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

pls help me with this:((((​

Answers

Answer:

See image

Step-by-step explanation:

Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.

The m is the slope, that is the number in front of the x.

The b is the y-intercept, that is the number added on at the end of the equation.

A can of soup is a cylinder with diameter 7 cm.

The can is 10 cm high

The can is full of soup

soup

The soup is poured into a saucepan.

The saucepan is a cylinder with diameter 12 cm.

Work out the depth of the soup in the saucepan.

Give your answer correct to 1 decimal place.

Answers

Answer:

3.4 cm

Step-by-step explanation:

We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.

Cylinder volume: πr²h

r = 0.5 * diameter

volume of soup: π(3.5)²10 ≈ 384.845

volume of soup in saucepan: 384.845

For saucepan:

πr²h = π(6)²h = volume = 384.845

36πh = 384.845

divide both sides by 36π to isolate h

h ≈ 3.4 cm

Use the area model to multiply

1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.

Answers

Answer:

no porque algunproblemw

A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage

Answers

Ok read first heheheh where

which expression simplies to 40x10?

Answers

Answer:

i think its 4*1

Step-by-step explanation:

hope this helps

have a great day

~Zero~

Answers

Explainations

Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)

(−9, −6)

(−8, −2)

(0, −12)

(4, −20)

Answers

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

Which function has a greater rate of change?
A.
Y=X4
B.
X Y
-2-11
0-9
2 -7
-
3-6
6-3

Answers

Neither, they are equal.
Just look at how y varies with x. We can see that in the table as x increases by two y increase by 2 so the rate of change is just one. Slope is the term for rate of change. Y=x-4 has a slope of 1. 1=1. They have the same rate of change.

The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0

Answers

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

What value of x makes this equation true? 12x minus 15 = 6 minus 3x.

Answers

Answer:

x = 1.4

Step-by-step explanation:

12x - 15 = 6 - 3x

12x + 3x = 6 + 15

15x = 21

x = 1.4

Check:

12(1.4) - 15 = 1.8

6 - 3 (1.4) = 1.8

The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Given:

12x minus 15 = 6 minus 3x

12x - 15 = 6 - 3x

collect like terms

12x + 3x = 6 + 15

15x = 21

x = 21 / 15

x = 1.4

Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Learn more about equation:

https://brainly.com/question/4916384

Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)

Answers

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

need help asap ………….

Answers

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Please help me with this it’s is urgent

Answers

Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

If a 16 ounce box of pasta costs $1.39, what is the unit price?

Answers

0.9 because you have to divide the cost

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.

Answers

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

HELP PLS!!
Adding and subtracting vectors in component form

Answers

Answers:u+v = <3,12> w+g = <7,0> g-z = <2,4> v-u = <9,4> y+v = <7,9> u+v+y = <4,13>

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale

Answers

Answer:

8 inches= 62 ft

Step-by-step explanation:

496 divided by 8

I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)

Answers

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

pls help if you can. ​

Answers

Answer:

A. 85  B. 87  C. 60

Step-by-step explanation:

As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.

A: [360-(132+63+80)]

360 - 275

=85

B: [180(60+33)]

180 - 93

=87

C: [360(120+60+120)]

360 - 300

=60

1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? ​Plzz help me

Answers

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

Plz help me with this

Answers

Answer:

sorry cant see the question

Step-by-step explanation:

I rlly need help on this homework

Answers

Hi there! :)

First, let's use the Distributive Property.

It states that

a(b+c)=ab+ac

Therefore

5(2h+8)=10h+40

10h+40<60

Move all the numbers to the right, using the opposite operation:

10h<60-40

10h<20

h<2

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping others

Good luck.

Hey there!

5(2h + 8) < 60

= 5(2h) + 5(8) < 60

= 10h + 40 < 60

SUBTRACT 40 to BOTH SIDES

= 10h + 40 - 40 < 60 - 40

CANCEL out: 40 - 40 because it gives you 0

KEEP: 60 - 40 because it helps solve for the h-value.

NEW EQUATION: 10h < 60 - 40

SIMPLIFY IT!

