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Rainbow [258]
3 years ago
12

All log graphs contain the points (1,0), (a,1), and (1/a,-1). True . False.

Mathematics
1 answer:
Bumek [7]3 years ago
7 0
The correct answer is: True

Explanation:
1. log_a1 = 0 (Straightforward)
2. log_aa = 1
 (log to base of itself is always 1)
3. log_a \frac{1}{a} = log_aa^{-1} = -1(1) = -1 (Using log power property)

Hence the correct option is True.
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The school band has 115 members. They are raising money for band camp. If each member raises $75, what is the total amount of mo
Kaylis [27]

Answer:

a. $8625

Step-by-step explanation:

So there are 115 members and they each raise $75.

That means one member would raise $75, the second member would raise another $75, the third would raise another $75 etc....

So you just have to multiply 115 and 75 together and that gives you $8625

6 0
3 years ago
Find the area of the triangle
kupik [55]
Area = 1/2 * base * height 
 = 1/2 * 20 * 6
 = 1/2 * 120
 = 60 ft^2
6 0
3 years ago
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle i
NikAS [45]

Answer:

Hi

Step-by-step explanation:

Is there like a multiple choice so I could answer it:)

5 0
3 years ago
Another sigma notation question. Please check. Hopefully I did this one correctly!
Neko [114]

Answer:

Your answer is correct.  The series is a geometric series with common ratio -1/4 and first term 40.  So each term is:

an = 40 (-1/4)^(n−1)

So the sum of the first 10 terms is:

∑(n=1 to 10) [ 40 (-1/4)^(n−1) ]

8 0
3 years ago
Show all work to write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the
natima [27]
4x - 3y - 7 = 0
-3y = -4x + 7
y = 4/3x - 7/3....slope here is 4/3

A. a parallel line will have the same slope

y = mx + b
slope(m) = 4/3
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = 4/3(-2) + b
1 = -8/3 + b
1 + 8/3 = b
3/3 + 8/3 = b
11/3 = b

so ur parallel line is : y = 4/3x + 11/3

B. A perpendicular line will have a negative reciprocal slope. To get the negative reciprocal of a number, u flip the number and change the sign. So our perpendicular line will need a slope of -3/4

y = mx + b
slope(m) = -3/4
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = -3/4(-2) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b

so ur perpendicular equation is : y = -3/4x - 1/2
8 0
3 years ago
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