Answer:
Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse
Step-by-step explanation:
Sue's kayaking path is the hypotenuse of a right triangle.
so we use a squared + b squared = c squared
10.5^2+3.2^2=c^2
110.25+10.24=c^2
120.49=c^2
10.9768=c
and then because it said to round to the nearest tenth that would be 11.0 miles.
She's going at an average speed of 3.3 mph
that means it takes her about .3 hours to do 1 mile
so it would take her 3.3 hours to go 11 miles
marty is going at an average speed of 7 mph
so she takes 0.14 hours to go 1 mile
0.14 x 25 = 2.5
So to work this out we need to find the 4th root of each of those and pick the one that gives an integer.
A:
![\sqrt[4]{1.6*10^1^1} = 632.455...](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1.6%2A10%5E1%5E1%7D%20%3D%20632.455...)
This is a decimal therefore <em>not</em> an integer.
B:
![\sqrt[4]{1.6*10^1^2} =1124.682...](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1.6%2A10%5E1%5E2%7D%20%3D1124.682...)
Again a decimal, therefore <em>not </em>an integer.
C:
![\sqrt[4]{1.6*10^1^3} =2000](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1.6%2A10%5E1%5E3%7D%20%3D2000)
This is a whole number, so it <em>is </em>an integer.
D:
![\sqrt[4]{1.6*10^1^4} =3556.558...](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1.6%2A10%5E1%5E4%7D%20%3D3556.558...)
Decimal, therefore <em>not </em>an integer
E:
![\sqrt[4]{1.6*10^1^5} =6324.555...](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1.6%2A10%5E1%5E5%7D%20%3D6324.555...)
Again a decimal, <em>not</em> an integer.
The only one that gives an integer when put to the 4th root is C, therefore:
could be A^4, as the 4th root of it is an integer.
Answer: Socrates was condemned to death in 399 BC after he was found guilty of impiety and of corrupting the youth of Athens. When this sentence was decided upon, Socrates failed to act in his own interests and present a credible alternative to the death penalty.
Hope this helped
:D
Answer:
-29
Step-by-step explanation:
On a number line, negative numbers lie on the left side of zero and positives on the right. The furthest to the right of the number line will be the large number and the furthest to the left will be the smaller. -10 is furthest to the right making it the larger integer and -29 the smallest.
Answer:
1) C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) Continuous
Step-by-step explanation:
1) The given parameters are;
The base fee charged = $25
The amount charged for labor = $40/hour
The total cost for h number of hours is C = $25 + $40 × h
2) The domain for the ≠unction is 0 ≤ h ≤ ∞
The range for the function is 25 ≤ C ≤ ∞
3) The situation is continuous because the different input values of h can be infinite (from o to infinity)
