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Answers in Scientific Notation.

Answers

Answer 1

Answer:

one way is to factor the expressions

(a)

$10^(5)$ (1.2 + (5.35 × $10^(1)$ ))

= $10^(5)$ (1.2 + 53.5)

= 54.7 × $10^(5)$ = 5.47 × $10^(1)$ × $10^(5)$ = 5.47 × $10^(6)$

(b)

$10^(-3)$ ((6.91 × $10^(1)$ ) + 2.4)

= $10^(-3)$ (69.1 + 2.4)

= 71.5 × $10^(-3)$ = 7.15 × $10^(1)$ × $10^(-3)$ = 7.15 × $10^(-2)$

(c)

$10^(5)$ ((9.7 × $10^(1)$ ) + 8.3)

= $10^(5)$ (97 + 8.3)

= 105.3 × $10^(5)$ = 1.053 × $10^(2)$ × $10^(5)$ = 1.053 × $10^(7)$

(d)

$10^(1)$ ((3.67 × $10^(1)$ ) - 1.6)

= $10^(1)$ (36.7 - 1.6)

= 35.1 × $10^(1)$ = 3.51 × $10^(1)$ × $10^(1)$ = 3.51 × $10^(2)$

(e)

$10^(-6)$ ((8.41 × $10^(1)$ ) - 7.9)

= $10^(-6)$ (84.1 - 7.9 )

= 76.2 × $10^(-6)$ = 7.62 × $10^(1)$ × $10^(-6)$ = 7.62 × $10^(-5)$

(f)

$10^(4)$ ((1.33 × $10^(1)$ ) - 4.9 )

= $10^(4)$ (13.3 - 4.9) = 8.4 × $10^(4)$

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Is the opposite of an opposite number always going to be positive?

Answers

No, the opposite of an opposite will not always be positive. the opposite of -4 is 4, and the opposite of that is -4, so the opposite of the opposite of the number -4 is -4, which is not positive. On the other hand, it CAN be positive. The opposite of 7 is -7, and opposite of that is 7, which is positive.

yes it is because if you reflect for a min, the opposite (which is a negative) of the opposite is always going to be a positive.

The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

Answers

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation:-

Given data Z is directly proportional to C

⇒ Z ∝ C

⇒ Z = K C

The equation of relating Z and C

Z = K C

Given Z = 20 and C =10

20 = K ( 10)

⇒ K = 2

Someone help me simplify this 3t+12-9=

Answers

it's simple

3t+3

just this

You would subtract 9 from 12 which would give you 3 which would lead you to 3t+3

( 1 0 3) + (4 1 7) The first entry of the resulting matrix is:

Answers

The first entry of the resultant matrix is 5 .

What is a Matrix ?

A matrix is a array of numbers or expressions used in mathematics to solve systems of equations .

The given matrix are 3 x 1 matrix

As they same number of rows and columns so addition can be done.

The resultant matrix is ( 5 1 10 )

The first entry of the resultant matrix is 5 .

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Answer:

It's 5

Step-by-step explanation:

this is because all you really have to do is add 1+4 they just put it this way to be mean lol

A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?

Answers

$648 is the total amount the customer will pay for the 1-year plan

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

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Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?

Answers

The no. of mold cells one hour from now will be 32 $x$ .

Given,

The number of mold cells doubles every 12 minutes.

Let at time $t$ we have x mold cells.

So, after 12minutes, the no of molds at $,t_(12) =t+12$ the no. of mold will be $2x.$

After further 12 minutes at, $t_(24) =t+24$ , the no. of mould will be $4x$ .

After further 12 minutes at, $t_(36) =t+36$ , the no. of mold will be $8x$ .

After further 12 minutes at, $t_(48) =t+48$ , the no. of mold will be $16x.$

After further 12 minutes at, $t_(60) =t+60$ , the no. of mold will be $32x$ .

Hence the no. of mold cells one hour from now will be 32 $x$ .

For more details follow the link:

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Answer:

Step-by-step explanation:

Suppose that at time $t_0$ we have x mold cells. We are told that after 12 minutes the amount present is double. That is a $t= t_0+12$ we have 2x cells. Then, at $t = t_0+24$ we have (2x)*2 = 4x. We can continue as follows

$t: t_0+36$ we have (4x)*2 = 8x.

$t: t_0+48$ we have (8x)*2 = 16x

$t: t_0+60$ (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

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