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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer:

$\frac{3}{16}$

Step-by-step explanation:

The common ratio is $\frac{1}{2}$

24, 12, 6, 3, $\frac{3}{2}$ , $\frac{3}{4}$ , $\frac{3}{8}$ , $\frac{3}{16}$

so divide each term by 2

<em>plz mark m brainliest. :)</em>

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Find the value of x.

mamaluj [8]

Answer:

if the sectors bc and ad are the same,x=70°

6 0

3 years ago

Read 2 more answers

Puntuación de una Línea determinada?

taurus [48]

Answer:

score of a certain Line?

Step-by-step explanation:

If you wanted a translation, that's your answer!

5 0

2 years ago

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12

solong [7]

99 km ... 9 liters
x km ... 12 liters

If the relationship is proportional, we have

$\frac{99}{x} = \frac{9}{12}$

from where

$x = \frac{99*12}{9}= \frac{1188}{9}=\bold{132}$

The answer is 132 kilometers.

5 0

2 years ago

A discrete random variable is a variable that is randomly chosen and can take

Colt1911 [192]

Answer:

false

Step-by-step explanation:

4 0

2 years ago