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3 years ago

If 16 to the power of x = 1/64. what is the value of x?

Mathematics

2 answers:

Harman [31]3 years ago

8 0

Answer:

-3/2

Step-by-step explanation:

<u>A Negative Exponent means that 1 over that number to whatever exponent represented:</u>

<u />

In your case 16^x = 1/64.

(4^2)^x = 1/64

(4^2)^x = 64^-1

4^2x = (4^3)^-1

2x = -3

x = -3/2

Daniel [21]3 years ago

6 0

Answer:

-3\2

Step-by-step explanation:

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Use the drop-down menus below to state the sequence of transformations that maps Figure W onto Figure X in the animation below.

iragen [17]

Answer:

Dilate, Reflect

Not congruent, dilations are used

Step-by-step explanation:

Dilate the figure by a scale factor of 1/3

Reflecting the resulting shape will map the figure

Step 1: Dilate by 1/3

Step 2: Reflect over the y-axis

Since dilations are used, the figures are not the same, as it changes area and side lengths.

-Chetan K

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1 year ago

12a. Shan has 32 books, including 12 books by his favorite author. Express as a decimal the number of books by his favorite auth

LenaWriter [7]

12a. First expressing as a fraction, Shan has 12/32 books from his favorite author, so:

12/32=3/8=0.375 books from his favorite author

12b. Because the decimal 0.375 isn't a periodical decimal, so it would be a terminating decimal.

5 0

11 months ago

Graph the inequality.<br> -6 ≤y + 2x < 15

omeli [17]

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

-6 ≤y + 2x
y + 2x < 15

Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

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