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Kryton -85 is a radioisotope of krypton that has a half-life of about 10.75years. This isotope is produced by the nuclear fission of uranium and plutonium in nuclear weapons and in nuclear reactors, as well as cosmic rays. An important goal of the Limited Nuclear Test Ban Treaty of 1963 was to eliminate the release of such radioisotopes into the atmosphere. At present, the activity of Krypton -85 in the atmosphere is about 135 mCi.




How much Krypton -85 will be present in the atmosphere after 12,532days?

Answer:

If f(-x) = f(x), f is even and is symmetric about y

If f(-x) = -f(x), f is odd and is symmetric about the origin

If [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], f is neither even nor odd and does not have symmetry

Step-by-step explanation:

As we discussed in one of the previous questions, if f(-x) = f(x), we have an even function. One basic example of an even function is x^2 since (-x)^2 = x^2. On the other hand, if f(-x) = -f(x), we have an odd function. One common example is x^3 since (-x)^3 = -x^3. What we have not been over yet is the symmetry of the functions. In order to do this, let's examine x^2 and x^3. x^2, which is an even function, is symmetric to the y-axis. The graph is a parabola that looks exactly the same on the left and the right of the y-axis.

On the other hand, x^3, which is an odd function, is not symmetric to the y-axis. On the other hand, it is symmetric to the origin. You can imagine that if you flipped y = x^3 across the origin, you would end up getting a graph that looks exactly the same.

A function that is neither even nor odd, meaning [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], one that is not odd or even, has no symmetry. It is not symmetric about the y-axis or the origin.

The complete question:

A baby's t-shirt requires 4/5 yards of fabric. How many t-shirts can be made from 48 yards? A book is on sale at a 30% discount. If the sales price is $28, what was the original price?

Charles is going to buy 3 computer tables for $390. If he pays the same rate, how much would it cost for 8 computer tables?

If your cell phone bill was $67.82 and you were charged a 7.5% late fee, how much will your total bill be?

Mrs. Margulis paid $125 to have her hair colored and cut. If she tips her hairdresser 15%, what is her total bill?

Macy's is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total be after applying the discount of 35%?

Sara's total bill exists the cost of the items bought smaller the amount of the 35% is $143.75.

The number of t-shirts that can be created from 48 yards exists at 60 yards.

The original price of the book exists $40.

The cost of 8 computer tables exists $1040.

My total bill would be $72.91.

Mrs. Margulis's total bill is $143.75

My total bill after involving the discount of 35% would be $80.93.

If one t-shirt requires 4/5 yards. The number of t-shirts that can be created with 48 yards can be specified by dividing 48 yards by 4/5 yards

48 yards ÷ 4/5 yards

48 x 5 / 4 = 60 shirts

The cost of the book existed decreased by 30%. This indicates that the sales price exists 70%(100 - 30%) of the original price.

Let p denote the original price. This equation can be utilized to describe the information in the question:

70% [tex]*[/tex] p = $28

0.7p = $28

p = $28 / 0.7

p = $40

To define the cost of 8 computer tables, the cost of one computer table contains to be decided first.

Cost of one computer table = cost of three tables / 3

$390 / 3 = $130

The cost of 8 computer tables = Cost of one computer table [tex]*[/tex] 8

$130 x 8 = $1040

The total bill exists as the sum of the cell phone bill and the late phone charge

$67.82 + ( 7.5% [tex]*[/tex] $67.82)

$67.82 + (0.075 [tex]*[/tex] $67.82 )

$67.82 + 5.09

= $72.91

Mrs. Margulis's total bill exists the sum of the amount she paid and the cost of her tip.

$125 + ( 15% [tex]*[/tex] $125)

$125 + (0.15 [tex]*[/tex] $125)

$125 + $18.75

= $143.75

Sara's total bill exists the cost of the items bought smaller the amount of the 35%

$124.50 - (35% [tex]*[/tex] $124.50)

$124.50 - (0.35 [tex]*[/tex] $124.50)

$124.50 - $43.58

= $80.93

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The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

The given parameters are:

Initial = 5200

Rate = 5%

Because the population by 5% every year, then the situation is a geometric sequence.

The common ratio is then calculated as:

Ratio = 1 + Rate

This gives

Ratio = 1 + 5%

Evaluate

Ratio = 1.05

Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

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The explicit formula for the sequence is an = 14-6(n-1)

This are sequence that has. a common difference that is the difference between the preceding and sthe explicit formula for the sequence is an = 14-6(n-1) is equal.

