Answer:
100 ÷ 59 100. 59. divide those
Step-by-step explanation:
1
Answer:
![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
Step-by-step explanation:
If we have that worded expression, we can convert it into actual mathematical terms.
x to the one sixth power: ![x^{\frac{1}{6}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D)
That to the power of 3:
![(x^{\frac{1}{6}})^3](https://tex.z-dn.net/?f=%28x%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%29%5E3)
Using exponent rules, since we have a power to a power, the powers multiply, so:
![x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B6%7D%5Ccdot%203%7D%5C%5C%5C%5Cx%5E%7B%5Cfrac%7B3%7D%7B6%7D%7D%5C%5C%5C%5C%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.
So:
![x^{\frac{1}{2}} = \sqrt{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20%5Csqrt%7Bx%7D)
Hope this helped!
Answer:
21r +3
Step-by-step explanation:
3(7r + 1) =
Distribute
3*7r +3*1
21r +3
The triangles are similar by SAS principle.
<h3>How to know similar triangles?</h3>
Similar triangles have the same shape but may have different sizes.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are congruent.
Therefore, using SAS ratio,
6 / 8 = 8 × 3 / 32
6 / 8 = 24 / 32 = 3 / 4
Therefore, the corresponding sides are a ratio of each other.
Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal
learn more on similar triangle here: brainly.com/question/21480885
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Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!