m = 0.15 (8.6 - s)
The amount in moles, m, of a reactant s seconds after the start of a chemical reaction is given by
the equation above. Which of the following is the best interpretation of the number 8.6 ?

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

In the given statement is:

λ = 2.5 x 10^-2 \(min^{-1}\)is the rate constant of the nucleus

To solve this problem, we use

N(t) = \(N_{0}\)e^-λt

and since we are looking for the time it takes to decay the nucleus to one -fourth of its original amount, we set

N(t) = 1/4 \(N_{0}\) = 0.25\(N_{0}\)

We can substitute this in the decay equation:

0.25\(N_{0}\) =\(N_{0}\) e^-λt

Cancel the like terms

0.25 = e ^-λt

Take the natural logarithm of both sides:

㏑(0.25) =㏑(e^-λt)

㏑(0.25)= -λt

Solve for the time t:

t = - ㏑(0.25)/λ

Substitute the given rate constant :

t = ㏑(0.25) / 2.5 x 10^-2 \(min^{-1}\)

t = -1.3863 /2.5 x 10^-2 \(min^{-2}\)

t = 55.452mins

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

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Answer:

5

Step-by-step explanation:

use formula a^2+b^2=c^2

so 4^2+3^2=25

then we square root 25 to get the length

square root of 25 equals 5

so the length is 5

hope this helps!

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

The general solution of the differential equation 3x2y'+6xy=15y3 Therefore, the general solution of the differential equation 3x^2y'+6xy==15y^3 is y = √(-10/(2ln|x| + 1/x + C)).

Is given by:

y = (c/x3)1/2exp(-(x2)/18) , where c is a constant.
The general solution of the given differential equation can be found using the method of separation of variables. First, we will rearrange the equation to get all the terms with y on one side and all the terms with x on the other side:

3x^2y' = 15y^3 - 6xy

Next, we will separate the variables by dividing both sides of the equation by y^3 and by 3x^2:

y'/(5y^3) = 2/x - 1/x^2

Now we will integrate both sides of the equation with respect to x:

∫y'/(5y^3) dx = ∫(2/x - 1/x^2) dx

Using the power rule for integration, we get:

-1/(10y^2) = 2ln|x| + 1/x + C

Finally, we will solve for y to get the general solution of the differential equation:

y = √(-10/(2ln|x| + 1/x + C))

Therefore, the general solution of the differential equation 3x^2y'+6xy==15y^3 is y = √(-10/(2ln|x| + 1/x + C)).

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A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations.

A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations. The use of sample data in hypothesis testing allows one to judge a hypothesis' veracity.

The null hypothesis states that the estimate is only based on chance. If the observed data (in the sample) do not differ from what would be predicted solely by chance, then the null hypothesis is true. The alternative hypothesis is what the null hypothesis has as its counterpart.

Two population parameters, such as an independent variable and a dependent variable, are said to be unrelated under the null hypothesis. It's possible that an experimental or sampling error caused the result if the hypothesis indicates a relationship between the two parameters.

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The surface area of the cone is 450π in². Therefore, the answer is option B.

The surface area of a cone can be represented as follows:

surface area of a cone = πr(r + l)

where

Therefore,

r = 9 inches

l = 41 inches

Hence,

surface area of a cone = π × 9(9 + 41)

surface area of a cone = 9π(50)

Therefore,

surface area of a cone = 450π inches²

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The loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.

We need to calculate their price per gram.

Price per gram of pre-packed sweets:

120 g of pre-packed sweets cost £1.49

1 g of pre-packed sweets costs £1.49 / 120 = £0.01242 (rounded to 5 decimal places)

Price per gram of loose sweets:

100 g of loose sweets cost £0.89

1 g of loose sweets costs £0.89 / 100 = £0.0089

So, the loose sweets are better value, as they cost only £0.0089 per gram, compared to £0.01242 per gram for the pre-packed sweets.

