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Jlenok [28]
3 years ago
10

Rewrite log₅(x+3) into an equivalent expression using only natural logs

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

Step-by-step explanation:

log₅(x+3) = Log(x+3)/ Log5.......natural log is :  Log or loge

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Use the change of base formula to evaluate the logarithms to the nearest thousandth.
Blizzard [7]

Answer:

1.861

Step-by-step explanation:

I just know

6 0
3 years ago
What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.
Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}

6 0
3 years ago
Read 2 more answers
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the given points. (0,4) (-2,-5)
valentina_108 [34]

Answer:

y=-9/2x plus 4

Step-by-step explanation:

y=ax plus b

Use points from the task.

4=0x plus b

so b=4

-5=-2a plus 4

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a = -9/2

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8 0
3 years ago
Use the distributive property to find a equivalent expression for 6(x+4)
MArishka [77]

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

5 0
3 years ago
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