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katen-ka-za [31]
4 years ago
6

6x-5y=90 What is the x-intercept and y-intercept?

Mathematics
1 answer:
lawyer [7]4 years ago
7 0
In order to get the x-intercept you need to get the x term alone on one side of the equation and likewise with y.
6x-5y=906x=5y+90
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An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (
romanna [79]

Answer:

The correct option is;

17,202 feet

Step-by-step explanation:

The distance from the observer to the bird is given as 21,000 ft

The angle between the line of flight of the bird to the horizontal line from its nest = 35°

With the triangle BNO = A right triangle, we have;

The distance of the bird from its nest = Adjacent leg of the right triangle

The distance of the observer from the bird = Hypotenuse length

Which by trigonometric relations gives;

cos(35 ^{\circ} )= \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = \dfrac{Distance\ of  \ bird \ from \ its \ nest}{21,000}

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.

6 0
4 years ago
Simplify (2^3)^-2<br><br> A. -1/64<br><br> B. 1/64<br><br> C. 2<br><br> D. 64
shepuryov [24]

Answer:

B, 1/64

Step-by-step explanation:

2^{3} = 8

8^{-2} = \frac{1}{8^2} = \frac{1}{64}

4 0
4 years ago
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3 years ago
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Suppose you can afford only $200 a month in car payments and your best loan option is a 60-month loan at 3%. How much money coul
g100num [7]

Answer:

  $11,130.47

Step-by-step explanation:

The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

Filling in your values, we get ...

  200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)

  P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577

  P ≈ 11,130.47

The present value of the loan is $11,130.47.

8 0
4 years ago
An automated phone system can answer three calls in a five-minute period. Assume that calls occur at an average rate of 1.2 ever
saul85 [17]

Answer:

The probability that no calls will occur during the next ten minutes is 0.0907.

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the number of events is likely occur in a specific time period.

P(X=x)=\frac{e^{-\lambda t}(\lambda t)^x}{x!}

Given that,

Calls occur at an average rate of 1.2 every 5 minutes.

The average rate of call is \frac{1.2}{5}=0.24 per minute.

Here,

\lambda =0.24, t=10 and x=0

\therefore P(X=0)=\frac{e^{-0.24\times 10}(0.24\times 10)^0}{0!}

                  =0.0907

The probability that no calls will occur during the next ten minutes is 0.0907.

4 0
3 years ago
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