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3 years ago

1. Which expression calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s?

Mathematics

2 answers:

sveta [45]3 years ago

6 0

1. 100 * 20
2. 7 hours
3. 141 kilometers
4. 8.5 hours
5. 55.75 mi/h

HACTEHA [7]3 years ago

5 0

Answer:

1. 100/20

2. 7 h

3. 141 km

4. 8.5 hours

5. 56 mi/h

Step-by-step explanation:

(dimensions are omitted)

1. speed = distance/time

speed = 100/20

2. time = distance/speed

time = 315/45 = 7 h

3. distance = speed*time

distance = 35.25 * 4 = 141 km

4. time = distance/speed

to the lake: time = 216/48 = 4.5 h

from the lake: time = 216/54 = 4 h

total time: 4.5 + 4 = 8.5 h

5. speed = distance/time

first trip: speed = 203/3.5 = 58 mi/h

second trip: speed = 243/4.5 = 54 mi/h

average speed = (58 + 54)/2 = 56 mi/h

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3 years ago

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

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3 years ago

Which must be true I NEED HELP

tatyana61 [14]

Answer:

I beileve it's C.

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3 years ago

Find the equation of the line perpendicular to the line x=9 that passes through the point (9,-1)

tia_tia [17]

Answer:

y = -1

Step-by-step explanation:

Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.

Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:

y = -1

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3 years ago

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Factor the GCF: 30a3b4 + 20a2b2 - 15ab3. Please help

Blizzard [7]

Answer:

The GCF for the variable part is ab².

GCFVariable=ab²

Multiply the GCF of the numerical part 5 and the GCF of the variable part ab².

5ab²

Step-by-step explanation:

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3 years ago