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bulgar [2K]
2 years ago
13

Simplify the expression. 16(1/2x)^4 The simplified expression is

Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

Answer:

1/x^4

Steps:

(1/2x)^4 =  <em>1/2^4x^4</em>

= 16 *  1/2^4x^4

Multiply fractions: <em>a * b/c = a * b/c</em>

= 1 * 16/2^4x^4

Multiply the numbers:<em> 1 * 16 = 16</em>

16/2^4x^4

Factor 16: <em>2^4</em>

= 2^4/2^4x^4

Cancel the common factor: <em>2^4</em>

= 1/x^4

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Refer to the number line. Find the coordinate of point D that is 7/16 M to J. of the distance from M to J.​
Usimov [2.4K]

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:

If point D(x, y) is 7/16 M to J, then:

x = (7/16)(4 - 20) + 20 = 13

y = (7/16)(17 - 1) + 1 = 8

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

Find out more on equation at: brainly.com/question/2972832

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4 0
1 year ago
Suppose j varies jointly with g and v, j=1 when g=6 and v=3. Find j when g=8 and v=11
Lady bird [3.3K]

j=4.88 when g=8 and v=11

Further explanation:

When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.

Variation is always accompanied by a variation constant.

<u>Given</u>

g and v vary directly with j

IT can be written as:

j∝gv

Putting the variation constant k

j = kgv

Putting g = 6 and v=3

j = kgv\\1 = k * 6 * 3\\1 = 18k\\k = \frac{1}{18}

So the value of k is 1/18 which makes the equation

j = \frac{1}{18}gv\\ Putting\ g=8\ and\ v=11\\j = \frac{1}{18} * 8 * 11\\j = \frac{88}{18}\\ j =4.88

So, j=4.88 when g=8 and v=11

Keywords: Variation, Direct Variation

Learn more about variation at:

  • brainly.com/question/11258952
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8 0
3 years ago
What is the name of an interior angle of a triangle that is not adjacent to a given exterior of the triangle
d1i1m1o1n [39]
Definition of an exterior angle

At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle. See picture below.

Calculating the Angles

We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

6 0
3 years ago
How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by
Nata [24]
There are 8 fourths in 2 wholes. 
4 0
3 years ago
Read 2 more answers
What is the additive identity of rational number​
Burka [1]

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say <em>x</em>, adding zero to the number <em>x</em> gives the same number <em>x. </em>i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

<em></em>

3 0
3 years ago
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