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Ad libitum [116K]
3 years ago
15

The Cutty Sark is a famous clipper ship (look it up)! A Cutty Sark model kit advertises a scale ratio of 1: 78, a length of 45 i

nches, and a height of 26 inches.
A. How long was the Cutty Sark, according to this model kit?
B. How tall was the Cutty Sark, according to this model kit?
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer: If the ratio is 1:78, a) the Cutty Sark is 3510 inches long or 292.5 ft; b) the Cutty Sark is 2028 inches tall or 169 ft according to this model

Step-by-step explanation: The ratio indicates that for every inch of the model, it corresponds to 78 inches of the actual size. If the length is 45 inches for the model, it would be an equivalent of 45*78 of the actual size = 3510 inches. The same can be applied to the height. Multiplying 26 x 78, the actual size should have a height of 2028 inches.

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The best fit line is given by the equation y = 0.404x - 5.18, where y represents the height of the plant above ground level, and
IRISSAK [1]

Step-by-step explanation:

<u>The line of best fit given:</u>

  • y = 0.404x - 5.18

<u>It is given in the slope-intercept form:</u>

  • y = mx + b, where m- slope, b - y-intercept

The slope is this situation is m = 0.404 cm and it represents the average growth rate of the plant in one day.

It seems reasonable but without means of control it is difficult to trace the growth while still under the ground, during the first 13-14 days.

4 0
2 years ago
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func
djyliett [7]

Answer:

y=120 * 1.1^x --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

x \to months

y \to mice

So, we have:

(x_1,y_1) = (0,120) --- Monday

(x_2,y_2) = (1,132) --- One month later

Required

The function

The function is represented as:

y=ab^x

In (x_1,y_1) = (0,120), we have:

120 = a * b^0

120 = a * 1

120 = a

a=120

In (x_2,y_2) = (1,132), we have:

132 = a * b^1

132 = a * b

Substitute: a=120

132 = 120 * b

Solve for b

b = \frac{132}{120}

b = 1.1

So, the function is:

y=ab^x

y=120 * 1.1^x

To calculate the monthly rate (r), we have:

y =a(1 + r)^x

Compare to: y =ab^x

1 + r = b

Make r the subject

r = b-1

Substitute b = 1.1

r = 1.1-1

r = 0.1

Express as percentage

r = 0.1*100\%

r = 10\%

5 0
3 years ago
Q2. In a school, 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage
Sphinxa [80]

<em>Answer:</em>

<em>38%</em>

<em>Step-by-step explanation:</em>

<em>60 percent girls</em>

<em>50 percent of girls walk</em>

<em>50 percent take the bus</em>

<em></em>

<em>40 percent boys</em>

<em>20 percent walk</em>

<em>80 percent take the bus</em>

<em></em>

<em>If there are 100 people in the school</em>

<em>60 girls</em>

<em>30 girls take the bus</em>

<em></em>

<em>40 boys</em>

<em>8 boys walk</em>

<em></em>

<em>8+30=38</em>

<em>38% of the people walk to school</em>

8 0
3 years ago
What is shift y = 5x 3 units up.
alukav5142 [94]
Y=5x+3. because your y axis is moved
8 0
3 years ago
In the figure alongside, show that<br>ZX + Zz = 180°, without the actual<br>measurement,​
valkas [14]

Answer:

1. {xx < 13} 3. {yy < 5} 5. {tt > -42} 7. {dd ≤ 4}

9. {kk ≥ -3} 11. {zz < -2} 13. {mm < 29}

15. {bb ≥ -16} 17. {zz > -2} 19. {bb ≤ 10}

21. {qq ≥ 2} 23. ⎧

⎨

⎩

ww ≥ - _7

3

⎫

⎬

⎭

Lesson 0-7

1. {(−15, 4), (−18, −8), (−16.5, −2),

Step-by-step explanation:

ZX + Zz = 180°, without the actual

measu

5 0
3 years ago
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