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3 years ago

Simplify the expression 8x^-4 y^-8/-2xy^5 (Note ^ equals to the power of)

Mathematics

1 answer:

krek1111 [17]3 years ago

7 0

-4/x^5y^13 because since you have negative exponents on the top you switch them to the bottom

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Mr. Quick bought a new computer system. The regular price was $1580, but he got 40% off. What is the discount

denpristay [2]

Answer: The discounted price is $948. The value of the discount itself is $632.

Step-by-step explanation:

<h3>To calculate discounts, you multiply the percentage of the discount as a decimal with the price of the product.

In this particular case:

0.40 [percentage of discount] x $1580 [original cost] = $632 (the amount of the discount) </h3><h3>$1580 - $632 = $698 [new price after discount is applied]</h3>

4 0

2 years ago

A cylinder has a radius of 20 cm and a height of 2 cm. Find the height of another cylinder that has a radius of 4 cm and the sam

iogann1982 [59]

Answer:

The height of the another cylinder 'h' = 7

Step-by-step explanation:

<u>Explanation</u>:-

Surface area of the cylinder = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

= 2п(20)(2)+2п(2)^2

= 4п(20+2)

The surface area of first cylinder is 88п

<u>Step 2</u>:

given data The surface area of first cylinder is 88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder = 2пrh + 2пr^2 = 88п

2п(4)h+2п(4)^2 =88п

on simplification we get

2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

4h+16 = 44

4h = 44-16

4h = 28

h=7

Therefore the height of the another cylinder is 'h' =7

3 0

3 years ago

I need help ASAP please

Brilliant_brown [7]

Answer:

28 cm

Step-by-step explanation:

The formula for the area of a triangle is 1/2bh

Here we have 1/2 (14)(4)

That comes to 28 cm

5 0

3 years ago

the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region

m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

$\frac{x}{360} \pi {r}^{2}$

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

$16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) }$

This isn't the standard formula, it's for this problem

$16 = \sqrt{200 - 200 \times \cos(o) }$

$16 = \sqrt{200 - 200 \cos(o) }$

$256 = 200 - 200 \cos(o)$

$56 = - 200 \cos(o)$

$- \frac{7}{25} = \cos(o)$

$\cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) )$

$106.26 = o$

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

$\frac{106.26}{360} (100)\pi$

$\frac{10626}{360} \pi$

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

$\frac{36}{2} = 18$

$\sqrt{18(18 - 10)(18 - 10)(18 - 16)}$

$\sqrt{18(8)(8)(2)}$

$\sqrt{(36)(64)}$

$6 \times 8 = 48$

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

$\frac{10626}{360} - 48$

Which is an approximate or

44.73

6 0

2 years ago

The line of best fit for a scatter plot is shown:

scoray [572]

(0,6)(4,3)
slope = (3 - 6) / (4 - 0) = -3/4
ur y int (where the line crosses the y axis) is (0,6)

in y = mx + b form, the slope will be in the m position and the y int will be in the b position.

Therefore, ur equation is : y = -3/4x + 6 <==

8 0

3 years ago

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