Answer:
a) Matrix with 3 rows and 2 columns. Row 1 shows 10 and 1, row 2 shows -4 and -4, and row 3 shows -6 and 4
Step-by-step explanation:
To find the sum of two matrices, we simply add the corresponding elements of the two matrices. In this case, we need to add Matrix A and Matrix B.
Matrix A:
| 6 -2 |
| 3 0 |
| -5 4 |
Matrix B:
| 4 3 |
| -7 -4 |
| -1 0 |
Adding the corresponding elements, we get:
| 6 + 4 -2 + 3 |
| 3 + (-7) 0 + (-4) |
| -5 + (-1) 4 + 0 |
Simplifying the calculations:
| 10 1 |
| -4 -4 |
| -6 4 |
Therefore, the correct answer is:
a) Matrix with 3 rows and 2 columns. Row 1 shows 10 and 1, row 2 shows -4 and -4, and row 3 shows -6 and 4.
Hope this helps!
The correct answer is a) Matrix with 3 rows and 2 columns. Row 1 shows 10 and 1, row 2 shows negative 4 and negative 4, and row 3 shows negative 6 and 4.
Explanation:The matrices A and B can be added together because they have the same dimensions. In order to perform this operation, you simply add corresponding entries together. Here's how to do this:
The first entry of Matrix A (6) is added to the first entry of Matrix B (4) to get 10.The second entry of Matrix A (negative 2) is added to the second entry of Matrix B (3) to get 1.Follow the same process for the rest of the entries in the matrices. So for the second row, add 3 and negative 7 to get negative 4. Then add 0 and negative 4 to get negative 4. For the last row, add negative 5 and negative 1 to get negative 6 and then 4 and 0 to get 4.Therefore, the matrix resulting from adding Matrix A to Matrix B is a matrix with 3 rows and 2 columns: Row 1 shows 10 and 1, row 2 shows negative 4 and negative 4, and row 3 shows negative 6 and 4. Thus, the correct answer is (a).
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Width of a rectangle is x+7
Length of the rectangle is 3 times the width
Perimeter of the rectangle is 72cm
What is the area of the rectangle?
Answer: 243
Step-by-step explanation: The length of a rectangle is three times its width. If the perimeter is 72cm, then the answer is 243 is the width of the rectangle?
4. If the landing angle at an airport is 4° and you are two miles out and ½ mile high, are you safe to land?
Yes, you are safe to land, If the landing angle at an airport is 4° and you are two miles out and ½ mile high.
Define the final approach.The final approach, also known as the final leg or final approach leg, is the last leg of an aircraft's approach to landing in aviation. During this leg, the aircraft is aligned with the runway and descending for a landing. In aircraft radio lingo, it is frequently abbreviated to "final".
Given,
If the landing angle at an airport is 4° and you are two miles out and ½ mile high,
Yes, you are safe to land.
A normal airport landing pattern calls for aircraft to turn from the base leg to the final within 0.5 to 2 miles of the airport when visual meteorological conditions (VMC) are present. A "straight-in" final approach, when all other legs are skipped, is frequently employed for instrument approaches as well as VFR approaches onto controlled airfields. At American non-towered airports, straight-in approaches are discouraged.
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(4) If lines AC and BD intersects at point O such that LAOB:ZBOC = 2:3, find LAOD.
a. 103
b. 102
C. 108
d. 115°
The measure of LAOD is 180 degrees.
To find the measure of LAOD, we can use the property that the angles formed by intersecting lines are proportional to the lengths of the segments they cut.
Given that LAOB:ZBOC = 2:3, we can express this as a ratio:
LAOB / ZBOC = 2 / 3
Since angles LAOB and ZBOC are adjacent angles formed by intersecting lines, their sum is 180 degrees:
LAOB + ZBOC = 180
Let's substitute the ratio into the equation:
2x + 3x = 180
Combining like terms:
5x = 180
Solving for x:
x = 180 / 5
x = 36
Now, we can find the measures of LAOB and ZBOC:
LAOB = 2x
= 2 × 36
= 72 degrees
ZBOC = 3x
= 3 × 36
= 108 degrees
To find the measure of LAOD, we need to find the sum of LAOB and ZBOC:
LAOD = LAOB + ZBOC =
72 + 108
= 180 degrees
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a model used for the yield Y of an agricultural crop as a function of the nitrogen level n in the soil (measured in appropriate units) isY = kN / 36+N^2where k is a positive constrant. What nitrogen level gives the best yield?
The nitrogen level that gives the best yield function is where the optimal nitrogen level is 6 units.
