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
uysha [10]
3 years ago
8

Give your answer to four decimal places

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

The characteristic of a logarithm is the number to the left of the decimal.

(The characteristic is like an exponent).

We are working with base 3 logs.  

So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3)  then we increase the characteristic by two.

Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.

1.8928 +2 = 3.8928

Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.

Step-by-step explanation:

You might be interested in
How do you know when a polynomial is factored completely?
34kurt
When you cannot simplify it further. The terms have no common factor besides 1 and A plus C does not have two numbers that multiply to the total and equal C.
6 0
3 years ago
A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]

(5,-5) = (2\cdot k, -2\cdot k)

k = \frac{5}{2}

The dilation on any point of the rectangle is:

P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]

P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

5 0
3 years ago
Write the equation of the line fully simplified slope-intercept form.
inessss [21]
Pick any two points
(0, 3), (-1,9)
Find slope (y2-y1)/(x2-x1)
(9-3)/(-1-0) = 6/-1 = -6
Y = -6x + b
Plug in a point
3 = 0 + b, b= 3
Final equation: y = -6x + 3
5 0
3 years ago
Read 2 more answers
You and a friend are playing a board game your final score x is 12 points less than your friend final score
Tamiku [17]
You can put it into expressions:
Your score would be x
Your friends score would be x +12

Hope This Helps You!
Good Luck Studying :)
6 0
3 years ago
What is the distance between (12, –7) and (–3, –7)?
seropon [69]

15.9687194227 units between the 2 points

6 0
3 years ago
Read 2 more answers
Other questions:
  • Choose all the options that describe the result of the multiplication (select all that apply)
    14·1 answer
  • Analyze the diagram below and answer the question that follows.
    13·1 answer
  • PRE-CALCULUS:<br> Find the range of the function.<br><br> f(x) = (x - 2)2 + 2
    10·1 answer
  • If each unit is equivalent to 1 square inch, how many square inches of matting are used? A. 32 sq. Inches B. 36 square inches C.
    5·1 answer
  • The sides of a rectangle are 3t - 2 and 5t + 7. Write an expression for the perimeter of the rectangle.
    12·1 answer
  • Answer this easy question.
    8·2 answers
  • Zab is x years old now. What is his age 7 years from now ?​
    9·2 answers
  • Each exterior angle of the regular n-gon has a measure of 3 degrees. How many sides does the polygon have?
    12·1 answer
  • Find the total number of diagonals in a regular nonagon.
    11·1 answer
  • 6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!