HELP ASAP!!!! Please!!!! Will give brainliest if CORRECT! :)

Simplify. Rewrite the expression in the form 5^n<br>(5^3)^2=<br>

Temka [501]

Answer:

5^12

Step-by-step explanation:

index notation rules states that when there is a power inside AND outside the brackets, they shall multiply together. hence, we will multiply 3 and 2 so we will get 6 and thus the answer will be 5^6. Sike, that's not the answer, we forgot to multiply 5 with that power too... so we will get 25^6 because same power (outside brackey) will affect everything inside...

now after we got 25^6, we need to simplify it to get 5^n ....

so as we know 5^2 is 25, we can do this,

(5^2)^6 so we will multiply the powers to get

5^12 which is your answer :)

pls mark this as brainliestttt

6 0

3 years ago

Need help with this<br>

AleksandrR [38]

Step-by-step explanation:

$\cos( \beta ) + \sin( \beta ) \tan( \beta ) = \sec( \beta )$

$\cos( \beta ) + \sin( \beta ) \frac{ \sin( \beta ) }{ \cos( \beta ) }$

$\cos( \beta ) + \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }$

$\frac{ \cos {}^{2} ( \beta ) }{cos \beta } + \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }$

$\frac{1}{ \cos( \beta ) }$

$= \sec( \beta )$

3 0

3 years ago

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A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 50 minutes of dyeing

lina2011 [118]

Answer: 9 rolls of cloth A and 44 roles of cloth B

Step-by-step explanation:

Let x represent the number of rolls of cloth A that can be dyed and dried.

Let y represent the number of rolls of cloth B that can be dyed and dried.

A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that

50x + 55y = 2880- - - - - - - -1

A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that

45x + 30y = 1740- - - - - - - -2

Multiplying equation 1 by 45 and equation 2 by 50, it becomes

2250x + 2475y = 129600

2250x + 1500y = 87000

Subtracting, it becomes

975y = 42600

y = 42600/975

y = 44

Substituting y = 44 into equation 1, it becomes

50x + 55 × 44 = 2880

50x + 2420 = 2880

50x = 2880 - 2420

50x = 460

x = 460/50

x = 9

4 0

3 years ago

Find the length of the radius of the circle whose perimeter is xcm and the area is

Jobisdone [24]

$\bf \stackrel{\textit{perimeter}}{\textit{circumference}}\textit{ of a circle}\\\\ C = 2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=x \end{cases}\implies x = 2\pi r\implies \boxed{\cfrac{x}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=x \end{cases}\implies x = \pi \left( \boxed{\cfrac{x}{2\pi }} \right)^2\implies x = \pi \cdot \cfrac{x^2}{2^2\pi^2}$

$\bf x = \cfrac{x^2}{4\pi }\implies 4\pi x = x^2\implies \cfrac{4\pi x}{x}=x\implies \blacktriangleright 4\pi = x\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since the radius is}}{r = \cfrac{x}{2\pi }}\implies r =\cfrac{4\pi }{2\pi }\implies \blacktriangleright r = 2\blacktriangleleft$

6 0

3 years ago

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Mark’s father is 55. This is 15 years older than twice Mark's age. How old is Mark? Explain the method used for solving the prob

spin [16.1K]

Mark is 20. 55 - 15 = 40, 40 / 2 = 20. Mark is 20

5 0

3 years ago

Read 2 more answers