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3 years ago

What 2-dimensional shape would be formed by a perpendicular cross section of a soda can

Mathematics

1 answer:

Stella [2.4K]3 years ago

3 0

Answer:

Rectangle

Step-by-step explanation:

We know that soda can is made in the cylinder shape when we cut a soda can in perpendicular cross section we get a 2D shape of Rectangle.

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

5 0

3 years ago

Gina’s kitten weighs 5 ounces. Of the kitten gains 3 ounces every week, how many ounces will the kitten weigh in 6 weeks?

Alenkasestr [34]

Answer:

23 ounces

Step-by-step explanation:

3x6=18 +5 = 23

8 0

4 years ago

Read 2 more answers

Determine if the two figures are congruent and explain your answer.

Alexus [3.1K]

Answer:

They can be congurent depending on which two figures you are using

Step-by-step explanation:

3 0

3 years ago

What is the common ratio for 2,6,18

Dmitrij [34]

Answer:

Step-by-step explanation:

r=6/2=3

6 0

4 years ago

Ellie is an African elephant. When she was born, she weighed about 200 pounds. As an adult, she weighs 7 tons! How many pounds d

wariber [46]

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

5 0

3 years ago