All categories

2 years ago

The product of 3 and the difference of 5 and a number

Mathematics

1 answer:

Rus_ich [418]2 years ago

3 0

Answer:

3 * (5 - x)

Step-by-step explanation:

Using the keywords:

product of

difference of

and a number

You might be interested in

Two or more expressions joined by an inequality sign is called

marta [7]

Answer:

inequality

Step-by-step explanation:

Inequality are two or more expressions joined by an inequality sign is called

6 0

2 years ago

Which equation has a solution of -10? -28+32+x=-40 -28x+32x=-40 -28−32+x=6 -28x+23x=2

Leno4ka [110]

I think it is the 3rd one but I might be wrong...

8 0

3 years ago

Read 2 more answers

What is the range of this set of numbers?

Phantasy [73]

Answer:

B. 5

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.

example, 2,10,21,23,23,38,38

38 - 2 = 36

5 0

2 years ago

Read 2 more answers

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for h:

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for h.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

3 years ago

Order the folowing fractions from smallest to largest: 6/5, 9/8, 14/1 and 1 1/4

spin [16.1K]

It would be 9/8, 6/5, 1 1/4, 14/1

3 0

3 years ago

Read 2 more answers