Answer:
y = 20.922
Step-by-step explanation:
Simply plug in <em>x</em> and evaluate:
y = 15 + 3ln(7.2)
Only way to calculate ln is to plug into a calc:
We should get 20.9222 as our answer.
Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
Answer:
<h2>
25154.34![{cm}^{3}](https://tex.z-dn.net/?f=%20%3C%2Fstrong%3E%3Cstrong%3E%20%3C%2Fstrong%3E%3Cstrong%3E%7Bcm%7D%5E%7B3%7D%20)
</h2>
Step-by-step explanation:
Given,
Radius ( r ) = 49 cm
Height (h) = 10 cm
Volume of cone=?
Now,
Applying the formula to find the volume of cone:
![\pi \: {r}^{2} \frac{h}{3}](https://tex.z-dn.net/?f=%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%20%5Cfrac%7Bh%7D%7B3%7D%20)
Plugging the values,
![\frac{22}{7} \times {49}^{2} \times \frac{10}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%20%7B49%7D%5E%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B10%7D%7B3%7D%20)
![\frac{22}{7} \times 2401 \times \frac{10}{3}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%202401%20%5Ctimes%20%20%5Cfrac%7B10%7D%7B3%7D%20)
Calculate
![25153.34 \: {cm}^{3}](https://tex.z-dn.net/?f=25153.34%20%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20)
Hope this helps...
Good luck on your assignment..
Answer:
the numerator is 31 and the bottom is 8
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation: