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murzikaleks [220]
4 years ago
15

Find the inverse of the function: y=log₂(-4x)

Mathematics
1 answer:
Vlad1618 [11]4 years ago
5 0

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

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The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

                                                = 2020 π inch for an hour

Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

Tip of minute hand moves= 2929 π  inch

5 0
3 years ago
Round each decimal 32.62 tenths place
Tresset [83]

Answer:

32.6

Step-by-step explanation:

Look at the decimal in the hundredths place in 32.62

If the number is 0-4, round down. If the number is 5-9, round up.

In 32.62, the number in the hundredths place is 2. So, we round down to 32.6

3 0
3 years ago
Identify the figure that illustrates "A reflection in line k."
dlinn [17]

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

8 0
3 years ago
Read 2 more answers
Find the distance from point A to the given line:<br> A(-1, 7), y=3x<br><br> How do I solve this?
kipiarov [429]

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}

<h3>Answer: d = √10</h3>
3 0
3 years ago
Ron started a construction company. The net value of the company (in thousands of dollars) t months after
kumpel [21]

Answer:

1) 2(t+1)(t−7)

2) 7 months

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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