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ZanzabumX [31]
3 years ago
9

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Right rectangular prism

Solve for volume

V=whl

l Length

2

Width

Height

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The circumference of the earth is about 40050 km. Which of the following is the closest approximation of the diameter? Use 3.14
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D is the answer
40050 divided by 3.14 is 12754.77707
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Subtracting/adding mixed fractions
pishuonlain [190]
A)
= 3 2/4
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b)
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Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y
omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14

This can be represented in matrix form as

AX=B Or

\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]

So solution set

X would be A^{-1} B

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1    0    -1

-2   -1     -3

0     1      2

So inverse of A is

1    2   0

0   1     -1  

1     3      -2

Solution set would be

x=12

y=-3

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3 years ago
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A student concludes that for all values of x,x^2+x+1 produces a prime number. Which value of x serves as counterexample to prove
Dafna11 [192]

Answer:

j

Step-by-step explanation:

Substitute the given values into x² + x + 1 and check if result is prime

x = - 4

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(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime

(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime

4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime

x = 4 serves as a counterexample to disprove this conclusion

5 0
2 years ago
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