2 years ago

A cook needs 3 cups of vegetable stock for a soup recipe. How much is this in pints?

Mathematics

1 answer:

suter [353]2 years ago

3 0

1 1/2 pints of vegetable stock.

One cup of any liquid is equal to one half a pint.

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I am making hamburgers that are 3/4 pounds each. If I have 30 pounds of Hamburg, what fraction of hamburger do I have left.

erma4kov [3.2K]

Answer:

1/4

Step-by-step explanation:

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3 years ago

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Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

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

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

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1 year ago

What is the sample space for a spinner with four equal sections, numbered 1 to 4?

aev [14]

1-1, 1-2, 1-3, 1-4 and u should Change it to middle school

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2 years ago

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-5d + 11 = 8 - 3d<br> -5d + 11 + 3d = 8 - 3d + 3d

rjkz [21]

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2 years ago

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Misha Larkins [42]

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