The transformed matrix, after interchanging R1 and R2, is:
2 9 4 5
8 -2 1 7
1 4 -4 9
To interchange rows R1 and R2, we swap the positions of the first and second rows in the matrix. This operation can be performed by physically swapping the rows or by using the properties of matrix operations. Let's apply this row operation to the given matrix:
Original matrix:
8 -2 1 7
2 9 4 5
1 4 -4 9
Interchanging R1 and R2, we get:
2 9 4 5
8 -2 1 7
1 4 -4 9
After switching R1 and R2, the modified matrix is:
2 9 4 5
8 -2 1 7
1 4 -4 9
In the transformed matrix, the original first row (8 -2 1 7) becomes the second row, and the original second row (2 9 4 5) becomes the first row. The remaining rows (R3) remain unchanged.
Therefore, R1 and R2 are switched, and the resulting matrix is:
2 9 4 5
8 -2 1 7
1 4 -4 9
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You are given a binary min heap of height h. The minimum and maximum
number of comparisons we might have to do when inserting the next value (in terms of h)
is:
A binary min heap of height h, the minimum number of comparisons when inserting the next value is 1, and the maximum number of comparisons is h.
To determine the minimum and maximum number of comparisons needed when inserting the next value in a binary min heap of height h, follow these steps:
Minimum number of comparisons:
1. The minimum number of comparisons occurs when you insert a value smaller than the root of the heap.
2. In this case, you only need to compare the new value with the root.
3. So, the minimum number of comparisons is 1.
Maximum number of comparisons:
1. The maximum number of comparisons occurs when you insert a value greater than all the existing elements in the heap.
2. In this case, you need to compare the new value with all the nodes along the height of the heap.
3. Since a binary heap has a height of h, the maximum number of comparisons is h.
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How do you do this question?
Step-by-step explanation:
This is a geometric series, where the first term is -5 and the common ratio is -⅔.
aₙ = -5 (-⅔)ⁿ⁻¹
An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 \(cm^2\) / 2
Area = 8.75 \(cm^2\)
Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Mathematics
Find the rate
What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?
Show your solution, HELP PLS ASAP!!!
I'LL GIVE 20 POINTS!!
Answer:
Step-by-step explanation:
25%
80%
60%
100%
25%
jason drove for three hours at an average speed of 55 miles per hour how far did he go?
Answer: 165 miles
Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.
Answer:
The answer is 165miles
Step-by-step explanation:
\(distance = speed \times time\)
d=55×3
d=165 miles
The formula for the temperature in degree Celsius is C=5/9(F-32) Solve the equation for F.
ANSWER
\(F\text{ = }\frac{5}{9C}\text{ + 32}\)EXPLANATION
We have that the formula for temperature in degree Celsius is:
\(C\text{ = }\frac{5}{9(F\text{ - 32)}}\)To solve for F, we have to make F subject of formula:
\(\begin{gathered} Cross\text{ multiply:} \\ C\cdot\text{ 9(F - 32) = 5} \\ \text{Divide through by 9C:} \\ F\text{ - 32 = }\frac{5}{9C} \\ \text{Add 32 to both sides:} \\ F\text{ = }\frac{5}{9C}\text{ + 32} \end{gathered}\)That is the answer.
URGENT! Can someone please help?
a. The missing values of the logarithm expression is log₃(40).
b. The missing values of the logarithm expression is log₅(8).
c. The missing values of the logarithm expression is log₂(1/25).
What is the missing of the logarithm expression?The missing values of the logarithm expression is calculated as follows;
(a). log₃5 + log₃8, the expression is simplified as follows;
log₃5 + log₃8 = log₃(5 x 8) = log₃(40)
(b). The log expression is simplified as;
log₅3 - log₅X = log₅3/8
log₅X = log₅8
X = 8
(c). The log expression is simplified as;
-2log₂5 = log₂Y
log₂5⁻² = log₂Y
5⁻² = Y
1/25 = Y
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Can anyone help me???
Answer:
x=14√3
y= 28
Step-by-step explanation:
Below i've attached a 30-60-90 triangle
we can see from the picture that the side length opposite from 30 is just a
which means at a=14
The hyp is equal to 2a= 28
and x is equal to 14√3
9. A dust mite is about 250 microns long. One micron equals 0.001 millimeter. How long is a
dust mite in millimeters?
Answer:
0.250
Step-by-step explanation:
0.001x250=0.250
Length of dust mite in millimeters is 0.250
What is measurement?
Measurement is the act of determining size, or quantity.
Given, A dust mite is about 250 microns long
Since one micron equals 0.001 millimeter
So 0.001x250=0.250
Hence length of dust mite in millimeters is 0.250
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What is 49.4x20.62 rounded to the hundredths
Answer:
1018.600 I think SORRY IF I'M WRONG!!!
Step-by-step explanation:
Answer:
1018.620 and u r correct my guy
Find the unknown side length, x. Write your answer in simplest radical form.
