is the dependent variable.
Step-by-step explanation:
hope this helps ;)
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
37×2=74
360-74 = 286
286 ÷ 2=143
Of course, if AD and BC , and also BA and CD are even.
a golf ball is hit along a sloped surface. the objective is to determine time distance and speed when it lands.
Answers
To accurately determine the time, distance, and speed when a golf ball is hit along a sloped surface, you would need to measure the ball's initial velocity, the angle of the slope, and the acceleration due to gravity.
With these measurements, it would be possible to calculate the time and distance the ball traveled, as well as its speed at the moment it lands.
To calculate the time, distance, and speed when a golf ball is hit along a sloped surface, one must measure the ball's initial velocity, the angle of the slope, and the acceleration due to gravity. With these measurements, one can then calculate the ball's time, distance, and speed when it lands.
The complete question is :
A golfer is hitting a golf ball along a sloped surface. The ball is hit with an initial velocity of 50 m/s at an angle of 30 degrees to the horizontal. Determine the time, distance and speed when the ball lands.
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The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends.
Answers
Answer:
The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:
\(0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}\)
In which n is the sample size of the survey.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends.
This means that \(\pi = 0.72\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
Confidence interval:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}\)
The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:
\(0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}\)
In which n is the sample size of the survey.
pls help asap i have a time limit will mark brainliest
Answers
Answer:
answer is D
Step-by-step explanation:
A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answers
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Sum of 5 and 9 less than 17
Answers
Answer:
15?
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
5+9=14
14-17=-3
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
spent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Daniel spent.
The equation that can be used to determine how much Daniel has spent is
Daniel spent $
!WORTH ALL MY POINTS!
ASAP
Answers
Answer:
Daniel spent $ 19.
Step-by-step explanation:
Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:
Daniel: X
Tracy: 2X - 28 = 10
2X - 28 = 10
2X = 10 + 28
X = 38/2
X = 19
2x19 - 28 = X
38 - 28 = X
10 = X
So, Daniel spent $ 19.
Question:
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $
Answer:Daniel $ 19.gary is getting a wi-fi hotspot that cost $35 and had a monthly data plan of $20/month.how much would he spend over the course of 2 years
Answers
Answer:
515$
Step-by-step explanation:
Because 20$=1 month
1 year=12 months
12 months=240$
2 years=24 months
20x24=480+35$ for the hotspot in the first place=415
select the option for ? 3, 5, 12, 55, 648, ?
Answers
Answer:
What option are you talking about for, is it for your quiz or for your classwork
HELp ASAP!!!! Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell? (5 points)
a
43 + 3n ≥ 70, so n ≥ 9
b
43 + 3n ≤ 70, so n ≤ 9
c
43 + 3n ≥ 70, so n ≥ 24
d
43 + 3n ≤ 70, so n ≤ 24
Answers
The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?
A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined
Answers
The reasonable domain for the function is (b) x > 0
What is a reasonable domain for the function?From the question, we have the following parameters that can be used in our computation:
The function f(x) = 75x + 100
Where x is the number of hours
f(x) is the total cost.
In this case, the number of hours cannot be negative or 0
This means that the values of x in the function would be x > 0
These values of x are the domain
So, the reasonable domain for the function os (b) x > 0
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What type of move takes Figure A to Figure B?
Answers
Image B is on the opposite side of the Y axis and the image is upside down from what image A is.
This would be a 90 degree rotation.
Answer:
rotation of 180 degrees
Step-by-step explanation:
in this type of rotation : (x, y) --> (-x, -y)
Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
Answers
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
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which fraction has an equivalent decimal value that repeats
Answers
Answer:
The answer is 2/3
Step-by-step explanation:
2/3 = 0.6666666666... with it repeating forever
Answer:
2/3
Step-by-step explanation:
The answer you selected is correct.
The decimal form of 2/3 is 0.66666666 (it repeats forever), unlike the other three:
3/4 = 0.75
4/5= 0.80
7/8= 0.875
The points (2, 100) and (4, 105) are found on a line.
Which function models the relationship between the two points?
A
y=−0.4x+100.8
B
y=0.4x+103.4
C
y=−2.5x+105
D
y=2.5x+95
Answers
I think its c
Step-by-step explanation:
Hello again! Can someone please help me solve this problem? I need the x and y and an explanation please!
Answers
let's recall that in an isosceles triangle, twin sides stemming from a common vertex make twin angles at the base. Check the picture below.
A recipe requires for ⅜ cups of sugar for each cup of flour used. If a baker uses 6 cups of flour, what is the total amount of sugar that will be needed? Show your work. (4.NE.4),
Answers
Answer:
3 cuuuuuuuuuuuuuupsssssss offfccccdd saaaaaaaallllytttt