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andre [41]
2 years ago
6

The volume of a cube is found using the formula l3, where l is the side length. What is the volume of a cube, in cubic feet that

is 3/5 of a foot long
Mathematics
1 answer:
Fudgin [204]2 years ago
7 0
<span>The volume of a cube is defined by the formula l^3, as stated in the problem. The length of the cube given to us is 3/5 of a foot, meaning that the value of l is 3/5. So if we plug this into the equation, we get that (3/5)^3 = (3)^3/(5)^3 = 27/125. The units will also match up to be in cubic feet, so the answer is that the volume will be 27/125 cubic feet.</span>
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krek1111 [17]

Answer:

4, 6, 9, 12, 15, 18, 21, <u><em>24.</em></u>

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

3 0
2 years ago
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
polet [3.4K]
Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]   \left[\begin{array}{cc}e&f\\g&h\end{array}\right] =  \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}

The the matrix product becomes:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
8 0
3 years ago
Read 2 more answers
Need help on 5. 6. And 7.<br><br> 7.c is (6+x)-8<br> 7.d is 8-(6+x)
enyata [817]
#7 is A
For # 5 & 6 is there a multiplication sign between the numbers or is supposed to be a power or something else?
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3 years ago
Select the correct answer.
Tanya [424]

Answer:

The function f has an inverse because it is one-to-one.

Step-by-step explanation:

The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.

8 0
1 year ago
Simplify: (d - 3)(d + 9)
podryga [215]
<span>Simplify: (d - 3)(d + 9)


A) d^2 + 6
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8 0
3 years ago
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