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2 years ago

Can anyone help me with this?

Mathematics

1 answer:

avanturin [10]2 years ago

5 0

The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

<h3>How to simplify the expression?</h3>

The algebraic statement is given as:

(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6

Rewrite the algebraic statement as:

[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the like factors

[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the sum

[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]

Expand the exponents

[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]

Evaluate the products

[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]

Apply the quotient law of indices

x^(0+12) y^(10/9) z^(-4/3+3)

Evaluate the sum of exponents

x^(12) y^(10/9) z^(-1/3)

Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

Read more about simplified expression at:

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An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows

Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

where m = slope of the relation.

and c = <em>intercept = the initial fee charged by the electric company</em>.

y = <em>Monthly charge at each time</em>.

x = Usage

To find the slope;

m = (y2 - y1)/(X2 - x1)

m = (28 -22)/(150 - 100)

m = 6/50

m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

82 = 0.12(600) + c.

C = 82 -72

C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0

2 years ago

(-2g^3h)(-3gj^4)^2(-ghj)^2

ratelena [41]

QUESTION -

(-2g^3h)(-3gj^4)^2(-ghj)^2

ANSWER -

−18g^7h^3j^10

Hope i helped have a wonderful day..can i get Brainliest please and thank you...

4 0

3 years ago

During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 f

Sonbull [250]

Answer:

(a) The time the T-shirt takes to maximum height is 2 seconds

(b) The maximum height is 68 ft

(c) The range of the function that models the height of the T-shirt over time given above is $4 + 64\cdot t - 16 \cdot t^{2}$

Step-by-step explanation:

Here, we note that the general equation representing the height of the T-shirt as a function of time is

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

Where:

h = Height reached by T-shirt

t = Time of flight

u = Initial velocity = 64 ft/s

g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²

h₁ = Initial height of T-shirt = 4 ft

(a) The maximum height can be found from the time to maximum height given as

v = u - gt

Where:

u = Initial velocity = 64 ft/s

v = Final upward velocity at maximum height = 0 m/s

g = 32 ft/s²

Therefore,

0 = 64 - 32·t

32·t = 64 and

t = 64/32 = 2 seconds

(b) Therefore, maximum height is then

$h = 4 + 64\times 2 - \frac{1}{2} \times 32 \times 2^{2}$

∴ h = 68 ft

The T-shirt is then caught 41 ft above the court on its way down

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

With u = 64 ft/s

g = 32 ft/s² and

h₁ = 4 ft

The equation becomes

$h =4 + 64\cdot t - \frac{1}{2} \times 32 \cdot t^{2} = 4 + 64\cdot t - 16 \cdot t^{2}$ .

6 0

3 years ago

What percent of 280 is 67.2

Fiesta28 [93]

Answer:

Step-by-step explanation:

percent of 280 is 67.2

280×y/100=67.2

280y/100=67.2

2.8y=67.2

divide by 2.8

y=24

verify

280×24/100=67.2

6720/100=67.2

67.2=67.2

4 0

3 years ago

determine the constant of variation for the direct variation R varies directly with S is given 16, R is 80

valina [46]

Answer:

Step-by-step explanation:

8 0

3 years ago