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Alexeev081 [22]

3 years ago

13

In a certain area of the savanna that is 12 km long and 5 km wide, there are 180 giraffes. How many giraffes are there per squar

e mile in this area?

1 answer:

postnew [5]3 years ago

3 0

There are about 7.77 giraffes per square mile

Step-by-step explanation:

The given is:

In a certain area of the savanna that is 12 km long and 5 km wide
There are 180 giraffes in this area

We need to find how many giraffes per square mile in this area

At first let us change the kilometer to mile

∵ 1 km = 0.621371 miles

∵ The length is 12 km and the width is 5 km

∴ 12 km = 12 × 0.621371 = 7.456452 miles

∴ 5 km = 5 × 0.621371 = 3.106855 miles

∵ The area = Length × width

∴ The area = 7.456452 × 3.106855

∴ The area = 23.16611518 miles²

∵ There are 180 giraffes in this area

- Divide the number of giraffes by the area

∵ 180 ÷ 23.16611518 = 7.769969139

∴ There are about 7.77 giraffes per square mile

There are about 7.77 giraffes per square mile

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

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Answer:

The student's overall grade is 85.79%

Step-by-step explanation:

Given in the question that:

Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%

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A particular student scored the following;

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3 0

3 years ago

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

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$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

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Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

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So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the $2 L$ to the total amount of a gallon:

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