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Sonbull [250]
3 years ago
9

10. Explain why log328 is between 3 and 4.

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

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The functions below describe the temperatures in two cities on the same day. Which city had the greater starting temperature? Wh
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They have the same rate of change.

Step-by-step explanation:

They both increase two degrees every hour.

4 0
3 years ago
Ramu and ravi borrowed rs 8000​
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Answer: Rs. 11,520

Step-by-step explanation:

As the method of compounding is not stated, the default of simple interest will be used.

Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.

Formula is:

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= 8,000 * ( 1 + 8% * 5.5 years)

= 8,000 * 1.44

= rs 11,520

4 0
3 years ago
An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H
9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0
3 years ago
Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3
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Answer:

A.)

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Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)

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3 years ago
In your own words, give two reasons why it is important to wash your hands both before and after completing a lab (will give bra
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Reason number 1 (before) is that you could contaminate your samples if you have foreign material on your hands.
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3 years ago
Read 2 more answers
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