please answer I will mark brainliest​

Answer: 165 boxes

Step-by-step explanation:

Given

The dimension of the bigger box is  \(1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3\)

the dimension of the smaller box is  \(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3\)

The volume of the large box

\(\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3\)

The volume of the small box

\(\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3\)

Suppose there are n small boxes

\(\Rightarrow n=\dfrac{V_1}{V_o}\)

\(\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}\)

There are 6 cute numbers in total which are 14, 19, 49, 55, 79, 85.To find the cute numbers, we need to check all numbers greater than 9 and see if they satisfy the cute condition.

Let's start by analyzing the digits of a number. Suppose the number has two digits, x and y. The cute condition requires:

x + y + xy = 10x + y

Rearranging this equation, we get:

xy - 9x = y - x

xy - x - y = -9x

(x - 1)(y - 1) = 9x - 1

For a number to be cute, the right-hand side of the equation must be divisible by the left-hand side. Since 9x - 1 is odd, the left-hand side must also be odd, which means one of the factors (x - 1) or (y - 1) must be odd and the other even.

We can now check all possible pairs of (x,y) that satisfy this condition. We find that the cute numbers are:

14, 19, 49, 55, 79, 85. Therfore, there are total 6 cute numbers.

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An significance level of 0.05 to compare the p-value against for decision-making regarding the null hypothesis.

The proportion of gun owners went up between 2015 and 2020 a two-proportion z-test.

Null hypothesis (H₀): The proportion of gun owners is the same in 2015 and 2020.

Alternative hypothesis (H₁): The proportion of gun owners increased between 2015 and 2020.

For the two-proportion z-test, the test statistic is given by,

z = (p₁ - p₂) / √(p(1 - p) × (1/n₁ + 1/n₂))

where:

p₁ and p₂ are the sample proportions of gun owners in 2015 and 2020, respectively.

p is the pooled sample proportion, calculated as (x₁ + x₂) / (n₁ + n₂), where x₁ and x₂ are the number of gun owners in 2015 and 2020, and n₁ and n₂ are the corresponding sample sizes.

The test statistic (z-score), it to calculate the p-value. The p-value is the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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The figure we have is a circle and we need to find its area.

To find the area of any circle we use the following formula:

Where A is the area, and r is the radius of the circle.

Step 1. Identify the radius of the circle.

The radius is a line that goes from the center of the circle to a point in the circumference. In this case, the radius is shown in red in the following diagram:

Thus:

Step 2. Once we know the radius, we can substitute its value into the area formula:

substituting r=5km:

And we solve the operations since 5^2 is equal to 25:

The indications are to leave the answer in terms of pi, which means that we don't substitute the value of pi in the answer, thus, that is the final answer.

Answer:

checkers, also called drafts, board game, one of the oldest games in the world. Checkers are played by two people facing each other on a chessboard with 64 light and dark squares, just like a chessboard.

with n=0 clearly 1 path.

with n=1 clearly 0 ways.

with n=2 clearly 0 ways.

with n=3 clearly 0 ways.

If n=4, then the columns must be 2,2,0 and the rows must be 2,2,0. So the tiles must form the corners of the rectangle, there are 3 ways to select the top and bottom sides of the rectangle and 3 ways to select the left and right sides of the rectangle. So a total of 9.

If n=5, consider how many per row, it can only be 3,2,0. And clearly this means that one column has exactly one chip, so zero paths.

If n=6, consider how many per row, it could be 3,3,0 or 2,2,2. If it is 3,3,0 then there are clearly 3 ways. If it is 2,2,2, there are two possible column arrangements: 3,3,0 or 2,2,2. The first produces 3 arrangements and the second 6 arrangements. 12 ways in total.

If n=7 then it doesn't just work that the two "missing" squares are in the same row/column, there are obviously 6×3=18 ways to pick the two missing tiles, so there are (97) −18=18 correct arrangements .

If n=8 each method clearly works, then 9.

If n=9 each method clearly works, then 1.

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$14 / 1.75 = $8

General admission is $8

Answer: 2 3/5ths are left or 13/5

Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls

The daily log return of a security follows the model Tt = 0.02 + 0.5r-2 + € where {e} is a Gaussian white noise series with mean zero and variance 0.02.The mean and variance of the return series r can be calculated as follows:

μr = E(r) = E(Tt - 0.02 - 0.5r-2) = -0.01σ2r = Var(r) = Var(Tt - 0.02 - 0.5r-2) = 0.02 + 0.25Var(r-2)

The lag-1 and lag-2 autocorrelations of rt can be calculated as:

ρ1 = Cov(r100, r99) / Var(r99)ρ2 = Cov(r100, r98) / Var(r98)

