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Oliga [24]
3 years ago
9

Ok so I need to evaluate three questions without a calculator

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Step-by-step explanation:

log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)

log7 1= log1/log7= 0 (log1=0)

log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)

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Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)
Arte-miy333 [17]

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
If it is about 41 miles around how many square miles does it cover
vodka [1.7K]

Answer:

133,7697

Step-by-step explanation:

C=2*r*\pi  41 = 2*r*\pi  r= 6,5253\\S=r^2*\pi = 133,7697

8 0
2 years ago
Could you please answer this precisely. Thank you!
OleMash [197]

The mathematical functions (equations) are matched to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

#SPJ1

3 0
2 years ago
how many unique triangles can be made where one angle measures 98 degrees and another angle is an obtuse angle
aliya0001 [1]
None because it is impossible for any triangle to have more than one obtuse angle.
7 0
3 years ago
Read 2 more answers
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
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