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3 years ago

Write each fraction as a decimal. Round to the nearest hundredth if necessary. 5/3

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

1.6 (6 is repeating)

Rounded: 1.66

Advocard [28]3 years ago

6 0

Answer:

1.66666667

Step-by-step explanation:

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

3 years ago

Write the equation of the line given a slope of 0 through the point (5, -7)

wlad13 [49]

Answer:

y=-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0

y=0-7=-7

6 0

3 years ago

Determine the probability of a negative result for a batch of size 10 if the positivity rate

Vlad1618 [11]

The probability of a negative result for a batch will be "0.3487".

Given values are:

Positivity rate,

p = 10% or, 0.1

Batch size,

n = 10

Now,

The probability of negative result will be:

→ $P (batch \ negative) = (1-p)^n$

By substituting the values, we get

→ $=(1-0.1)^{10}$

→ $= (0.9)^{10}$

→ $= 0.3487$

Thus the answer above is right.

Learn more about the probability here:

brainly.com/question/17927863

8 0

3 years ago

How long will it take a car to travel 400 miles at an average rate of 50mph

wel

The answer is 8 hours

5 0

3 years ago

A sugar cookie recipe calls for 5 cups of flour for every 1 cups of sugar. If y y is the number of cups of flour and x x is the

RUDIKE [14]

Yy=5(xx)

works because lets say you need 3 cups of sugar. 3x5 is 15 which is exactly the number of cups of flour you would need

8 0

3 years ago