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3 years ago

. The AutoCorrect feature can automatically capitalize the first letter in the names of days.

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

True. The AutoCorrect feature can automatically capitalize the first letter in the names of days.

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Which number is in the correct format for scientific notation?

olchik [2.2K]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

Rules for using scientific notation:

1.- The number before the decimal point must be between 1 and 10.

2.- Determine the exponent

3.- It must be in decimal format, ( x 10)

A 3.8*10^12 This number is in correct scientific notation.

B 33.8* 10 This number is incorrect, because before the decimal point the number must be between 1 and 10.

C 3.8 *20^8 This number is incorrect because the power must be 10 not 20.

6 0

3 years ago

For a two way frequency tables the variables can be found

34kurt

Answer: C. Along the rows and columns .

Step-by-step explanation:

3 0

4 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

Optimizing With Derivatives

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

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

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

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

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

3 years ago

Pleaseee answer quick

FinnZ [79.3K]

Answer: m

Step-by-step explanation:

if you are talking about a specific point, then it would be m because OA, AB and

<-->

all have other points to them.

AB is when you are trying to explain the distance between AB

m would be used just to figure out where that point on the grid really is

6 0

3 years ago

What is the slope of the point (1÷4,3÷2)and (-1,-3)

Viefleur [7K]

Step-by-step explanation:The slope calculator helps find the slope of any line through two given ... the slope of the line passing through the points (3,8) and (-2, 10) . ... A 1/20 slope is one that rises by 1 unit for every 20 units traversed horizontally.

3 0

3 years ago

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