7n +13p + -5 = 15 Hope I helped
x² - 80 = 0
Add 80
to each side: x² = 80
Square root
each side: x = √80
Look it up: x = + 8.944... (rounded)
and
x = - 8.944... (rounded).
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Here's a cleaner solution:
x² - 80 = 0
Add 80
to each side: x² = 80
Square root
each side: x = √80
But 80 = 16 · 5
So √80 = √16 · √5
√16 = 4, so x = 4 √5
Answer:
The newborn grew by forty-five percent.
Step-by-step explanation:
(16-11)/11 * 100
= 5 / 11 * 100
= 0.454545... * 100
≅45 %
Answer:
The correct answer is 60%.
Step-by-step explanation:
We know that the store had a profit of $ 30 for the pair of shoes sold.
Now we must transform that $ 30 into a percentage.
And one of the ways in which we can calculate this percentage is with the following percentage formula:
P is the percentage we want to calculate.
The number B is the profit we have obtained, 30
And number A is the total of the product, 50
Thus:
P= 60 %
Given this information, we can say that the percentage markup is 60%.
Sin^6 x + cos^6 x =
= ( sin² x + cos² x ) ( sin^4 x - sin² x cos² x + cos^4 x ) =
= sin^4 x + 2 sin²x cos² x + cos^4 x - 2 sin² x cos² x - sin² x cos² x =
= ( sin² x + cos² x )² - 3 sin² x cos² x =
= 1 - 3 sin² x cos² x
After that:
1 - 3 sin² x cos² x = 5/8
1 - 5/8 = 3 sin² x cos² x
3/8 = 3 sin² x cos² x / : 3
1/8 = sin² x cos² x / * 4
1/2 = 4 sin² x cos² x
1/2 = ( 2 sin x cos x )²
√2 / 2 = 2 sin x cos x
sin 2 x = √ 2 / 2
2 x = π / 4, or x = 3 π / 4
Answer:
x 1 = π / 8, x 2 = 3 π / 8.
