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den301095 [7]
3 years ago
7

How many 4 letter combinations are there for SEATTL? No repetition is allowed? (Is there 11 or 15 combinations?)

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

P=6!÷4!(6-4)!=

6!÷48=

15 possible combinations

Hope this helps!

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Latisha has two pieces of ribbon she plans
Rufina [12.5K]

The greatest possible length of each  piece is 16 inches

<h3><u>Solution:</u></h3>

Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and  the other is 80 inches

Ribbon is to be cut into pieces of equal length

To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80

The greatest common factor, or GCF, is the greatest factor that divides two numbers

<em><u>Steps to find G.C.F of 48 and 80</u></em>

1) Find the prime factorization of 48

48 = 2 \times 2 \times 2 \times 2 \times 3

2) Find the prime factorization of 80

80 = 2 \times 2 \times 2 \times 2 \times 5

3) To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 \times 2 \times 2 \times 2 = 16

So, 16 inches is the greatest possible length to cut so that every piece is of equal length.

8 0
3 years ago
A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?
frutty [35]

Answer:

1,130 cm

Step-by-step explanation:

7 0
3 years ago
Find second derivation for function f(x)=x²-(2/x)​
Vera_Pavlovna [14]

Hi there!

\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}

f(x) = x^2 - \frac{2}{x}

Recall the power rule:

\frac{dy}{dx} x^n = nx^{n-1}

Rewrite the function for ease of differentiation:

f(x) =x^2 - 2x^{-1}

Use the power rule:

f'(x) = 2x + 2x^{-2}

Take the derivative once more:

f''(x) = 2 - 4x^{-3}

Rewrite:

f''(x) = 2 - \frac{4}{x^{3}}

8 0
3 years ago
Piney Woods Conservation is a company that attempts to help offset the effects of deforestation. A local forest contains approxi
larisa [96]

Answer:

15.7 years

Step-by-step explanation:

we know that

The deforestation is a exponential function of the form

y=a(b)^{x}

where

y ----> the number of trees still remaining in the forest

x ----> the number of years

a is the initial value (a=500,000 threes)

b is the base

b=100%-4.7%=95.3%=95.3/100=0.953

substitute

y=500,000(0.953)^{x}

The linear equation of planting threes in the region is equal to

y=15,000x

using a graphing tool

Solve the system of equations

The intersection point is (15.7,235,110)

see the attached figure

therefore

For x=15.7 years

The number of trees they have planted will be equal to the number of trees still remaining in the forest

8 0
3 years ago
Read 2 more answers
Find the volume of the sphere. Use 3.14 for . Round your answer to the nearest thousandth.
brilliants [131]

V= 4/3 • 3.14 • radius to the 3rd power.

If you don't have the radius, you can find it by dividing the diameter by 2.

Hope this helps!

4 0
4 years ago
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