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3 years ago

8x10-^-3 is how many times as great as 4x10^-6

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Hello I’m very confused on what is here

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A bee flies 25 m north of the hive then 10 m east 5 m west and 10 m south. How far north and east of the hive is it now? Explain

mafiozo [28]

Answer:

20 meters north.

Step-by-step explanation:

(I did it on a paper not to lose track.) First we go 25 north. Then ten east. Five south. And 10 west again. So in East/West we didn't move but we moved 5 down/south so we are still at twenty. If you don't understand still draw it on a paper.

5 0

3 years ago

5• (4 • x ) simplified

Olegator [25]

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

$...$

8 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

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

Subtract 1 from both sides

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

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

Multiply both sides by -1

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

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

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

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

What is the unit rate of 6 eggs in 7 days

alexgriva [62]

6 eggs= 7 days

1 egg = x days

7 days _
----------- = 1. 6 days per 1 egg
6 eggs

7 0

3 years ago

Mike is three years older than his wife Karen.

kkurt [141]

Answer:

1. Karen= g^5 (not sure)
2. Mike = g^5 + 3 (not sure)

3. Karen = 25

Mike = 28

4. Karen = 35

Mike = 38

Step-by-step explanation:

1. if george age was g

karen age= g x 5 = g5

2. mike age= gx5 + 3

3. g = 5

karen age= 5 x 5 = 25

mike 25 + 3

4. g = 7

karen = 7x5 = 35

mike = 35 + 3

(i dont know if this correct or not but it my opinion)

8 0

2 years ago