Math question please help urgently

Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

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can someone help me with the circumferences and other stuff on this picture please (zoom out to see the full picture)

Daniel [21]

The corcumference C of a circle is C= 2 x pie x radius
So radius= C/(2pie)

Volume of cylinder= pie x r(squared) x h

8 0

2 years ago

Write the equation that represents the relationship between n the number of triangles and p the perimeter of the figures formed.

Klio2033 [76]

1 triangle: 2*6 + 1*5

2 triangles: 2*6 + 2*5

3 triangles: 2*6 + 3*5

So for n triangles: p = 2*6 + n*5 = 12 + 5n

4 0

3 years ago

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BRAINLIEST ASAP! PLEASE HELP ME :)

Nataly_w [17]

Step-by-step explanation:

$\displaystyle y = Asin(Bx - C) + D$

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

$\displaystyle Phase\:[Horisontal]\:Shift → \frac{\frac{π}{3}}{3} = \frac{π}{9} \\ Period → \frac{2}{3}π$

Therefore we have our answer.

Extended Information on the trigonometric function

$\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|$

NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the <em>midline</em> where the amplitude is.

I am joyous to assist you anytime.

5 0

3 years ago

I. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?

Natasha2012 [34]

Answer:

5 weeks
$100

Step-by-step explanation:

<u>Jennifer's account:</u>

f(x) = 10x + 50

<u>William's account can be expressed as:</u>

g(x) = 14x + 30

Because the rate of change is 14 and y-intercept is 30

<u>They will be same after x years, f(x) = g(x)</u>

10x + 50 = 14x + 30
14x - 10x = 50 - 30
4x = 20
x = 5

The accounts will be same after 5 weeks

<u>The amount in the accounts after 5 weeks:</u>

f(5) = g(5) = 10*5 + 50 = $100

4 0

3 years ago

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