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3 years ago

Pls answer this with an explanation if you can

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

4 0

Answer:

4.25

Step-by-step explanation:

76.5/18=4.25

Therefore, it would take him an 4.25 hours to cover 76.5 miles.

jok3333 [9.3K]3 years ago

3 0

Answer:

The answer is 4.25 hr

Step-by-step explanation:

Average Speed = Distance/Time Taken

18 = 76.5/ t

Therefore, t = 76.5/18

= 4.25 hr

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Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup

vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

$\dfrac{1}{(r)^{42}}$

The option B is the correct option.

Given information-

The given expression in the problem is,

$[(r)^{-7}]^5$

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

$(x^a)^b=x^{ab}$

Using the power rule of the exponents given expression can be written as,

$[(r)^{-7}]^6=(r)^{-7\times 6} 
$

$[(r)^{-7}]^6=(r)^{-42}$

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

$[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}$

Hence the expression which is equal to the given expression is,

$\dfrac{1}{(r)^{42}}$

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

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2 years ago

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If the tip varies directly with the number of guest,which equation represents the relationshipbbetween the tip,t,and the number

sergejj [24]

<span>If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t </span>α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t =<span> kg
</span>
This equation will represent the relation of t to g.

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3 years ago

7-C=4<br><br><br> Hint: equation and rational coefficient

nalin [4]

Answer:

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3 years ago

Interpreting the Multiplicity of a Zero:<br>Determine the multiplicity of the roots of the function

olasank [31]

For this case we have the following expression:

$k (x) = x (x + 2) ^ 3 (x + 4) ^ 2 (x-5) ^ 4\\$

The roots are:

$x = -2\\\\x = -4\\\\x = 5\\\\x = 0\\$

For example: For x = 0 we have

$k (0) = 0 (0 + 2) ^ 3 (0 + 4) ^ 2 (0-5) ^ 4\\\\k (0) = 0 (2) ^ 3 (4) ^ 2 (-5) ^ 4\\\\k (0) = 0 (8) (16) (625)\\\\k (0) = 0\\$

so it is shown that $x = 0$ is a root.

By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.

Thus:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

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Answer:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

8 0

3 years ago