The answer is D because....
192/4
$48
From that you can eliminate A and C.
Solve for B and D knowing that she needs 27 more dollars.
216/4= 54 *No*
108/4= 27 *Yes*
$48+$27= $75
Answer:
Graph uploaded!
Step-by-step explanation:
<u>First, let's solve the distributive property.</u>
- 4/5(x - 2) ≤ 6
- => 4x/5 - 8/5 ≤ 6
- => 4x/5 ≤ 6 + 8/5
- => 4x/5 ≤ 38/5
- => x ≤ 19/2
Now, let's plot this inequality on the line. Please check my graph.
Hoped this helped!
Answer:
a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.
Step-by-step explanation:
He appies the empirical 68-95-99.7 rule, where 68% of the data is expected to be within ne standard deviation from the mean, to the right and to the left.
Half of this (68%/2=34%) will be between the mean and one deviation standard to the right. This is between 10 hours and 10+2=12 hours.
The right answer is:
a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.
Answer:
The equivalent expression to the givan expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Step-by-step explanation:
Given expression is 4th root of 324m^12 * the cubed root of 64k^9
The given expression can be written as
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
To find the equivalent expression to the given expression :
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
![=\sqrt[4]{81\times 4m^{12}}\times\sqrt[3]{16\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B81%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B16%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=(3\times \sqrt[4]{m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7Bm%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4m%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4}\times (m^{12})^{\frac{1}{4}})\times (4\times {(k^9)^{\frac{1}{3}})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20%28m%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20%7B%28k%5E9%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^{\frac{12}{4}})\times (4\times k^{\frac{9}{3}})](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E%7B%5Cfrac%7B12%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20k%5E%7B%5Cfrac%7B9%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^3)\times (4\times k^3)](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E3%29%5Ctimes%20%284%5Ctimes%20k%5E3%29)
![=3\sqrt[4]{4}m^3.4k^3](https://tex.z-dn.net/?f=%3D3%5Csqrt%5B4%5D%7B4%7Dm%5E3.4k%5E3)
![=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Therefore the equivalent expression to the given expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
When an ocluded front moves over farmland that has been in a drought then an extended period of rain happens. This beasically happens because <span>the cold air mass from the cold front meets the cool air that was ahead of the warm front. The warm air rises as these air masses come together.</span>