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3 years ago

Answer asap10 points

Mathematics

2 answers:

Rus_ich [418]3 years ago

5 0

Answer:

Step-by-step explanation:

1. 5/(1/2) = 5*2 = 10

2. 9/(1/3) = 9*3 = 27

3. 8/(3/4) = 8*(4/3) = 32/3 = 10 2/3

4. 12/(2/6) = 12*(6/2) = 12*3 = 36

5. 16/(4/5) = 16*(5/4) = (80/4) = 20

nydimaria [60]3 years ago

3 0

Answer:

Please follow;

Please follow;Hope you're having a splendiferous day.

Step-by-step explanation:

1. 5÷½=10

2. 9÷⅓=27

3. 8÷⅘=10

4. 12÷2/6=36

5. 16÷⅘=20

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An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d

denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. $w\times 2w\times h=36$

$h=\frac{18}{w^2}$

The equation form when top is open,

$f(w)=2w^2+2wh+2(2w)h$

Substitute the value of h,

$f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})$

$f(w)=2w^2+\frac{36}{w}+\frac{72}{w}$

$f(w)=2w^2+\frac{108}{w}$

Derivate w.r.t 'w',

$f'(w)=4w-\frac{108}{w^2}$

For critical point put it to zero,

$4w-\frac{108}{w^2}=0$

$4w=\frac{108}{w^2}$

$w^3=27$

$w^3=3^3$

$w=3$

Derivate the function again w.r.t 'w',

$f''(w)=4+\frac{216}{w^3}$

For w=3, $f''(3)=4+\frac{216}{3^3}=12 >0$

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = $\frac{18}{3^2}=2\ ft$

Therefore, the dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

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4 years ago

7. x – 5y = 4 2x + 14 = y

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3 years ago

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3 years ago

A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a qu

blagie [28]

It will take 2 hours for the ambulance to pass the police car.

Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:

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3 years ago

A=2x+y²/7 make y the subject of the formula

ValentinkaMS [17]

Answer:

y=√(7A-2x)

Step-by-step explanation:

A=2x+y²/7

Multiplying both sides by 7

7A=2x+y²

7A-2x=y²

Taking square root on both sides

y=√(7A-2x)

4 0

3 years ago

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Answer asap10 points​

Answer asap10 points