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vazorg [7]
2 years ago
10

GAMING In a video game, the user navigates a character across an unknown land using a map. On the map, the distance between the

character’s home and the store is 2 centimeters, the distance between the health food store and the dungeon is 8 centimeters, and the distance between the first dungeon and the character’s home is 7 centimeters. If the actual distance between the store and the dungeon is 4 kilometers, how far will the character have to travel in the game to visit all three destinations and return to their starting point?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
6 0

The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

<h3>How to calculate the actual distance</h3>

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

Total =2cm + 8cm + 7cm

Total =17cm

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

B' =4km

So, we have:

Scale = B : B'

Scale = 8cm : 4km'

Represent the required actual distance with x.

So, we have:

17cm : x = 8cm : 4km

Express as fraction

\frac{x}{17} = \frac 48

Multiply both sides by 17

x = \frac 48 * 17

x = 8.5

Hence, the actual distance travelled is 8.5 km

Read more about scale drawing at:

brainly.com/question/24579126

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D. Evaluate each of the following. (5 points)
Harrizon [31]

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

============================================

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer:  5/2

============================================

Problem 3

(f o f o f)(1) = f(  f(f(1)) )

(f o f o f)(1) = f(  (f o f)(1) )

(f o f o f)(1) = f(  5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f(   f(f(f(1))   )

(f o f o f o f)(1) = f(   (f o f o f)(1)    )

(f o f o f o f)(1) = f(   29/10   )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f(   f(f(f(f(1))))   )

(f o f o f o f o f)(1) = f(   (f o f o f o f)(1)  )

(f o f o f o f o f)(1) = f(   941/290  )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

4 0
3 years ago
Read 2 more answers
The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is
Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = average gestation period = 270 days

            \sigma = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X \leq 261)

         P(X < 279) = P( \frac{ X - \mu}{\sigma} < \frac{279-270}{9} ) = P(Z < 1) = 0.84134

         P(X \leq 261) = P( \frac{ X - \mu}{\sigma} \leq \frac{261-270}{9} ) = P(Z \leq -1) = 1 - P(Z < 1)

                                                           = 1 - 0.84134 = 0.15866

<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

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3 years ago
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yello
Ostrovityanka [42]

Answer: 0.2

Step-by-step explanation:

Since the probability that the disk chosen is 5/25, thus can be written in decimal as 0.2.

This means that in a bag of 15 colored plastics discs with different colors, the probability of picking a yellow colored disk is 0.2.

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Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

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3 years ago
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alukav5142 [94]

The slope of the linear function shown is of -1/3.

<h3>What is a linear function?</h3>

A linear function, in slope-intercept formula, is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.

In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:

m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.

More can be learned about linear functions at

brainly.com/question/24808124

#SPJ1

8 0
1 year ago
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