Please help!!
Here are Stages 1-4.
What stage will have closest to 1,000,000,000 circles?
Use a calculator if it helps you with your thinking.
Answers
1,073,741,824
Explanation:
2, 4, 8, 16
Multiplying by 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1,024
1,024 x 2 = 2,048
2,048 x 2 = 4,096
4,096 x 2 = 8,192
8,192 x 2 = 16,384
16,384 x 2 = 32,768
32,768 x 2 = 65,536
65,536 x 2 = 131,072
131,072 x 2 = 262,144
262,144 x 2 = 524,288
524,288 x 2 = 1,048,576
1,048,576 x 2 = 2,097,152
2,097,152 x 2 = 4,194,304
4,194,304 x 2 = 8,388,608
8,388,608 x 2 = 16,777,216
16,777,216 x 2 = 33,554,432
33,554,432 x 2 = 67,108,864
67,108,864 x 2 = 134,217,728
134,217,728 x 2 = 268,435,456
268,435,456 x 2 = 536,870,912
536,870,912 x 2 = 1,073,741,824
Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).
What is the circle?
A circle is a round-shaped figure that has no corners or edges.
In geometry, a circle can be defined as a closed, two-dimensional curved shape.
So, the calculation is:-
Now, Multiplying by \(2\)
\(2 * 2 = 4\)
\(4 * 2 = 8\)
\(8 * 2 = 16\)
\(16 * 2 = 32\)
\(32 * 2 = 64\)
\(64 * 2 = 128\)
\(128 * 2 = 256\)
\(256 * 2 = 512\)
\(512 * 2 = 1,024\)
\(1,024 * 2 = 2,048\)
\(2,048 * 2 = 4,096\)
\(4,096 * 2 = 8,192\)
\(8,192 * 2 = 16,384\)
\(16,384 * 2 = 32,768\)
\(32,768 * 2 = 65,536\)
\(65,536 * 2 = 131,072\)
\(131,072 * 2 = 262,144\)
\(262,144 * 2 = 524,288\)
\(524,288 * 2 = 1,048,576\)
\(1,048,576 * 2 = 2,097,152\)
\(2,097,152 * 2 = 4,194,304\)
\(4,194,304 * 2 = 8,388,608\)
\(8,388,608 * 2 = 16,777,216\)
\(16,777,216 * 2 = 33,554,432\)
\(33,554,432 * 2 = 67,108,864\)
\(67,108,864*2 = 134,217,728\)
\(134,217,728* 2 = 268,435,456\)
\(268,435,456 * 2 = 536,870,912\)
\(536,870,912* 2 = 1,073,741,824\)
Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).
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Related Questions
The number four letter combination that can be formed with the English alphabet is 26 to the fourth power. The number of six letter combination that can be formed is 26 to the sixth power. how many times more six letter combinations can be formed than four letter combinations.
Answers
The times more six letter combinations can be formed than four letter combinations will be 26² times.
How to calculate the scientific notation?It should be noted that scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper.
Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format. As a result, representing a few integers in their expanded form is challenging. As a result, we employ scientific notation.
In this case, the number four letter combination that can be formed with the English alphabet is 26 to the fourth power. The number of six letter combination that can be formed is 26 to the sixth power.
The number of times more six letter combinations can be formed than four letter combinations will be:
= 26^6 / 26^4
= 26^2
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Answer:
26^2
Step-by-step explanation:
5f/6 = 30
it's a two step equation
Answers
Answer:
f=36
Step-by-step explanation:
5f/6=30
5f=30(6)
5f=180
f=180/5
f=36
How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54.50 saved
• She will save $33.25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
Answers
Answer:
$1,052
Step-by-step explanation:
.................
Answer: 1,052
Step-by-step explanation: Okay so she has $54.50 saved right now and she wants to save $33.25 each week for the next 30 weeks so we're multiplying. 33.25x30= 997.5 plus the money she has right now is 997.5+54.50= 1,052
(PLEASE SOLVE THIS AND SHOW A PICTURE TOO)
Answers
Answer:
40/81
Step-by-step explanation:
1st step: Convert to improper fraction
2nd step: Swap places for second fraction and change the divide into multiply
3rd step: Multiply and simplify (if needed)
Pat can shelve a cart full of books in the library in 24 minutes and Kevin can do it in 30 minutes. How long will it take them if they work together.
