3 x 12^-12 but have to show my work. I cannot figure it out without calculator

Answers

Answer 1

9514 1404 393

Answer:

  1/2,972,033,482,752

Step-by-step explanation:

If you must do this with pencil and paper, you can do it in a few stages.

  [tex]3\times12^{-12}=\dfrac{3}{12^{12}}=\dfrac{3}{(12^3)^4}=\dfrac{3}{(1728^2)^2}=\dfrac{1}{(1728^2)(576\cdot1728)}\\\\=\dfrac{1}{2985984\cdot995328}=1/(2\,972\,033\,482\,752)[/tex]

__

You may already know, for example from the number of cubic inches in a cubic foot, that 12^3 = 1728. This power of 12 can be used to shorten the computation of the 12th power of 12 using the rules of exponents. The long multiplication working at each stage is shown in the attachments. Please note that the final denominator here has 13 digits, which most calculators will not show. A spreadsheet may be able to give you the full precision.

If you need a decimal fraction, not the one shown, then you can compute 1/0.2972...×10^-13 ≈ 3.3646...×10^-13 as shown in the 4th attachment. You should use at least as many digits in the divisor as you need significant digits in the quotient.

This is tedious to do by hand, but is not out of the question. Is there some reason a calculator cannot be used?

3 X 12^-12 But Have To Show My Work. I Cannot Figure It Out Without Calculator
3 X 12^-12 But Have To Show My Work. I Cannot Figure It Out Without Calculator
3 X 12^-12 But Have To Show My Work. I Cannot Figure It Out Without Calculator
3 X 12^-12 But Have To Show My Work. I Cannot Figure It Out Without Calculator

Related Questions

In an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted. The examination comprises 20 questions. Ananya has answered 12 correct answer and 5 incorrect answers . Find her total score.​

Answers

Answer:

Ananya's total score was 50 marks.

Step-by-step explanation:

Given that in an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted, and the examination comprises 20 questions, and Ananya has answered 12 correct answer and 5 incorrect answers, to find her total score the following calculation must be performed:

(12 x 5) + ((20 -12 - 5) x 0) + (5 x -2) = X

60 + (3 x 0) + (-10) = X

60 + 0 - 10 = X

50 = X

Therefore, Ananya's total score was 50 marks.

The average annual precipitation in Berkeley, CA is 26.8 inches. Albany, NY has an average precipitation of 39.4 inches. What is the difference in two cities average annual precipitation.

Equation:


Solution:

Answers

Answer:

The equation is 39.4 - 26.8

The solution is: 12.6 inches.

Step-by-step explanation:

To find the difference in average precipitation between Albany and Berkeley, we subtract the average annual precipitation in each city.

We have that:

Albany: 39.4 inches

Berkeley: 26.8 inches.

So the equation is:

39.4 - 26.8

And the solution is:

39.4 - 26.8 = 12.6 inches.

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

8

Step-by-step explanation:

sin Θ = opp / hyp

Θ = 60

opp = 4

hyp = x

sin 60 = 4 / x                 sin 60 = 0.5     or 1/2

  1/2   = 4 / x

  x/2  =  4

    x   =  8

geometry help pleaseeee

Answers

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

PLease Help help Help

Answers

Answer:

98.1 square units

Step-by-step explanation:

know you need it quick

PLS HWLP ME, I REALLY NEED IT

Answers

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81

A treehouse has an inside room and a porch, as shown below. Which equation
represents the total area of the inside room and the porch?

Answers

Answer:

B

Step-by-step explanation:

It tells you

Answer:

Step-by-step explanation:

it is answer b

The locus of points in a plane 1 unit from the point (0,0)

Answers

Answer:

x² + y² = 1

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius of the circle.

Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:

[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]

IF THE TWO ANGLES IN A LINEAR PAIR HAVE EQUAL MEASURES THEN EACH IS A RIGHT ANGLE

TRUE OR FALSE

Answers

My guess would be true

A recent study in a small city stated that the average age of robbery victims was 63.5 years. A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years. At = 0.05, is the average age higher than originally believed?

