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3 years ago

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In 2009, Simon took a cruise on a cruise ship that had a length of 361.6 meters. On his trip, he learned that this cruise ship w

as the longest passenger ship at the time. After his cruise, he learned that the world's longest ship was an oil tanker named the Seawise Giant. It had a length of 458.46 meters.
Based on this information, Simon found that the Seawise Giant oil tanker measured
meters longer than the cruise ship. He also found that if the ships were placed end-to-end, the two ships would measure
meters.
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1 answer:

alisha [4.7K]3 years ago

7 0

The oil tanker is 96.86 meters longer than the cruise ship. and both of them put together is 820.6 meters long

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Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h. She writes the expre

gtnhenbr [62]

Answer: The meaning of each term of the Madison’s and Tyler’s expressions is mentioned below.

Step-by-step explanation:

Since, when Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h.

That is, after 1 hour total number of amoebas = 3×1000 = $3^1\times 1000$

After 2 hour, total number of amoebas = 3×3000= $3^2\times 100$

After 3 hour, total number of amoebas = 3×9000= $3^3\times 1000$

similarly, after h hours, total number of amoebas,

f(h) = $3^h\times 1000$

where, 1000 is the initial population of amoeba 3 is the growth factor of population and f(h) is the population of amoeba after h hours.

Since, when Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours.

That is, after 1 hour total number of amoebas = $(1+0.3)^1$

After 2 hour, total number of amoebas = $(1+0.3)^2$

After 3 hour, total number of amoebas = $(1+0.3)^3$

Similarly, after h hours, total number of amoebas,

f(h) = $(1+0.3)^h$

Where, 1 is the initial population of amoeba, 0.3 is the growth rate and 1.3 is the growth factor.

5 0

3 years ago

Read 2 more answers

What is <br> the ratio equal for 90:18

Ann [662]

To find the ratio between 2 numbers, you need to find the GCF of those 2 numbers. If the GCF is the ratio, the ratio is in it's simplest form.
GCF of 90 and 18 is 18
divide both numbers by the GCF and the final simplest ratio is 5:1

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3 years ago

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

3 years ago

Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

3 years ago

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Please could someone help me ?

Juliette [100K]

Answer:

50% of 1/3: 1/2 x 1/3 = 1/6

75% of 1/2: 3/4 x 1/2 = 3/8

Step-by-step explanation:

50% = 1/2

50% of 1/3: 1/2 x 1/3 = 1/6

75% of 1/2: 3/4 x 1/2 = 3/8

6 0

3 years ago