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kogti [31]
3 years ago
13

I need some help on this please and thank you

Mathematics
1 answer:
shusha [124]3 years ago
6 0
It would be 3/14 , since there are 14 marbles in all, and 3 of them are pink. the simplified fraction is 0.2%
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Tyler measured the floor of his storage unit, which is rectangular. It is 8 feet wide and 17 feet from one corner to the opposit
soldier1979 [14.2K]

Answer:

17 ft

Step-by-step explanation:

Use pythagorean theorem:

{a}^{2} + {b}^{2} = {c}^{2}

The rectangular storage unit is split into 2 right triangles since it is 17 feet diagonally. So, 17 feet is the hypotenuse of the right triangle.

{8}^{2}  +  {x}^{2}  ={17}^{2}

Once you solve everything you will find that x^2 = 225, so x = 15 ft. That is the length of the storage unit.

7 0
3 years ago
Look at the picture as I can’t type the whole thing
bija089 [108]

Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

8 0
2 years ago
Simplify (7x)*exponent 2*
leva [86]
(7x)^2 simplified is 49x^2 or 49 and x raised to the second power, since 7•7 is 49, and we dont know the value of x, your answer is 49x^2
7 0
3 years ago
Read 2 more answers
A taxi travels 25 kilometers east of an airport. Then it travels from that point to a point that is 40 kilometers west of the ai
kati45 [8]
25km east + 25km return+  40km west + 40km return = 130km

Hope that helped :)
7 0
3 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
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