Answer:
4x^-4/9y^6
Step-by-step explanation:
If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:
(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2
When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4
Going through:
2^2*(x^-2)^2 / 3^2*(y^3)^2
=4*x^-4 / 9*y^6
=4x^-4/9y^6
Hope this helped!
20. 64. 2.7
+29 +49 58.6
------ ------ ---------
49. 113 60 .3
49+60.3+113=21.5
Answer:
Jack in Zeta Labs near Facility Intelligence and Zeta Labs spawn (Sells gadgets like the Presence Reduction Module and Night Vision Goggles)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
<h3>
Answer: No, they do not form a proportion</h3>
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Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
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Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
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2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