Answer:
Correct option: D
Step-by-step explanation:
In the figure we have a right triangle, that is, one of the angles is a 90° angle. Therefore, we can use the Pythagoras' theorem to find the relation between the sides of the triangle:
\(a^2 = b^2 + c^2\)
Where b and c are cathetus of the triangle (sides adjacent to the 90° angle) and a is the hypotenuse (opposite side to the 90° angle).
So in our case, we have that x is the hypotenuse, and 40 and 42 are cathetus, so we have:
\(x^2 = 40^2 + 42^2\)
\(x^2 = 1600 + 1764\)
\(x^2 = 3364\)
\(x = 58\)
So the correct option is D.
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
\(600, 900, 1350\)
Step-by-step explanation:
Given
\(a = 400\) -- initial subscribers
\(b = 1.5\) -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
\(y = ab^x\)
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
\(y = ab^x\)
\(y = 400 * 1.5^1\)
\(y = 400 * 1.5\)
\(y = 600\)
when x = 2
\(y = 400 * 1.5^2\)
\(y = 400 * 2.25\)
\(y = 900\)
when x= 3
\(y = 400 * 1.5^3\)
\(y = 400 * 3.375\)
\(y = 1350\)
So, the next three number of subscribers is:
\(600, 900, 1350\)
I need help with the 2 questions. What is the mean age of the employees to the nearest year?
What is the median age of the employees?
completing the square.
Which of the following is equivalent to 0 equals 2 x squared plus 8 x minus 24 when completing the square?
The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6
How to solve using completing the square method?0 = 2x² + 8x - 24
divide through by 2
x² + 4x - 12
x² + 4x = 12
x² + 4x + (4/2)² = 12 + (4/2)²
x² + 4x + 16/4 = 12 + 16/4
x² + 4x + 4 = 12 + 4
x² + 4x + 4 = 16
(x + 2)² = 16
Find the square root of both sides
(x + 2) = ±√16
x + 2 = ± 4
x + 2 = + 4 or x + 2 = -4
x = 4 - 2 or x = -4 - 2
x = 2 or x = -6
Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.
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You are given the equation 12 = 3x + 4 with no solution set. Part A: Determine two values that make the equation false. Part B: Explain why your integer solutions are false. Show all work.
\(12=3x+4 \\ \\ 8=3x \\ \\ x=8/3\)
So, two integer values are 1 and 2 since they are not the solution to the equation.
IS 3.5 Cups more or less than a liter
Answer:
3.5 cups are less than a liter
Step-by-step explanation:
1 litrer is approximately 4 cups
If 30% of (B-A)= 18% of (A+B), then the ratio A:B will be
Answer:
1:4
Step-by-step explanation:
30% of (B - A) = 18% of (A + B)
0.3(B - A) = 0.18(A + B) (converting percentages to decimals)
0.3B - 0.3A = 0.18A + 0.18B (distributing on both sides)
0.3B - 0.18B = 0.18A + 0.3A (grouping like terms)
0.12B = 0.48A
Simplifying further gives:
B/A = 0.48/0.12 = 4/1
Therefore, the ratio of A:B is 1:4.
Let's start by simplifying the given equation:
30% of (B-A) = 18% of (A+B)
0.3(B-A) = 0.18(A+B)
0.3B - 0.3A = 0.18A + 0.18B
0.12B = 0.48A
B = 4A
Now we know that B is 4 times A.
To find the ratio A:B, we can express B in terms of A:
B = 4A
A:B = A/4A = 1/4
Therefore, the ratio A:B is 1:4.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The value of the sine of the angle is 9/13 in the supplied value. Choice A
The connection between sin and cosecThis relationship is based on the reciprocal interaction between the sine (sin) and cosecant (cosec) functions. The cosecant of an angle is the reciprocal of the sine of that angle.
The cosecant of an angle is its reciprocal, which is the sine of that angle. Because of this, if the sine of an angle is zero, its cosecant cannot be divided by zero and is hence undefinable.
We know that;
cosec(θ) = 1/sin(θ)
Then
sin(θ) = 1/(13/9)
= 9/13
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what is 12+6x>99 help plz asaaap
Answer:
\( \frac{29}{2} \)
18) ¿Cuál de los siguientes números es divisible por 6?
a) 11,981
b) 18,342
c) O 22,780
d) O 31,239
e) Ninguno de los anteriores
Answer:
b) 18,342
Step-by-step explanation:
18,342 es divisible por 6 porque es divisible por 3 y es divisible por 2
work out the area of the shaded shape 5m 13m 9m 11m area
Answer:
To calculate the area of the shaded shape, we need to first find the area of the two rectangles and then subtract the overlap.
The area of the rectangle with dimensions 5m and 13m is:
Area = 5m x 13m = 65 square meters
The area of the rectangle with dimensions 9m and 11m is:
Area = 9m x 11m = 99 square meters
To find the overlap, we need to calculate the width of the shaded region. We can do this by subtracting the length of one rectangle from the other:
13m - 9m = 4m
So the width of the shaded region is 4m.
Now we can find the area of the shaded region by multiplying the width by the length:
Area = 4m x 5m = 20 square meters
Finally, we can find the total area by subtracting the overlap from the sum of the two rectangle areas:
Total Area = (65 + 99) - 20 = 144 square meters
Therefore, the area of the shaded shape is 144 square meters.
