HELP ASAP!!

Determine which pair of polygons are similar

HELP ASAP!! Determine Which Pair Of Polygons Are Similar

Answers

Answer 1

Answer:

Not similar

Not similar

Similar

Step-by-step explanation:

Similar Polygons

If two polygons are similar their:

corresponding sides are always in the same ratio.corresponding angles are the same size.

Pair of right triangles

If the given pair of right triangles are similar, their corresponding sides will be in the same ratio:

[tex]\implies 5:3=12:4=13:5[/tex]

[tex]\implies \dfrac{5}{3}= \dfrac{12}{4}= \dfrac{13}{5}[/tex]

[tex]\implies 1.67\neq 3 \neq 2.6[/tex]

Therefore, as the corresponding sides are not in the same ratio, the right triangles are not similar.

Pair of isosceles triangles

If the given pair of isosceles triangles are similar, their corresponding sides will be in the same ratio:

[tex]\implies 10:5=10:5=6:6[/tex]

[tex]\implies \dfrac{10}{5}=\dfrac{10}{5}=\dfrac{6}{6}[/tex]

[tex]\implies 2 =2 \neq 1[/tex]

Therefore, as the corresponding sides are not in the same ratio, the isosceles triangles are not similar.

Pair of rectangles

If the given pair of rectangles are similar, their corresponding sides will be in the same ratio:

[tex]\implies 1:2=5:10[/tex]

[tex]\implies \dfrac{1}{2}=\dfrac{5}{10}[/tex]

[tex]\implies \dfrac{1}{2}=\dfrac{5 \div 5}{10 \div 5}[/tex]

[tex]\implies \dfrac{1}{2}=\dfrac{1}{2}[/tex]

Therefore, as the corresponding sides are in the same ratio, the rectangles are similar.


Related Questions

Victoria's Secret gives you $10 off when you spend $50 on a purchase. The Body Shop gives you $11 off when you spend $55. Which deal is better?

Answers

well, 10 bucks off 50, can be written as a ratio of 10/50 and 11 bucks off 55 can be written as a ratio of 11/55, hmmm which is better or namely, which gives you more savings, the larger the fraction, the better the savings, let's check

[tex]\stackrel{\textit{Victoria's Secret}}{\cfrac{10}{50}\implies \cfrac{1}{5}}\hspace{5em}\stackrel{\textit{Body Shop}}{\cfrac{11}{55}\implies \cfrac{1}{5}} \qquad \textit{neither is better, both are equal}[/tex]

Question 4 (1 point)
Function 1: f(x) = 2x + 3
Function 2: The line passing through the points (2,4) and (3,9)
Which of these functions has the greater rate of change?
O a
Ob
OC
Od
Function 2, because the slope is 5 and the slope of function 1 is 2
Function 1, because the slope is 5 and the slope of function 2 is 2
Function 1, because the slope is 2 and the slope of function 2 is 1/5
Function 2, because the slope is 3 and the slope of function 1 is 2

Answers

Answer:

A. Function 2 because the slope is 5 and the slope of function 1 is 2.

Step-by-step explanation:

easy-peasy

JUSTIFY REASONING The owner of a juice stand wants to make a new juice drink. He would like to mix Tropical Breeze, t, and Kona Cooler, k, to make 10 quarts of a new drink that is 40% pineapple juice. Juice Drinks
Tropical Breeze 20% pineapple juice
Kona Cooler 50% pineapple juice


a. Make a table to help write a system of equations that the owner of the juice stand can solve to determine the amount of each drink he should use to make the new drink.



Tropical Breeze Kona Cooler Total
Amount of Juice (qt) t
k
10
Amount of Pineapple Juice (qt)
0.2t
0.5k
0.4
Part B
Fill in the blank question.
b. Solve the system and explain what your solution represents. Enter your solution as a decimal rounded to the nearest hundredth.

