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Komok [63]
4 years ago
5

(16x)^1/2 x (25^3/2)

Mathematics
1 answer:
zimovet [89]4 years ago
7 0
Solve for x:
31250 x^(3/2) = 0
Divide both sides by 31250:
x^(3/2) = 0
Raise both sides to the power of 2/3:
Answer:  x = 0
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What is the equation of the line through the points (3,2), (8,5), (13,8), and (18,11)
olga_2 [115]
For this question the answer is the second one
4 0
3 years ago
The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of
Amanda [17]

Answer:

\mathbf{g^{-1} (t) = log _2  \ 20 \ t}

Step-by-step explanation:

Here is the full question

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.

Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)

g(n )= (05)2^n

The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).

<u>SOLUTION:</u>

If we represent g(n) with  t;

Then

\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\  \\ \mathbf{20 t = 2^n}

Taking logarithm of both sides; we have :

\mathbf{log (20 t) = n log 2}    \ \ \    \mathbf{(since  \ ,  log  \ a^b = b \ log \ a) }  \\ \\ \mathbf{n =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2  \ 20 \ t}

4 0
4 years ago
What is the number 56, 893, 000 in word form
Finger [1]
Fifty six million eight hundred ninety three thousand
7 0
3 years ago
the triangle below is 45-45-90 determine the value of x and y your awsner must be in simplest radical form you cannot use sine c
Alexeev081 [22]

The diagram can be redrawn as,

The value of x and y can be determined as,

\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}

Thus, option (D) is the correct solution.

4 0
1 year ago
The floor of a rectangular deck has an area of 600 square feet. The floor is 20 feet wide. How long is the floor? A. 30 ft. B. 2
svetoff [14.1K]
<span>A. 30 ft
 The formula for the area of a rectangle is width x length = area. Knowing this formula, we can solve for the length by dividing the area by the width. 600 divided by 20 is 30.</span>
4 0
3 years ago
Read 2 more answers
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