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3 years ago

Is 3^9 greater than 7^5? How much less than or greater than is 3^9 compared to 7^5? Show your work

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Is 3^9 greater than 7^5?

$3^9 = 3*3*3*3*3*3*3*3*3= 19683$

$7^5 = 7*7*7*7*7=16807$

19683 is greater than 16807

so $3^9 \ greater \ than \ 7^5$

Now we compare $3^9 \ and \ 7^5$

for that we compare 19683 and 16807

19683 - 16807= 2876

19683 is 2876 more than 16807

So , $3^9$ is 2876 greater than $7^5$

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Answer:

Step-by-step explanation:

Given

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One Bag: $x^2 - 81$

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

$Bags = \frac{x^2+18x+81}{x^2 - 81}$

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$Bags = \frac{x^2+9x+9x+81}{x^2 - 81}$

$Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}$

$Bags = \frac{(x+9)(x+9)}{x^2 - 81}$

Express 81 as 9²

$Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}$

Evaluate as difference of two squares

$Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}$

$Bags = \frac{(x+9)}{(x - 9)}$

Hence, the number of bags is $Bags = \frac{(x+9)}{(x - 9)}$

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3 years ago

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Step-by-step explanation:

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Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.

<h3>What is the Arithmetic Sequence?</h3>

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

The arithmetic sequence formula is;

aₙ = a + (n − 1)d,

where;

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n is the position of the term in the sequence

d is the common difference

aₙ is the nth term of the sequence.

Our sequence is 10, 14, 18, 22 up to row 20.

Using the sequence formula;

$a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.$

Thus, the number of seats in row 20 was 86 seats.

Read more about Arithmetic Sequence at;

brainly.com/question/26960394

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2 years ago

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umka21 [38]

<h2>Answer:</h2>

<em>Question 10. </em><u><em>The truck travels faster</em></u><em>.</em>

<em>Question 11. </em><u><em>The slug travels faster</em></u><em>.</em>

<h2>Step-by-step explanation:</h2>

<h2><u>Question 10.</u></h2>

<u />

<h3>1. Find the velocity of each vehicle.</h3>

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$Speed_{Car} =\frac{200(miles)}{2(hours)}=100mi/h. \\\\ Speed_{Truck} =\frac{300(miles)}{2.5(hours)} =120mi/h.\\ \\$

<h3>2. Compare the velocities.</h3>

$Speed_{Car} =100mi/h < Speed_{Truck} =120mi/h.$

<em>Hence, the trucks travels faster than the car.</em>

<h2><u>Question 11.</u></h2>

<em>Apply the same method as in question 10.</em>

<h3>1. Find the velocity of each body.</h3>

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<h3>2. Compare the velocities.</h3>

$Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min < Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.$

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