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EleoNora [17]
2 years ago
14

Please help me i don't know how to do this no more

Mathematics
1 answer:
aalyn [17]2 years ago
5 0

Answer:

z/3 = 3/2 so 2z = 9 z = 4.5 cuz triangles are proportional

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Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a
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Nice??? there is a city called nice? anyways, your answer is 5000. hope this helps :)
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Please solve for me.
blsea [12.9K]

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A function is shown.<br><br> f(x)=−3⋅4x<br> What is the value of x when f(x) = −48?
galben [10]

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576

Step-by-step explanation:

Whenever you are solving these types of problems, you just put the value given in place of x. For this equation you would have done f(48)=-3·4(48)

6 0
3 years ago
A student takes a multiple choice test with 40 questions. The probability that a student answers a given question correctly is 0
LenKa [72]

Answer:

Step-by-step explanation:

X no of questions student answers is binomial with n =40 and p =0.5

If approximated to normal, X is Normal with

mean = np = 20 and variance = npq = 10

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We use std normal distribution table to get z value first then convert to x value

z>-1.28

So x>20-1.28(10) = 20-12.8 = 7.2

This is with continuity correction.

Hence without continuity correction this equals 7.2-0.5 = 6.7

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6 0
3 years ago
(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).
gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative \frac{dy}{dx} at that point. By the chain rule,

\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}

Differentiate the given parametric equations with respect to t :

x = 4t \implies \dfrac{dx}{dt} = 4

y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}

Then

\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}

We have x=8 and y=2 when t=2, so the slope at the given point is \frac{dy}{dx} = -\frac14.

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}

Alternatively, we can eliminate the parameter and express y explicitly in terms of x :

x = 4t \implies t = \dfrac x4 \implies y = \dfrac4t = \dfrac4{\frac x4} = \dfrac{16}x

Then the slope of the tangent line is

\dfrac{dy}{dx} = -\dfrac{16}{x^2}

At x = 8, the slope is again -\frac{16}{64}=-\frac14, so the normal has slope +4, and so on.

5 0
2 years ago
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