(
15.3
,
5.3
); The owner should mix
15.3
qt of Tropical Breeze and
5.3
qt of Kona Cooler.



c. Explain how you know your answer is correct.
qt (Tropical Breeze) +
qt (Kona Cooler) = 10 qt, so the total amount is correct, and 0.2(
qt) + 0.5(
qt) = 4 qt, so the amount of pineapple juice in the new drink is correct.

Answers

The solution of system of linear equations is (-5.3, 15.3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The system of equations for the given scenario are

t+k=10 ----------(I)

0.2t+0.5k=0.4 ----------(II)

From equation (I), we get t=10-k

Substitute t=10-k in equation (II), we get

0.2(10-k)+0.5k=0.4

2-0.2k+0.5k=0.4

0.3k=-1.6

k=-1.6/0.3

k=-5.3

Substitute k=-5.3 in equation (I), we get

t-5.3=10

t=15.3

Therefore, the solution of system of linear equations is (-5.3, 15.3).

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Graph the line that passes through the points (3, 4) and (-9, -4) and determine
the equation of the line.

Answers

The equation of line is y = ( 2/3 )x + 2 where the slope m = 2/3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 4 )

Let the second point be Q = Q ( -9 , -4 )

Now , the slope of the line is ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -4 - 4 ) / ( -9 - 3 )

Slope m = -8 / -12

Slope m = 2/3

Now , the equation of line is given by y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( 4 ) = ( 2/3 ) ( x - 3 )

On simplifying the equation , we get

y - 4 = ( 2/3 )x - 2

Adding 4 on both sides of the equation , we get

y = ( 2/3 )x + 2

Therefore , the value of A is y = ( 2/3 )x + 2

Hence , the equation of line is y = ( 2/3 )x + 2

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the movie theater sold 56 boxes of gummy bears during the week. at this rate ,how many boxes of gummy bears will the movie theater sell in a 6-week period?

Answers

Answer:

336 boxes of gummy bears.

Step-by-step explanation:

Easy! Multiply 56 by 6, and that will get you 336 boxes of gummy bears.

How you figure this out is multiplying 56 by 6 to get an answer of 336. Therefore the movie theater will sell 336 boxes of gummy bears in a six week period.

the radius of a circle is 4 inches
r=4

Answers

Answer:

Step-by-step explanation:

*
16
b
Answer: A =
Find the area of the shaded regions. Give your answer as a completely simplified
exact value in terms of 7 (no approximations).
B
cm
GRADE ANSWER
80°
2
9 cm
E
C
09

Answers

The area of the shaded regions is 18π cm²

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

Area of sector=θ/360⁰πr²

Here,  denotes radius of a circle.

Put r=9cm

Put θ=90⁰

Area of sector =18π cm²

Hence, the area of the shaded regions is 18π cm²

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Solve the following system:
4x+3y=-2 and 6y=-4-8x

Answers

The given system of equation has no solution.

What is system of equations?

Equations simultaneously, or a system of equations Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no guarantee of a solution even then.

Consider the given system of equations

4x + 3y = -2

6y = -4 - 8x

It can be written as,

4x + 3y = -2              ...(1)

8x + 6y = -4              ...(2)

Divide equation (2) by 2

⇒ 4x + 3y = -2           ...(3)

Subtract equation (1) and (3)

      4x + 3y = -2

 -    4x + 6y = -4

_________________

          0 + 0 = 0

Hence, the given system of equation has no solution.

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Tyler used 1 1/4 gallons of paint to paint 5/7 of a fence How many gallons will it take to paint the whole fence? Write a Multiplication equation and a division equation to represent this question, then find the answer. Show your reasoning.

Answers

Consequently, 0.5 gallons of paint are required to replace the lost fence.

For the entire fence, how many gallons will be required?

The amount of paint used to paint a section of a fence is the only piece of known information in the word puzzle. It is specified as,1  1/4 paint in gallons to paint 5/7 within the barrier.

We must determine how much paint is needed to paint the entire fence.

In this instance, the 2/7 fence's painting is lacking.

