the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour? a. about 2.91 hours b. about 160.00 c. 22.00 hours d. about 5.50 hours

Answers

Answer 1

Answer: Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)

d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)

Answer 2

Answer:

The time it would take to drive the same distance at 55 miles per hour is 2.91 hours.

What is the time needed to drive the same distance?

If time varies inversely with speed, as time increases, speed decreases. This means that the faster one travels, the lower the time it would take to reach the destination.

The equation that can be used to represent inverse relation is:

t = k / r

Where k is the constant of proportionality

4 = k/40

k = 160

160 / 55 = 2.91 hours

To learn more about inverse proportion, please check: brainly.com/question/25748643

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Answers

$\lim_(x\to\infty)\frac{\sqrt x}{\sqrt{x+√(x+\sqrt x)}}=\n\lim_(x\to\infty)\frac{(\sqrt x)/(\sqrt x)}{\frac{\sqrt{x+√(x+\sqrt x)}}{\sqrt x}}=\n\lim_(x\to\infty)\frac{1}{\sqrt{(x+√(x+\sqrt x))/(x)}}=\n\lim_(x\to\infty)\frac{1}{\sqrt{1+(√(x+\sqrt x))/(x)}}=\n\lim_(x\to\infty)\frac{1}{\sqrt{1+(√(x+\sqrt x))/(√(x^2))}}=\n$
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Make it 0 on one side

x2 - 2x + = 4(x2-2x +1)-3

Answers

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

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Solutions for 12 – x2 = 0?

Answers

Answer: x = ± 2 √3 ; or, write as: x = ± 3.464 .
__________________________________________________
Given: 12 – x² = 0 ;

Multiply BOTH side by "-1" ;
__________________________________________________
-1 (12 – x² = 0) ;

to get:

-12 + x² = 0 ;

Rewrite as:

x² - 12 = 0 ;

Add "12" to both sides; to get:

x² = 12

Take the square root of each side:

√(x²) = ±√(12)

x = ± √(12)
_________________________________________________
√(12) = √(4) * √(3) = 2 √(3)

√(12) = 3.4641016151377546 ; round to: 3.464 .
____________________________________________________
x = ± √(12) ;
____________________________________________________
x = ± 2 √3 ; or, write as: x = ± 3.464 .
____________________________________________________

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

I got it right

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