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vladimir1956 [14]
3 years ago
8

PLEASE PLEASE ANSWER THIS FOR ME I REALLY NEED TO UNDERSTAND IT

Mathematics
1 answer:
dexar [7]3 years ago
6 0

Answer:

See answers below for explanations (answers are in bold)

Step-by-step explanation:

<u>Problem 1 (Top left):</u>

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

<u>Problem 2 (Top right):</u>

Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer

<u>Problem 3 (Bottom left):</u>

We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2.  The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer

<u>Problem 4 (Bottom right):</u>

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

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Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas
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Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

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I hope this works for you!!

3 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZ help I will give brainliest for right answer!
lubasha [3.4K]
Got me there but i think its 325500
3 0
2 years ago
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A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a
GalinKa [24]

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease

4 0
3 years ago
Joe went shopping for holiday gifts for her family. She has a budget of $150. She has 15 people to purchase a gift for, but also
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$150 (budget) - $30 (spend on herself) = $120 (left)

120 / 15 = $8

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7 0
3 years ago
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio
MAXImum [283]

Rate of change of profit for this period is $2750 per month

<em><u>Solution:</u></em>

Given that,

Profit of $6500 in January and $17,500 in May

<em><u>To find: Rate of change</u></em>

Since,

January is the first month of the year (1) while May is the fifth month (5)

<em><u>Therefore, we get two points</u></em>

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

<em><u>The rate of change using the following formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Here from the points,

(x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)

<em><u>Therefore, rate of change is given as:</u></em>

m = \frac{17500-6500}{5-1}\\\\m = \frac{11000}{4}\\\\m = 2750

Thus rate of change of profit for this period = $2750 per month

8 0
3 years ago
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