Answer:
804.2 meters³
Step-by-step explanation:
To find the volume of a cylinder, you multiply the height by the area of the base (which is πr²), so the equation is <em>V = hπr²</em>.
We can plug in out givens: <em>V = 16*π*4²</em>. Simplifying this gives us <em>V = 256 π meters³</em> which is approximately 804.2 meters³.
Answer:
9
Step-by-step explanation:
a number by itself is a constant.
The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
<h3>What is the matrix about?</h3>
Looking at the product of matrix, note that to multiply the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.
And in this case (propensity), it is not satisfied by the first option because:
C = 3 x 1 and
O= 2 x 1 matrix
In this case CD is therefore undefined.
So we can say that The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
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Answer:
-4u -5v
Step-by-step explanation:
Let the sum be ...
<3, -27> = a<3, 3> +b<-3, 3>
This resolves to two equations
3 = 3a -3b
-27 = 3a +3b
Adding these together, we get
-24 = 6a
a = -4
Substituting into the second equation gives ...
-27 = 3(-4) +3b
-15 = 3b
-5 = b
The desired linear combination is ...
<3, -27> = -4<3, 3> -5<-3, 3> = -4u -5v
Answer:
11^3/5
Step-by-step explanation:
The exponent of 3 becomes the numerator while the 5 in the root becomes the denominator which creates the fraction 3/5. So the final answer is 11^3/5