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2 years ago

6

one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes

the second hose to fill the pond alone

1 answer:

likoan [24]2 years ago

4 0

Answer:

35

Step-by-step explanation:

$\frac{1}{14} +\frac{1}{t} =\frac{1}{10}$

Solving this ^^ would equal t=35.

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What the recursive formula for the sequence

klemol [59]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ a_n=2-5(n-1)\implies a_n=\stackrel{\stackrel{a_1}{\downarrow }}{2}+(n-1)(\stackrel{\stackrel{d}{\downarrow }}{-5})$

so, we know the first term is 2, whilst the common difference is -5, therefore, that means, to get the next term, we subtract 5, or we "add -5" to the current term.

$\bf \begin{cases} a_1=2\\ a_n=a_{n-1}-5 \end{cases}$

just a quick note on notation:

$\bf \stackrel{\stackrel{\textit{current term}}{\downarrow }}{a_n}\qquad \qquad \stackrel{\stackrel{\textit{the term before it}}{\downarrow }}{a_{n-1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{current term}}{a_5}\qquad \quad \stackrel{\textit{term before it}}{a_{5-1}\implies a_4}~\hspace{5em}\stackrel{\textit{current term}}{a_{12}}\qquad \quad \stackrel{\textit{term before it}}{a_{12-1}\implies a_{11}}$

8 0

3 years ago

The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false? True False

tigry1 [53]

The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>

-4x+y = 6
5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

$-4x+y =6\\y= 6+4x$

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

$5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27$

Substitute the value of x in equation 2,

$5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114$

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

Learn more about system of equations:

brainly.com/question/12895249

6 0

2 years ago

. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.

Anarel [89]

5v+8w

put values

5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

-5i+10j-24i+32j
-5i-24i+10j+32j
-29i+42j

Option A

5 0

1 year ago

Which expression is equivalent to the given expression? (-4ab)3

taurus [48]

Answer:

option d

Step-by-step explanation:

(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)

I hope this helped, please give brainliest if this is correct! Thank you!

6 0

2 years ago

What's 50*20*30*100*300=?

olga2289 [7]

Answer:

It's 900,000,000

Step-by-step explanation:

Multiply them all together.

3 0

2 years ago

Read 2 more answers