Answer:
2 and 3
Step-by-step explanation:
Alternate exterior angles are angles that are on opposite sides of the transversal and on the exterior, or outside part of the figure. 5 and 7 are vertical angles and on the same side, 7 and 8 are on the interior or inside part of the shape, and 4 and 6 are also interior angles.
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Answer:
16 3/10
Step-by-step explanation:
Think about what fraction become .3 when put into a calculator
that's a 3 in the tenths place in the decimal system so the fraction would be 3/10. Then finally add on the 16
*an aside if this is wrong it it is possible that they have rounded 1/3 to one decimal place. (1/3 is usually .33333 repeating)
Answer:
<u><em>Page # 1:</em></u>
1) ![\sqrt{88}](https://tex.z-dn.net/?f=%5Csqrt%7B88%7D)
= 9.38
2) ![\sqrt[3]{800}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B800%7D)
= 9.28
3) ![\sqrt[4]{900}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B900%7D)
= 5.48
4) ![\sqrt[5]{40000}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B40000%7D)
= 8.33
<em><u>Page # 2:</u></em>
1) ![\sqrt[3]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%7D)
= 1
2) ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
3) ![\sqrt[3]{125}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D)
= 5
Answer: ![x=1.85](https://tex.z-dn.net/?f=x%3D1.85)
Step-by-step explanation:
Given the expression
, apply natural logarithm to both sides. Then:
![ln(10)^{4x-5}=ln(e)^{3x}](https://tex.z-dn.net/?f=ln%2810%29%5E%7B4x-5%7D%3Dln%28e%29%5E%7B3x%7D)
Remember that according the the properties of logarithms:
![ln(a)^m=mln(a)](https://tex.z-dn.net/?f=ln%28a%29%5Em%3Dmln%28a%29)
![ln(e)=1](https://tex.z-dn.net/?f=ln%28e%29%3D1)
Then:
![(4x-5)ln(10)={3x}](https://tex.z-dn.net/?f=%284x-5%29ln%2810%29%3D%7B3x%7D)
Apply distributive property and solve for "x". Then you get:
![4x*ln(10)-5ln(10)=3x\\\\4x*ln(10)-3x=5ln(10)\\\\x(4ln(10)-3)=5ln(10)\\\\x=\frac{5ln(10)}{4ln(10)-3}\\\\x=1.85](https://tex.z-dn.net/?f=4x%2Aln%2810%29-5ln%2810%29%3D3x%5C%5C%5C%5C4x%2Aln%2810%29-3x%3D5ln%2810%29%5C%5C%5C%5Cx%284ln%2810%29-3%29%3D5ln%2810%29%5C%5C%5C%5Cx%3D%5Cfrac%7B5ln%2810%29%7D%7B4ln%2810%29-3%7D%5C%5C%5C%5Cx%3D1.85)
Answer:
D
Step-by-step explanation:
If you multiply something that is a negative number by something that is positive, in this case, the power of 2, then the answer will still be negative. So -5 ^ 2 is negative 25. When you calculate the power of a negative number, then the result depends on the power of the number, so if it's a positive 2 then the answer will be positive.