Answers
Answer:
i mean 6 subtracting 54 adding
Step-by-step explanation:
i say this because well it says by themseves thats there time if they are working together you are reducing that time mathematically but it can also be addding in some way depending on whether the type of math problem.
Help me please
What is the value of the expression below when
x
=
4
x=4 and
y
=
2
y=2?
4
x
+
10
y
4x+10y
Answers
Answer:
36
Step-by-step explanation:
x=4
y=2
4x4 + 10 x 2= 16+20= 36
30. Solve for x: 7^/10 = 2, approximate to 4 digitsa. 6.325 b. 3.256 c. 3.265 d. 3.652 e. 3.562
Answers
• Solution
\(7^{\frac{x}{10}}=2\)
To solve for x, we take the logarithm of both sides.
\(\log 7^{\frac{x}{10}}=\log 2\)Applying the law of logarithm to the equation above;
\(\log a^b=b\log a\)\(\begin{gathered} \log 7^{\frac{x}{10}}=\log 2 \\ \frac{x}{10}\log 7=\log 2 \\ \text{Dividing both sides by log 7;} \\ \frac{x}{10}=\frac{\log 2}{\log 7} \\ \frac{x}{10}=\frac{0.3010}{0.8451} \\ \frac{x}{10}=0.3562 \\ \text{Cross multiplying the equation;} \\ x=0.3562\times10 \\ x=3.562 \end{gathered}\)Therefore, the approximate value of x is 3.562
The correct option is E.
I’m not sure how to do it I’ve done a similar question but I don’t get this one
Answers
The standard deviation for the given data is 5
What is Standard Deviation ?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Given that,
the data,
X Xₙ - X₀ (Xₙ - X₀)²
18 -7 49
21 -4 16
24 -1 1
24 -1 1
25 0 0
31 6 36
32 7 49
175 152
X₀ = 175/7 = 25
Variance = (Xₙ - X₀)²/(n-1)
= 152/(7-1)
= 25.33
Standard deviation = √Variance
= √25.33
= 5.03
Hence, the standard deviation is 5
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Whereas the prevalence of depression in japan is only 3 percent in the united state the prevalence is almost six times that:_________
Answers
The likely factor that impacts the discrepancy in the prevalence of depression between Japan and the United States is sociocultural factors,
Here,
Sociocultural factors refer to the social and cultural influences that shape the behavior and experiences of individuals within a society. Japan and the United States have different social and cultural contexts, which can contribute to differences in mental health outcomes such as depression.
In Japan, there are certain sociocultural factors that may play a role in the lower prevalence of depression. These factors include a strong emphasis on collectivism, social support networks, close-knit communities, and cultural practices such as mindfulness and meditation.
Additionally, Japan has a more collective-oriented culture that places value on harmony and conformity, which may help reduce stress and contribute to better mental health outcomes.
On the other hand, the United States has a different sociocultural context characterized by individualism, higher levels of stress, and a focus on personal achievement. These factors can contribute to higher rates of depression in the United States.
It is important to note that while sociocultural factors are likely to play a significant role, other factors such as genetic differences, rates of stress, and self-esteem can also contribute to the prevalence of depression, but they may not be the primary reasons for the discrepancy mentioned in the question.
Thus option A is correct,
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Complete question:
Whereas the prevalence of depression in Japan is only 3 percent, in the United States the prevalence is almost six times that, at 17 percent. Which of the following factors likely impacts this discrepancy?
a. sociocultural factors
b. genetic differences
c. lower rates of stress in Japan
d. higher self-esteem among people in Japan
What is the length of segment BC?
Answers
The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.
6 squared plus 8 squared is 100, which is 10 squared.
The answer is 10.
Answer:
C. 10
Step-by-step explanation:
The Pythagorean Theorem states that a² + b² = c²
a² can be found by multiplying 6 by 6, which is 36
b² can be found by multiplying 8 by 8, which is 64
36 + 64 = 100.
The square root of 100 is 10, you can double-check this because 10 x 10 = 100
Because of this, we know that the line segment BC is equal to 10
I hope this helps :)
Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answers
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
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How many ounces are equal to 7 pounds?
Answer: 112 ounces
Answers
Answer:
Why did you7 ask a question then anwser it yourself
Step-by-step explanation:
A cyclist rode at an average speed of 15 mph for 30 miles. how long was the ride? 0.5 hours 0.5 hours 1 hour 1 hour 2 hours 2 hours 3 hours
Answers
Answer:
2 hours
Step-by-step explanation:
Answer: 2 hours
Step-by-step explanation:
using the relationship distance = speed × time, the time = 2 hours
the sum of all frequencies in a frequency distribution should sum to
Answers
The relative frequency is the proportion of the total numbers in a data set corresponds to a specific class interval and hence summing over all the relative frequencies must add up to 1, or 100%.
