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Reika [66]
3 years ago
11

Use the ratio table to fine the unit rate with the specified units

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

15.5 miles per gallon

Step-by-step explanation:

31/2=15.5 so its 15.5 miles per gallon or 31 miles with 2 gallons

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Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or t
asambeis [7]
The apothem represents one side of the right triangle to be solved. Specifically, it represents the height of the triangle.
 The radius of the polygon represents the hypotenuse of the right triangle that is going to be solved.
 Therefore, we can infer that the radius of the polygon is greater than the apothem because the hypotenuse is greater than all sides of a triangle.
 Answer:
 the radius of the polygon is greater
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3 years ago
How do write 804,006 in word form
Sauron [17]
Eight hundred four thousand six.
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28 girls and 35 boys signed up for the team challenge. Each identical team needs to have a girls and boys. What is the greatest
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4 years ago
Ricardo is 4 inches taller than Paige.
mash [69]

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Step-by-step explanation:

4 0
3 years ago
Prove that 9 divides 4" + 6n – 1 for n >1 by mathematical induction.
WINSTONCH [101]

This is a classic problem I think that you mean 4^{n}+6n-1

Answer:

This problem clearly states to use proof by induction, follow the complete answer below.

Step-by-step explanation:

To prove something by induction we have to make a proposition first, in this case:

P(n): 4^{n}+6n-1 is divisible by 9

Where n \in \mathbb{N} is the order of the proposition.

First we have to prove the first few orders, let's just check P(1):

4^1+6\times1-1=9 which is clearly divisible by 9

Now let's assume that P(n) is true that means, our original proposition is true. Now let's try to find out whether P(n+1) is true:

4^{n+1}+6(n+1)-1=4\cdot 4^n+6n+5=4\cdot n+\underbrace{4\cdot 6n-18n}_{6n}-\underbrace{4\cdot 1+9}_{5}=4(4^n+6n-1)-18n+9=4(4^n+6n-1)-9(2n-1)

The 4(4^n+6n-1) is divisible by 9 because we assumed that "(4^n+6n-1) is divisible by 9" was a true proposition. On the other hand 9(2n-1) has a factor of 9 regardless of n, thus is also divisible by 9 that means that P(n+1) is true and it follows that P(n) must also be true, thus proving our initial statement.

8 0
4 years ago
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