Answers

Answer:

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

Step-by-step explanation:

A recent study in a small city stated that the average age of robbery victims was 63.5 years. Test if the average age higher than originally believed.

At the null hypothesis, we test that the mean is the believed mean age of 63.5 years, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternate hypothesis, we test if this mean is higher, that is:

[tex]H_1: \mu > 63.5[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

63.5 is tested at the null hypothesis:

This means that [tex]\mu = 63.5[/tex]

A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years.

This means that [tex]n = 20, X = 63.7, s = 1.9[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{63.7 - 63.5}{\frac{1.9}{\sqrt{20}}}[/tex]

[tex]t = 0.47[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 63.7, which is a right-tailed test, with t = 0.47 and 20 - 1 = 19 degrees of freedom.

With the help of a calculator, this probability is of 0.3219.

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

Does the quadratic function
f(x) = 3x2 + 5x + 17 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer
[?] real zero(s)

Answers

Answer:

[0] real zeros

Step-by-step explanation:

You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:

2 real zero(s) occur when b² – 4ac > 0.1 real zero(s) occur when b² – 4ac = 0.0 real zero(s) occur when b² – 4ac < 0.

Taking into account the definition of zeros of a function, the function has no real roots and its graph does not intersect the x-axis.

Zeros of a function

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. Then:

If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.

Amount of roots in this case

In this case, the function is f(x) = 3x²  + 5x + 17, where:

a= 3b= 5c= 17

Replacing in the definition of discriminant:

Δ= 5²- 4×3×17

and solving you get:

Δ= 25- 204

Δ= -179

Since Δ< 0, the function has no real roots and its graph does not intersect the x-axis.

Learn more about the zeros of a quadratic function:

brainly.com/question/842305

brainly.com/question/14477557

#SPJ9

Yolanda participated in a walkathon in which each kilometer walked raised $10 for
charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50
on Saturday.
a. Write and solve an inequality to determine the distances, in kilometers, that Yolanda
could have walked on Sunday to reach her goal.
b. Sketch a graph of your solution from part (a).

Answers

Step-by-step explanation:

a. 10d + 50 ≥ 300 ; d = distance in km

10d ≥ 300-50

10d ≥ 250

d ≥ 25

b. on the photo (attached)

Find all solutions of sin x - sqr3-3sin^2x =0

Answers

Answer:

sqr3 sin x/2

+ cos x = 1 if 0º< < 360°.  

Step-by-step explanation:

A coin collection consists of nickels, dimes and quarters, and has a total value of $3.30. There are three times as many nickels as quarters. How many coins of each kind are there if the numbers of dimes is three less than the average of the number of nickels and number of quarters

Answers

Answer:

18 nickels, 9 dimes, and 6 quarters.

Step-by-step explanation:

Answer:

18 nickels, 9 dimes, and 6 quarters

Step-by-step explanation:

Please I need help as soon as possible

Answers

Answer:

47. C. 30

48. D. 50

49. A. 10

50. A. 10

Step-by-step explanation:

47. The point in the middle of the box is the median, 30

48. The range is the last dot - the first dot outside of the box, 50 - 0 = 50

49. The interquartile range is the range inside the box, the first dot in the box is between 20 and 30, 25. The last dot in the box is between 30 and 40, 35.

35 - 25 = 10

50. Test A's median is 30, Test B's median is 40. 40 - 30 = 10

Hope this helps ^^

What is the weight (in grams) of a liquid that exactly fills a 465.0 milliliter container if the density of the liquid is 0.982 grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

Answers

Answer:456.63

Step-by-step explanation:

The weight (in grams) of a liquid is 456.63 grams.

What is weight?

Weight is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.

V = Volume of liquid = 182.8 milliliter

[tex]\rho[/tex] = Density of liquid = 0.135 grams over milliliter

We know that,'

mass= volume x density

        = 465 x 0.982

      = 456.63 grams

Learn more about weight here:

https://brainly.com/question/21965445

#SPJ2

HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

I think that it might be the third one. I hope this helped

3) 40% of the class of 30 students are boys.
How many are girls?

