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labwork [276]
3 years ago
10

Write the equation in exponential form log4 1/6=-2

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
<span><span>Remember: loga</span>x</span>=b⇒<span>ab</span>=<span>x

in which "a" is the base of the log. 

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D


</span>
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What is the average rate of change of the function f(x) = 5x ^ 2 + 20x between x = 0 and x = 0.5
Vitek1552 [10]

9514 1404 393

Answer:

  22.5

Step-by-step explanation:

The average rate of change on the interval [a, b] is the ratio ...

  (f(b) -f(x))/(b -a)

For your function and interval, it is ...

  (f(0.5) -f(0))/(0.5 -0)

Since f(0) = 0, this reduces to ...

  average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)

  average rate of change = 22.5

8 0
3 years ago
A shirt originally cost $39.59, but it is on sale for $27.71. What is the percentage decrease of the price of the shirt? If nece
Leokris [45]

Answer:

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3 0
3 years ago
What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3
il63 [147K]

Answer:

y + 7 = - \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - \frac{2}{3} and (a, b) = (1, - 7), thus

y - (- 7) = - \frac{2}{3}(x - 1), that is

y + 7 = - \frac{2}{3}(x - 1) ← in point- slope form

3 0
3 years ago
parker correctly answered 70% of the questions on his math test. If he answered 35 questions correctly, how many questions were
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Let the total number of questions in the math test be defined by the variable x.

Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.

The information we have above can be expressed as an equation given below:

70% of x=35

This can be rewritten as:

\frac{70}{100}x=35

Thus, to find the total number of questions we will have to isolate x.

\therefore x=\frac{35\times 100}{70}=50

Therefore, there were a total of 50 questions in the math test.

4 0
3 years ago
Read 2 more answers
6. Which formula is 8 less than twice a number? q=2w-8​
hammer [34]

Answer:

Yes that is correct

7 0
3 years ago
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