Frequency Distribution Table:The frequency distribution table is made by building the class intervals of the raw data set, specifically when too many values are occurring many times; we group similar values in the same category, according to a pre-determined range of values. It is a two-column table in which the first column consists of class intervals and the second consists of the frequency corresponding to each interval.
The frequency distribution is made when the raw data is large and when the same number is repeated many times, that is where the concept of frequency comes into play.
Since, the frequency is the count of specific numbers in a data set, the sum of all frequencies corresponding to every class interval has to be the total number of values in the data set.
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The given question is incomplete, complete question is:
What is the sum of all frequencies in a frequency distribution? and why is the sum of all relative frequencies equal to 1?
Plssss helpppp!!! I’ll give brainliest
Answers
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
![Rewrite, using the distributiveproperty.16b-8b = ([?]-8)b = [?]b](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/9Tmzv11947B9UtnbF6DBvWJp63YQcon7.png)
Answers
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
What is the simplest form of the expression representing this product?.
Answers
Answer: its time for mathacmathists
Step-by-step explanation: i dont see it
A watch was bought for Rs 1200. At what labeled price should it be sold to gain 33.33% after 20% discount find SP with 13% vat olascout
Answers
Answer:
Lebeled Price of watch = Rs. 2000
Selling price pf the watch = Rs. 1600
Step-by-step explanation:
∴ S = L - 20% L∴ S = 0.8 L ..... (1)∴ S = P + (1/3)P∴ S = (4/3) P ..... (2)As we know, P = 1200∴ S (4/3) × 1200∴ S = Rs. 16001600 = 0.8L∴ L = 1600 ÷ 0.8∴ L = Rs.2000∴ Lebeled Price of watch = Rs. 2000Selling price pf the watch = Rs. 1600Complete the table.
starting elevation
(feet) change
(feet) final elevation
(feet)
A +200 75 up
B +200 75 down
C +200 200 down
D +200 +25
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.
Answers
Answer:
Step-by-step explanation:
Starting elevation of B = +200 feet
Change in elevation for B = 75 feet down
Final elevation of B = +200 - 75 = +125 feet
The addition equation for B can be written as:
Starting elevation + Change = Final elevation
+200 - 75 = +125
The number line diagram for B is as follows:
+------------------------+------------------------+------------------------+
A B C D
+200 +125 +225
<----- 75 ft ----->
(change in elevation)
i need help ! i will give u brainliest
Answers
Me Help ASAP or when everrr
Answers
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
HEY CAN ANYONE PLS ANSWER DIS!!!!!!
Answers
Convert 5 days into weeks. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
1 minute (min) = 60 seconds (sec) 1 week (week) = 7 days (days)
1 hour (hr) = 60 minutes (min)
1 month (month) = 30 days (days)
1 day (day) = 24 hours (hr)
1 year (year) = 365 days (days)
Answer:
weeks
Answers
Answer:
0.71 weeks
Step-by-step explanation:
To convert 5 days to weeks, we can use the conversion factor:
1 week = 7 days
Therefore, we have:
5 days = 5/7 weeks
Rounding to the nearest hundredth, we get:
5 days ≈ 0.71 weeks
Therefore, 5 days is approximately equal to 0.71 weeks.
4. Triangle RST below will be dilated with the
origin as the center of dilation and a scale
factor of 4. What will be the coordinates of
the vertices of the dilated image, AR'ST?
12
11
10
C.
9
8
7
RTS
0123456789101112
A. R'(4, 12), S'(12, 12), T'(8,4)
B. R'(4, 12), S'(9, 9), T'(8, 1)
R' (2, 6), S'(12, 12), T'(4, 2)
fallby
D. art
R(1, 2), S (1,1). T(1, 2)
Answers
The coordinates of the vertices of the dilated image, ΔR'S'T' include the following: A. R' (4, 12), S' (12, 12), T' (8, 4).
What is a dilation?In Mathematics and Geometry, a dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 4 centered at the origin as follows:
Ordered pair R (1, 3) → Ordered pair R' (1 × 4, 3 × 4) = R' (4, 12).