To paint the 5/7 fence, we employed:

[tex]$1 \frac{1}{4}=\frac{4 * 1+1}{4}=\frac{5}{4}$[/tex]  many gallons of paint. So, we establish a rule of three:

[tex]$\frac{5}{4}------------ > \frac{5}{7}$$x-------------------- > \frac{2}{7}$[/tex]

where "x" denotes the quantity of paint (in gallons) required to paint the fence that isn't there.

[tex]$x=\frac{\frac{2}{7} * \frac{5}{4}}{\frac{5}{7}}$$x=\frac{70}{140}=\frac{1}{2}=0.5$[/tex]

Therefore, for the missing fence, 0.5 gallons of paint are needed.

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Find the distance between (3, −2) and (2, −4).
The distance is
units.

Answers

Answer:

d = [tex]\sqrt{5}[/tex] units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, - 2 ) and (x₂, y₂ ) = (2, - 4 )

d = [tex]\sqrt{(2-3)^2+(-4-(-2))^2}[/tex]

  = [tex]\sqrt{(-1)^2+(-4+2)^2}[/tex]

  = [tex]\sqrt{1+(-2)^2}[/tex]

  = [tex]\sqrt{1+4}[/tex]

  = [tex]\sqrt{5}[/tex]

 ≈ 2.2 units ( to 1 decimal place )

last one please someone help me

Answers

Answer:

Step-by-step explanation:

In order to find the equation of a line, you must first find the slope and y-intercept point.

Remember, the equation for a line is.

y = mx+b

m = slope

b = y-intercept

To find slope

m = y2-y1/x2-x1

x1 , y1   x2, y2

(-3, 7)   (4, -7)

/ = divided by

Plug those values into slope equation

(-7 - 7)/(4 - (-3))

= -14/7

m = -2

so now we know the slope; -2

y = -2x+b

Now lets find b:

Plug in any point on the line, lets use (-3, 7)

-3 is x

7 is a y

y = mx + b

7 = (-2)(-3) + b

7 - 6 = b

b = 1

So the final equation is  

y = -2x + 1

Graph the system. graph y=3x-6/y=2/5x+5 What is the estimated solution of the system? Enter your answer in the blanks. Round each coordinate to the nearest integer. The lines intersect closest to the integer coordinates

Answers

Answer:

  (4, 7)

Step-by-step explanation:

You want a graph and the nearest integer solution for the system of equations ...

y = 3x -6y = 2/5x +5

Graph

A graph of the equations is shown in the attachment. The point with integer coordinates that is nearest the solution to the equations is ...

  (x, y) = (4, 7)

<95141404393>

Use the distributive property with factoring to find the equivalent expression. 12t + 30s = (2t + s)...

SOMEONE HELP ME LOL

Answers

To use the distributive property with factoring to find the equivalent expression, you can distribute the factors on the right side of the equation. In this case, we have:

12t + 30s = (2t + s)(6t + 15)

Using the distributive property, we get:

12t + 30s = (2t6t) + (2t15) + (s6t) + (s15)

= (12t^2) + (30t) + (6st) + (15s)

This is the equivalent expression.

For questions 3-4, the bar chart below shows the amount Henry's Café spends on
cleaning supplies each month. Use the bar chart to answer the following questions.
Cleaning bill ($)
100
90
40
20
10
0
Mar
Months
In which months did the café spend
less than $50 on cleaning supplies?
3
Nov
Dec
4
What was the largest amount spent
on cleaning supplies in any month?

Answers

a ) Jan, Feb, July, August & September are the months café spendless than $50 on cleaning supplies.

b ) On October the cleaning supplies spent about $80.

What is a bar chart used for?Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.One of the numerous methods for visualizing data so that the reader may easily spot patterns or trends is the use of bar charts. Discrete, continuous, or categorical data are typically organized into class intervals in bar charts.Bar graphs break the data into distinct bars and allow you to follow development over time. Follow the trend from left to right and explain whether it goes down, up, or remains the same to describe the graph.

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How do you find the number of complex roots in a polynomial?

