Ask question

Ask question

All categories

3 years ago

12

It takes an older pump 3 times as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps

3 hours to
drain the pool. How long will it take the older pump to drain the pool working alone?
Do not do any rounding.

1 answer:

leva [86]3 years ago

7 0

Answer:

it takes approximately 3 hours

Step-by-step explanation:

You might be interested in

What is 32.043 in expanded form (decimal form)

Monica [59]

Oh this is it thrity two.three you welcome and let the answer go let it go

3 0

4 years ago

Simplify 1- cos^2 Θ / cos^2 Θ<br><br> Answers<br><br> sin2 θ<br><br> cos2 θ<br><br> tan2 θ<br><br> 1

Tems11 [23]

Answer:

<h3><u /></h3>

<u>Trigonometric identities</u>

<u />

$\large \begin{aligned}\cos^2 \theta + \sin^2 \theta & = 1\\\implies \quad \quad \sin^2 \theta & = 1 - \cos^2 \theta\\\\\tan \theta=\dfrac{\sin \theta}{\cos \theta} \end{aligned}$

Therefore, using the <u>identities</u>, the given expression can be <em>simplified</em> as follows:

$\large\begin{aligned}\implies \dfrac{1- \cos^2 \theta}{\cos^2 \theta} & = \dfrac{\sin^2 \theta}{\cos^2 \theta}\\\\& = \tan^2 \theta\end{aligned}$

3 0

2 years ago

Read 2 more answers

5x+10=5(x+2) what is the answer I’ll give u 85 points

asambeis [7]

Answer:

All real numbers of x.

Step-by-step explanation:

5x+10=5(x+2) have the exact same equations on both sides.

5x+10=5x+10

If both are graphed, they will intersect each other for every value of x.

5 0

3 years ago

Read 2 more answers

-8v-12=4v+12 is it equal?

Wittaler [7]

Answer:

they are not equal

Step-by-step explanation:

-8v-12=-8v-12

4v+12=4v+12

but you can solve it as an equation

-8v-12=4v+12

make v the subject

-8v-4v=12+12

-12v=24

divide both sides by-12

your answer is-2

8 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

8 0

4 years ago