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topjm [15]
3 years ago
13

Simplify the expression √((49x^4)/y^5 ). Show your work.

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

Step-by-step explanation:

\sqrt{\frac{49x^{4}}{y^{5}}}=\sqrt{\frac{7*7*x*x*x*x}{y*y*y*y*y}}\\\\=\frac{7*x*x}{y*y}\sqrt{\frac{1}{y}}\\\\=\frac{7x^{2}}{y^{2}}\sqrt{\frac{1}{y}}

Slav-nsk [51]3 years ago
5 0

Answer:7x^2 \sqrt{y} /y^3

Step-by-step explanation:

You might be interested in
First-order linear differential equations
kkurt [141]

Answer:

(1)\ logy\ =\ -sint\ +\ c

(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Step-by-step explanation:

1. Given differential equation is

  \dfrac{dy}{dt}+ycost = 0

=>\ \dfrac{dy}{dt}\ =\ -ycost

=>\ \dfrac{dy}{y}\ =\ -cost dt

On integrating both sides, we will have

  \int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}

=>\ logy\ =\ -sint\ +\ c

Hence, the solution of given differential equation can be given by

logy\ =\ -sint\ +\ c.

2. Given differential equation,

    \dfrac{dy}{dt}\ -\ 2ty\ =\ t

=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty

=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})

=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt

On integrating both sides, we will have

   \int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}

=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c

=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Hence, the solution of given differential equation is

log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

8 0
3 years ago
Evan invested $800 in an account that pays 3.25% interest compounded annually.
Aleksandr [31]

Answer:

Evans would have $852.8

Step-by-step explanation:

Given

PV = \$800

r = 3.25\%

t = 2

n = 1 --- annually'

Required

The future value

This is calculated using:

FV = PV*(1 + \frac{r}{n})^{nt

So, we have:

FV = 800 * (1 + 3.25\%/1)^{2*1}

FV = 800 * (1 + 3.25\%)^{2}

FV = 800 * (1 + 0.0325)^{2}

FV = 800 * (1 .0325)^2

FV = 852.845

FV = 852.8

FV =

8 0
3 years ago
A person can pay $8 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum
laila [671]

The maximum number of visits for a member of science museum is 36.

Step-by-step explanation:

Given,

Membership fee = $8

Per visit fee = $1

Total cost = $44

Let,

x be the number of visits

y be the total cost

Total cost = per visit fee*number of visits + membership fee

y = x+8

44=x+8\\44-8=x\\36=x\\x=36

The maximum number of visits for a member of science museum is 36.

Keywords: variable, addition

Learn more about variables at:

  • brainly.com/question/12801884
  • brainly.com/question/12817595

#LearnwithBrainly

5 0
3 years ago
What is the fractional notation of 2.4%
Vanyuwa [196]
2.4% = 2.4/100 or as a decimal fraction 0.024.
8 0
3 years ago
2. Diamond has $350 in her bank account. She
lorasvet [3.4K]

Answer:

$173.70 will be the balance

Step-by-step explanation:

350 - (4*18.45) - (2*51.25)

350 - 73.80 - 102.50= 173.70

7 0
3 years ago
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