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3 years ago

How do I tell my mom that really this good

Mathematics

2 answers:

ZanzabumX [31]3 years ago

7 0

That what is good?

Have a good night

irina [24]3 years ago

4 0

Tell her that this app is really educational and helps you do better in school

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Jericho is a botanist and is researching about a particular species of plant. He found that the number of plants in his testing

yarga [219]

Answer:

Step-by-step explanation:

Let initial number of plants =100

Increase I year 60

Number after 1 year 160

Increase IIyear 60% 96

Number after II year 256

Increase in III year 60% 153.6

and so on

In general if t is number of years and N number of plants after n years

the expression would be

$N(t)=N_{0} (1.06)^t$

In other words, the expressions wouldbe the same as amount after t years of compound interest.

7 0

4 years ago

Which of the following series are convergent?

Westkost [7]

Answer:

All of them

Step-by-step explanation:

According to the ratio test, for a series ∑aₙ:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

(I) aₙ = 10 / n!

lim(n→∞) |(10 / (n+1)!) / (10 / n!)|

lim(n→∞) |(10 / (n+1)!) × (n! / 10)|

lim(n→∞) |n! / (n+1)!|

lim(n→∞) |1 / (n+1)|

0 < 1

This series converges.

(II) aₙ = n / 2ⁿ

lim(n→∞) |((n+1) / 2ⁿ⁺¹) / (n / 2ⁿ)|

lim(n→∞) |((n+1) / 2ⁿ⁺¹) × (2ⁿ / n)|

lim(n→∞) |(n+1) / (2n)|

1/2 < 1

This series converges.

(III) aₙ = 1 / (2n)!

lim(n→∞) |(1 / (2(n+1))!) / (1 / (2n)!)|

lim(n→∞) |(1 / (2n+2)!) × (2n)! / 1|

lim(n→∞) |(2n)! / (2n+2)!|

lim(n→∞) |1 / ((2n+2)(2n+1))|

0 < 1

This series converges.

3 0

3 years ago

. Write the slope intercept form of the line through the given point

melamori03 [73]

Y=3 is the correct answer

6 0

3 years ago

Read 2 more answers

How do you solve this?

vagabundo [1.1K]

You would add up all of the sides by combining like terms. Let me know if you want the answers for it.

6 0

3 years ago

A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is

34kurt

Answer:

22.67 ft is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be $x.$

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, $x$ is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

$\frac{68}{54} =\frac{x}{18}$

By cross multiplying we get:

$1224=54x$

Dividing both sides by 54 we get:

$22.67=x$

$x=22.67\ ft.$

Therefore, the height of the tree is 22.67 ft.

6 0

4 years ago