The 1- and 2-step-ahead forecasts of the return series at the forecast origin t = 100 can be calculated as:

rt+1 = E(rt+1| rt, rt-1) = E(0.02 + 0.5rt-1 + €t+1| rt, rt-1) = 0.02 + 0.5rt-1rt+2 = E(rt+2| rt, rt-1) = E(0.02 + 0.5rt+1 + €t+2| rt, rt-1) = 0.02 + 0.5E(rt+1| rt, rt-1)

The associated standard deviation of the forecast errors can be calculated as follows:

σ(1) = sqrt(Var(rt+1 - E(rt+1| rt, rt-1)))σ(2) = sqrt(Var(rt+2 - E(rt+2| rt, rt-1)))

The final answers can be given in values by using the given values in the equation of μr = E(r) and σ2r = Var(r).

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Answer: The answer is D

Step-by-step explanation:

I got this answer by plugging in y=9^x and y=9^0.8 into a graphing calculator and then I saw that the y intercept for the first equation was (0, 1) and the y intercept for the second equation is (0, 5.8). Once you have this information you take both the y values and put them together to get (1, 5.8).

Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

SOLUTION

Problem Statement

The question wants us to find the average rate of change of the function y = 18 on the interval [1000, 10,000].

Method

- The function given is a constant function. This means that for every value of x from -∞ to +∞, the value of the function will always be y = 18.

- Since y is a function of x (albeit a constant function of x), it can be written as y = f(x).

- With these in mind, we can find the average rate of change of the function using the formula given below:

- Note that since the function is a constant function, we should expect that its rate of change should be ZERO since the function is constant throughout despite the value of x.

Let us apply the formula above to find the average rate of change of the given function.

Implementation

The average rate of change of the function y = 18 is gotten below:

Final Answer

The average rate of change of the function y = 18 on the interval [1000, 10,000] is ZERO

Answer:

y = -1/2x - 4

Step-by-step explanation:

6y = -3x - 24 ---> y = -3/6x - 4 ---> y = -1/2x - 4

Creating 10 multiple-choice questions from the nested quantifiers chapter of discrete mathematics.

Nested quantifiers are an essential concept in discrete mathematics that involves the combination of multiple quantifiers within a single statement. To create multiple-choice questions on this topic, we can focus on testing the understanding of nested quantifiers, their logical combinations, and their applications in various scenarios.

1. Which of the following represents the correct negation of the statement "For every x, there exists y such that P(x, y)"?

  a) There exists x for which, for every y, P(x, y)

  b) There exists x for which there does not exist y such that P(x, y)

  c) For every x, there does not exist y such that P(x, y)

  d) For every x, for every y, P(x, y)

2. Consider the statement "There exists an x such that for every y, P(x, y)." Which of the following is its contrapositive?

  a) There exists an x such that there does not exist y such that P(x, y)

  b) For every x, there exists y such that P(x, y)

  c) For every x, for every y, P(x, y)

  d) There exists an x such that for every y, P(x, y)

3. Let Q(x) be the statement "x + 5 > 10" and R(y) be the statement "y - 3 < 0." Which of the following represents the negation of "There exists x and y such that Q(x) and R(y)"?

  a) For every x, Q(x) or R(x)

  b) There exists x for which Q(x) or R(x)

  c) For every x, Q(x) and R(x)

  d) There exists x such that Q(x) and R(x)

4. Which of the following is equivalent to the statement "For every x, there exists y such that P(x, y)"?

  a) For every y, there exists x such that P(x, y)

  b) There exists y such that for every x, P(x, y)

  c) There exists x and y such that P(x, y)

  d) For every x, P(x, y)

5. Consider the statement "For every x, there exists y such that P(x, y)." Which of the following represents its converse?

  a) For every x, there exists y such that P(y, x)

  b) There exists x such that for every y, P(y, x)

  c) There exists x and y such that P(x, y)

  d) For every x, P(x, y)

6. Let Q(x) be the statement "x + 5 > 10" and R(y) be the statement "y - 3 < 0." Which of the following represents the statement "There exists x and y such that Q(x) or R(y)"?

  a) For every x, Q(x) and R(x)

  b) There exists x for which Q(x) and R(x)

  c) For every x, Q(x) or R(x)

  d) There exists x such that Q(x) or R(x)

7. Which of the following represents the correct negation of the statement "There exists x such that for every y, P(x, y)"?

  a) For every x, there exists y such that P(x, y)

  b) For every x, there does not exist y such that P(x, y)

  c) There exists x such that for every

y, P(x, y)

  d) There exists x such that there does not exist y such that P(x, y)

8. Consider the statement "There exists an x such that for every y, P(x, y)." Which of the following is its inverse?

  a) For every x, there exists y such that P(x, y)

  b) There exists x for which there does not exist y such that P(x, y)

  c) For every x, for every y, P(x, y)

  d) There exists an x such that for every y, P(x, y)

