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3 years ago

wyatt swims 500 yards in 5 minutes and 15 seconds. what is his swimming speed in yards per minute to the nearest whole yard

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

The answer is 33 yards per minute!

Evgesh-ka [11]3 years ago

3 0

It's 33 mins for sure

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kobusy [5.1K]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
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$\bf \left(\cfrac{2}{3}x^{-3}y^4z^2 \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left[\left( \cfrac{2}{3} \right)^3x^{^{-3\cdot 3}}y^{4\cdot 3}z^{2\cdot 3} \right]}\implies \cfrac{2^3}{3^3}x^{-9}y^{12}z^6
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\cfrac{8}{27}\cdot \cfrac{1}{x^9}y^{12}z^6\implies \cfrac{8y^{12}z^6}{27x^9}$

7 0

3 years ago

Answer this please help needed

klasskru [66]

3.√(27x^9) = (27x^9)^(1/3) = 3x^3

8 0

3 years ago

What is the 87th term of the arithmetic sequence with this explicit formula

emmasim [6.3K]

Answer:Step-by-step explanation:

If there is a sequence and if we are to find its 87th term we must have the general term formula for the sequence.

Normally for sequences which follow a pattern there will be a formula for nth term.

Example is arithmetic sequence nth term = a+(n-1)d where a is the I term and d the common difference.

Similarly for geometric sequence nth term

= is the nth term

Thus to find the 87th term, we must be able to find out the pattern of the sequence by which any term is related to its previous term

Either general term formula or recurring formula should be given to get the 87th term

Step-by-step explanation: is arithmetic sequence nth term = a+(n-1)d where a is the I term and d the common difference. Still stuck? Get 1-on-1 help from an expert tutor now.

8 0

2 years ago

Suppose that the perimeter a rectangle is 54 feet, and the length is 13 feet more than the width. Find the width ractangle, in f

Vesnalui [34]

Answer:7feet

Step-by-step explanation:

perimeter(p)=54ft

Width(w) +13=Length(L)

Perimeter=2xLength+2xwidth

P=2xL+2xw

L=w+13

54=2(w+13)+2w

54=2w+26+2w

Collect like terms

54-26=2w+2w

28=4w

Divide both sides by 4

28/4=4w/4

7=w

Width =7feet

8 0

3 years ago

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

then

$27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}$

Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

$3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8$

4 0

3 years ago