Answers

Descartes rule of signs gives partial information. The rule says the number of real positive roots is less than or equal to the number of sign changes. For a polynomial with real coefficients the complex roots (which are not real) appear in conjugate pairs i.e., if a+ib
a
+
i
b
is a root then a−ib
a

i
b
is also a root. Since degree of polynomial is five therefore it has at least 1 real root. Thus number of complex root(s) (which are not real) is either 0, 2 or 4.

Geometry Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

[tex]4[/tex] is the length of the third side

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]a^{2} + b^{2} = c^{2} \\3^{2} + \sqrt{7 ^{2} } = c^{2} \\\ 9 + 7 = c^{2}[/tex]

Hence the length of the third side is,

[tex]\sqrt{16} = c\\4 = c[/tex]

Answer:

4 units

Step-by-step explanation:

Given triangle is a right-angled triangle. To find the unknown side, use Pythagorean theorem.

    Here the unknown side is the hypotenuse.

hypotenuse² = leg₁² + leg₂²

                       [tex]\sf =(\sqrt{7})^2+3^2\\\\=7 + 9 \\\\=16[/tex]

  [tex]\sf hypotenuse = \sqrt{16}[/tex]

                   [tex]\sf =\sqrt{4*4}\\\\= 4[/tex]

Susan had 1 1/2 hours to make cards. It takes her 1/3 of an hour to make one card how many cards can she make in the time she has?

Answers

By takin a quotient, we will see that she can make 4 complete cards in the time she has.

How many cards can she make on the time she has?

We know that Susan has (1 + 1/2) hours to make cards, and each card takes (1/3) of an hour to make.

To find the total number of cards that Susan can make, we need to take the quotient between the time she has and the time that takes making a single card.

Then we will get:

N = (1 + 1/2)/(1/3)

N = (1 + 1/2)*3

N = 3 + 3/2

N = 3 + 2/2 + 1/2

N = 4 + 1/2

So she can make 4 cards (and a half ) in the time she has left.

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cruz had 672.13 in his checking account and a check that he wrote to his landlord for 650.00 was just deposited. this will result of which if the following fees

Answers

Cruz had 672.13 in his checking account and a check that he wrote to his landlord for 650.00 was just deposited. this will result in none of this mentioned. Thus the correct answer is "none of the answer".

What is the landlord?

A landlord is a  person who refers to the owner of the land providing his property for rent to people by taking some charges.

Spending more money than you have in your bank account results in overdraft fees.

A  service fee is a cost that is gathered to cover services associated with a good or service that is being purchased.

ATM fees refer to charges applicable to the use of services related to ATM cards.

Therefore, none of the above is appropriate.

Step-by-step explanation:

Answer: None of the above

Step-by-step explanation:

Answer the question accordingly.

Answers

Answer:

A. -4, 0, 2

Step-by-step explanation:

The question is essentially asking for the x intercepts since x intercepts always occur when y = 0.

The scale factor of the graph is 1, so we can see that the x-intercepts are (-4, 0), (0, 0), and (2, 0).

The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.

Answers

If the perimeter of the rectangle field is 48 yards and the length is 6 yards more than the width , then the length of the field is 15 yards and width is 9 yards .

The Perimeter of the rectangle field is = 48 yards ,

let the width of the rectangle  field be = w yards ,

let the length of the field be = l yards ,

Given that the length is 6 yards more than width ,

So , According to the question  ,

⇒ l = w + 6 ,

the formula for the perimeter of the rectangle is = 2(l + w) ,

substituting the value of l = w + 6 ,

we get ,

2(w+6 + w) = 48 ,

2w + 6 = 24

2w = 18

w = 18/2 = 9 ,

So , l = 9 + 6 = 15 yards ,

Therefore , the length of the field is 15 yards and width is 9 yards .

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The length of the rectangle is 15 yards, and the width is 9 yards.