Answers

Answer:

there 18 girls

Step-by-step explanation:

40% of 30 = 12

this means there are 12 boys

30-12 = 18

there 18 girls

What is the measure of 4? Please and thank you :)

Answers

Answer:

[tex]\angle 2 = 48[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 48[/tex]

Required

Find [tex]\angle 2[/tex]

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.

So:

[tex]\angle 2 = \angle 1[/tex]

Substitute [tex]\angle 1 = 48[/tex]

[tex]\angle 2 = 48[/tex]

What is the volume of this triangular prism

Answers

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

marquis cut a 33 inch roll of wire into 7 equal sized pieces for a science experiment WHAT is th3 length of each piece of wire​

Answers

Answer:

4

Step-by-step explanation:

33÷7

What is the solution of the system of equations
y-x=5 and y=x² +5?
1) (0,5) and (1,6)
2) (0,5) and (-1,0)
3) (2.9) and (-1,4)
4) (-2,9) and (-1.4)

Answers

You can basically just plug in the values. “1) (0,5) and (1,6)” is correct.

In the figure below, j || n. Find the values of y and x.

Answers

So (3x+14)° and 70° are supplementary angles based on the picture and the given facts. This means added together they will equal 180
(3x+14)+70=180
3x+14=110
3x=96
x=32
You can then use (3x+14) to find y since they are corresponding. Above we found (3x+14)=110 and since y=(3x+14) then y=110

5x-1-3x≥4x+5

Someone help please

Answers

Answer:

-3≥x

Step-by-step explanation:

5x-1-3x≥4x+5

Combine like terms

2x-1≥4x+5

Subtract 2x from each side

2x-1-2x≥4x+5-2x

-1≥2x+5

Subtract 5 from each side

-1-5≥2x+5-5

-6≥2x

Divide by 2

-6/2≥2x/2

-3≥x

Answer:

See Image below for the steps:)

Step-by-step explanation:

Find the probability of rolling a number greater than 2 on a number cube labeled 1-6 write your answers as a decimal

Answers

Answer: Approximately 0.667

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

Explanation:

Here are all the possible outcomes to roll on the number cube: {1,2,3,4,5,6}

Here are the outcomes which are greater than two:  {3,4,5,6}

There are 4 outcomes we want (rolling a 3 through 6) out of 6 outcomes total, so we end up with the probability 4/6 = 0.667 which is approximate

In reality, the 6's go on forever in the decimal value, but we can't write the number forever. Round that value in bold however you need to or however your teacher instructs.


Solve for x. Round to the nearest tenth. *
9.8
5.3
61.2
8.6

Answers

Answer:

9.85

that is 9.8

Step-by-step explanation:

16sin38=x

x= 9.85

HELP PLS!!! WILL MARK BRAINLIEST

what percent of the runners ran 75 seconds or lower?

Answers

15 I think??(sorry IF YOU GET UT WRONG)
15 is the correct answer

A $550 T.V is discounted by 30%. It is then discounted another 10%

Answers

Answer:

346.50

Step-by-step explanation:

550 discounted by 30% is 385.00.

385.00 discounted by 10% is 346.50

$346.50
You do 550 x .3 = 165
550-165 =385
385 x .1 = 38.5
385 - 38.5 = 346.50

Starting salaries of 135 college graduates who have taken a statistics course have a mean of $42,650. Suppose the distribution of this population is approximately normal and has a standard deviation of $8,988. Using a 93% confidence level, find both of the following:
(NOTE: Do not use commas nor dollar signs in your answers.)
(a) The margin of error:
(b) The confidence interval for the mean μ:

Answers

Answer:

Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].

Step-by-step explanation:

Given :

Sample size [tex]n=135[/tex]

Sample mean [tex]\bar{x}=\$42,650[/tex]

Standard deviation [tex]\sigma =\$8,988[/tex]

Confidence level is [tex]93\%[/tex]

(a)  

The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]

 [tex]\because \alpha =1-[/tex]confidence level

     [tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]

     [tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]

   [tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table

Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]

   [tex]=1415.62189[/tex]

(b)

The confidence interval for the mean [tex]\mu\\[/tex] :

    [tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]

[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]

[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]

What is the answer for the four at the bottom?

Answers

What am I suppose to do so I can help you?
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