To find the nitrogen level that gives the best yield, we need to find the maximum value of the yield function Y. To do this, we can take the derivative of Y with respect to N, set it equal to zero, and solve for N.
dy/dN = k(36 - N²)/(36 + N²)²
Setting dy/dN equal to zero, we get:
0 = k(36 - N²)/(36 + N²)²
Solving for N, we get:
N = ±6
Since N has to be a positive value, the optimal nitrogen level is N = 6 units.
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Suggest a variables control chart in the Education field.
Provide the metric and how it is calculated along with how this
information would be tracked and interpreted.
A suggested variable control chart in the education field is a Student Attendance Rate Control Chart. This chart tracks the attendance metric and calculates it as the percentage of students present in a given time period. The information would be tracked regularly, and variations in attendance rates would be interpreted to identify trends and address potential issues.
The Student Attendance Rate Control Chart is a valuable tool in monitoring and managing attendance in educational institutions. The metric tracked on this chart is the attendance rate, which is calculated as the percentage of students present in a specific time period, such as daily, weekly, or monthly.
To track the attendance rate, the educational institution would collect attendance data for each class or session and calculate the percentage of students present. This data can be collected manually or through an automated attendance tracking system. The attendance rate for each time period is plotted on the control chart, allowing for visual representation and tracking over time.
Interpreting the information on the control chart involves analyzing the patterns and variations in the attendance rate. A stable attendance rate would indicate consistent student attendance, while fluctuations or downward trends could indicate potential issues that need attention. By monitoring the control chart, educational institutions can identify periods of low attendance, investigate the reasons behind it, and take appropriate actions such as implementing interventions or improving communication with students and parents to improve attendance rates. The control chart provides a visual representation of attendance patterns and enables proactive measures to be taken to address any attendance-related concerns.
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Can y’all help me please
Answer:
Step-by-step explanation:
ezzzz
Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except length: ; width: 10; height: 3 length: 1; width: 5; height: 7 length: 2; width: 5; height: 3 length: 4; width: 2 ; height: 3
The first and third rectangular prisms have the same volume of 30 cubic units.
The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.
How do we calculate?The volume of each of the rectangular prisms can be calculated as follows:
1. length: 1; width: 10; height: 3
volume = 1 x 10 x 3 = 30
2. length: 5; width: 10; height: 7
volume = 5 x 10 x 7 = 350
3. length: 2; width: 5; height: 3
volume = 2 x 5 x 3 = 30
4. length: 4; width: 2; height: 3
volume = 4 x 2 x 3 = 24
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Which expression is equivalent to 3 x − 2 − 5 2 − 4 x − 2 ? 2x-8/13-5x -5x-8/2x-8 -5x-4/x-2 13-5x/2x-8
The equivalent expression of the expression given as \(\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}\) is (13 - 5x)/(2x - 8)
How to determine the equivalent expression?From the question, the expression is given as
\(\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}\)
Take the LCM of the fractions in the above expression
So, we have
\(\frac{\frac{3 - 5x + 10}{x - 2}}{\frac{2x - 4 - 4}{x - 2}}\)
Evaluate the like terms of the expressions
So, we have
\(\frac{\frac{13 - 5x}{x - 2}}{\frac{2x - 8}{x - 2}}\)
Divide the common factor x -2 in the expression
So, we have
\(\frac{13 - 5x}{2x - 8}\)
Rewrite as
(13 - 5x)/(2x - 8)
The expression cannot be further simplified
Hence, the solution is (13 - 5x)/(2x - 8)
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question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
Are the lines below parallel, perpendicular, or neither?
2y=3x-42y=3x−4
y=\frac{2}{3}x-3y=
3
2
x−3
Parallel
Neither
Perpendicular
Answer:
Neither2y = 3x - 4
y = 2/3x - 3
Step-by-step explanation:
Parallel means the lines never cross. These two lines cross. Perpendicular means they cross and form a 90° angle.
Answer:
NeitherStep-by-step explanation:
Given lines
2y=3x-4 ⇒ y = 3/2x - 4y= 2/3x - 3The lines have different slope so they intersect but they are not perpendicular as perpendicular lines have negative reciprocal slopes
So the answer choice is neither
(7, 14)
(2, 20)
(20, 3)
(0, 13)
Is this relation a function?
yes
no
The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.
Step-by-step explanation:
let x be the number of adults and y number of childrens
so we have. x+y=100 people
and. 12*x+8*y=1056 dollars
x=100-y
replace 100-y to the second equation
12*(100-y)+8y=1056
1200-12y+8y=1056
1200-4y=1055
1200-1056=4y
144=4y
y=144/4=36
so x=100-y=100-36=64
so in this group were 64 adults and 36 childrens
In this group were 64 adults and 36 children.