9. Let Q(x) be the statement "x + 5 > 10" and R(y) be the statement "y - 3 < 0." Which of the following represents the negation of "For every x and y, Q(x) and R(y)"?

  a) For every x, Q(x) or R(x)

  b) There exists x for which Q(x) or R(x)

  c) For every x, Q(x) and R(x)

  d) There exists x such that Q(x) and R(x)

10. Which of the following is equivalent to the statement "There exists an x such that for every y, P(x, y)"?

   a) For every y, there exists x such that P(x, y)

   b) There exists y such that for every x, P(x, y)

   c) There exists x and y such that P(x, y)

   d) For every x, P(x, y)

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For all x, there exists a y such that R(x,y) is trueB. There exists a y such that for all x, R(x,y) is trueC. For all x and y, R(x,y) is trueD. There exists an x such that for all y, R(x,y) is true2. What does the statement ∃x∀y P(x,y) mean?A. For all y, there exists an x such that P(x,y) is trueB. There exists an x such that for all y, P(x,y) is trueC. For all x and y, P(x,y) is trueD. There exists a y such that for all x, P(x,y) is true3. What does the nested quantifier ∀y∃x Q(x,y) mean?

A. There exists an x such that for all y, Q(x,y) is trueB. For all y, there exists an x such that Q(x,y) is trueC. There exists a y such that for all x, Q(x,y) is trueD. For all x, there exists a y such that Q(x,y) is true4. What does the statement ∀x∃y S(x,y) mean?A. There exists an x such that for all y, S(x,y) is trueB. For all y, there exists an x such that S(x,y) is trueC.

There exists a y such that for all x, S(x,y) is trueD. For all x and y, S(x,y) is true5. What does the nested quantifier ∃x∀y T(x,y) mean?A. For all x, there exists a y such that T(x,y) is trueB. There exists a y such that for all x, T(x,y) is trueC. For all x and y, T(x,y) is trueD. There exists an x such that for all y, T(x,y) is true6. What does the statement ∃y∀x U(x,y) mean?A. For all y, there exists an x such that U(x,y) is trueB. There exists a y such that for all x, U(x,y) is trueC. For all x and y, U(x,y) is trueD. There exists an x such that for all y, U(x,y) is true7. What does the nested quantifier ∀y∃x V(x,y) mean?

A. There exists an x such that for all y, V(x,y) is trueB. For all y, there exists an x such that V(x,y) is trueC. There exists a y such that for all x, V(x,y) is trueD. For all x, there exists a y such that V(x,y) is true8. What does the statement ∃x∀y W(x,y) mean?A. For all x, there exists a y such that W(x,y) is trueB. There exists a y such that for all x, W(x,y) is trueC. For all x and y, W(x,y) is trueD. There exists an x such that for all y, W(x,y) is true9. What does the nested quantifier ∀y∃x X(x,y) mean?A. There exists an x such that for all y, X(x,y) is trueB. For all y, there exists an x such that X(x,y) is trueC. There exists a y such that for all x, X(x,y) is trueD. For all x, there exists a y such that X(x,y) is true10. What does the statement ∃y∀x Y(x,y) mean?A. For all x, there exists a y such that Y(x,y) is trueB. There exists a y such that for all x, Y(x,y) is trueC. For all x and y, Y(x,y) is trueD. There exists an x such that for all y, Y(x,y) is true.

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The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.

To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).

The dilation factor between D(6, 9) and A(8, 12):

First, we need to find the change in x-coordinates and y-coordinates:

Δx = 8 - 6 = 2

Δy = 12 - 9 = 3

Next, we calculate the dilation factor:

k = Δy / Δx = 3 / 2 = 1.5

The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.

Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.

the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

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The five-number summary for the given data set is: Minimum: 19.5, Q1: 51.4, Q2 (Median): 54.5, Q3: 56.6, Maximum: 58.3

To calculate the five-number summary for the given data set, we need to find the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum.

1. Arrange the data in ascending order:

19.5, 23.2, 50.1, 52.7, 52.9, 54.5, 55.6, 55.6, 57.6, 58.3, 58.3

2. Obtain the minimum:

The minimum value is 19.5.

3. Obtain Q1 (the first quartile):

Q1 is the median of the lower half of the data set.

In this case, we have 11 data points, so the lower half consists of the first 5 data points:

19.5, 23.2, 50.1, 52.7, 52.9

To obtain Q1, we need to calculate the median of these data points:

Q1 = (50.1 + 52.7) / 2 = 51.4

4. Obtain Q2 (the median):

Q2 is the median of the entire data set.

In this case, we have 11 data points, so the median is the middle value:

Q2 = 54.5

5. Obtain Q3 (the third quartile):

Q3 is the median of the upper half of the data set.

