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Ainat [17]
3 years ago
8

A plane flies with an average velocity of -98.5 m/s for 45.0s. what was it's displacement?

Mathematics
1 answer:
balandron [24]3 years ago
6 0
V-average velocity
V=98.5 m/s
t-time
t=45s
s-displacement
s=?

V=\frac{s}{t}
s=V*t=98.5\frac{m}{s}*45s=4432.5m=4.4325 km
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suppose a weather app says that the probability of rain today is 30%. What is the complement of the event ""rain today"" what is
ValentinkaMS [17]

Answer:

The complement event would be: "No rain today"

Its probability would be 70%

Step-by-step explanation:

Given the event:

A= rain today

The probability of rain today is 30%

P(A)=30%=0.3

The complement event has all the values that are not included in the event.

The complement event would be:

A'= No rain today

The probability of a event is the subtraction between 1 and the complement event:

P(A')=1-P(A)

Then, the probability of the event "No rain today" will be:

P(A')=1-0.3=0.7=70%

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3 years ago
Find 5/6 of 15. Express your answer in simplest form.
brilliants [131]
I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions
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3 years ago
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9
skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let u^2=x^4\\u = x^2

Subbing in:

9u^2-2u-7=0

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63.  We need 2 factors of 63 that will add to give us -2.  The factors of 63 are {1, 63}, (3, 21}, {7, 9}.  It looks like the combination of -9 and +7 will work because -9 + 7 = -2.  Plug in accordingly:

9u^2-9u+7u-7=0

Group together in groups of 2:

(9u^2-9u)+(7u-7)=0

Now factor out what's common within each set of parenthesis:

9u(u-1)+7(u-1)=0

We know this combination "works" because the terms inside the parenthesis are identical.  We can now factor those out and what's left goes together in another set of parenthesis:

(u-1)(9u+7)=0

Remember that u=x^2

so we sub back in and continue to factor.  This was originally a fourth degree polynomial; that means we have 4 solutions.

(x^2-1)(9x^2+7)=0

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis.  Factoring (x^2-1) gives us that x = 1 and -1.  The other set is a bit more tricky.  If

9x^2+7=0 then

9x^2=-7 and

x^2=-\frac{7}{9}

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

x=±\sqrt{-\frac{7}{9} }

which will simplify down to

x=±\frac{\sqrt{7} }{3}i

Those are the 4 solutions to the quartic equation.

5 0
3 years ago
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tekilochka [14]

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son4ous [18]

Answer:

How

Step-by-step explanation:

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