1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
13

One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 290 nautical miles?

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0
The correct answer is 537 km.
Angelina_Jolie [31]3 years ago
4 0
\bf \begin{array}{ccllll}
\textit{nautical miles}&kilometers\\
\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
100&185\\
x&290
\end{array}\implies \cfrac{100}{x}=\cfrac{185}{290}\impliedby \textit{solve for "x"}
You might be interested in
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
4g + 3(-3 + 4g) = 1-g. Solve the equation. Can someone help me ASAP. I'm confused
Olegator [25]
4g+3(-3+4g)=1-g
Distribute the 3(-3+4g)
4g-9+12g=1-g
Add 4g and 12g
16g-9=1-1g
Add 1g and 16g (variables always have an invisible 1 in front)
17g-9=1
Add 9 and 1
17g=10
Divide both sides by 17 and the answer is g=10/17
5 0
3 years ago
6. A two-story building measures 21 feet
Y_Kistochka [10]

Answer:

12

Step-by-step explanation:

First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12

7 0
3 years ago
Jerry wants to buy 4 Michelin tires. Each tire costs $213.99. Calculate his total price if the tax rate is 7.25%.
arlik [135]

Answer:

$918.02

Step-by-step explanation:

As each tire costs $213.99, you will be multiplying that by 4:

$213.99*4 = $855.96

Now you will have to add the tax to the price. You will do the following:

$855.96*.0725 = 62.0571

You will round that to $62.06

$855.96+$62.06

The total would be $918.02

3 0
3 years ago
Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
yawa3891 [41]

Answer:

√7

Step-by-step explanation:

2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.

3 0
2 years ago
Other questions:
  • Identify all pairs of angles of the given type
    12·1 answer
  • how many of the first 80 positive integers can he written as the sum of two distinct powers of 3? for example, 28=27+1=3^3+3^0 c
    10·1 answer
  • Plsssssss helppppppppp
    7·1 answer
  • The equation to convert from degrees Celsius to degrees Fahrenheit is F=1.8C+32, whereas a simpler estimate for this conversion
    10·1 answer
  • Which of the following is a like radical to 3x square root 5?
    10·1 answer
  • The number of students going to the school field trip reduced from 1000 to 950. What is the percent of change? I will help the f
    14·1 answer
  • What is the area of the triangle? ​
    5·2 answers
  • Question is in the photo
    12·1 answer
  • Question:
    10·1 answer
  • Suppose you are given the function (x) = -2x+ 3 and asked for h(4). This is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!