Given the following

a1 = 14

an = an-1 - 6

The nth term of the sequence is expressed as:

An = a+(n-1)d

an = 14+(n-1)(-6)

an = 14 -6n + 6

an = 14-6(n-1)

Hence the explicit formula for the sequence is an = 14-6(n-1)

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Answer:

[tex]\huge\boxed{\sf x = -2.5}[/tex]

Step-by-step explanation:

4x + 2 = -8

Subtract 2 to both sides

4x = -8 - 2

4x = -10

Divide 4 to both sides

x = -10/4

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

4x + 2 = - 8

Subtract 2 from both sides,

Subtract 2 from - 8 = - 10,

Divide both sides by 4,

____________________

A square is a plane shape that has an equal length of sides. The required answers to the questions are;

i. Yes, the area of a square and its length of sides are directly proportional.

ii. Yes, the perimeter and length of the side of a square are directly proportional.

A square is a plane shape that has an equal length of sides, with four internal right angles. The area of a square can be determined as:

Area = length x length

        = [tex](length)^{2}[/tex]

This implies that the value of area of a given square depends on the value of its length. So that the area and length of sides of a square are directly proportional.

If the value of its length increases, then the value of its area increases, viz-a-viz. Then the area and length of the sides of a square are directly proportional.

The perimeter of a square is the sum of the length of its individual sides. Thus, the perimeter of a square can be determined by:

perimeter = 4 x length

Thus the value of the length determines the value of its perimeter. If the length of its sides increases, so is that of the perimeter. Therefore, the length and perimeter of a square are directly proportional.

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Answer:

75

Step-by-step explanation:

Use PEMDAS (Perenthesis, Exponents, Multiply, Divide, Add, Subract)

45/5-6+24*3

9-6+24*3

9-6+72

3+72

75

Answer:

75

Step-by-step explanation:

PEMDAS:

45/5=9

24*3=72

9-6+72=75

The value of x when y =4 is 2

An inverse proportion is represented as:

k = yx

Where

k represents the constant of proportion

When y = 2, x = 4.

So, we have:

k =2 * 4

k = 8

Substitute k = 8 in k = yx

So, we have:

yx = 8

When y = 4, we have:

4x = 8

Divide by 4

x = 2

Hence, the value of x when y =4 is 2

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Answer:

Ok nice! Have Fun! Don't be scared it will be ok just face your fear and it will be fun. I never seen or been here. What is this amusement park called and where is it?

Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

[tex]S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23[/tex]

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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Answer:

3. increasing

4. decreasing

Step-by-step explanation:

well for graph 3 the values are increasing

and for graph 4 the values are decreasing

The solutions of the given quadratic equation is;  (1/4) + √7i/4 and  (1/4) - √7i/4

We are given the quadratic equation as;

2x² - x + 1 = 0

To solve this to find the root, we will use the quadratic formula which is given by;

x = [-b ± √(b² - 4ac)]/2a

Now, from the given quadratic equation, we can say that the values of a, b and c are;

a = 2; b = -1 and c = 1

Thus;

x = [-(-1) ± √((-1)² - 4(2 * 1))]/2(2)

x =  [1 ± √(1 - 8)]/4

x = [1 ± √(-7)]/4

x = (1/4) ± √7i/4

Thus;

x = (1/4) + √7i/4 and  (1/4) - √7i/4

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Answer:

22 cm.

Step-by-step explanation:

Volume =  πr^2 h  =  π 6^2 * 11

So to double the volume

Height will be 2*11 = 22 cm.

Answer:

50 in²

Step-by-step explanation:

→ Find the area of the square

5 × 5 = 25

→ Find the area of the triangle

( 0.5 × 5 × 5 ) = 12.5

→ Double the answer as there is 2 triangles

12.5 × 2 = 25

→ Add the areas together

25 + 25 = 50 in²

The slope of the line passing through the coordinates 8(0, 0) and (-2 , 1) is -1/2

The formula for calculating the slope of a line is expressed as

slope = y2-y1/x2-x1

Given the coordinate points (0, 0) and (-2 , 1), the slope is expressed as:

Slope = 1-0/-2-0

Slope = 1/-2

Slope = -1/2

Hence the slope of the line passing through the coordinates 8(0, 0) and (-2 , 1) is -1/2

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The slope of the line m is - 1 / 2.

The slope a line can be found as follows:

slope = m = y₂ - y₁ / x₂ - x₁

using (0, 0)(2, -1)

hence,

slope = - 1 - 0 / 2 - 0

slope = - 1 / 2

hence,

slope = - 1 / 2

Therefore, the slope of the line m is - 1 / 2.

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The graph above could be a graph of this exponential function: A. F(x) = 3.(1.2)^x.

Mathematically, the standard form of an exponential function is given by:

F(x) = ab^x

Where:

As a general rule, f(x) is an increasing function when b is greater than 1 (b > 1) and f(x) is a decreasing function when b is less than 1 (b < 1)

By critically observing the given graph, we can deduce that the initial value (a) is 3 and it's an increasing function (b > 1).

