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viva [34]
3 years ago
12

Which value is equivalent to 7 x 5 x 2 divided by 7 x 3 to the 2nd power x 5 to the 0 power divided by 2 to the negative 3rd pow

er x 2 to the negative 9 power
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

This is hard to read, but i guess that the equation is:

7*5*2/7*3^2*5^0/2^{-3}*2^{-9}

So we have some things to solve:

First, for any number:

x^0 = 1

then 5^0 = 1.

And for negative powers,

x^-n = (1/x)^n.

And we

Then we can rewrite our equation as:

\frac{7*5*2*3^2*1*2^3}{7*2^9}

now we can cancel the seven in the numerator and the denominator

\frac{5*2*3*2^3}{2^9}

now, remember the relation:

a^x*a^y = a^(x+y)

then:

2*2^3 = 2^4

and 2^4/2^9 = 2^-5 = (1^2)^5

Then our equation is:

\frac{5*3}{2^5}

15/2^5 = 0.46875

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Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

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3 years ago
Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

a) the equation representing the parabola is expressed as

h = -16t² - 4t + 20

c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes

h = -16(25)² - 4(25) + 20

h = - 10000 - 100 + 20

h = - 10080

d) when the coin lands on the ground, the height would be 0. Therefore,

-16t² - 4t + 20 = 0

Dividing both sides of the equation by 4, it becomes

- 4t² - t + 5 = 0

- 4t² - 5t + 4t + 5 = 0

- t(4t + 5) + 1(4t + 5) = 0

- t + 1 = 0 or 4t + 5 = 0

t = 1 or t = - 5/4

Since t cannot be negative, then t = 1 second

4 0
3 years ago
What is <br> Sinx =125/500
Anastasy [175]

Answer:

14.4775121859299

Step-by-step explanation:

sinx = 125/500

sinx = 1/4

or, x = arcsin(1/4)

5 0
3 years ago
What is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?​
pentagon [3]

Answer: Volume = 48

Step-by-step explanation:

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IM STCK PLZ HELP!!! THANK YOU :)
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Answer:

x = 81, y = 68 and z = 99

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is an exterior angle, thus

z = 63 + 36 = 99

x and z form a straight angle and are supplementary, so

x + z = 180, that is

x + 99 = 180 ( subtract 99 from both sides )

x = 81

The sum of the 3 angles in a triangle = 180°, thus

z + y + 13 = 180, that is

99 + y + 13 = 180

112 + y = 180 ( subtract 112 from both sides )

y = 68

7 0
3 years ago
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