Answer:
y * ((h * x) + 15)
Step-by-step explanation:
l (Lawns)
h = hours
x = number of hours
y = number of lawns
y * ((h * x) + 15)
<h3>Conner work is correct. Jana work is wrong</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
<em><u>Conner and Jana are multiplying:</u></em>
![(3^56^8)(3^96^{10})](https://tex.z-dn.net/?f=%283%5E56%5E8%29%283%5E96%5E%7B10%7D%29)
Given Conner's work is:
![(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}](https://tex.z-dn.net/?f=%283%5E56%5E8%29%283%5E96%5E%7B10%7D%29%20%3D%203%5E%7B5%2B9%7D6%5E%7B8%2B10%7D%20%3D%203%5E%7B14%7D6%5E%7B18%7D)
We have to check if this work is correct
Yes, Conner work is correct
From given,
![(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}](https://tex.z-dn.net/?f=%283%5E56%5E8%29%283%5E96%5E%7B10%7D%29%5C%5C%5C%5C3%5E5%20%5Ctimes%206%5E8%20%5Ctimes%203%5E9%20%5Ctimes%206%5E%7B10%7D)
Use the following law of exponent
![a^m \times a^n = a^{m+n}](https://tex.z-dn.net/?f=a%5Em%20%5Ctimes%20a%5En%20%3D%20a%5E%7Bm%2Bn%7D)
Therefore,
![3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}](https://tex.z-dn.net/?f=3%5E5%20%5Ctimes%206%5E8%20%5Ctimes%203%5E9%20%5Ctimes%206%5E%7B10%7D%20%3D%203%5E5%20%5Ctimes%203%5E9%20%5Ctimes%206%5E8%20%5Ctimes%206%5E%7B10%7D%20%3D%203%5E%7B5%2B9%7D%20%5Ctimes%206%5E%7B8%2B10%7D%20%3D%203%5E%7B14%7D%20%5Ctimes%206%5E%7B18%7D)
<em><u>Given Jana's work is:</u></em>
![(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}](https://tex.z-dn.net/?f=%283%5E56%5E8%29%283%5E96%5E%7B10%7D%29%20%3D%203%5E%7B5.9%7D6%5E%7B8.10%7D%20%3D%203%5E%7B45%7D6%5E%7B80%7D)
This is incorrect
The powers of same base has to be added. But here, powers are multiplied which is wrong
GIRL WHATS THE QUESTION?! PICTURE?
Answer:
Hence MAD=0.8
Step-by-step explanation:
<u>MAD-</u>
MAD is also known as Mean Absolute Deviation.
We find MAD by the following steps:
- Firstly we find the mean of the data
- Then we subtract each entry from the mean to obtain the deviation
- Then find the absolute value of the deviation which is also known as absolute deviation.
- Finally we find the mean of the absolute deviation.
Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.
The absolute deviation is given as:
1 3 1 0 0 1 0 0 1 1
The mean of this is calculated as:
![\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8](https://tex.z-dn.net/?f=%5Cdfrac%7B1%2B3%2B1%2B0%2B0%2B1%2B0%2B0%2B1%2B1%7D%7B10%7D%3D%5Cdfrac%7B8%7D%7B10%7D%3D0.8)
Hence, MAD=0.8
<u>To find the density:</u>
⇒ must find the relationship between the density, mass, and volume
⇒ ![Density = \frac{mass}{volume}](https://tex.z-dn.net/?f=Density%20%3D%20%5Cfrac%7Bmass%7D%7Bvolume%7D)
<u>Let's examine the information given:</u>
- weight: 1890g
- dimensions: 8cm * 5cm* 5cm
<u>Let's first find the volume:</u>
⇒ the volume is the dimensions multiplied together
![Volume = 8cm * 5cm * 5cm = 200cm^3](https://tex.z-dn.net/?f=Volume%20%3D%208cm%20%2A%205cm%20%2A%205cm%20%3D%20200cm%5E3)
<u>LEt's calculate the density now:</u>
![Density = \frac{1890g}{200cm^3} =9.45g/cm^3](https://tex.z-dn.net/?f=Density%20%3D%20%5Cfrac%7B1890g%7D%7B200cm%5E3%7D%20%3D9.45g%2Fcm%5E3)
<u>Answer:</u> The density of the copper is <u>9.45g/cm^3</u> or <u>Choice (A)</u>
<u></u>
Hope that helps!