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slamgirl [31]
3 years ago
6

This my lil sis work help her

Mathematics
2 answers:
Sholpan [36]3 years ago
6 0

Answer:

Option D is your answer

zepelin [54]3 years ago
5 0

answer:

d

step-by-step explanation:

here i will show you how to convert the improper fraction 18/15 to a mixed number (aka mixed fraction). we start by setting up the fraction below.

\frac{18}{15}

step 1 - find the whole number

calculate out how many times the denominator goes into the numerator. to do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

step 2 - find the new numerator

multiply the answer from step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

step 3 - put it together

keep the original denominator and use the answers from step 1 and step 2 to get this:

 

1 \frac{3}{15}

good luck :)

i hope this helps

have a nice day !

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3 years ago
a forest ranger in a 140-foot observation tower sees a fire moving in a direct path toward a lake. the angle of depression to th
Setler79 [48]

Answer:

1675 ft

Step-by-step explanation:

For us to calculate how close the windmill is to the fire, if we imagine it as a triangle, the distance from watch tower to the fire will be:

tan θ= opposite/adjacent

opposite=140 ft

adjacent = x

θ=3°

Thus;

tan 3 = 140/x

x=140/tan 3

x = 2,671.359 ft

Now, the distance from watch tower to windmill will be:

tan θ=opposite/ adjacent

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opposite=140 ft

adjacent=y

thus

tan 8 = 140/y

y = 140/tan8

y=996.15 ft

Now, the distance between fire and wind mill will be:

x - y = 2671.359 - 996.15

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6 0
4 years ago
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gtnhenbr [62]

answer is attached below


4 0
3 years ago
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mojhsa [17]

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

f(x)=8x-5\text{ and } g(x)=9-2x

And we want to find:

(f\circ g)(x)\text{ and } (g\circ f)(x)

1)

Recall that:

(f\circ g)(x)

is the same as:

=f(g(x))

Thus, we can substitute g(x):

=f(9-2x)

And substitute that into f(x):

f(x)=8x-5\\f(9-2x)=8(9-2x)-5

Distribute:

=72-16x-5

Subtract and simplify:

=67-16x\\=-16x+67

Thus:

(f\circ g)(x)=-16x+67

2)

Similarly:

(g\circ f)(x)=g(f(x))

Substitute f(x):

g(f(x))=g(8x-5)

Substitute:

g(8x-5)=9-2(8x-5)

Distribute:

=9-16x+10

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=-16x+19

Therefore:

(g\circ f)(x)=-16x+19

4 0
4 years ago
Find the inverse laplace transform of: (2 s + 4) / (s - 3)^3
Serhud [2]

Answer:

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Step-by-step explanation:

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Translation theorem:L^{1} [F(s-a)=L^{-1}[F(s)|_{s \to s-a}\\ L^{1} [F(s-a)=e^{at} f(t)

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Separate the fraction in a sum:

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The formula for this is:

L^{-1}[\frac{n!}{s^{n+1}} ]=t^{n}

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Solve

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