( 7 x 10 ^-5) x (5 x 10 ^-8)

Answers

Answer 1

[tex]\huge{\colorbox{pink}{Solution}}[/tex]

Step 1 : Equation at the end of step 1

(((7•(x^10 ))-5)•x)•(5x^10-8)

Step 2 : Equation at the end of step 2 :

((7x^10 - 5) • x) • (5x^10 - 8)

Step 3 :

Trying to factor as a Difference of Squares:

3.1 Factoring: 7x^10-5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

[tex] \: \: \: \: \: \blue {A² - B²}[/tex]

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 7 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares.

Equation at the end of step 3 :

x • (7x10 - 5) • (5x10 - 8)

Step 4 :

4.1 Factoring: 5x^10-8

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares.

Final result : ☞ x • (7x10 - 5) • (5x10 - 8)

→ 3.5 × 10^-12

____________________________

Hope It Helps You ✌️


Related Questions

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  D. 72 heads in 100 flips

Step-by-step explanation:

A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...

  A: 0.0625

  B: 0.04395

  C: 0.15498

  D: 3.9×10^-6

__

It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.

Simply this rational expression.
URGENT! PICTURE INCLUDED

Answers

Answer:

35n/17r

Step-by-step explanation:

Water is flowing into a tank at a rate of 20 cm3/min. At the start, there is 250 cm3 of water in the tank.
(i) How much water will be in the tank after 30 minutes?
(ii) Find the time when there is 1210 cm3 of water in the tank.

Answers

Answer:

i) 410 cm³

ii) 48 min

Step-by-step explanation:

we start with 250 cm³.

and then we fill in 20 cm³ per minute.

i)

after 30 minutes we have

250 + 8×20 = 250 + 160 = 410 cm³

ii)

how long (how many minutes) does it take to reach 1210 cm³ in the tank ?

well, first we subtract the start amount (250).

and then we see how often 20 cm³ will "fit" into the remainder. and then we know how many minutes the water has to run.

1210 - 250 = 960 cm³

so, the incoming water needs to reach 960 cm³ to have a total of 1210 cm³.

and

960 cm³ / (20 cm³ / min) = 960 cm³ min / 20 cm³ =

= 960 min / 20 = 48 min

The Demand function for a product is given by:

D(q) = - 0.0003q^2 - 0.04q + 23.56

where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?

Answers

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]

What is the average rate of change of Demand between 40 and 175 units sold?

[tex]a = 40, b = 175[/tex]. So

[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]

[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]

So

[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Please help brainliest will be given

Complete the equation describing how
x and y are related.
x
-1
5
0 1 2 3 4
3 8
V 2
13
18
23
28
y = 5x + [?]
Enter the answer that belongs in [?].

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

When x = 0 y = 3 so the y-intercept will be 3

And the equation is y = 5x + 3 where the slope is 5

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to

Answers

Answer:

The answer is "(4.518, 5.182)"

Step-by-step explanation:

[tex]\sigma = 0.74[/tex]

The aveage porosity for a sample of [tex]n = 19[/tex] specimens is

[tex]\bar{x}=4.85[/tex]

Thus, the[tex]95\%[/tex] confidence interval for the true mean is

[tex]=\bar{x}\pm Z_{\frac{0.05}{2}} \frac{\sigma}{\sqrt{n}}\\\\=4.85\pm 1.96 \frac{0.74}{\sqrt{19}}\\\\=4.85\pm 0.332\\\\=(4.518, 5.182)[/tex]

Therefore, one can state that the true average porosity will lie  between 4.518 and 5.182 with the 95\% confidence.

What is the volume of a pyramid below?



600 cm^3

750 cm^3

900 cm^3

1800 cm^3

Answers

Answer: 600 cm³

Step-by-step explanation:

Volume of square pyramid = (1/3) · b² · h

b = base edge length = 10 cmh = height = 18 cm

Therefore, the volume can be calculated as

[tex]\frac{1}{3} *10^{2}*18=\frac{1}{3}*100*18=\frac{1}{3}*1800=\frac{1800}{3}=600[/tex]

Answer

900

Step-by-step explanation:

it is pyramid and finding its volume we use the 3 components that is length, with and the height

1/2 base x width x height

5 x 18 x 10 = 900cm³

please help answer question

Answers

Answer:

Mark me brainlist please please please please

Answer:

Step-by-step explanation:

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ n =1 (-1)^n - 1/n√n

Answers

Answer: hello your question is poorly written attached below is the complete question

answer:

The series is absolutely convergent

Step-by-step explanation:

To determine whether the series is absolutely or conditionally  convergent or divergent. apply the Root Test

The series is absolutely convergent

attached below is the solution

I need helpppp please I don’t understand this question at alll

Answers

Answer:

17000

Step-by-step explanation:

17^1 * 10^3

17 * 10*10*10

17*1000

17000

the answer is 17,000

the exponent shows how many times you multiply the number by itself

here is an image for an explanation

hope I helped ❤

Question 3 (5 points)
Draw a right isosceles triangle.

Answers

I drew it so here’s an example

Answer:

Step-by-step explanation:

Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.

I need help finding what U stand for

Answers

Answer:

u = 18

Step-by-step explanation:

The two angles 3u and u+36 are equal so

3u = u+36

Subtract u from each side

3u -u = u+36-u

2u = 38

Divide by 2

2u/2 = 36/2

u = 18

A local church holds an annual raffle to raise money for a new roof. They sell only 500 tickets at $50 each. This year's prizes include: $3,000 in cash, four $100 Amazon gift cards, and two $75 Visa gift cards. You buy one ticket. What is your mathematical expectation for this game

Answers

Answer:

The expectation for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is:

Ev = x₁*p₁ + ... + xₙ*pₙ

There are 500 tickets sold.

