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4 years ago

Using rounding to estimate the solution to the problem. 538-714 Be sure to give the estimated solution, not the exact solution.

Mathematics

1 answer:

amid [387]4 years ago

5 0

Answer:

1. -370

2. 70

3. 10.75

4. 6700

5. 37.26

Step-by-step explanation:

1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.

2. Same thing as #1

3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.

4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.

5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73

Hope this helped, good luck!

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Monica [59]

Expand f(z) into partial fractions:

$\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)$

Recall that for |z| < 1, we have the power series

$\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n$

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

$\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}$

So the series expansion of f(z) for |z| > 2 is

$\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)$

$\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}$

$\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}$

$\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}$

6 0

2 years ago

Kilani and Adrian are starting a nutrition program. Kilani currently consumes 1200 calories a day and will increase that number

Maurinko [17]

Answer:

7 days

Step-by-step explanation:

Let us represent the number of days = a

Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day.

1200 calories + 100 calories × a

1200 + 100a

Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day.

3230 calories - 190 calories × a

3230 - 190a

The number of days that they would be consuming the same number of calories =

Kilani = Adrian

1200 + 100a = 3230 - 190a

Collect like terms

190a + 100a = 3230 - 1200

290a = 2030

a = 2030/290

a = 7 days

Therefore, the would be consuming the same number of calories in 7 days

4 0

4 years ago

HELP PLEASE!

Svet_ta [14]

Hello! I believe the answer to your question is C (hours). If t is the amount of time it takes, hours is a unit of time, therefore I assume that would be your answer. :)

7 0

4 years ago

Solve. 7x − 2 = −23 x =

Zielflug [23.3K]

7x-2=-23 add 2 to both sides to get 7x by itself
7x=-23+2 now add the right side
7x=-21 now divide both sides by 7
x=-21/7
x=-3

7 0

4 years ago

Read 2 more answers

The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you w

vova2212 [387]

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles

7 0

4 years ago