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IceJOKER [234]
3 years ago
9

How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 3/7

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0
1 over the 3 + 7 x 5 5.6 

multiplyn 1.3

divide 5.6

subtract  0.3

answer is 1/5
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The elevations, in feet, of three cities are marked on the number line shown below.
Zepler [3.9K]
U didnt put a picture ;-;
3 0
3 years ago
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Alicia buys a fish tank. The dimensions of the fish tank are 80 cm x 35cm x 40cm. Alicia fills the tank with water to 4/5 of the
Ira Lisetskai [31]

Answer:   89.6 kg of water

Step-by-step explanation:

Find the total volume of the tank:

(80cm)*(35cm)*(40cm) = 112,000 cm^3

4/5 of this would be 89,600 cm^3

Water has a mass of 1 gram/cm^3

(1 gram/cm^3)*(89,600 cm^3) = 89,600 g of water

(89,600 g)*(1 kg/1,000 g) = 89.6 kg of water

3 0
2 years ago
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
What is the surface area of this rectangular prism that has 9 ft a width of 5 feet and a height of 7.5ft
daser333 [38]
To get your answer:

9 times 5 times two= 90
9 times 7.5 times two= 135
5 times 7.5 times two= 75

then add all of them together and you will get the surface area
90+135+75=300
you should have an answer of 300 feet²
6 0
3 years ago
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Whats the relationship between fractions and decimals?
kogti [31]
They are both equal to below zero
3 0
3 years ago
Read 2 more answers
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