= 10h < 20

DIVIDE 10 to BOTH SIDES

= 10h/10 < 20/10

CANCEL out: 10/10 because that gives you 1

KEEP: 20/10 because it gives you the result of the h-value

NEW EQUATION: h < 20/10

SIMPLIFY IT!

= h < 2

Therefore, your answer is: h < 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which equation represents the line that has a slope of 1/2 and
contains the point (0, 3)?
A y = 1/3x + 1/2
B y = 3x + 1/2
C y = 3/2x
D y = 1/2x + 3

Answers

Answer:

Solution given:

slope(m)=½

passing through point (x',y')=(0,3)

now

equation of a line is:

y-y'=m(x-x')

y-3=½(x-0)

y=½x+3

D.y=½x+3 is a required equation of a line.

The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.

Answers

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

Is -4/19 equivalent to 4/-19

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

-4/19 is completely different to 4/-19.

Im not sure how to word it but they are two completely different numbers.

Select the equation that contains the points (-1, -8) and (3, 4).

Answers

show us the equations
show us the equation

Find the value of the expression 8a +b, if a=3 and b= 1

a) 23 b) 29 c) 30 d) 25

Answers

8a + b

a=3

b=1

(8×3)+1

=24+1

=25

the answer is d)25

Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes​

Answers

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Which explanation correctly tells whether these ratios are equivalent and why?

Yes because 3 x 2 = 6 and 14 x 2 = 28.

No because there is no scale factor to get from 3 to 14.

Yes because 3 x 5 = 14 and 6 x 5 = 28.

No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.

Answers

Answer:

Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.

Step-by-step explanation:

This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.

=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form

Answers

Answer: y = 1/2x + .75

Step-by-step explanation:

Slope-intercept form: y = mx + b

Step 1: Find the slope.

Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]

[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]

To solve for the fractions you need a common denominator.

[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]

[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]

To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).

[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]

Step 2: Plug slope and a point into y=mx+b to solve for b.

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b

[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b

[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]

b = .75

y = [tex]\frac{1}{2}+.75[/tex]

-
If f(9) = - 3, write a corresponding ordered-pair solution.

Answers

Answer:

(9,-3)

Step-by-step explanation:

u just have to plug it up

Other Questions
15.) Mutatedwill make mutated! which will make the wrong Block 1, of mass m1m1 = 0.500 kgkg , is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2m2, as shown. For an angle of = 30.0 and a coefficient of kinetic friction between block 2 and the plane of = 0.400, an acceleration of magnitude aa = 0.450 m/s2m/s2 is observed for block 2.Find the mass of block 2, m2m2. How do robots demonstrate the modern, technological Japan? * A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can besaid about the parabola? explain why mary shelley includes the story of safie in the novel. use evidence and examples from the text to support your answer. How many molecules are present in this formula? 3H2 (SO)4 What was the order of the main events around the Haymarket Riot ? Explain what happened before , during , and after the riot . Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135. I need help! Whoever can solve this I'll give you the brainliest! Amaya used these steps to solve the equation 8x+4=9+4(2x1). Which choice describes the meaning of her result, 4=5? A.Amaya made a mistake because 4 is not equal to 5. B.No values of x make the equation true.C.All values of x make the equation true.D.The solution is x=4 or 5. cuban traditional dress How has A.I. evolved and helped humanity in recent times? Explain why Julie probably appreciates tea and tea ceremonies more after her conversation with her mother. Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks? Read paragraphs 17 and 19.How does the structure of each paragraph contribute to the development of the theme?In both paragraphs, the narrator uses metaphors to emphasize the importance of being humble.In both paragraphs, Mrs. March compares her daughters' behavior to contrast the benefits of arrogance and humility.In paragraph 17, the author uses dialogue to teach Amy a lesson, while in paragraph 19, the author's observations revealBeth's humilityIn paragraph 17. Mrs. March describes Amy's proud behavior, while in paragraph 19, the narrator utilizes dialogue toreveal Beth's modesty, When driving in heavy rain or on a flooded road your tires. A sample of N2O gas has a density of 2.95 g/L at 298 K. What must be the pressure of the gas? When countries specialize in the production of goods they have the comparative advantage in, both ___________ and ___________________ will increase 4x+6 Villeins went to their own homes at night True or false