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grandymaker [24]

3 years ago

7

It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he es

timates that 30 seconds is added to his travel time. On Tuesday, Mr. Martin spends 14 minutes driving his route.

1 answer:

andreev551 [17]3 years ago

4 0

The equal it some help it by ethan and martin in 17 kilometer car

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Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

<u>Step(i)</u>:-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

<u><em>Step(ii):</em></u>-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

<u><em>Step(iii):</em></u>-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

<u><em>Final answer</em></u>:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

2 years ago

Finn had earned 100 points so far this year in math class. After the

Tju [1.3M]

Answer:

52%

Step-by-step explanation:

3 0

2 years ago

PLEASE I NEED TO TURN THIS IN TOMORROW I NEED HELP PLEASE HELP ME

mart [117]

Answer: $\sum_{n=1}^{5}4^n=1364$

Step-by-step explanation:

Since we have given that

$\sum_{n=1}^{5}4^n$

Now, we know the rule for summation , we'll apply this ,

$\sum_{n=1}^{5}4^n\\=4^1+4^2+4^3+4^4+4^5\\$

Now, it becomes geometric progression, so we us the formula for sum of terms in g.p. which is given by

$S_n=\frac{a(r^n-1)}{r-1}\\\\\text{where 'a' is the first term and 'r' is the common ratio}$

So, our equation becomes ,

$a=4 \\\\r=\frac{a_2}{a_1}=\frac{4^2}{4}=4\\\\S_5=\frac{4(4^5-1)}{4-1}\\\\S_5=1364$

Hence ,

$\sum_{n=1}^{5}4^n=1364$

7 0

3 years ago

Read 2 more answers

Help me please again lol :> here's a picture

Delvig [45]

Answer:

It's Same perimeter only

Step-by-step explanation:

It can't be the other two because they don't share the same area

4 0

2 years ago

Read 2 more answers

What is 94 times 100

meriva

<h2>ANSWER:</h2>

<u><em></em></u>

<u><em>9400</em></u>

<h2>Step-by-step explanation:</h2><h3><u><em></em></u></h3><h3><u><em>Take 94 x 100 and get = 9400</em></u></h3><h2><u><em /></u></h2>

<u><em>Thank you for asking this great question need any other help please let me know by commenting below I'd be glad to help.</em></u>

<u><em /></u>

<u><em> I'd also greatly appreciate you if you mark me as brainliest and click that thanks button.( optional )</em></u>

<u><em /></u>

<u><em>Your brainly friend ( lauralit1 )</em></u>

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3 0

3 years ago

Read 2 more answers