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Answer:

-4

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-4

Step-by-step explanation:

give the person there branliest:)

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

Answer:

f(2) = 32

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x + 16

f(2) is x = 2

Step 2: Evaluate

And we have our answer!

Answer:

a^2+2ab+b^2 is the formula

Answer:

\(\frac{x+7}{4}\)

(B) is your answer :)

Step-by-step explanation:

do you need me to work it out?

Answer:

b

Step-by-step explanation: took the test

The two numbers that multiply to 48 and add to -7 are:

(-7 + √(143)i) / 2 and -7 - ((-7 + √(143)i) / 2)

OR

(-7 - √(143)i) / 2 and -7 - ((-7 - √(143)i) / 2)

From the question, we are to determine the numbers that multiply to 48 and add up to -7

Let the numbers be x and y.

Then,

We can write that

xy = 48

x + y = -7

From the second equation, we can write that

x = -7 - y

Substitute the into the first equation

xy = 48

(-7 -y)y = 48

-7y - y² = 48

This can be re-written as

y² + 7y + 48 = 0

Solving the equations using the quadratic formula

y = (-b ± √(b² - 4ac)) / 2a

a = 1, b = 7, and c = 48

Substitute into the formula

y = (-7 ± √(7² - 4(1)(48))) / 2(1)

Simplifying inside the square root:

y = (-7 ± √(49 - 192)) / 2(1)

y = (-7 ± √(-143)) / 2

y = (-7 ± √(143)i) / 2

Hence,

y = (-7 + √(143)i) / 2

OR

y = (-7 - √(143)i) / 2

Substitute the values of y into x = -7 - y

x = -7 - ((-7 + √(143)i) / 2)

and

x = -7 - ((-7 - √(143)i) / 2)

Hence,

The two numbers are:

(-7 + √(143)i) / 2 and -7 - ((-7 + √(143)i) / 2)

OR

(-7 - √(143)i) / 2 and -7 - ((-7 - √(143)i) / 2)

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Answer:

C.8/27

Step-by-step explanation:

Answer:

3: equally likely

4: likely

Step-by-step explanation:

Question 3:

the spinner has 1, 2, 3, 4, 5, 6

2, 4, 6 are all even number which is 3 / 6 = 1 / 2

so half a chance can be odd or half even possibility of landing

Question 4:

- 13 yellow

- 4 green

- 3 blue

total marbles: 13 + 4 + 3 = 20

yellow / total = 13 / 20

which is more than half of the marbles are yellow

the answer equally

Step-by-step explanation:

equally

False. The system of parallel lines and spaces used to write music is called staff notation, not notation.

The statement is false. The system of parallel lines and spaces used to write music is called staff notation, not simply notation. Staff notation is a widely used method for representing music visually, where notes are placed on a set of horizontal lines and spaces called the staff.

In staff notation, the lines and spaces represent different pitches, and musical symbols such as notes, rests, and various other symbols are used to indicate duration, rhythm, dynamics, and other musical elements. The staff typically consists of five lines and four spaces, and additional lines and spaces can be added when necessary to represent higher or lower pitches.

Notation, on the other hand, is a broader term that refers to the system or method of representing something in written or symbolic form. It can be used to describe various systems of representation across different fields and disciplines, not limited to music. Therefore, the specific system used in music to write musical scores is called staff notation, not notation alone.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer:

yes you are correct A is the correct answer

Answer:

D

Step-by-step explanation:

10%of 36=3.6

5% of 36= 1.8

3.6+1.8 will give you the right answer

3.5.7.15, which is an odd number, equals 15.

18. 6 plus (5 times 7) equals 41, an odd number.

3 x 3/2 = 19, which is not a whole number, equals 4.5.