Ordered pair S (3, 3) → Ordered pair S' (3 × 4, 3 × 4) = S' (12, 12).
Ordered pair T (2, 1) → Ordered pair T' (2 × 4, 1 × 4) = T' (8, 4).
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find the first four terms of the taylor series for the function 2x about the point a=1. (your answers should include the variable x when appropriate.)
Answers
The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).
What are the initial terms of the Taylor series expansion for (2x) centered at (a=1)?To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:
\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)
Let's calculate the first four terms:
Starting with the first term, we substitute
\(\(f(a) = f(1) = 2(1) = 2x\)\)
For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).
\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)
\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)
Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)
Since the second derivative is zero, the third term is zero.
Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)
Similarly, the fourth term is also zero.
Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:
(2x + 2x - 2)
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Simplify the expression.
- 7 + 3 - 14 + 2
Answers
Answer:
-4 - 16
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
you just use a calculator lol :)
In a scalene triangle, the longest side is 5 less than triple the short side, the medium side is two more than the short side, and the perimeter is 17. What are the three side lengths?
Answers
Answer:
Long side: 7
Midium side: 6
Short side: 4
Step-by-step explanation:
17=(3x-5)+(x)+(x+2)
20=5x
4=x
twice a number is no more than 7 units from 13
Answers
2x = 20
2x = 6
x = 10 or x = 3
The table shows the number of cars and trucks that used a certain toll road on a particular day. The number of cars and trucks that used, and did not use, an electronic toll pass on that same day was also recorded.Toll PassCars Trucks TotalUsed537330867Did not use9046491553Total14419792420a) If one of these vehicles is selected at random, determine the probability that the vehicle is a car.b) If one of these vehicles is selected at random, determine the probability that the vehicle is a car, given that it used the toll passa) The probability that the vehicle was a car is(Round to four decimal places as needed.)
Answers
We are given a two-way probability table
Part a)
If one of the vehicles is selected at random, determine the probability that the vehicle is a car.
From the table, we see that the total number of cars are 1441
Also, the total number of vehicles is 2420
Then the probability of selecting a car is
\(P(car)=\frac{1441}{2420}=0.5955\)Therefore, the probability that the vehicle was a car is found to be 0.5955
Part b)
If one of the vehicles is selected at random, determine the probability that it used the electronic toll pass, given that it was a car.
This is a conditional probability problem.
The conditional probability is given by
\(P(used\: |\: car)=\frac{n(used\: and\: car)}{n(car)}\)From the table, we see that,
\(\begin{gathered} n(car\: and\: used)=537 \\ n(car)=1441 \end{gathered}\)So, the probability is
\(\begin{gathered} P(used\: |\: car)=\frac{n(used\: and\: car)}{n(car)} \\ P(used\: |\: car)=\frac{537}{1441} \\ P(used\: |\: car)=0.3727 \end{gathered}\)Therefore, the probability that it used the electronic toll pass, given that it was a car is found to be 0.3727
The probability that the randomly chosen vehicle is a car is 59.54 %.
The probability that the randomly chosen vehicle is a car given that it used the toll pass is 61.94%.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
The probability that the randomly chosen vehicle is a car is the total no of cars divided by the total no. of vehicles which is,
= 1441/2420.
= (1441/2420)×100%.
= 59.54 %.
The probability that the randomly chosen vehicle is a car given that it used the toll pass is the total no. of cars that used the toll pass divided by the no. of vehicles that used the toll pass which is,
= (537/867)×100%.
= 61.94%.
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A spinner is divided into 12 identical sectors and labeled 1 through 12. How many spins are expected for a multiple of 5 to be spun 22 times? Select from the drop-down menu to correctly complete the sentence. The spinner is expected to have to spin approximately Choose... times for a multiple of 5 to be spun 22 times
1. 68
2. 88
3. 110
4. 132
Answers
Using the binomial distribution, it is found that the spinner is expected to have to spin approximately 132 times for a multiple of 5 to be spun 22 times, hence option 4 is correct.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
\(E_f(X) = \frac{q}{p}\)
In this problem:
We want 22 successes, hence q = 22.2 out of 12 sections(5 and 10) are multiples of 5, hence p = 1/6.Then:
\(E_f(X) = \frac{q}{p} = \frac{22}{\frac{1}{6}} = 22 \times 6 = 132\)
Hence option 4 is correct.
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Answer:
132
Step-by-step explanation: I took the test