1 of these, wins $3,000  (this is the event x₁)

4 of these, wins $100     (this is the event x₂)

2 of these, wins $75        (this is the event x₃)

The others do not have a prize.

So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)

p₁ = 1/500

Similarly, the probability of winning $100 will be:

p₂ = 4/500

And for the $75 prize:

p₃ = 2/500

Then the probability of not winning is:

p₄ = 493/500

Then the expected value for a single ticket is:

Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500

Ev = $7.1

If you take in account that you pay $50 for the ticket, the actual expectation should be:

E = $7.10 - $50 = -$42.90

A son is 8 years old. his father is 5 times as old. How old will the father be when he is twice as old as his son?

Answers

The father would be 64 years old

A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answers

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota
A -70°F
B -46°F
C 46°F
D 70°F​

Answers

Answer:

D 70°F

Step-by-step explanation:

Difference between temperature in Hawaii and in South Dakota is 12°F - (-58°F) = 12°F + 58°F = 70 °F

One time Maria took 27 minutes to walk 1.8km to school. She left home at 07:48 . Write down the time Maria arrived at school

Answers

Answer:

8:15

Step-by-step explanation:

the time would be 8:15 7:48 + 27 = 8:15

If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle

Answers

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

What is the inverse of the function g (x) = 5 (x - 2)

Answers

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

I NEED HELP ON MATH PLS

Answers

Answer:

5/2 or 2½ or 2.5

Step-by-step explanation:

20/8 = 2.5

10/4 = 2.5

Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).

Source
StylesNormal

Answers

There are 6 DIFFERENT POSSIBLE arrangements as obtained using the factorial method and they are :

DMC, CMD, DCM, MDC, CDM, MCD

Given :

DETECTIVE STORY = D

MYSTERY STORY = M

COMIC BOOK = C

To use the factorial method, we find the factorial value of the number of books to be arranged

Number of different possible arrangements = (number of books)!

Number of books = 3

Hence, 3! = 3 * 2 * 1 = 6 ways

The sample space :

DMC

CMD

DCM

MDC

CDM

MCD

THEREFORE, there are 6 different samples on the SAMPLE SPACE.

learn more :

https://brainly.com/question/13041664

When is it appropriate to use the​ two-sample t-methods instead of the one sample​ t-methods? Choose the correct answer below. A. Use the​ two-sample t-methods when a sample was taken from each of two populations​ (i.e. two groups being​ compared) and the population standard deviations are not known. Use the​ one-sample t-methods when a sample was taken from one population. B. Use the​ two-sample t-methods when a random sample was not taken. Use the​ one-sample t-methods when a random sample was taken. C. Use the​ two-sample t-methods when the conditions for inference using the​ one-sample t-methods​ aren't satisfied. D. Use the​ two-sample t-methods when the population standard deviation is known. Use the​ one-sample t-methods when the population standard deviation is not known.

Answers

Answer:

A. Use the​ two-sample t-methods when a sample was taken from each of two populations​ (i.e. two groups being​ compared) and the population standard deviations are not known.

Step-by-step explanation:

T-distribution:

When the population standard deviation is not known, the t-distribution is used.

If a sample was taken from one population, we use the one-sample method, while if there is a comparison of two populations, the two-sample method is used, and thus, the correct answer is given by option A.

Tuition. The tuition at a community college increased from $2,500 to $2,650 per semester. What was the percent of increase in the tuition?​

Answers

Answer:

6 percent increase

Step-by-step explanation:

2650 divided by 2500 gives you 1.06 which means if 2500 is 100 percent 2650 would be 106 percent so the answer is a 6 percent increase

Answer:

6%

Step-by-step explanation:

another way of doing this type of calculation is...

NEW-OLD  =  2650-2500  = 150     = .06 = 6%

   OLD                2500            2500

Find the Antilog of 547.840​

Answers

Answer:

It's impossible because the figure is greater than 10

Step-by-step explanation:

[tex]{ \boxed{ \bf{antilog \: of \: x = \frac{x}{ log} = {10}^{x} }}}[/tex]

Therefore:

[tex]{ \sf{anti(547.840) = {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}[/tex]

An advertiser goes to a printer and is charged $36 for 80 copies of one flyer and $46 for 242 copies of another flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if xx is the number of copies made.

Answers

Answer:

ytre

Step-by-step explanation:

build and sketch 2x2+7x+6)

Answers

Answer:

Step-by-step explanation:

whats the value of 5 in the product of 6,541 x 100

Answers

Answer:

50,000

Step-by-step explanation:

The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.

I hope this helps!

two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.

Answers

Answer:

Step-by-step explanation:

Let v be the speed of the slower car

2v is the speed of the faster car

In 2 hrs, the slower car travels a distance of

2 hr(v km/hr) = 2v km

In 2 hrs, the faster car travels a distance of

2 hr(2v km/hr) = 4v km

2v + 4v = 300

6v = 300

 v = 50 km/hr

2v = 100 km/hr

4 + 1n(x-1)=3 solve for x

Answers

[tex]\\ \sf \longmapsto 4+10(x-1)=3[/tex]

[tex]\\ \sf \longmapsto 4+10x-10=3[/tex]

[tex]\\ \sf \longmapsto 10x-6=3[/tex]

[tex]\\ \sf \longmapsto 10x=3+6[/tex]

[tex]\\ \sf \longmapsto 10x=9[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{9}{10}[/tex]

Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)​

Answers

Answer:

4(4x-16)

Step-by-step explanation:

If you like my answer than please mark me as brainliest

It’s 4(4x-4)
Using the distributive property you would take the 4 outside of the parentheses, and multiply it by the 4x and then by the -4 inside the parentheses. 4•4x=16x. 4•-4=16 (remembering that a negative times a positive is still a negative)
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