We can look at the sum of any three odd numbers, such as 3 + 5 + 7, to find a counterexample to demonstrate that the adage "The sum of any three odd numbers is even" is untrue. The outcome of adding these three odd numbers together is 15, which is both an odd and an odd number. This demonstrates that the claim is untrue. We can look at an example like when 6 is added to the product of two odd numbers, like 5 and 7, to find a counterexample to demonstrate that the adage "When an even number is added to the product of two odd numbers, the result will be even," is untrue. The outcome of adding 6 to the product of 5 and 7 is 41, an odd number that is not an even number. This demonstrates that the claim is untrue.

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Step-by-step explanation:

4f+12=62

4f=62-12

4f=50

f=50/4

f=12.5

a brick staircase has a total of number of 12 steps. the bottom step requires 100 bricks.A total of 246 bricks are required to build the staircase.

The total number of steps in the brick staircase is 12. The bottom step requires 100 bricks. Each successive step requires 4 less bricks than the prior one. Therefore, the number of bricks required to build the staircase can be calculated as follows:

The first step requires 100 bricks.

The second step requires 96 bricks (100 - 4 = 96).

The third step requires 92 bricks (96 - 4 = 92).

This pattern continues until all 12 steps are accounted for.

Adding the number of bricks required for each step gives a total of 246 bricks required to build the entire staircase.

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The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

The new score was less than 50. (B)

When one new score is added to a distribution, the mean can either increase, decrease or stay the same, depending on the value of the new score and the number of scores in the distribution.

The mean of the distribution is equal to the sum of all the scores divided by the number of scores. If the new mean is found to be less than the previous mean, then it can be concluded that the new score was less than the previous mean.

In this case, the mean of the distribution was originally 50, but when the new score was added, the mean became 48. Since the mean decreased, it can be concluded that the new score was less than 50.

This result is consistent with the idea that the new score was smaller than the previous mean, which would result in a decrease in the mean when added to the distribution.

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Answer:

9 people per row

Step-by-step explanation:

63/7=9

let me now if right

Answer:

Step-by-step explanation:

If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;

AM=9x-5 and MB=15-x

Required parameter

segemnt AB

Substituting the given parameters into the given formula to get AB we will have;

AB = AM+MB

AB = 9x-5+15-x

collect like terms

AB = 9x-x-5+15

AB = 8x+10

Hence the length of segment AB is 8x+10

The probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81%

The soft drink machine has a mean output of 2727 ounces per cup.

The machine's output is normally distributed with a standard deviation of 33 ounces.

We want to find the probability of the cup's volume falling between 2121 and 3030 ounces.

To solve this, we need to standardize the values using the z-score formula

z = (x - μ) / σ

where:

x is the desired value (2121 and 3030 ounces),

μ is the mean (2727 ounces),

σ is the standard deviation (33 ounces).

For the lower bound (2121 ounces):

z(lower) = (2121 - 2727) / 33

For the upper bound (3030 ounces):

z(upper) = (3030 - 2727) / 33

Now, we can look up the corresponding probabilities using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find the probabilities associated with the z-scores.

P(2121 < x < 3030) = P(z(lower) < z < z(upper))

Calculating the z-scores:

z(lower) = (2121 - 2727) / 33

z(lower) ≈ -1.8387

z(upper) = (3030 - 2727) / 33

≈ 0.9192

Using the standard normal distribution table, we can find the corresponding probabilities associated with these z-scores.

P(-1.8387 < z < 0.9192) ≈ 0.8181

Therefore, the probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81% .

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Answer:

42

Step-by-step explanation:

6 + 2r + 10

Input r=13 into the equation

6 + 2(13) + 10

6 + 26 + 10

32 + 10

42

Hope this helps!

Have a nice day!

If you find my answer helpful

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Answer:

42

Step-by-step explanation:

6+(r+5)2; r=13, S=2

Lets plug in what we know

6+(13+5)2 (Solve what is in the parentheses)

6+(18)2 (The 2 behind the parentheses is the same as a 2 in front of the parentheses. You will still multiply by 2)

6+36

42