Answer:
F(1)+F(5)= 30
Step-by-step explanation:
F(1)=1^2+2=1+2=3
F(5)=5^2+2=25+2=27
27+3=30
The game costs 25 dollars. If 6/5 = 30 then 5/5 would be 25
Exponentail thingies
easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0
now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero
5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1
5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4
x=log₅1 and/or log₅4
second quesiton
same thing
1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero
2^x-8=9
2^x=8
x=3
2^x-2=0
2^x=2
x=1
x=3 or 1
first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3
Answer:
r = 6 cm
Step-by-step explanation:
The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?
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The volume of a sphere of radius r is:
V+=+4%2Api%2Ar%5E3%2F3
It's r cubed, not tripled. meaning r*r*r
-------------------
288pi+=+4%2Api%2Ar%5E3%2F3
864+=+4r%5E3
r%5E3+=+216
r = 6 cm
Given:
Matthew's dad hired him to paint 6 wooden patio chairs for $125.
Time taken by him to paint all of the chairs = 9 hours.
It takes the same amount of time to paint each chair.
To find:
The fraction of an hour does it take Matthew to paint one chair
Solution:
Total time = 9 hours
Total number of chairs = 6
Now, time taken by Matthew to paint one chair is
Therefore, Mattew takes of an hour to paint one chair.
Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.