Given log 2 = 0.3010, log 3 = 0.4771. Find the value of a) log 12 b) log 5.

Answers

Answer 1

Answer: a) log 12
= log3*4
= log3 + log4
=log3 + log 2^2
=log3 + 2log2
= 0.4771 +2*0.3010
=1.0791

b) log5
= log10/2
= log10 - log2
=1 - 0.3110
= 0.6989

Answer 2

Answer: $a)\ \ \ log12=log(4\cdot3)=log4+log3=log2^2+log3=2log2+log3\approx\n\n\approx2\cdot0.3010+0.4771=0.602+0.4771=1.0791\n\n2)\ \ \ log5=log (10)/(2) =log10-log2\approx1-0.3010=0.699$

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A mathematician is working with a programmer to write a program to solve a problem using high level mathematics. The mathematician asks the programmer to help her determine the efficiency of the algorithm. How can the efficiency be determined?

Answers

Answer:

The efficiency of the algorithm can be determined by a measure of amount of time for an algorithm to execute that is time efficiency. Also by a measure of the amount of memory needed for an algorithm to execute: space efficiency. Asymptotic dominance - comparison of cost functions when n is large. That is, g asymptotically dominates f if g dominates f for all "large" values of n.

Step-by-step explanation:

Efficiency of an algorithm means how fast it can produce the correct result for the given problem. The efficiency of an algorithm depends upon its time complexity and space complexity. The complexity of an algorithm is a function that provides the running time and space for data, depending on the size provided by us.

Usually there are natural units for the domain and range of this function. There are two main complexity measures of the efficiency of an algorithm: Time complexity is a function describing the amount of time an algorithm takes in terms of the amount of input to the algorithm.

Algorithm complexity is a measure which evaluates the order of the count of operations, performed by a given or algorithm as a function of the size of the input data. To put this simpler, complexity is a rough approximation of the number of steps necessary to execute an algorithm.

Steps to analyze an algorithm:

- Implement the algorithm completely.

- Determine the time required for each basic operation.

- Identify unknown quantities that can be used to describe the frequency of execution of the basic operations.

- Develop a realistic model for the input to the program.

Given the function f(x)=0.5|x-4|-3, for what values of x is f(x)=7?

A. x=-24, x=16
B. x=-16, x=24
C. x=-1, x=9
D. x=1, x=-9

Answers

we have

$f(x)=0.5\left|x-4\right|-3$ -----> equation A

$f(x)=7$ -----> equation B

equate equation A and equation B

$0.5\left|x-4\right|-3=7$

Adds $3$ boths sides

$0.5\left|x-4\right|-3+3=7+3$

$0.5\left|x-4\right|=10$

Multiply by $2$ boths sides

$\left|x-4\right|=20$

we know that

The function absolute value has two solutions

Step 1

Find the first solution (positive case)

$+(x-4)=20$

Adds $4$ boths sides

$x-4+4=20+4$

$x=24$

Step 2

Find the second solution (negative case)

$-(x-4)=20$

Multiply by $-1$ boths sides

$(x-4)=-20$

Adds $4$ boths sides

$x-4+4=-20+4$

$x=-16$

therefore

the answer is the option B

$x=-16, x=24$

7 = 0.5|x-4|- 3 add 3 to both sides: -
0.5|x-4| = 10 divide bs by 0,5:-
|x-4| = 20

either x - 4 = 20 or x - 4 = -20

this gives x = 24, x = -16

Which are vertical angels?

Answers

Answer:

Those angles are in opposite either in vertical or horizontal. They are opposite angles

How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.Please help me out

Answers

Answer: In order to begin figuring that out, we need to know how both of their plans work.

What is the slope of a line that is perpendicular to the line y = -x + 4?The slope of the line is
y=5-6x

Answers

Answer:

1 is the slope

Step-by-step explanation:

For perpendicular lines, you need to find the negative recipricol which would be 1 for -1

Answer:

y=x+4

Step-by-step explanation:

just flipped the sign of the slope and the line will go the other way

this question is worded a little weird because the y is not what represents slope in the formula so. Assuming that, the answer to the first part should be correct

What is the answer to 16 x 2

Answers

Answer:

Step-by-step explanation:

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