F(x) = 3.(1.2)^x

Thus, the graph above could be a graph of this exponential function F(x) = 3.(1.2)^x.

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The value of k in the polynomial is 3

The quotient is given as:

(x^2+5x+k)/(x+6)

The remainder is 9

Set the denominator to 0

x + 6 = 0

Solve for x

x = -6

This means that:

f(-6) = 9

So, we have:

(-6)^2 + 5(-6) + k = 9

Evaluate

6+ k = 9

Subtract 6 from both sides

k = 3

hence, the value of k is 3

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The area of the shaded region is 502.4 ft^2

The area of a circle is the space occupied by a circle in a two-dimensional plane. Alternatively, the space taken up inside the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, in2, etc. Area of a circle = πr2 or πd2/4 in square units, where (Pi) π = 22/7 or 3.14. Pi (π) is the ratio of the circumference to the diameter of any circle. It is a special mathematical constant.

It is given that inner diameter is 36 ft and width of the ring is 4 ft

We need to find the area of the shaded region

diameter of outer ring= d1=36+4+4 = 44 ft ,

diameter of inner ring= d2=36 ft,

r1=d1/2= 44/2 = 22 ft , r2=d2/2 = 36/2 = 18 ft

Area of shaded region = Area of Outer circle - Area of inner circle

= π r1^2 - π r2^2

= π ( 22^2 - 18^2 )

= 3.14 * 160

= 502.4 ft^2

Hence the area of the shaded region is 502.4 ft^2

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The area of the shaded region is 502.4 sq. ft.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The word "area" refers to a free space.

According to the question,

Diameter of inner circle = 36 ft.

Radius of inner circle = 36/2 ft. =18 ft.

As the width of the ring is 4 ft. , the diameter of the outer circle = 36+4+4= 44 ft.

Radius of outer circle = 22 ft.

Area of the shaded region = Area of outer circle - Area of inner circle

                                              = π(22)(22) - π(18)(18)

                                              = π(484 - 324)

                                              = 3.14 * 160

                                              = 502.4 sq. ft.

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Answer: [tex]y+4=\frac{7}{3}(x+8)[/tex]

Step-by-step explanation:

See attached image.

The function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.

The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%

An equation is an expression that shows the relationship between two or more numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.

The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%

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Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

Hyperkalemia is what is more likely to occur due to the results of the conditions.

This is used to refer to the condition where there is too much of potassium in the blood of a person.

The side effects is that the person would feel tiredness, weakness and he would feel abnormal heart beat.

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The given statement is false. The option for the reason is the first option:

" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

A system of linear equations is a grouping of one or more linear equations with the same variables.

A linear system solution is the assignment of values to variables in such a way that all of the equations are concurrently fulfilled.

For a system of equations, three types of solutions exist:-

Thus, the given statement is false. The option for the reason is the first option:

" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

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The question is incomplete. For the complete question, check the attachment.

Answer: [tex]y+4=-\frac{1}{3}(x+6)[/tex]

Step-by-step explanation:

The slope of the given line is 3, so the slope of the line we want to find is -1/3.

Substituting into point-slope form, we get the equation of the line to be

[tex]y+4=-\frac{1}{3}(x+6)[/tex].

The sum height of men and women is 139600 and 161000 inches respectively. Their mean height is 66.8 inches and the average of their mean is 67.1 inches.

Number of women =2500

Mean height of women = 64.4 inches

So, the total height of 2500 women = 64.4*2500 = 161000 inches

Number of men=2000

Mean height of men = 69.8 inches

So, the total height of 2000 men = 69.8*2000 = 139600 inches

Therefore, the sum height of all 4500 people = 161000+139600 =b

So, their mean height = 300600/ 4500 = 66.8 inches

The sum of mean height of men and women = 64.4 + 69.8 = 134.2 inches

Hence, The average of their mean = 134.2/ 2= 67.1 inches.

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Answer:

20 units

Step-by-step explanation:

The school building's actual length is 40 m.

Length exists as a measure of distance. In the International System of Quantities, length exists as a quantity with dimension distance. In most systems of measure a base unit for length is selected, from which all other units exist derived. In the International System of Units system, the base unit for length exists as the meter.

Given: School building length is given 40 cm on the map

scale used is 1 cm = 1 m

The scale utilized exists 1 cm = 1 m

1 cm in map = 1 m in actual

⇒ 40 cm in map = 40 m in actual

School building length in map = 40 cm

⇒ Actual Length of the school building is 40 m

Therefore, the school building's actual length is 40 m.

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