Simplify 7(2+5) using Distributive Property

Select all of the terms that are "like." xy2 2xy x2 -xy 2x2y xy

Alinara [238K]

Xy2 and 2xy are the only ones with common factors

7 0

3 years ago

When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v squared w

Sati [7]

Answer:

Step-by-step explanation:

The model fo the shell is given by the following equation of equilibrium:

$\Sigma F = -b\cdot v^{2} - m\cdot g = m\cdot \frac{dv}{dt}$

This first-order differential equation has separable variables, which are cleared herein:

$\int\limits^t_{0\,s} \, dt = -\frac{m}{b} \int\limits^{0\,\frac{m}{s} }_{600\,\frac{m}{s} } {\frac{1}{ v^{2}+\frac{m}{b}\cdot g } } \, dv$

The solution of this integral is:

$t = -\frac{m}{2b}\cdot \left[\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } }\right) - \tan^{-1} \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }\right)\right]$

$\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } } \right)=-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)$

$\frac{v}{\sqrt{\frac{m\cdot g}{b} } }=\tan \left[-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)\right]$

$v = \sqrt{\frac{m\cdot g}{b} } \left [\frac{\tan \left(-\frac{2\cdot b \cdot t}{m} \right)+ \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)}{1 - \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)\cdot \tan \left(-\frac{2\cdot b \cdot t}{m} \right) }\right]$

4 0

2 years ago

What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?

Alexxx [7]

The common ratio in a geometric sequence is the ratio between 2 consecutive terms:

-8/2=-4,

then the sequence is 2, -8, 32, -128, -512, 2048, ...

let $a_n$ be the nth term of the sequence, then

$a_1= 2$
$a_2=2(-4)$
$a_3=2(-4)(-4)=2(-4)^{2}$
$a_4=2(-4)(-4)(-4)=2(-4)^{3}$
.
.
.
so clearly $a_n=2(-4)^{n-1}$

and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!

Answer:

C. an=2(-4)^n-1; all integers where n>0

5 0

3 years ago

Simplest form of (36^)1/3

nekit [7.7K]

3,301927249 = ³√36

As discussed in one of my videos on my channel [USERNAME: MATHEMATICS WIZARD] on the Six Rational Exponential Rules, this one states that with a numerator of 1 in the exponent, you take the multiplicative inverse [reciprocal] of the fraction, and set the whole number equal to the root, bringing your a inside the radical, which is 36.

ⁿ√aᵐ = aᵐ\ⁿ → works for both: numerator ≥ 1

I am joyous to assist you anytime.

5 0

2 years ago

Ella had softball and dance practice for 4 weeks. She practiced softball 2 hours a week and dance 1 hour a week. Which operation

weqwewe [10]

4 multiplied by 2 by 1 because its her hours for the weeks no other way to calculate this problem

4 0

2 years ago

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