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3 years ago

A dollar bill is 15.5 cm long and 6.5 cm wide. What is the area of a dollar bill?

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

I believe the answer is 100.75cm

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Please work out and explain

Mekhanik [1.2K]

Answer:

a = 22

b = 31

c = 13

Step-by-step explanation:

The sum is the same in each row, column, and diagonal.

One of the diagonals is already complete. The sum is:

16 + 25 + 34 = 75

So the first row adds up to 75:

a + 37 + 16 = 75

a = 22

The second row adds up to 75:

19 + 25 + b = 75

b = 31

And the third row adds up to 75:

34 + c + 28 = 75

c = 13

We can check our answer by finding the sum of each column and the other diagonal.

22 + 19 + 34 = 75

37 + 25 + 13 = 75

16 + 31 + 28 = 75

22 + 25 + 28 = 75

3 0

3 years ago

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1998 his card was wo

Sergio039 [100]

Y=2.05(X)+8.59
Yes because the value of y (value of card) changes as (x) amount of years pass by.
In 2009, the card is worth $31.14

6 0

2 years ago

Please help i don’t understand

choli [55]

Is that everything for the problem??

||-//

6 0

2 years ago

Esteban paid $134.10 for 4½ sheets of plywood at the local home improvement store. What does one sheet of plywood cost? A. $28.9

Yakvenalex [24]

Answer:$29.80

Step-by-step explanation:Esteban paid $134.10 for 4½ sheets of plywood at the local home improvement store. What does one sheet of plywood cost? A. $33.53 B. $28.90 C. $29.80 D. $29.78

Esteban paid $134.10 for 4½ sheets of plywood at the local home improvement store. One sheet of plywood costs 134.10/4.5 = $29.80.

5 0

2 years ago