Answer:
2.5 hours
Step-by-step explanation:
Given that :
Temperature in Neil's city :
72.6° and rising by 1.3° per hour
Temperature in Sheppard's city :
80.4° and dropping by 1.82° per hour
In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city
Let number of hours = h
Hence, Neil city :
72.6 + 1.3h
Sheppard city:
80.4 - 1.82h
72.6 + 1.3h ≥ 80.4 - 1.82h
1.3h + 1.82h ≥ 80.4 - 72.6
3.12h ≥ 7.8
h ≥ 2.5
Two and half hours (2 hours 30 minutes)
It’s shown in the picture !!!!!!
Answer:
Step-by-step explanation:
We'll take this step by step. The equation is
![8-3\sqrt[5]{x^3}=-7](https://tex.z-dn.net/?f=8-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-7)
Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:
![-3\sqrt[5]{x^3}=-15](https://tex.z-dn.net/?f=-3%5Csqrt%5B5%5D%7Bx%5E3%7D%3D-15)
The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:
![\sqrt[5]{x^3}=5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3D5)
Let's rewrite that radical into exponential form:

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:
![x=\sqrt[3]{5^5}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B5%5E5%7D)
Let's group that radicad into groups of 3's now to make the simplifying easier:
because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:
which is the same as:
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
4 3/4 =19/4=57/12
57/12 is larger than 38/12