Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
grams. How much did the original sample weigh? Use scientific notation to express your answer.

Answers

Answer 1

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

You can learn more about proportions at https://brainly.com/question/24372153


Related Questions

Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can go 14 meter in 15 seconds. Robot B can go 1 meter in 50 seconds.1) If Robot A continues at that same speed, how long will it take to go 1 meter? Remember units! __________2) How long for Robot A to go 4 meters at that speed? Remember units! _________

Answers

Answer:

1 1/14 seconds4 2/7 seconds

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.

Answers

Answer:

I believe the answer is 47. Forgive me if I'm wrong

a drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? What do the x and y intercepts represent?

Answers

Answer:

On average, the workers dig 4.75ft each day. Also, what x and y questions?

Step-by-step explanation:

Take [tex]38/8=4.75[/tex]

I hope you have a great day and make me the brainliest.

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

Given that,
A drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water,

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
The total depth of dig = 38 feet
Total time took to dig 38 feet = 8 days
For 1 day, the depth of the dig = 38 / 8 = 4.75
Now,
Let x is the number of days,
while y be the depth left to dig in feet,
y = 38 - 4.75x

The drilling team digs 4.75 feet every day, as per the given conditions, and y and x-intercept represent the depth and days respectively.

Learn more about equations here:

brainly.com/question/10413253

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Find the inverse function. f(x) = (x + 1​

Answers

Answer:

( x + 1 ) ^ 3

Step-by-step explanation:

f(x) = 3√x - 1

replace x with y

x = 3√y - 1

solve for y,

x = 3√y - 1

x^3 + 3x^2 + 3x + 1 = (x+1)^3

HOPE THIS HELPS :)

Find the value of r in the isosceles triangle shown below.
8
8
6

Answers

Answer:

r = 6

.....................

if l||m, find the value of x.

Answers

l || mWhen two parallel lines are intersect by a transversal, then the corresponding angles are equal.[tex]11x - 47 = 6x - 2 \\ = > 11x - 6x = - 2 + 47 \\ = > 5x = 45 \\ = > x = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

11x - 47 = 6x - 2                  Corresponding angle. Add 47 to both sides

11x = 6x + 47 - 2                 Combine

11x = 6x + 45                      Subtract 6x from both sides

11x - 6x = 45                       Combine

5x = 45                              Divide by 5

5x/5 = 45/5

x = 9

16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31

Answers

BEFORE YOU USE THE ANSWERS! I USED CALCULATOR AND IT TOLD ME THIS SO IM NOT SO SURE IF IM CORRECT!!
1: 0.16272727272
2: 0.98
3: 0.08181818181
4: 1.12888888889
5: 0.0707
6: 0.00687096774

If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?

Answers

Hey there. I like to lay out this sort of question in this way…

2 caterpillars = 6 leaves

We’ve been told to work out how many leaves 12 caterpillars eat each day.

So we can fill in our extra information…

2 caterpillars = 6 leaves
12 caterpillars = x leaves

From 2 to 12, we have multiplied by 6. What we do to one side, we must do to the other. Therefore, 6 x 6 = 36 leaves.

So for 12 caterpillars, they eat 36 leaves each day.


Answer:

72 Leafs

Step-by-step explanation:

[tex]\boxed{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2} }[/tex]

- Need a step-by-step answer!
- Thank you!

Answers

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]

Take LCM as 1-n^2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]

1+2..n=n(n+1)/2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]

[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}

[/tex]

Answer:

[tex] \frac{ - 1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. =

Step-by-step explanation:

1.

R.H.S

5.2 + 5.a

(now taking 5 common)

5(2+a)

What is the LCM of 8 and 10

Answers

40


8x5=40
10x4=40

Hope this helps

ASAP

Please show working out I will give out brainiest :)

Answers

the answer is B



gusts bc f d b v sbbdjdbhdbdhdhbdndhd
The answer should be (B) if not sorry

In the equation = + , what does b represent?

Answers

Answer:

Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:

y = 2x + b [or y = mx+b]

b is the y-intercept.

Step-by-step explanation:

In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).  

6. Line a: y - 3x = 4
Line b: y = 3x + 5
Line c: y - 4x = 3

Which lines are parallel

Answers

Answer:

Line a and b

Step-by-step explanation:

What is the y intercept of the line y + 11=-2(x+1.5)

Answers

[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]

Write 5.4 as a mixed number and as an improper fraction.
Write your answers in simplest form.

Answers

Answer:

5.4 as a fraction is 27/5.

Step-by-step explanation:

Learned in 5th grade

a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?

Answers

Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...

enter an algebraic expression for the word expression.
2 decreased by n​

Answers

Answer:

2 - n

Step-by-step explanation:

2 decreased by n means n less than 2.

Answer:

Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14

Step-by-step explanation:

2-n       Plz mark brainliest if correct

In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?

Answers

r/b = 2/3, so r = 2/3 b
(r-3)/b = 3/5
5(r-3) = 3b
5(2/3 b - 3) = 3b
Just solve for b

Someone please help me with this I learned this in class of the day I don’t remember it

Answers

Answer :

A) 4 and 7 are vertically opposite angles
B) 3 and 6 are alternating angles
C) 6 and 8 are corresponding angles
D) 1 and 8 are exterior alternating angles

This is the right answer :)

what is the 5th multiple of 6

Answers

Answer:

30

Step-by-step explanation:

What is 6, 5 five times?

Or 5x6?

In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.

Answers

Answer:

61.9

Step-by-step explanation:

mark me as brainliest

Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

What two numbers multiplied together equal 42 but when added they equal -13

Answers

Answer: -7 and -6

Step-by-step explanation:

Pleas help me for B and C

Answers

Answer:

In no b 7 people has represented □

In no c 2 people referred giraffe than dogs

Answer:

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

If a dozen exercise books cost 144, what will 14 of the same books cost

Answers

168


So you take the 144 divide 12(the dozen) so we could find how much 1 cost, it was 12. You added 2 more books so we add(12x2)+(144). That equals to 168

Hope this helps!

Need help quick !!!!!!!


write an equation for the nth term of the arithmetic sequence.then fine a10

Answers

Answer is attached.

Hope it helps :)

a calculus problem that i have no idea what to do please help

Answers

Answer:

-[tex]\sqrt{5}[/tex]/8

Step-by-step explanation:

so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.

rewrite the function to be -(5h)^1/2

then take its derivative using power rule and chain rule

-(1/2)*(5)*(5h)^(-1/2)  **the five comes from the chain rule and taking the derivative of the 5h

then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795

64 divided by 1184 worked out

Answers

Answer: 18.5

Step-by-step explanation:  1184/64= 18.5

Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?

Answers

Answer:

42

Step-by-step explanation:

the half of 42 is 21 so if she mailed the half of it then she just have 21 cards

how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester

Answers

1. You can do this 18/48x18/48x18/48x 18/48 and so on. X is not a variable
2. You can write down a power or in text you use a carrot or a ^ and write 18/48^10
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