Answer: 61m^2 would be the answer
number 27 please.. i can not figure it out.
Answer: x=-12
Step-by-step explanation:
To solve for x, you want to use algebraic properties to isolate x.
\(\frac{x}{4}=2+\frac{x-3}{3}\) [subtract both sides by \(\frac{x-3}{3}\)]
\(\frac{x}{4}-\frac{x-3}{3}=2\) [get common denominator]
\(\frac{3x}{12} -\frac{4x-12}{12} =2\) [subtract]
\(\frac{-x+12}{12} =2\) [multiply both sides by 12]
\(-x+12=24\) [subtract both sides by 12]
\(-x=12\) [divide both sides by -1]
\(x=-12\)
Now, we know that x=-12.
Calculate the area of a circle with a radius of 5 meters
for each time below, rename one hour to 60 minutes. Add those 60 minutes to the existing minutes?
2) 11:30
3) 2:45
4) 6:40
5) 2:05
6) 7:25
7) 10:20
8) 1:30
9) 12:15
10) 5:50
11) 3:35
12) 9:55
HELP!!! I am having trouble understanding how to do these problems. Can someone please help explain how to complete these problems. Thank you so much!
1. Find the measure of <6.
2. Find the measure of <4.
Answer:
1=180 2=90
Step-by-step explanation:
1=∠1 and ∠2 are supplementary, so m∠2 = 180° - x°. ∠2 and ∠6 are corresponding angles. So, m∠6 = 180° - x°.
2=Their measures are equal, so m∠4 = 90 . When two lines intersect to form one right angle, they form four right angles.
Answer:
∠4 = 55°
∠6 = 35°
Step-by-step explanation:
Finding the unknown angles:In ΔABC,
35 + 90 + ∠4 = 180° {Sum of all angles of triangle}
125 +∠4 = 180
∠4 = 180 - 125
∠4 = 55°
Linear pair: If in two adjacent angles, the non-common arms form a straight line, then the two angles are called linear pair and they add up to 180.
∠7 + ∠8 = 180° {linear pair}
90 + ∠7 = 180°
∠7 = 180 - 90
∠7 = 90°
In ΔACD,
∠6 + ∠4+ ∠7 = 180 {Sum of all angles of triangle}
∠6 + 55 + 90 = 180
∠6 + 145 = 180
∠6 = 180 - 145
∠6 = 35°
30 POINTS WILL GIVE BRAINLYEST 2 Questions
The correct options regarding the statistical measures in this problem are given as follows:
3. The IQR remains a 2.
7. Mean 84º.
What are the quartiles and the IQR of a data-set?To find the quartiles, we need to consider the median, which is the middle value of a data-set, hence:
The first quartile is the median of the first half of the data-set.The third quartile is the median of the first half of the data-set.The interquartile range(IQR) is given by the difference of the two quartiles explained above.For question 3, adding the shoe size of 8, the ordered data-set is given by:
5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8, 8.5.
Hence:
The first half is 5, 5.5, 6, 6.5, 6.5, meaning that Q1 = 6.The second half is 7.5, 8, 8, 8, 8.5, meaning that Q3 = 8.Hence the IQR is given by:
IQR = 8 - 6 = 2.
Thus the correct option is:
The IQR remains a 2.
For question 7, the second lowest value would remain the second highest value. The only measure that considers all the values to be calculated is the mean, hence the correct option is:
Mean 84º.
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please help asap !!!!
Answer:
25
Step-by-step explanation:
I believe that the mid-segment is the length of half the base.
Pls help due in 10 minutes
Answer:
Boy I'm really boutta get to yo pickle chin ahh boy, egg head like collard greens head a//ss boy, oh hell nah boy yo dirt ahh boy stank ahh boy afro head ahh, lip gloss chin ahh boy ugly ahh boi
Step-by-step explanation:
Aawdadakdaw da awdwa dadeefdcdcs
Suppose an experiment was done to gather data on the number of unpopped kernels of microwave popcorn. Half of the students in your class took home a bag, put it in the freezer overnight, and popped it the next day. The other half took the bag, left it on their kitchen counter overnight, and popped it the next day. Each group counted the number of unpopped kernels. Which of the following is an appropriate alternative hypothesis to test whether the freezer method left fewer unpopped kernels?
a. x(freezer)
b. μ(freezer) > μ(counter)
c. μ(freezer) 1(counter)
d. μ(freezer)
Answer:
Step-by-step explanation:
The alternative hypothesis is the opposite of the null hypothesis
The hypothesis to be tested would be that "there is no difference between the mean number of unpopped kernels from the freezer method and the counter method.
For the null hypothesis,
H0 : μf ≤ μc H0 : μf - μc ≤ 0
The alternative hypothesis is
H1 : μf > μc H1 : μf - μc > 0
Where
f represents the freezer method
c represents the counter method
From the alternative hypothesis, adding μc to both sides of the inequality, it becomes
μf > μc
Therefore, the correct option is
b. μ(freezer) > μ(counter)