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Liula [17]
3 years ago
12

I need help! Algebra 2 homework and please explain the work :) (Part 2)

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

3. 1/28

4. About 7.11%

Step-by-step explanation:

3.

Since two of the eight ads are by a local retailer, the probability of picking either one once is 2/8=1/4. However, the second time, since on of the ads has already been used and there are a total of 7 left, the new probability is 1/7. Multiplying these two together, you get 1/4*1/7=1/28.

4.

To find the probability, you need to find the area of the smaller triangle and the rest. The formula for the area of an equilateral triangle is \frac{\sqrt{3}}{4}a^2, meaning that the area of the big triangle is 56.25\sqrt{3} and the area of the little triangle is 4\sqrt{3}. \frac{4\sqrt{3}}{56.25\sqrt{3}}\approx 7.11\%. Hope this helps!

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There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?
anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

  • Where A is the initial amount, in this case, 7800g.
  • k is a constant that depends on the half-life.
  • t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) =  7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0
3 years ago
A rectangular field is 450 meters long and 300 meters wide. What is the area of the field in square kilometers?
rodikova [14]
First you multiply 450 m ×300 m= 135,000 m
Then you convert to Kilometers 135,000 ÷1,000= 135 Kilometers

So the answer is 135 Kilometers
7 0
4 years ago
Which is the correct graph for *<br> y&gt; 2х – 4<br> А)<br> ОА<br> Ос
user100 [1]

Answer:

your answer would be OA

Step-by-step explanation:

8 0
3 years ago
The figure shown has a parallelogram on top and a rectangle below it:
Verdich [7]

Area of a parallelogram = b×h
= 13.4×48.2
= 645.88 inches square
Area of rectangle = l×b
=7.3×48.2
= 351.86
Area of the figure = (b×h) + (l×b)
=645.88+351.86
= 997.74 inches square
Therefore, the answer is option C

5 0
3 years ago
Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old hous
MrRissso [65]

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house  is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

5 0
3 years ago
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