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3 years ago

Kelly plans to take juice on her camping trip. Which will hold more juice, 8 cans or 2 bottles? How much more?

1 answer:

Alex3 years ago

8 0

It depends on how many days you are going to be on your camping trip if you are going to be on the for 2 days you will need the 2 bottles but if you are going on the trip for 8 days you will need the 8 cans. so 8 will work

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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.

4 0

2 years ago

What is the value of the expression when x = 5, y = 4, and z = 3?

Elan Coil [88]

C-75 would be your answer

3 0

3 years ago

Read 2 more answers

If a square block is 17 centimeters on one side.what is the perimeter of the block?

emmasim [6.3K]

If a shape is a square, this mean that each side has the same length. This means that each side of the square has a length of 17cm. Perimeter is the length of the outer boundary of a shape or the summation (addition) of all the sides. This means that the perimeter of this square is 17+17+17+17 or 17×4 which is equal to 68cm.
I hope this helps!

6 0

3 years ago

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Solve for x in the equation x^2+4x-4=8

quester [9]

I will get you started.

x^2+4x-4 = 8

x^2 + 4x - 4 - 8 = 0

x^2 + 4x - 12 = 0

You must now use the quadratic formula.

In the formula, a = 1, b = 4, and c = -12.

Take it from here.

8 0

3 years ago

Sofia, who lives in chicago, knits and sells alpaca-wool scarves. she spends 15 hours knitting one scarf. maria, who also knits,

erma4kov [3.2K]

A producer is said to have an absolute advantage over another producer when he required less amount of input to produce the same good compared to the other producer.

While a producer is said to have a comparative advantage over another producer when he produces his goods at a lesser opportunity cost compared to the other produer.

Here, time is one of the inputs used in production and Maria produces a scarf at a lesser time compared to Sofia. Thus, Maria has an absolute advantage over Maria in the production of scarves.

Therefore, the true statement is "<span>Maria has an absolute advantage over Sofia".</span>

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3 years ago