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MatroZZZ [7]
3 years ago
7

Which expression is equivalent to

Mathematics
2 answers:
Svetllana [295]3 years ago
6 0

Answer:

Choice B is correct. (1/16)⁻⁴ = (16)⁴

Step-by-step explanation:

We have given the expression:

(1/16)⁻⁴

We have to find the equivalent expression from the following expressions.

We use the formula (b)⁻¹ = 1/b

(1/16)⁻⁴ = (16 / 1)⁴

(1/16)⁻⁴ = (16)⁴/(1)⁴

(1/16)⁻⁴ = (16)⁴

So, the choice B is correct.

postnew [5]3 years ago
3 0

Answer:

B) 16^4

Step-by-step explanation:

Given: (\frac{1}{16}) ^{-4}

Here we have to use the property a^-1 = 1 / a

Applying the property, we get

= (\frac{16}{1}) ^{4}

Now we can bring in the power of 4.

= 16^4 / 1^4

= 16^4 / 1

= 16^4

The answer is b) 16^4

Thank you.

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Find the mean median mode and range for the following data 77 60 59 70 89 95
Advocard [28]

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

  • 77,60,59,70,89,95

Sort:

  • 59,60,70,77,89,95

To find:

  • Mean
  • Median
  • Mode
  • Range

Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

Thus:

\displaystyle \large{95-59 = 36}

Therefore, range = 36

7 0
2 years ago
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
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It would be 13... if I did my math right.
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What is 3 = q/11 ????????
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 3 = q/11....multiply both sides by 11, this cancels out the 11's on the right
11 * 3 = q
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Help plz<br><br> What different and similar between Rectangle and square
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The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.
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