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3 years ago

I need help on a quiz

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer: im dong a final exam i need help

Step-by-step explanation:

Anna [14]3 years ago

5 0

With what????????????????????

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Simplify (4x^4y^3)^3/3(5x^2y^6)^2

jolli1 [7]

Answer: Hence, our simplified form will be :

$\frac{64}{75}x^8y^{-3}$

Step-by-step explanation:

Since we have given that

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}$

We need to simplify the above expression:

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}\\\\=\frac{4^3x^{4\times 3}y^{3\times 3}}{3\times 5^2x^{2\times 2}y^{6\times 2}}\\\\=\frac{64x^{12}y^9}{3\times 25x^4y^{12}}\\\\=\frac{64x^{12}y^9}{75x^4y^{12}}\\\\=\frac{64}{75}x^{12-4}y^{9-12}\\\\=\frac{64}{75}x^8y^{-3}$

Hence, our simplified form will be :

$\frac{64}{75}x^8y^{-3}$

5 0

3 years ago

Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$

5 0

3 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12,5) lies on

anastassius [24]

Find the values of the six t

6 0

3 years ago

Jamie is saving to buy a video game system. He has saved $16, which is 5% of the total cost. What is the cost of the video game

Galina-37 [17]

$320 5 times 20 is 100 so you have to times 16 by 20 to get the total 100% of the video game system

4 0

3 years ago

A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf

sp2606 [1]

Answer:

<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given 120 clothes = produce in 1 hour

X clothes = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960 total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y= 40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y = 960 - 40 = 920 clothes

3 0

3 years ago