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2 years ago

Please help me with any of the questions

Mathematics

1 answer:

Svetlanka [38]2 years ago

7 0

1.) There are 6 numbers you can roll on a standard dice: 1, 2, 3, 4, 5, 6
There are 3 odd and 3 even. Keep in mind that an odd plus an odd will always be even and an even plus an even will always equal an even. Only if you add an odd and an even will you get an odd.

The chances of getting an even sum are much higher which is why you should choose even.

3.) The formula for finding the area of an equilateral triangle is (√3)/4(a^2) where a is just a side length.

Because the perimeter is 12 and each side of an equilateral triangle is equal, we can divide 12 by 3 sides and get each side is 4. Plug in 4 for a.

(√3)/4(4^2) = (√3)/4(16)

Because (√3)/4 = (1 x √3)/4,
(√3)/4(16) is equal to (16 x √3)/4

You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to. We get 4√3 as the final answer.

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Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least

WINSTONCH [101]

Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

Pn(0.2)

Error < 0.01

We will use the format;

[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01

So;

f(x) = ln(1+x)

First derivative: f'(x) = 1/(x + 1) < 0! = 1

2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1

3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2

4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6

This follows that;

Max|f^(n+1) (c)| < n!

Thus, error is;

(n!/(n + 1)!) × 0.2^(n + 1) < 0.01

This gives;

(1/(n + 1)) × 0.2^(n + 1) < 0.01

Let's try n = 1

(1/(1 + 1)) × 0.2^(1 + 1) = 0.02

This is greater than 0.01 and so it will not work.

Let's try n = 2

(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267

This is less than 0.01.

So,the least integer for n is 2

7 0

3 years ago

A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of

vlabodo [156]

??... what lol good job tho

8 0

2 years ago

Read 2 more answers

I am really confused about this question for math.. any help would be really appreciated:

Elina [12.6K]

$y= (\frac 1 4 )^x$

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

$y'= -y = - (\frac 1 4)^{x'}$

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

$x'=x''/2, y'=y''/2$

$y''/2= - (\frac 1 4)^{x''/2}$

$y'' = - 2((\frac 1 4)^{1/2})^{x''}$

$y''= - 2(\frac 1 2)^{x''}$

We can rewrite that without the primes and combine the powers of 2.

$y = - 2^{1-x}$

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

6 0

2 years ago

What is bigger grams or milligrams?

AysviL [449]

A gram, because a milligram is one thousandth of a gram.

6 0

2 years ago

A new television set was recently purchased for the common room in a residence hall for $436.80 including tax the tax rate is 4%

garri49 [273]

Answer:

The price of the television before taxes is $420

Step-by-step explanation:

* Lets explain how to solve the problem

- The purchased price = cost price + taxes

- A new television set was recently purchased for the common room

in a residence hall for $436.80

- This price including tax

- The tax rate is 4%

- We need to find the price of the television before taxes

* Lets solve the problem

- Assume that the price of the television before tax is 100%

∵ The tax rate is 4%

∵ The price after tax = price before tax + tax

∵ The price before tax = 100%

∴ The price after tax = 100% + 4% = 104%

∵ 104% equivalent to $436.80

∴ 100 ⇒ ?

104 ⇒ 436.80

- By using cross multiplication

∴ ? = $\frac{(436.80)(100)}{104}=420$

∴ The price of the television before taxes is $420

6 0

2 years ago