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Sergio039 [100]
2 years ago
10

PLEASE HELP MEEEEEE I REALLY NEED HELP WITH THISSSSSSSSS QUESTION PLEASE I NEEEEDDD HELPPPP IM BEGGGING YOUUUU

Mathematics
1 answer:
KatRina [158]2 years ago
6 0

Answer:

volume of figure = 74 cm³

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Question 1 (5 points): Consider the system of linear equations x1 − 4x2 − x4 = −7 x2 − 2x4 = 3 x4 + 2x5 = 3 (a) Write down the c
Alika [10]

Answer:

Step-by-step explanation:

Given is a system of equations as

x1-4x2 - x4 = -7\\ \\x2 - 2x4 = 3 \\\\x4 + 2x5 = 3

We have 5 variables and 3 equations

a) coefficient matrix of this system is

1   -4   0   -1   0\\

0    1   0   -2   0\\

0    0   0    1    2\\

We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as

1   -4     -1   0\\

0    1     -2   0\\

0    0     1    2\\

b) Augmented matrix is

1   -4     -1   0\\  7

0    1     -2   0\\ 3

0    0     1    2\\3

c) For row operations to ehelon form

we can do R1+4R2 = R1

We get

1   0   -9  0 \\  19

0   1  -2   0 \\   3

0   0   1   2  \\   3

Now let us do R1 = R1+9R3 and R2 = R2+2R3

1  0   0   0  \\ 46

0  1   0   0   \\  9

0   0  1   2   \\  3

d) We find that there are infinite solutions to  the system in parametric form, since x4 and x5 are linked with only one equation

e) x1 = 46, x2 = 9, x4+2x5 =3

Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution

 

8 0
3 years ago
3) 25 students were surveyed at Salisbury Middle School about what activities they
Katarina [22]

Answer:

500

Step-by-step explanation:

6 0
3 years ago
Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance. There are 220
Kaylis [27]

Answer: 33

Step-by-step explanation:

4 0
3 years ago
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the
Alexeev081 [22]

Answer:

Answer choice A) About 38.47 square units

Step-by-step explanation:

Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:

\dfrac{22}{2\pi}\approx 3.503

Since the area of a circle is \pi r^2, the area of this circle is:

\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47

Hope this helps!

4 0
3 years ago
(05.02 LC)
Arte-miy333 [17]

<em>Your Answer: </em>A.) (2 , 5) <u>I also provided the steps.</u>

Hope this helps y'all :)


7 0
3 years ago
Read 2 more answers
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