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2 years ago

(01.03 MC) Which of the following is a step in simplifying the expression (Xy^4/x^-5y^5)^3

Mathematics

1 answer:

Sati [7]2 years ago

4 0

$\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}$

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Solve for x. 7/8 = x/16

Kitty [74]

Answer:

X=16*7/8= 14. by multiplying. 16 *7/8

7 0

2 years ago

Read 2 more answers

Make 'h' as the subject. Remember to rationalize the denominator while solving.

Sliva [168]

Hello there BeGuiLE !

To solve your question, we must first bring 'h' to one side of the equation. Let's bring all the terms with the variable 'h' to the left side of the equation. So,
$\large{\sf\sqrt{ 3 } h = 1.6+h}$
→ $\large{\sf\sqrt{3}h-h=1.6 }$

Now, let's combine the 2 terms containing the variable 'h'.
$\large{\sf\sqrt{3}h-h=1.6 }$
→ $\large{\sf\left(\sqrt{3}-1\right)h=1.6 }$

Now, we need to leave the variable 'h' alone in the left side of the equation & bring (√3 + 1) to the other side of the equation. This is done in order to make 'h' as the subject of the equation. So, we'll get it as,
$\large{\sf\left(\sqrt{3}-1\right)h=1.6 }$
→ $\large{\sf\:h=\frac{1.6}{\sqrt{3}-1} }$

Now, let's rationalize it. Rationalizing is a process where we move the root from the denominator of a fraction to the numerator for easier calculation. So,
$\large{\sf\:h=\frac{1.6}{\sqrt{3}-1} }$
→ $\large{\sf\:h=\frac{1.6(\sqrt{3}+1)}{(\sqrt{3}-1 )(\sqrt{3}+1}) }$
Now, use the algebraic identity, (a + b)(a - b) = a² - b²
→ $\large{\sf\:h=\frac{1.6(\sqrt{3}+1)}{3-1} }$
→ $\large{\sf\:h=\frac{1.6(\sqrt{3}+1)}{2} }$
→ $\boxed{\large{\sf\:h=0.8(\sqrt{3}+1)}}$

Now, we've made 'h' as the subject of the equation. If you want to solve it more, then,
$\large{\sf\:h=0.8(\sqrt{3}+1)}$
Take √3 as 1.73 (approx. value up to 2 decimal places)
→ $\large{\sf\:h=0.8(1.73+1)}$
→ $\large{\sf\:h=0.8(2.73)}$
→ $\boxed{\boxed{\huge{\bf{\:h=2.184 \: (approx.)}}}}$

I hope this will help you.

Please refer to the attached image if the explanation shows some error.

_______

Check out more links which will help you understand the topic better :

■ brainly.com/question/21406377

■ brainly.com/question/696184

_______
$\mathfrak{Lucazz}$

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2 years ago

Read 2 more answers

Write the equation for the last question

Juliette [100K]

Answer:

The story jumps forward in time into later eras of human and scientific development. In each era, someone decides to ask the ultimate "last question" regarding the reversal and decrease of entropy.

Step-by-step explanation:

It's a story

6 0

2 years ago

The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup f

Helga [31]

The cost of each t-shirt is $7, using the equation formed from the given conditions.

In the question, we are given that the drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

We are aske to find the cost of each t-shirt if there are 21 students in the club and the t-shirt order costs a total of $187.

We assume the cost of one t-shirt to be $x.

Thus, the cost of printing 21 t-shirts = $21x.

The setup fee is given to be $40.

Thus, the total cost of printing 21 t-shirts for the dram club = $21x + 40.

But, we are given that the total cost is $187.

Thus, we get an equation,

21x + 40 = 187.

This equation can be solved as follows:

21x + 40 = 187,

or, 21x = 187 - 40,

or, 21x = 147,

or, x = 147/21,

or, x = 7.

Thus, the cost of each t-shirt is $7, using the equation formed from the given conditions.

Learn more about equations at

brainly.com/question/17473531

#SPJ9

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1 year ago

1. What is the basic economic problem that societies must solve?

Gnesinka [82]

Answers

Step-by-step explanation:

1.D

2.A

3. A

4. B

5. B

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2 years ago