The perimeter of a rectangle is given to be 48 yards. This means that the sum of all four sides of the rectangle is equal to 48 yards. We can represent this mathematically as:

P = 2(l + w)

Where P is the perimeter, l is the length and w is the width.

In this case, we are told that the length of the rectangle is 6 yards more than the width, which we can represent mathematically as:

l = w + 6

We can substitute this value of l into our equation to find the width:

P = 2(w + 6 + w)

P = 2(2w + 6)

P = 4w + 12

48 = 4w + 12

36 = 4w

9 = w

We can now use this value of w to find the length:

l = w + 6

l = 9 + 6

l = 15

Therefore, the length of the rectangle is 15 yards, and the width is 9 yards.

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A scatter plot and trend line are shown. Which statement best explains whether the trend
line is a good fit for the data shown in the scatter plot?

The trend line is a good fit because the total
vertical distance between the line and the
points in the plot is small.
The trend line is not a good fit because the
number of points above and below the trend
line are not equal.
The trend line is a good fit because the line
passes through at least one point in the plot.
The trend line is not a good fit because there
is an outlier in the plot that does not follow the
patterns in the data.

Answers

Answer: A is correct

Step-by-step explanation:

Process of elimination:

A: The trend line is a good fit because the total

vertical distance between the line and the

points in the plot is small. This is the correct choice because all the other options have been eliminated.

B: The trend line is not a good fit because the

number of points above and below the trend

line are not equal. Trend lines are used to show the average slope of data meaning that the number of points above or below does not matter.

C: The trend line is a good fit because the line

passes through at least one point in the plot. It is possible to create a graph that uses a trend line that doesn't pass through at least one point.

D: The trend line is not a good fit because there

is an outlier in the plot that does not follow the

patterns in the data. Just because one point is a little farther away than others, does not mean that a trend line is not a good fit.

I left $4.50as a tip this was 18%of the bill before the tip how much was my bill before adding the tip

Answers

The amount of the bill is $25

How to determine the amount of the bill

From the question, we have the following parameters that can be used in our computation:

Tip amount = $4.50

Tip proportion = 18%

The above parameters means that

Tip amount = Tip proportion * the amount of the bill

Substitute the known values in the above equation, so, we have the following representation

18% * the amount of the bill = 4.50

So, we have

the amount of the bill = 4.50/18%

Evaluate

the amount of the bill = 25

Hence, the amount is $25

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76.8% of 203 toy robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.

Answers

The number of toy robots on the assembly line that will be approved by the quality-control inspector is 155.904 robots.

What is the number of robots approved?

Percentage of toy robots on an assembly line approved = 76.8%

Number of toy robots on an assembly line = 203

Number of toy robots on an assembly line approved = Percentage of toy robots on an assembly line approved × Number of toy robots on an assembly line

= 76.8% × 203

= 0.768 × 203

= 155.904 robots.

In conclusion, 155.904 robots will be approved on the assembly line by the quality-control inspector.

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Which question would most likely help you understand this excerpt from Adam Smith's book The Wealth of Nations?

Consumption is the sole end and purpose of all production; and the interest of the producer ought to be attended to, only so far as it may be necessary for promoting that of the consumer.
—Adam Smith, Scottish economist, philosopher, and author1

Answers

The question that would most likely help one understand this excerpt from Adam Smith's book The Wealth of Nations is, "how does self-interest result in societal benefit?"

How to illustrate the information?

The main argument of Adam Smith's The Wealth of Nations is that society benefits when each person pursues their own self-interest. He referred to this fulfillment's driving force as the "invisible hand."

"Consumption is the sole purpose of all production," said economist Adam Smith. It implies that the level of consumption affects the production of goods and services.

Adam Smith was one of the first thinkers of his era to assert that wealth is produced through labor that is productive and that people are driven by self-interest to make the best use of their resources. He argued that capital investments generated profits, and that capital is allocated to projects where the greatest profits can be realized.

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A water tank is built in the form of a right rectangular prism, with dimensions that measure 12.9 ft by 8.6 ft by 8.4 ft. How many cubic feet of water would it hold when it is full? Round your answer to the nearest tenth if necessary.

