All categories

2 years ago

How are positive numbers written in Roman

1 answer:

5 0

The system of Roman numerals is based on using special symbols to denote decimal digits I=1, X=10, C=100, M=1000, and their halves V=5, L=50, D=500. Positive integers are written by repeating these numerals.

Brainliest?

You might be interested in

Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of

3241004551 [841]

Answer:

Step-by-step explanation:

Given that:

$\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}$

since cos (kπ) = $-1^k$

Then, the series can be expressed as:

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}$

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its $(n+1)^{th$ term.

∴

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}$

$\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}$

$= \dfrac{4}{64+2}$

$=\dfrac{2}{33}$

5 0

2 years ago

Find x, y and ab and how to check if the answer is right

iris [78.8K]

Answer:

x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

AX = XB

AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

24x +40 -3y +21 -22x = 5x +y +23 -4x +48

2x -3y +61 = x +y +71 . . . . . . we can use this simplification

x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

2x -3y +61 +x +y +71 = 2x -5y +128

3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

x -4y = 10
x +3y = -4

Subtracting the second from the first, we get

-7y = 14

y = -2

Substituting into the first of these simplified equations, we get

x -4(-2) = 10 . . . . substitute for y

x +8 = 10 . . . . . . .evaluate

x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0

3 years ago

Sonya wants to sew ribbon along each side of a square pillow.

Eduardwww [97]

We are given area of the ribbon = 144 square inches.

We know formula for side of a square = $\sqrt{Area \ of \ a \ square }$ .

Plugging value of area in the formula, we get

Side of the square $= \sqrt{144}$

= 12 inches.

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

<h3>Perimeter = 4 × side = 4 × 12 = 48 inches.</h3><h3>Therefore, she buy 48 inches of ribbon to have the exact amount that she needs.</h3>

5 0

3 years ago

layla earned $42.00 babysitting in two days. She worked 2.25 hours yesterday and 3.25 hours today. If layla was paid the same am

algol [13]

Well if she earned the same amount per hour the hours can be added. 2.25 + 3.25 = 5.5 hours. To get the rate of earning per hour you would then divide the total made by the total time worked. 42/5.5 = $7.64 approximately.

7 0

3 years ago

kiruha [24]

Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

6 0

3 years ago