Simplify the following expression five to the power of -3

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Answer 1

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Is -2 or 4 a root of the equation x^2-2x=8?

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I hope this helps you

How to see if matrix is one to one calculator

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Answer:

look at the pivots (the leading 1's of the rows)

Step-by-step explanation:

Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.

Final answer:

To check if a matrix is one-to-one using a calculator, you need to enter the matrix values into the calculator, find the reduced row echelon form (RREF) of the matrix, and if the RREF is the identity matrix, the matrix is one-to-one.

Explanation:

In Linear Algebra, a matrix is considered one-to-one if each input vector from a given set of vectors gives a unique output vector. In other words, no two different input vectors can yield the same output vector. To check whether a matrix is one-to-one using a calculator, you’re essentially checking if the transformation represented by the matrix is injective. Here are the steps:

Enter the values of your matrix into the calculator.
Find the reduced row echelon form (RREF) of the matrix. You can do this by row reducing the matrix.
If the RREF of the matrix is the identity matrix, then the matrix is one-to-one. This means that every column of the matrix will have a leading 1, with zeros everywhere else in that column and row.

Note: These steps can often be performed on a calculator that has capabilities for matrix operations, like a TI-83 or TI-84.

Learn more about Matrix here:

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Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.(Type an integer or a simplified fraction.)

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this answer will be 55% ok

Find the volume of the cylinder. Use 3.14 for (π Pi) 34 m on top and 27 m down on the right.

Answers

Answer:

Volume of the cylinder (V) is given by:

$V = \pi r^2h$

where

r is the radius of the cylinder

h is the height of the cylinder.

As per the statement:

34 m on top and 27 m down on the right.

⇒Diameter(d) = 34 m and Height(h) = 27 m

We know:

Diameter = 2(radius)

⇒ $34 = 2r$

Divide both sides by 2 we have;

$r = 17$ m

Substitute these given values in [1] we have;

$V = 3.14 \cdot 17^2 \cdot 27$

⇒ $V = 3.14 \cdot 7803$

Simplify:

V = 24,501.42 cubic m.

Therefore, volume of the cylinder is, 24,501.42 cubic m.

The required volume of the cylinder is 24501.4 cubic meters

Use the concept of the cylinder defined as:

In mathematics, a cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface.

These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases.

Given that,

Height of cylinder 'h' = 27m

Diameter = 34 m

Since radius = diameter/2

Therefore, Radius 'r' = 17 m

We know that,

The volume of a cylinder,

V = πr²h

Put the values in this formula we get,

V = 17²(27)π

V = 24501.42 m³ [since π = 3.14]