What is system of equation ?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
let x be the number of adults and y number of children
so we have. x + y = 100 people
and. 12 × x + 8 × y = 1056 dollars
x=100 - y
replace 100 - y to the second equation
12 × (100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
1200 - 4y = 1055
1200 - 1056 = 4y
144 = 4y
y = 144/4 = 36
so x = 100 - y = 100 - 36 = 64
Hence, in this group were 64 adults and 36 children.
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how much does 5000 shekels of bronze weigh
Answer:1250
Step-by-step explanation:
plssssssssss helpppppppp 2q'sssssssssssss
y=5×+630 that's question 1
the other question im not sure
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0
Answer:his balance will be between 0 and 28
Step-by-step explanation:
How many grams are in 1 kilogram?0.0011001,0000.1
Answer:
There are 1000 grams in 1 kilogram.
\(1000\text{ grams}\)Explanation:
Recall that;
\(1\text{ Kilogram = 1000 grams}\)Therefore, there are 1000 grams in 1 kilogram.
\(1000\text{ grams}\)Note:
\(\begin{gathered} \text{Tera }\rightarrow1,000,000,000,000 \\ \text{Giga }\rightarrow1,000,000,000 \\ \text{Mega }\rightarrow1,000,000 \\ \text{Kilo }\rightarrow1,000 \\ Hecto\text{ }\rightarrow100 \\ \text{Deka }\rightarrow10 \\ \text{Deci }\rightarrow\text{ 0.1} \\ \text{centi }\rightarrow0.01 \\ \text{milli }\rightarrow0.001 \\ micro\text{ }\rightarrow\text{ 0.000 001} \\ \text{nano }\rightarrow\text{ 0.000 000 001} \\ \text{ Pico }\rightarrow\text{ 0.000 000 000 001} \end{gathered}\)Someone please help me
This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.
For a function to be possible, each input must map to exactly one output only.
what is the correct ascending order for these numbers1.525/848%
Given the set of numbers:
\(\text{ 1.52, 5/8 and 48\%}\)To be able to determine their correct ascending order, we must first make all the numbers into similar forms.
Let's convert a
A penny, a nickel, a dime, and a quarter are tossed. a. What is the probability of the event of obtaining at least three heads on the tosses? b. What is the probability of obtaining three heads if the first toss is a head?
The probability of obtaining at least three heads on the tosses is 1/8. The probability of obtaining three heads if the first toss is a head is 1/4. There are 2^4 = 16 possible outcomes for the tosses of the penny, nickel, dime, and quarter. There is only one way to get all four heads, and there are four ways to get three heads.
Therefore, the probability of obtaining at least three heads on the tosses is 5/16 = 1/8. If the first toss is a head, there are three possible outcomes for the remaining tosses: HHH, HHT, and HTH. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8 = 1/4.
The probability of obtaining at least three heads on the tosses can be calculated as follows:
P(at least 3 heads) = P(4 heads) + P(3 heads)
The probability of getting four heads is 1/16, since there is only one way to get all four heads. The probability of getting three heads is 4/16, since there are four ways to get three heads (HHHT, HTHH, THHH, and HHHH). Therefore, the probability of obtaining at least three heads on the tosses is 1/16 + 4/16 = 5/16.
The probability of obtaining three heads if the first toss is a head can be calculated as follows:
P(3 heads | first toss is a head) = P(HHH) + P(HHT) + P(HTH)
The probability of getting three heads with a head on the first toss is 3/8, since there are three ways to get three heads with a head on the first toss. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8.
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let p be the price of an item. the unit sales of the item are 200 - 5p. what is the correct formula for the revenue generated by the item?
The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.
The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:
Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2
The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:
dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20
Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:
Revenue = 200(20) - 5(20^2) = $2000
Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.
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the empirical rule assumes that the distribution of data follows a normal curve. group startstrue or falsetrue, selectedfalse, unselected
True. The Empirical Rule, also known as the 68-95-99.7 Rule, assumes that the distribution of data follows a normal curve, which is symmetrical and bell-shaped.
The Empirical Rule is a useful tool for understanding the spread of data in a normal distribution. A normal distribution is a symmetrical, bell-shaped distribution that is characterized by its mean, median, and mode. The mean is the average of all the data, the median is the middle value, and the mode is the most frequently occurring value.
According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean. This means that if you have a normal distribution, and you know the mean and standard deviation, you can estimate that 68% of the data will be within one standard deviation above and below the mean. For example, if the mean of a distribution is 100 and the standard deviation is 10, then 68% of the data will be between 90 and 110.
