The cereal box below is being cut at the edges. Choose the net below that could be created from the box.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

1372 cm^3

Step-by-step explanation:

\(\frac{4}{3} (3)(7^3)=\frac{4}{3} (3)(343)=\frac{4}{3} (1029)=1372\)

Answer:

15

Step-by-step explanation:

26 = 2x - 4

2x = 26 + 4

2x = 30

x = 30 / 2

x = 15

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

This shape is a mix of triangle and semi-circle. The total area of this figure is  324.2 m².

Firstly we will calculate the area of the given right angle triangle. We have been given the base and hypotenuse and have to calculate the height of the triangle. We will apply the Pythagoras theorem.

Hypotenuse = 22m

Base = 15m

Hypotenuse² = Base² + height²

height² = Hypotenuse² - Base²

Height² = 22² - 15 ²

Height² = 484 - 225

Height² = 259

Height = √259

= 16.093 m

Area of right angle triangle = 1/2 × base × height

= 1/2 × 15 × 16.093

= 120.6975 m²

Now, we will calculate the area of the semi-circle whose radius is height of triangle which is 16.093 m.

Area of semi- circle = 1/4 × π × r²

= 1/4 × 22/7 × (16.093)²

= 1/4 × 22/7 × 259

= 203.5 m²

Total area of figure = area of triangle + area of semi circle

= 120.6975 + 203.5

= 324.1975

= 324.2 m²

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The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R =  ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

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Answer: Option 4 or D. SAS

Step-by-step explanation:  

Which congruence theorem can be used to prove ΔABR ≅ ΔACR?

D. SAS

Trust me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

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Answer:

The second one A = 1/2 bh

Step-by-step explanation:

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Based on the cashflows to projects A and B, the rate of return, and the period of investment, the project that should be picked by Rundle Enterprises based on net present value is Project A.

The project that should be picked based on Internal rate of return is Project A.

Project A's net present value is:

= Present value of cash flows - Initial cash expenditure

= (36,113 x present value interest factor for an annuity, 8%, 5 years) - 108,000

= 36,113 x 3.99271 - 108,000

= $36,188.74

Project B's net present value is:

= 9,612 x 3.99271 - 33,000

= $5,377.93

Project A should therefore be picked as it has the higher net present value.

The rate of return can be found using a spreadsheet as shown attached by using the IRR function.

Project A IRR is 20%.

Project B IRR is 14%.

The IRR rule calls for picking the project with a higher IRR which will be Project A.

Full question is:

Dwight Donovan, the president of Rundle Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of five years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $108,000 and for Project B are $33,000. The annual expected cash inflows are $36,113 for Project A and $9,612 for Project B. Both investments are expected to provide cash flow benefits for the next five years. Rundle Enterprises’ desired rate of return is 8 percent.

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Answer:

The targeted population is USA residents who died of heart disease.

Step-by-step explanation:

According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease."  This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not.  The main concentration for the study defines the targeted population.  It is this group of residents who died of heart disease that is the population of interest.  This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:

Calculating the absolute change:

Absolute change = Final value - Initial value

= 57.7 pounds - 67.8 pounds

= -10.1 pounds

Step 2: Calculate the relative change:

Relative change = (Absolute change / Initial value) * 100

= (-10.1 pounds / 67.8 pounds) * 100

≈ -14.9%

The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

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Answer:

look online and it will give u the answer

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

Answer:

True

Step-by-step explanation:

Answer is true, the degree of a function tells you at most how many zeroes the function can have.

Answer:

wadsa

Step-by-step explanation:

Answer:

Area of rectangle = 10 units²

Area of triangle = 10 units²

Area of figure = 20 units²

Step-by-step explanation:

Answer:

B. 75

Step-by-step explanation:

Note that we can get the equation \(45 = 60\% \cdot x\), where x is the total number of m&m's eaten. This becomes \(45 = \frac{60}{100}x \Rightarrow 45 = \frac{3}{5}x \Rightarrow x = 75\)

Given: cost of CAYMAN sleep couch with VAT is R2 699

cost without VAT is R1 999

2.1  To calculate the original price of the couch excluding VAT, we can use the following formula:

Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT

In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:

R2,699 / 1 + (15 / 100) = R2,346.96

2.2  To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:

Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT

In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:

R1,999 * (1 + (15 / 100)) = R2,299

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Answer:

Here to get the points thanks for recommending this ur so nice.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

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Answer:

150 hope this helps

Answer:

$0.6

Step-by-step explanation:

Divide 9 with 15, 9/15 = 3/5 = 0.6

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

Answer:

63 m/s

Step-by-step explanation:

h(3) = 3(3)² + 36(3) + 300 = 435

h(6) = 3(6)² + 36(6) + 300 = 624

v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s

Answer:

y=3/4x-9/2

Step-by-step explanation:

The expressiοn 5x(x²) is equal tο 5 * x¹ * x² (5 * x³ = 5x³). Thus, οptiοn (c) 5x3 is the cοrrect respοnse.

The cοefficients (the numbers in frοnt οf the variables) οf the expressiοn 5x(x²) can be multiplied, and the expοnents οf the variables can be added, tο determine the prοduct.

The first cοefficient we have is 5 times 1, giving us 5. Sο, using the secοnd x², we have x tο the pοwer οf 2 multiplied by x tο the pοwer οf 1 (frοm the first x). Expοnents are added when variables with the same base are multiplied. Sο, x¹ multiplied by x² results in x³.

Cοmbining all οf the parts, the phrase becοmes:

5x(x²) is equal tο 5 * x¹ * x² (5 * x³ = 5x³).

Thus, οptiοn (c) 5x³ is the cοrrect respοnse.

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The image point of P(x,y) = (-6, 1) after applying a horizontal reflection is P'(x,y) = (-4, 6).

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

P(x,y) - Original point

T(x,y) - Translation vector

P'(x,y) - Image point

If we know that P(x,y) = (-6, 1) and T(x,y) = (2, 5), then the image point is:

P'(x,y) = (-6, 1) + (2, 5)

P'(x,y) = (-4, 6)

The image point of P(x,y) = (-6, 1) after applying a horizontal reflection is P'(x,y) = (-4, 6).

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