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3 years ago

Compare your prediction with the total number of pennies on Row 1. How would you change your estimate? Is the result surprising?

1 answer:

6 0

<span>Sample Answer: My prediction was less than the actual count. Instead of multiplying the number squares by a guess for the average, estimate the pennies on the last square to help guide the estimate.</span>

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Solve the problem.

choli [55]

Answer:

6 $\frac{3}{100}$

Step-by-step explanation:

$603 dollars ÷ 100 shoppers = $6.03 per shopper, or 6 $\frac{3}{100}$ as a mixed number

4 0

3 years ago

Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0

3 years ago

A school paid $31.25 for each calculator.

Sonja [21]

Answer:

500/31.25=16

Step-by-step explanation:

The school bought 16 calculators

4 0

2 years ago

A recycling center pays 25 cents per aluminum can recycled at its facility. If Tracy recycles 5 aluminum cans there, how many do

USPshnik [31]

If Tracy recycles 5 and each is 25 cents

5 times 0.25 equals 1.25

She would get$1.25 for recycling 5 cans

3 0

3 years ago

1. Three apples, a, and two peaches, p, sell for $1.25.

Simora [160]

Answer:

$0.25

Step-by-step explanation:

You can use systems of equations to solve this.

3a+2p = 1.25

5a+p = 1.5

Multiply the second equation by 2.

3a+2p = 1.25

10a+2p = 3

Subtract the bottom from the top

-7a= -1.75

Divide by -7

a= 0.25

Each apple is $0.25 (in this case, the peach also costs $0.25)

5 0

3 years ago