Because many of the chemical reaction that sustain life
![log_4(y+2)=3](https://tex.z-dn.net/?f=log_4%28y%2B2%29%3D3)
raise each side to base 4
![4^{log_4(y+2)}=4^3](https://tex.z-dn.net/?f=4%5E%7Blog_4%28y%2B2%29%7D%3D4%5E3)
simplify
![(y+2)}=64](https://tex.z-dn.net/?f=%28y%2B2%29%7D%3D64)
using the law of logarithms
![a^{log_ab}=b](https://tex.z-dn.net/?f=a%5E%7Blog_ab%7D%3Db)
=>
y=62
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Number of people living in Georgia = 10,100,000
Number of people living in per square mile = 170
So, we need to find the area of the state :
So, Area of the state is given by
![\frac{\text{Total Population}}{\text{ Number of people per square mile }}\\\\=\frac{10100000}{170}\\\\=59411.76\\\\=59400(\text{ nearest hundred }mi^2)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20Population%7D%7D%7B%5Ctext%7B%20Number%20of%20people%20per%20square%20mile%20%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B10100000%7D%7B170%7D%5C%5C%5C%5C%3D59411.76%5C%5C%5C%5C%3D59400%28%5Ctext%7B%20nearest%20hundred%20%7Dmi%5E2%29)
Hence, Option 'D' is correct.
Answer:
![w = 6](https://tex.z-dn.net/?f=%20w%20%3D%206%20)
Step-by-step explanation:
ST = w + 6,
PR = w
From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:
PR = ½ of ST
Plug in the values into the equation and solve for w.
![w = \frac{1}{2}(w + 6)](https://tex.z-dn.net/?f=%20w%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28w%20%2B%206%29%20)
(distributive property of equality)
(subtraction property of equality)
(multiplication property of equality)
![2w - 6 = w](https://tex.z-dn.net/?f=%202w%20-%206%20%3D%20w%20)
(subtraction property of equality)
![- 6 = - w](https://tex.z-dn.net/?f=%20-%206%20%3D%20-%20w%20)
Divide both sides by -1
![6 = w](https://tex.z-dn.net/?f=%206%20%3D%20w%20)
![w = 6](https://tex.z-dn.net/?f=%20w%20%3D%206%20)
Answer:
the correct one is the first option
Step-by-step explanation:
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