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3 years ago

Katie ran 400 m at a speed of 6 m/s at the track meet. How long in seconds) did it take

Mathematics

1 answer:

Leona [35]3 years ago

4 0

Answer:

It takes Katie 66 2/3 seconds to run 400m. Min conversion: 1 min and 6 2/3 secs

Step-by-step explanation:

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3 years ago

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Prove that the diagonals of a rectangle bisect each other.

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Answer:

Step-by-step explanation:

example A(2a,0),B(2b,0)

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4 years ago

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3 years ago

Write each number in scientific notation

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3 years ago

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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .

sammy [17]

Answer:

$32,24,18,\frac{27}{2} ,\frac{81}{8}$

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is $32,x,y,z,\frac{81}{8}$

Recall that term of a geometric sequence are generally in the form:

$a,ar,ar^2,ar^3,ar^4$

This implies that:

a=32 and $ar^4=\frac{81}{8}$

Substitute a=32 and solve for r.

$32r^3=\frac{81}{8}$

$r^4=\frac{81}{256}$

Take the fourth root to get:

$r=\sqrt[4]{\frac{81}{256} }$

$r=\frac{3}{4}$

Therefore $x=32*\frac{3}{4} =24$

$y=24*\frac{3}{4} =18$

$z=18*\frac{3}{4} =\frac{27}{2}$

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3 years ago