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Travka [436]
3 years ago
10

How do I simplify this??

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0
Idk i can't see that, sorry
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Can you think of any 2x2 matrices d for which cd = dc for all 2x2 matrices c? give 2 different examples of such matricesd.
Ksju [112]
For any arbitrary 2x2 matrices \mathbf C and \mathbf D, only one choice of \mathbf D exists to satisfy \mathbf{CD}=\mathbf{DC}, which is the identity matrix.

There is no other matrix that would work unless we place some more restrictions on \mathbf C. One such restriction would be to ensure that \mathbf C is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking \mathbf D=\mathbf C^{-1} we'd get equality.
6 0
3 years ago
10. Use the properties of exponents to simplify the expression:
aivan3 [116]
<h3><u>Answer</u> :</h3>

\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}

Let's solve !

:\implies\sf\:25^{\frac{3}{2}}

:\implies\sf\:(\sqrt[2]{25})^3

:\implies\sf\:5^3

:\implies\boxed{\bf{\red{125}}}

<u>Hence, Oprion-D is correct</u> !

7 0
3 years ago
How many solutions exist for the given equation?
sladkih [1.3K]

Answer:

Infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 - 2

12x + 1 = 12x + 1

Both sides are equal for all x, so infinite solutions

8 0
3 years ago
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A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

6 0
3 years ago
Find the volume of the cylinder please all the details are in the picture above !!
Agata [3.3K]

the volume of cylinder is volume of cylinder is for

5 0
3 years ago
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