A scientist uses 20 grams of carbon every 10 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?

Answer:

[tex](a)\ A_1 = s^2[/tex]

[tex](b)\ A_2 = 4s^2[/tex]

(c) 4 small squares

Step-by-step explanation:

Given

Small Square:

[tex]Dimension: s[/tex]

Large Square:

[tex]Dimension: 2s[/tex] i.e. twice as long as the small square

Solving (a): The area of the small square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_1 = s^2[/tex]

Solving (b): The area of the large square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_2 = (2s)^2[/tex]

[tex]A_2 = 4s^2[/tex]

Solving (c): Number of small square to cover the large square

To do this, we simply divide their areas.

Let n represents the required number; n is calculated as:

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{4s^2}{s^2}[/tex]

[tex]n = 4[/tex]

Hence, 4 small squares is required to cover the large square

Answer:

$17,440

Step-by-step explanation:

the interest every year

=$16,000×3%

=$16,000×3/100

=$480

the balance after 3 years

=$16,000+3($480)

=$16,000+$1,440

=$17,440

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

Answer:

56.0625

Step-by-step explanation:

5 3/4x 9 3/4=56.0625

Answer:

Area = 7 km x 5 km = 35 km2 ... by either an addition, subtraction, or some other combination of operations to find the required area. ... ½ x base x height ½ x 9 x 4 = 18. Area of rectangle part: width x height 9 x 6 = 54.

Step-by-step explanation:

Answer: Hello, your Answer is Below ^^

Your Answer Is 6

Step-by-step explanation:

I Got the answer 6 Because 6 x 2 = 12

Tina Walked 12 blocks and Half of 12 Is 6

Hope this helps  you!

Have a great Day!

~Rainbow~

Answer:

the correct answer is 6

Step-by-step explanation:

since twice = 2 you'll need to do 12 divided by 2

which is equal to 6.

or you can simply just think what number is twice in 12.

Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.

Answer:

9-8 = 1  and 7 times 2 = 14

Step-by-step explanation:

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.

Answer:

115%

Step-by-step explanation:

5 is completely irrelevant, Vertical angles are congruent.

Answer:

D.

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are three terms. So, 14x² + 3x -15 is a trinomial

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

Answer:

Give brainly to other guy

Step-by-step explanation:he deserves it

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer: three dimensional figure and plane.

Step-by-step explanation:

A cross section is the intersection between a (three dimensional figure) and also a (plane).

When an object is being cut straight, the shape that we get is referred to as the cross section. We should note that several parallel cross sections will be firmed when we cut a particular object into slices.

Answer:

He got 5 right

Step-by-step explanation:

10% = 0.1

50(0.1) = 5

Answer:

5 questions were answered correctly

Step-by-step explanation:

10% of 50 is 5. So that means 5 questions were answered correctly.

Answer:

The Value of x = 23.1 unit

Step-by-step explanation:

Given:

Parallel line intersect

Find:

The value of "X"

Computation:

We know that given lines are parallels

So, by using Ratio theorem we can find the value of "x"

Ratio theorem of parallel lines say

AB / BC = AD / DE

So,

14 / 20 = x / 33

x = [14 x 33] / 20

The Value of x = 23.1 unit

9514 1404 393

Answer:

  23) insufficient number of corresponding sides/angles

  24) insufficient number of corresponding sides/angles

Step-by-step explanation:

In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)

__

23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)

  Reason: insufficient data

__

24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.

  Reason: insufficient data

Answer:

Less

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

Answer:

50,50,25

Step-by-step explanation:

Answer:

50,50.25

Step-by-step explanation:

Answer:  the correct answer should be 160 but you said that didnt work so try 480

Step-by-step explanation:  

I just did base times Hight 8*10 which is 80*6=480

hoped this helps:))

Answer:

80

Step-by-step explanation:

V= Bh/3

Area of base= (L × W) ÷2

(8×6)÷2 = 24

Multiply by height

24×10=240

Divide by 3 (since its a pyramid therefore has 3 sides)

240/3=80

80 is your answer

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Answer: n = -1

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add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

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

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

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

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

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simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

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divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

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simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

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Answer:

n= -1

Step-by-step explanation:

Answer: X=-4

Step-by-step explanation:

Should be B on Edge.

Answer: X = -4

Step-by-step explanation: