1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anton [14]
3 years ago
9

What is the value of the expression shown below?

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0
The general and correct rule in order of operations is PEMDAS which is parentheses, exponents, multiplication, division, addition then subtraction.

Given the expression <span>2 + (3 + 5)2 ÷ 4 ⋅(1/2)^4
P : </span><span>2 + (8)2 ÷ 4 ⋅(1/2)^4
E : </span><span>2 + (8)2 ÷ 4 ⋅ 0.0625
M: </span><span>2 + 16 ÷ 0.25
D: 2 + 64
A: 66
S: - 

The final answer is then 66.</span>
You might be interested in
find the spectral radius of A. Is this a convergent matrix? Justify your answer. Find the limit x=lim x^(k) of vector iteration
Natasha_Volkova [10]

Answer:

The solution to this question can be defined as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

A = \left[\begin{array}{ccc} \frac{3}{4}& \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2}& 0\\ -\frac{1}{4}& -\frac{1}{4} & 0\end{array}\right]

now for given values:

\left[\begin{array}{ccc} \frac{3}{4} - \lambda & \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2} - \lambda & 0\\ -\frac{1}{4}& -\frac{1}{4} & 0 -\lambda \end{array}\right]=0 \\\\

\to  (\frac{3}{4} - \lambda ) [-\lambda (\frac{1}{2} - \lambda ) -0] - 0 - \frac{1}{4}[0- \frac{1}{2} (\frac{1}{2} - \lambda )] =0 \\\\\to  (\frac{3}{4} - \lambda ) [(\frac{\lambda}{2} + \lambda^2 )] - \frac{1}{4}[\frac{\lambda}{2} -  \frac{1}{4}] =0 \\\\\to  (\frac{3}{8}\lambda + \frac{3}{4} \lambda^2 - \frac{\lambda^2}{2} - \lambda^3 - \frac{\lambda}{8} + \frac{1}{16}=0 \\\\\to (\lambda - \frac{1}{2}) (\lambda -\frac{1}{4}) (\lambda - \frac{1}{2}) =0\\\\

\to \lambda_1=\lambda_2 =\frac{1}{2}\\\\\to \lambda_3 = \frac{1}{4} \\\\\to A = max {|\lambda_1| , |\lambda_2|, |\lambda_3|}\\\\

       = max{\frac{1}{2}, \frac{1}{2}, \frac{1}{4}}\\\\= \frac{1}{2}\\\\(A) =\frac{1}{2}

In point b:

Its  

spectral radius is less than 1 hence matrix is convergent.

In point c:

\to c^{(k+1)} = A x^{k}+C \\\\\to x(0) =   \left(\begin{array}{c}3&1&2\end{array}\right)  , c = \left(\begin{array}{c}2&2&4\end{array}\right)\\\\  \to x^{(k+1)} =  \left[\begin{array}{ccc} \frac{3}{4}& \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2}& 0\\ -\frac{1}{4}& -\frac{1}{4} & 0\end{array}\right] x^k + \left[\begin{array}{c}2&2&4\end{array}\right]  \\\\

after solving the value the answer is

:

\lim_{k \to \infty} x^k=o  = \left[\begin{array}{c}0&0&0\end{array}\right]

4 0
3 years ago
Solve the system of equations algebraically by using substitution method:
vredina [299]

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

3 0
3 years ago
Lane went to the bookstore he spent 1/3 of his money on a pen and 4/6 of it on books what fraction of his money did he have left
Mumz [18]

Answer: I believe that it might be $1.00


Step-by-step explanation: Well the problem doesn’t tell you how much money he HAD, so if you do 1/3+4/6 you should get 6/6 or 1 as the amount that Lane had.


3 0
3 years ago
Read 2 more answers
Here's a graph of a linear function. Write the
Anastaziya [24]

Answer:

y=2x-4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?
Simora [160]

Answer:

( 3x − 1) ( 5x^2 + 2 )

Step-by-step explanation:

15x^3 − 5x^2 + 6x − 2

= ( 3x − 1) ( 5x^2 + 2 )

8 0
3 years ago
Other questions:
  • Joe manages a local drug store. His base salary is $300 per week plus 1.8% of the weekly sales at the store. What must the weekl
    8·1 answer
  • Help on #1,2,3 please don't understand help me. Thanks Happy New Year!
    6·1 answer
  • A collection of nickels, dimes, and quarters consist of 18 18 coins with a total of $ 2.05 $2.05. if the number of dimes is equa
    10·1 answer
  • Two students factored 2x^2 + 6x - 20. Leuko said that the factorization was (2x - 4)(x + 5). Ray gave the factorization as (x -
    15·2 answers
  • Find the solution set for the open sentence with the given replacement set? w2+9=6w,{0,3,6,9}
    7·1 answer
  • What is the degree of 7 x6 - 6x5 + 2x3 + x-8?<br> O A. 6<br> O B. 7<br> O c. 5<br> O D. 8
    5·1 answer
  • Write an equation in point slope form of the line passes through the point (9,0) and has a slope of m=-3
    6·1 answer
  • Look at the figure. Classify the pair of angles: &lt;1 and &lt;5
    10·2 answers
  • Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of ga
    6·1 answer
  • Taylor loves to read<br>novels. She can read 18<br>pages every 36 minutes<br>What is the unit rate?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!