Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
it costs the zoo 0.86 per day to feed each bat a variety of soft fruits. Hence:
Cost of 17 egyptian fruit bats = $0.86 per day * 17 = $14.62
It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62
Find out more on equation at: brainly.com/question/2972832
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Answer:
![\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-%5Cfrac%7B1%7D%7B2%7D%26%5Cfrac%7B1%7D%7B6%7D%5C%5C-%5Cfrac%7B1%7D%7B2%7D%26%5Cfrac%7B1%7D%7B3%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
If a 2x2 matrix is given as:
![\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The inverse is:
![\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bad-bc%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dd%26-b%5C%5C-c%26a%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Our matrix given is:
![\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-4%262%5C%5C-6%266%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<em />
<em>Using the formula, let's find the inverse:</em>
<em>![\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bad-bc%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dd%26-b%5C%5C-c%26a%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cfrac%7B1%7D%7B%28-4%29%286%29-%28-6%29%282%29%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%26-2%5C%5C6%26-4%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cfrac%7B1%7D%7B-12%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%26-2%5C%5C6%26-4%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-%5Cfrac%7B1%7D%7B2%7D%26%5Cfrac%7B1%7D%7B6%7D%5C%5C-%5Cfrac%7B1%7D%7B2%7D%26%5Cfrac%7B1%7D%7B3%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
</em>
Step-by-step explanation:
-4 + 14 - 24 = -9t
-24 = -9t
divide both sides by -9
t = 14/9
