Write a description of how a diagram can help you solve 2 x 40

Answers

Answer 1

Answer:

2 × 40

To solve it with the help of Diagram,

Draw a Rectangle having 8 rows and 5 columns. Draw a copy of this rectangle .You can draw rectangles of other dimension like (10 × 4 or 4×10, 5×8).

So, there will be total of 2 identical rectangles.

Each part of a rectangle = 1 object

So, there are 80 parts in all.

So , 2 × 40 = 80

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How does the number of solutions of a system depend on ranks of the coefficient matrix and the augmented matrix?

Answers

Answer:

The number of solutions of a system is given by the number of different variables in the system, this number has to be the same as the number of independent equations. The coefficients and the augmented matrix of the system show these values in a matrix form. A system has a unique solution when the rank of both matrixes and the number o variables in the system are the same.

Step-by-step explanation:

For example, the following system has 2 different variables, x and y.

$x+y=1\nx+2y=5$

In order to find a unique solution to the system, the number of independent equations and variables in the system must be the same In the previous example, you have 2 independent equations and 2 variables, then the solution of the system is unique.

The rank of a matrix is the dimension of the vector generated by the columns, in other words, the rank is the number of independent columns of the matrix.

According to Rouché-Capelli Theorem, a system of equations is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix. The inconsistency of the system is because you can't find a combination of the variables that will solve the system.

Let X∼ Exponential (λ )and let t be a constant with 0 0 be any value.

Answers

Answer:

Hello! Hope you are having a good day. Your answer is F. I just did this. Good luck!

Step-by-step explanation:

While shopping, Cori spent three times as much as Ann. If they spent a total of $124, how much did each person spend?

Answers

Ann-x
Cori-3x

3x+x=124

4x=124
divide both sides by 4

x=31 now plug it in and you get

Ann-31
Cori-31×3=93

Ann spent 31$
Cori spent 93$

Use the quadratic formula to solve the equation 2y^ +6y-8=0

Answers

To solve this problem you must apply the proccedure shown below:

1. You have the following quadratic equation, which is given in the problem above:

2y^2+6y-8=0

2. So, to solve it, you can use the quadratic formula, which is:

y=(-b±√(b²-4ac))/2a

a=2
b=6
c=-8

3. When you susbtitute these values into the formula, you obtain:

y1=-4
y2=1

I need help on this please.Ivanna is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 51 feet and its width is 32 feet. Suppose each can of wood stain covers 102 square feet. How many cans will she need to cover the court?