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3 years ago

10

Water flows through a pipe at a rate of 5 pints per minute. Express this rate of flow in liters per hour. Round your answer to t

he nearest whole number. please help!!!

2 answers:

Brums [2.3K]3 years ago

8 0

Answer:142

Step-by-step explanation:

vekshin13 years ago

4 0

Answer:

142 l/hr

Step-by-step explanation:

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A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate

katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

$\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}$

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

$10 =2w\times w\times h$

$10=2w^2h$

The height in terms of width is represented as,

$h=\frac{10}{2w^2}$

$h=\frac{5}{w^2}$

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

$C=10(L\times W)+6(2\times L\times H+2\times W\times H)$

$C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})$

$C=20w^2+\frac{120}{w}+\frac{60}{w}$

$C(w)=20w^2+\frac{180}{w}$

To get the minimum value,

Differentiate the cost w.r.t 'w',

$C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}$

$C'(w)=20\times 2w-180 w^{-2}$

$C'(w)=40w-\frac{180}{w^2}$

To find critical points put derivate =0,

$40w-\frac{180}{w^2}=0$

$40w=\frac{180}{w^2}$

$w^3=\frac{180}{40}$

$w=\sqrt[3]{4.5}$

$w=1.65$

We find the second derivative to minimize,

$C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}$

$C''(w)=40+360(w^{-3})$

$C''(w)>0$

As $C''(w)>0$ it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

$C(1.65)=20(1.65)^2+\frac{180}{1.65}$

$C(1.65)=54.45+109.09$

$C(1.65)=163.54$

Therefore, the cost of materials for the cheapest such container is $163.54.

7 0

3 years ago

On field day, Breanna long jumped 62 inches, Myquisha jumped 5 feet 4 inches, and Ariana jumped 1 yard, 2 feet, 7 inches. Which

ella [17]

Let’s convert all their jumps into inches.

Breanna’s is already in inches (62)

Myquisha jumped 5 feet 4 inches
There are 12 inches in a foot, so

5 feet * 12 inches= 60 inches

Then add the 4 inches
60+4= 64
So Myquisha jumped 64 inches.

Ariana jumped 1 yard, 2 feet, 7 inches

1 yard is equal to 3 feet.

So, she jumped 5 feet 7 inches

12 inches in a foot, so
5*12=60 inches

Add the 7
60+7= 67 inches

So Breanna jumped 62, Myquisha 64 and Ariana 67

In order of shortest to longest:

Breanna, Myquisha, Ariana

3 0

4 years ago

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Need some help please

drek231 [11]

Dan...... hope this helps

7 0

3 years ago

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A florist uses 225 branches of winterberry to make 75 wreaths. Based on the ratio or unit rate, how many branches of winterberry

kondaur [170]

Answer:

the number of branches required to use 25 wreaths is 75 branches

Step-by-step explanation:

Given that

The florist used 225 branches of winterberry for making 75 wreaths

First we have to compute the unit rate or the ratio

= 225 ÷ 75

= 3 : 1

Now the number of branches required to use 25 wreaths is

= 3 × 25

= 75 branches

Hence, the number of branches required to use 25 wreaths is 75 branches

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3 years ago

Help asap!!!<br><br><br><br><br><br> Please help

Pie

Why dont you try B.33

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3 years ago

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