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Alla [95]
3 years ago
10

Write the equation of the line in the slope-intercept form. M=4/5, y-intercept (0,1)

Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

y=4/5x+1

Step-by-step explanation:

y=mx+b

  • m is the slope
  • b is the y-intercept

m= 4/5

b=   1   (0,1) y-value

Equation:

           y=4/5x+1

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Use the properties of logarithms to prove log, 1000 = log2 10.
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Given:

Consider the equation is:

\log_81000=\log_210

To prove:

\log_81000=\log_210 by using the properties of logarithms.

Solution:

We have,

\log_81000=\log_210

Taking left hand side (LHS), we get

LHS=\log_81000

LHS=\dfrac{\log 1000}{\log 8}                  \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=\dfrac{\log (10)^3}{\log 2^3}

LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

LHS=\dfrac{\log 10}{\log 2}

LHS=\log_210                    \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=RHS

Hence proved.

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3 years ago
Find the value of x in the following figure ( Please hurry)
kolbaska11 [484]

Answer:

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Step-by-step explanation:

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3 years ago
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What is the height of a rectangle with an area of 105 and a base of 15
BaLLatris [955]

Answer:

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Step-by-step explanation:

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PIT_PIT [208]

Answer:

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3 0
3 years ago
The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m
balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

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