In this case, we have 11 data points, so the upper half consists of the last 5 data points:

55.6, 55.6, 57.6, 58.3, 58.3

To obtain Q3, we need to calculate the median of these data points:

Q3 = (55.6 + 57.6) / 2 = 56.6

6. Obtain the maximum:

The maximum value is 58.3.

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The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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Answer:

25÷2=12.5

Step-by-step explanation:

you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer

Answer: 12.5

\(\frac{25}{2} =12.5\)

\(\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5\)

The like terms in the polynomial are:

−3y⁴ and 7y⁴

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Like terms are the terms that contain the same variable which is raised to the same power.

We have:

−3y⁴ − 3 + 4y⁵ + 7y⁴ + 8y⁷

Thus, the like terms in the polynomial are −3y⁴ and 7y⁴ because they contain the same variable which is raised to the same power.

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The highest common factor of 60 and 96 is 12.

The given numbers are 60 and 96.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

A factor tree is a technique that identifies the prime factors of any number. The list of prime numbers or prime factors that you would multiply together to produce a particular number is known as the prime factorization of that number.

The factors of 60 and 96 are

60 = 2×2×3×5

96 = 2×2×2×2×2×3

So, the common factors are 2×2×3

= 12

Therefore, the highest common factor of 60 and 96 is 12.

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The total amount of sales he must make should be of $20800.

Given is that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$26. Option B is a commission rate of 5​% on weekly sales

Assume that the amount of sales he needs to make is of ${x}. So, for same amount, we can write -

(26 x 40) = 5% of {x}

(26 x 40) = (5/100) x {x}

{x} = (26 x 40 x 100)/5

{x} = (26 x 40 x 20)

{x} = 26 x 800

{x} = 20800

Therefore, the total amount of sales he must make should be of $20800.

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The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

Using the distributive property would look like:

3(9m + 5p)

Then, solve it= 27m + 15p

Ms. Fullerton would order 27 markers and 15 packs of pencils a month later.

The value of z in the regular nonagon is 15.

A regular polygon is a polygon with congruent sides and equal angles.

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

Therefore, the regular polygon above is a nonagon because it has 9 sides. Therefore, the sum of interior angles of a nonagon is 1260 degrees.

Hence, all the angles of the regular nonagon are congruent.

9 m∠a = 1260 degrees

m∠a = 5z + 65

9(5z + 65) = 1260

45z + 585 = 1260

45z = 1260 - 585

45z = 675

divide both sides by 45

z = 675 / 45

Therefore,

z = 15

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Using proportions, the costs are given as follows:

a) Total Labor Cost: $2,505,600.

b) Total Product Cost: $1,950,000.

c) Total Cost = $4,455,600.

d) Cost per home = $461.77.

e) Cost per week = $99,013.33.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

45 weeks x 5 days x 8 hours x 58 per hour x (12 + 8 + 4 workers)

Hence:

Total Labor Cost = 45 x 5 x 8 x 58 x 24 = $2,505,600.

For item b, the product cost is the cost of the boards, hence:

(175 + 150 + 50 boards) x 5,200

Total Product Cost = 375 x 5,200 = $1,950,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 2,505,600 + 1,950,000 = $4,455,600.

For item d, the cost per home is found dividing the total cost by the 9,649 homes, hence:

Cost per home = 4455600/9649 = $461.77.

For item e, the cost per week is found dividing the total cost by the 45 weeks, hence:

Cost per week = 4455600/45 = $99,013.33.

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Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

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For all of the sections of questions, the answer would be 5.33 hours. Because all sections are having same ratio of initial and final amount and also the decay rate is same. This can be calculated by exponential decay model formula.

According to decay formula of exponential systems, we can write

\(Q =Qo e^{-kt}\)

where Qo is the initial amount and Q is the final amount.

k is the decay rate

and t is the time

Now, dividing both side by Qo we get,

\(\frac{Q}{Qo} = e^{-kt}\)

Since all the three section is having Q/Qo ratio same which is the half.

It means, Q/Qo = 0.5

Now, putting the appropriate values, we get

0.5 \(= e^{-0.13*t}\)

applying log natural (ln) both side, we get

㏑(0.5) = -0.13xt

-0.6931 = -0.13xt

t = -0.6931/-0.13

t = 5.33

Hence the time taken to decay half of its initial value with decay rate 13 percent is 5.33 Hour.

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Answer: 626

Step-by-step explanation:

Answer:89.6 (with line)

Answer:c

Step-by-step explanation:

Answer:

54 0r 42 I think

Step-by-step explanation:

Answer:

B, 54

Step-by-step explanation:

if we put this as ratios, the equation will look like this.

m/45=46/30-->we can solve it easily after this

30m=1620

m=54