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3 years ago

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A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half an hour later an intercepto

r plane flying with a speed of 800 mi/h is dispatched. How long will it take the interceptor plane to meet with the other plane?

1 answer:

wlad13 [49]3 years ago

7 0

You can solve multiplying

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How dose 3^x=10 and x^3=10 differ

slega [8]

3^x is raising 3 to an unknown number or variable, while x^3 is raising a variable to 3 (x*x*x)

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3 years ago

In Exercise, find the derivative of the function.<br> y = ln(3 + x2)

erastovalidia [21]

Answer: $\dfrac{2x}{3 + x^2}$

Step-by-step explanation:

We know the property of derivative: $\dfrac{d}{dx}(\log (x))=\dfrac{1}{x}$

Given function : $y=\ln(3 + x^2)$

Differentiate both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(\ln(3 + x^2))$

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot\dfrac{d}{dx}(3 + x^2)$ [By Chain rule]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot(0+2x)$

[Since $\dfrac{d}{dx}(a)=0$ , where a is scalar and $\dfrac{d}{dx}(x^n)=n(x)^{n-1}$ ]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{2x}{3 + x^2}$

Hence, the derivative of the given function is $\dfrac{2x}{3 + x^2}$ .

5 0

3 years ago

FIRST TO ANSWER GET BRAINLEST <br> Solve for x. 2/3(x−7)=−2 Enter your answer in the box. x =

Alex_Xolod [135]

2/3(x−7)=−2

2(x - 7) = (-2) * (3)

2x - 14 = - 6

2x = 8

x = 4

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3 years ago

6x - 2y = 26<br><br> 2x + 3y = 5

labwork [276]

Answer:

x = 4, y=-1

Step-by-step explanation:

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3 years ago

Read 2 more answers

The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the h

dangina [55]

Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.

7 0

4 years ago