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Yuki888 [10]
3 years ago
12

In how many different ways can the

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0
My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.

The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.

The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.

But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.

Multiply everything together to get 8*5040*24=967680
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Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i
natita [175]

<em>Answer:</em>

<em>There would be 173,535 lionfish after 6 years.</em>

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

<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>

<em></em>

<em>A)</em>

<em>8000 x 1.67 ^ n = f  </em>

<em>B)</em>

<em>8000 x 1.67 ^ 6 = X</em>

<em>8000 x 21.691961596369 = X</em>

<em>173,535.692770952 = X  </em>

<em>C)</em>

<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>

<em>Therefore, there would be 173,535 lionfish after 6 years.</em>

5 0
2 years ago
Billy-Bob has a piggy-bank filled with nickels and quarters totaling $11.90.
Lunna [17]

Answer:

x = 33

y = 41

Step-by-step explanation:

GIven

x: number of nickels

y: number of quarters

A nickel = $0.05

A quarter = $0.25

then we have the system of equations

0.05*x + 0.25*y = 11.90

x + y = 74

Which can be solved applying any of known methods. Then, the solution is

x = 33

y = 41

hope this was helpful.

4 0
3 years ago
A sphere has a volume of V=900 in cubed. What is the surface area?
ycow [4]
First, we must solve for the radius of the sphere:
V=\frac{4}{3}\pir^{3}
r=(3\frac{V}{4 \pi })^{ \frac{1}{3} }
r=(3*\frac{900}{4 \pi })^{ \frac{1}{3} }
r≈5.99

Second, we must solve for surface area:
A=4\pir^{2}
A=4*\pi*5.99^{2}
A≈450.88 in^{2}
4 0
3 years ago
Please, someone, help me ASAP
ryzh [129]
1.) Beachy-Keen
2.) shorething
3.) shorething
4.) Beachy-Keen
5.) shorething

let me know if you think any of these are incorrect hope it helps
4 0
3 years ago
Question 2 (5 points)
Anuta_ua [19.1K]

Answer:

The greatest common factor is 8xyz

Step-by-step explanation:

To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.

Numbers:

48, 24 and 56.

We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So

48 - 24 - 56|2

24 - 12 - 28|2

12 - 6 - 14|2

6 - 3 - 7|

They cant be factored by the same factors anymore, so the numeric GCF is 8.

Variables:

For each variable, the GCF will be the lowest exponent.

Variable x: We have exponents 1, 2 and 2. So the GCF is x^1 = x

Variable y: We have exponents 3, 3 and 1. So the GCF is y^1 = y

Variable z: We have exponents 1, 1 and 1. So the GCF is z^1 = z

The greatest common factor is:

8*x*y*z = 8xyz

4 0
3 years ago
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