It's important to note that the Empirical Rule is only applicable to data that follows a normal distribution. In other words, if your data is not normally distributed, the Empirical Rule may not provide an accurate representation of the spread of your data.
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find the area under the standard normal curve to the left of z=−2.9z=−2.9 and to the right of z=0.28z=0.28. round your answer to four decimal places, if necessary.
The area between these two values is approximately 0.3876.
To find the area under the standard normal curve to the left of z=−2.9z=−2.9, we can use a standard normal distribution table or a calculator. Using a calculator, we can find the area to be approximately 0.0021.
To find the area under the standard normal curve to the right of z=0.28z=0.28, we can use the same methods. Using a calculator, we can find the area to be approximately 0.3897.
To find the area between these two values, we can subtract the area to the left of z=−2.9z=−2.9 from the area to the right of z=0.28z=0.28.
Thus, the area between these two values is approximately 0.3876. Rounded to four decimal places, the answer is 0.3876.
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1000 meters makes up a kilometer, what makes up a mile?.
What number could replace b below?
Answer:
1
Step-by-step explanation:
HELP PLEASE! Im struggling
Answer:
c. \( \dfrac{2}{3} \)
Step-by-step explanation:
Let the common ratio be r.
\( a_2 = \dfrac{2}{5} \)
\( a_3 = \dfrac{2}{5}r \)
\( a_4 = \dfrac{2}{5}r^2 \)
\( a_5 = \dfrac{2}{5}r^3 \)
We are told that \( a_5 = \dfrac{16}{135} \).
\( \dfrac{2}{5}r^3 = \dfrac{16}{135}\)
\( \dfrac{5}{2} \times \dfrac{2}{5}r^3 = \dfrac{5}{2} \times \dfrac{16}{135}\)
\( r^3 = \dfrac{8}{27} \)
\( r = \sqrt[3]{\dfrac{8}{27}} \)
\( r = \dfrac{2}{3} \)
Answer: c. \( \dfrac{2}{3} \)
how do i answer this (8th grade math)
i apologize it looks sloppy
24. Find the volume of the pyramid. Round to the nearest hundredth if
necessary.
PLEASE HELP
Answer:
Solution given:
volume of pyramid =⅓area of base×height
=⅓*1*1*1=⅓=0.33yd³
the volume of the pyramid
0.33yd³
y’all please answer quick!!! :)
The mountain man ascends to the summit and then descends on the opposite side in a curved path, considering the route as a curve of a quadratic function Complete the following :
The man's path in pieces:
• Track direction "cutting hole":
•Route starting point: x=
• Path end point: x=
• The highest point reached by the man is the "head": (,)
• Maximum value:
• Y section:
•Axis of Symmetry Equation: x=
• the field:
• term:
The information for the man's path in pieces are added below
Completing the information for the man's path in pieces:The missing figure is added as an attachment, where the equation of the function that passes through the three points is calculated as
f(x) = -x^2/3 - x + 10/3
Using the above as a guide, we have the following:
Track direction "cutting hole":
The track direction of the man's path is downward as the coefficient of x^2 is negative (-1/3).
Route starting point:
From the graph, we have the starting point to be (-5, 0)
Path end point:
From the graph, we have the path end point to be (2, 0)
The highest point
Recall that
f(x) = -x^2/3 - x + 10/3
Differentiate and set to 0
-2x/3 - 1 = 0
So, we have
-2x/3 = 1
This gives
x = -3/2
So, we have
Highest = -(-3/2)^2/3 + 3/2 + 10/3
Highest = 49/12
So, the highest point is 49/12 units high
Maximum value:
This is the same as the highest point
i.e. Max = 49/12
Axis of Symmetry
We have
x = -3/2
This means that axis of symmetry is x = -3/2
The field:
The area under the curve represents the area of the region covered by the man's path on the mountain.
Term:
These are the terms of the function
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fred walks 20 miles toward the north. he turns left and walks 40 miles. he again turns left and walks 20 miles. finally, he walks 20 miles after turning to the left. how far is he from his starting point.
Using vector calculation and analyzing directions, The answer is 20 miles west from the starting point.
What is a vector?An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.
What do you mean by vector addition?The process of adding two or more vectors together to create a vector sum is known as vector addition.
20 miles to north and 40 miles left .
Using triangle law of vector addition, Distance from point at the location = \(\sqrt{20^2 + 40^2}\)
=\(20\sqrt 5\) miles.
Now turns left walks 20miles , Using triangle law of vector addition,
distance from point at the location = \(\sqrt{(20\sqrt 5)^2 - 20^2}\)
=40 miles from location.
This location is horizontally same from the start point.
So he turns left and walks 20miles again.
distance from point= 40-20
=20 miles west of start point.
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