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Drupady [299]
3 years ago
12

Simplify (4^2)^5 ^ = exponent please help will award the Brainlyest

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Here you go mate'

step 1

(4^2)^5  equation

step 2

(4^2)^5  multiply the equation 5 times

(4^2)(4^2)(4^2)(4^2)(4^2)

step 3

(4^2)(4^2)(4^2)(4^2)(4^2)  solve

4^10

answer

4^10=1048576

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ycow [4]

Answer:-3x+12

Step-by-step explanation:

7 0
3 years ago
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Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
FIND om if LO bisects
disa [49]
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3 years ago
Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If
Eduardwww [97]

Answer:

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Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

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Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

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Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

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3 years ago
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ludmilkaskok [199]

Answer:

Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster

Step-by-step explanation:

EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.

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