(6x2 -5x + 10) - (2x2 -x +13)

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

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

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where <em>r</em> is the radius and <em>h</em> is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

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

Since <em>r</em> = 1.2 and <em>h</em> = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

3 years ago

Read 2 more answers

Simplify the radical expression. √10b^4c^4 X 3√33b^3.

ICE Princess25 [194]

Answer:

4.40211148 × 1035 m4 bytes7 / s4 is might be the correct answer I did the math and this is not from the internet

Step-by-step explanation:

6 0

2 years ago

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

Sample mean = $\overline{x}$
Sample size = n
Population mean = $\mu$
Sample standard deviation = s

Then, we get:

$z = \dfrac{\overline{x} - \mu}{s}$

If the sample standard deviation is not given, then we can estimate it(in some cases) by:

$s = \dfrac{\sigma}{\sqrt{n}}$

where $\sigma$ population standard deviation

For this case, we're specified that:

Sample mean = $\overline{x}$ = 2.3
Sample size = n = 15
Population mean = $\mu$ = 2.7
Population standard deviation = $\sigma$ = 0.4

Thus, the value of the z-statistic is evaluated as:

$z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87$

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0

3 years ago

Algebra problem, please help

Mariulka [41]

6 • x + 6 • 9

I’m pretty sure this is right because you have to distribute the 6 to both of the numbers inside of the parentheses

4 0

3 years ago

Read 2 more answers

(Brainliest) Find the equation of the graph, at what values of x does the graph reach its maximum values, on what intervals is t

Gnom [1K]

Answer:

Step-by-step explanation:

The max value that this function reaches is 6, and the function reaches this value repeatedly, beginning at x = 0 and then at x = 6, 12, 15, etc. This tells us that the period of the function is 6.

The function is increasing on (3, 6), (9, 12), and so on

The function is even because the graph is symmetrical about the y-axis.

4 0

3 years ago