Which radical expression is equivalent to 3^3/4

Answers

Answer 1

Answer: The numerator of the fraction is the power of the number and the denominator is the root of the number. This is expressed as follows:

⁴√(3)³

Answer 2

Answer:

Answer:27

Step-by-step explanation:

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What is another way to write the ratio 3 to 10

Answers

Under ratio and proportion, there are a couple of ways you can use aside from using words to establish the relationship between 2 numbers.

One would be in a fraction form where "3 to 10" can be written as "3/10", or using a colon between the two numbers, where it would be written as "3:10". It is necessary to understand that these forms all mean the same, even if they look really different.

Using the following image, if you EG = 59, what are x, EF, and FG.

Answers

Answer:

$x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units$

Step-by-step explanation:

Given: $EG =59 \,\,units$

To find: $x,EF,FG$

Solution:

From the image, $EG=EF+FG$

Put $EF=8x-14\,,\,FG=4x+1\,,\,EG=59$

$8x-14+4x+1=59\n12x-13=59\n12x=59+13\n\n12x=72\nx=(72)/(12)=6$

$EF=8x-14=8(6)-14=48-14=34\nFG=4x+1=4(6)+1=24+1=25$

Therefore,

$x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units$

Find the second derivative for y=(x+2)/(x-3)

Answers

Let's find the first derivative.

Using quotient rule

$f(x)=(g(x))/(h(x))$

$f'(x)=(g'(x)*h(x)-g(x)*h'(x))/(h^2(x))$

then:

$y=(x+2)/(x-3)$
$f(x)=y$

$g(x)=x+2$

$g'(x)=1$

$h(x)=x-3$

$h'(x)=1$

Let's replace

$f'(x)=(g'(x)*h(x)-g(x)*h'(x))/(h^2(x))$

$y'=(1*(x-3)-(x+2)*1)/((x-3)^2)$

$y'=(x-3-x-2)/((x-3)^2)$

$\boxed{y'=(-5)/((x-3)^2)}$

the second derivative is the derivative of our first derivative.

$y'=(-5)/((x-3)^2)$

We can write this function as

$y'=-5*(x-3)^(-2)$

now we have to use the Chain rule's

$f(u)=-5u^(-2)$

and

$g(x)=x-3$

$f[g(x)]=-5*(x-3)^(-2)$

then

$f'[g(x)]=f'(u)*g'(x)$

$f'(u)=-5*(-2)*u^(-3)=10*u^(-3)$

$g'(x)=1$

$f'[g(x)]=f'(u)*g'(x)$

Let's replace

$f'[g(x)]=10*u^(-3)*1$

Let's change u by $(x-3)$

$f'[g(x)]=10*u^(-3)$

$f'[g(x)]=10*(x-3)^(-3)$

$\boxed{\boxed{y''=(10)/((x-3)^(3))}}$

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Answers

Answer:

weight of one person + luggage=160pounds

the elevator supports 1200 pounds

maximum number of people in the elevator:

1200/160=7.5 or 7 people

Step-by-step explanation:

Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising

Answers

Answer:

D = $(-d)/(-2)$

Step-by-step explanation:

The amount of money that the students will pay back with the fundraiser (D) would be half of the current debt (d) since debt is represented as a negative but the fundraiser needs to be a positive since it is money gained we would divide by -2

D = $(-d)/(-2)$

This equation shows the debt that will be repaid through the fundraiser which would be exactly half of the current debt.

What is bigger 3 quarters or 5 eighths

Answers

Answer

3 quarters

Step-by-step explanation:

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