Answers

The volume of the rectangular prism is 931.9 cubic meters

What is Volume of Rectangular Prism

The volume of a rectangular prism is calculated by multiplying the length, width, and height of the prism together. For example, if a rectangular prism has a length of 5 cm, width of 3 cm, and height of 2 cm, then the volume of the prism is 5 x 3 x 2 = 30 cm³.

The dimensions given are 12.9ft, 8.6ft, 8.4ft

Volume of prism = length × width × height

volume of prism = 12.9 × 8.6 × 8.4

volume of prism = 931.896 cm³

Volume of prism ≅ 931.9 cm³

The volume is approximately 931.9 cubic meters

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Write the equivalent expression of 2/3(3x+21)

Answers

Answer:

2 / 9x + 63

Expand 2 / 3 (3x + 21)

Help with the question bellow

Answers

The average rate of change for each function over the interval 4 ≤ x ≤ 9 for each function is given as follows:

f(x): -3.9.g(x): -11.7.

Hence, the average rate of change of g(x) is three times that of f(x).

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input.

Function f(x) is defined as follows in this problem:

f(x) = -0.3x².

Hence, at x = 4 and x = 9, the numeric values are given as follows:

f(4) = -0.3(4)² = -4.8.f(9) = -0.3(9)² = -24.3.

Meaning that the average rate of change is of:

(-24.3 - (-4.8))/(9 - 4) = -3.9.

Function g(x) is defined as follows in this problem:

g(x) = -0.9x².

Hence, at x = 4 and x = 9, the numeric values are given as follows:

g(4) = -0.9(4)² = -14.4.g(9) = -0.9(9)² = -72.9.

Meaning that the average rate of change is of:

(-72.9 - (-14.4))/(9 - 4) = -11.7.

Which is three times the average rate of change for f(x).

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If x = 10, y = 5, and z = 11, what is the tangent ratio for g°? triangle acb, angle c is a right angle, angle b measures g degrees, angle a measures h degrees, segment ac measures x, segment cb measures y, and segment ab measures z

Answers

The tangent ratio for g degree is 2

Characteristics of a right triangle

The right triangle ACB has the following characteristics:

x is a representation of the angle's opposing side. The neighboring side to the angle g is represented by y.

The length of the leg directly across from the angle divided by the length of the leg directly next to the angle is known as the tangent ratio on an angle in a right triangle.

According to the question, we can write

Tangent of angle g, i.e., [tex]tan (g^{o})[/tex] = x/y = 10/5 = 2

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A parameter is a descriptive measure of some characteristics of the population.
True
False

Answers

The statement is false. A parameter is a descriptive measure of a whole population.

What is the different of parameter and statistic?

A parameter tells us about a whole population. It means that a parameter should be found to understand all the characteristics of a population. A population itself is the entire group that we want to study.

For example: A population mean. We take a class as the population. We asked them about age and found that the average age is 20. That is a parameter.

A statistic otherwise tells us about some parts of the population. It describes a sample. A sample itself is a small group taken from the population.

For example: A sample mean. We take some people of the class to interview their age. We found the average age is 21. This is a statistic.

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Suppose a sample of a certain substance decayed to 73.2% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance

Answers

The half-life of this substance is 150 days.

We need to find the time it takes for the substance to decay to 50% of its original amount. We can use the equation y = a(1/2)^(x/b), where a is the initial amount, y is the amount left after time x, and b is the half-life.

A sample of a certain substance decayed to 73.2% of its original amount after 300 days. Half-life can be calculated as follows:

Rearranging the equation, we get

x/b = log₂(y/a).

Plugging in the given values, we get

x/b = log₂(0.732/1)

= log₂(0.732).

Solving for x, we get

x = b*log₂(0.732)

= 300*log₂(0.732).

Since b is the half-life,

b = 300/log₂(0.732) = 150 days.

Therefore, the half-life of this substance is 150 days.

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