Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
Answers
The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.
How do you define the scientific notation?To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.
The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.For the given value;
= 49,000 grams
write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10
= 4.9000 × 10⁴
This could be written as;
= 4.9 × 10⁴.
Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.
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Related Questions
a. Name four other tractions shown here that are equivalent to 9/12
Answers
Answer:
3/4 75/100 12/16 24/32
Step-by-step explanation:
9/12 is the equivalent of 75% and fractions that express the same proportions.
A binomial random variable has n = 10 and p = 0.4 The mean of this binomial random variable is? a. 4. b.6 c. 2.4 d. 0.4 e. 10
Answers
The mean of a binomial random variable with n = 10 and p = 0.4 is 4, which represents the average number of successes in the given number of trials. the correct answer is option a. 4.
To find the mean of a binomial random variable, we multiply the number of trials (n) by the probability of success (p). In this case, we have n = 10 and p = 0.4.
The mean (μ) of a binomial random variable is given by the formula:
μ = n * p
Substituting the given values, we have:
μ = 10 * 0.4
Calculating this, we get:
μ = 4
Therefore, the mean of this binomial random variable is 4.
The mean represents the average number of successes in a binomial distribution. In this case, we have 10 trials with a probability of success of 0.4. So, on average, we can expect to have 4 successes.
To understand this intuitively, let's consider an example. Suppose we have 10 fair coins, and we flip each coin independently. The probability of getting a head (success) on each flip is 0.4.
The mean of 4 means that, on average, we would expect to get approximately 4 heads out of the 10 flips. This is because the probability of success (getting a head) is 0.4, and we have 10 trials (coin flips) in total. Therefore, The correct answer is option a. 4.
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What sort of monkeys makes the best wine
Answers
Determine whether the data described below are qualitative or quantitative and explain why.
The types of food served by restaurants (Italian, Chinese, fast, etc.) Choose the correct answer below.
A. The data are quantitative because they consist of counts or measurements.
B. The data are quantitative because they don't measure or count anything.
C. The data are qualitative because they don't measure or count anything.
D. The data are qualitative because they consist of
Answers
As per the statement the data are qualitative because they don't measure or count anything.
The term measurement in math is known as the process of associating numbers with physical quantities and phenomena.
Here we have the statement the types of food served by restaurants Italian, Chinese, fast, etc.
As we looking into the statement we have identified that the statement is defines the characteristics of the restaurant which is also defines that there is no value for counting in it.
So, this refers the quality of the product instead of quantity.
Which also defined that there is no measurement value in it.
Therefore, the correct option is (c).
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Which equation justifies why ten to the one third power equals the cube root of ten?
A. to the one third power all raised to the third power equals ten to the one third plus three power equals ten
B. ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
C. ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
D. ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
Answers
Answer:
B. (10^1/3)³ = 10 ^(1/3×3) =10
Step-by-step explanation:
I took the test on FLVS
Answer:
B
Step-by-step explanation:
can someone help me i listed the photo
Answers
Answer:
135
Step-by-step explanation:
This is a 8 sided figure. All of the interior angle measurements are the same. The sum of the interior angles can be found
by (8-2)(180) = 1080
or 180(8) - 360 = 1080 Both formulas give you the same answer.
\(\frac{1080}{8}\) = 135 All of the angles are equal. Take the total and divide it among the 8 angles.
12 people fit comfortably in a 5 x 5 foot square.use this value to estimate of a crowd that is 10 feet deep on both sides of the street along a 1 mil section of a parade route
Answers
Answer:
48 people
Step-by-step explanation:
It states that 12 people fit into a 5 x 5 ft² area.
Here, we are given the length and breath of the side, both 5 ft. And from that, we can estimate the area of the place.
Area of a square is gotten by multiplying both sides together, and thus
5 * 5 = 25 ft²
We are told 12 people fit into 25 ft². In order to get the number of people that fit a 10 x 10, we first need to calculate the area.
We already have the length and breadth to be 10 ft each, so
Area = 10 * 10 = 100 ft²
Now, we calculate.
If
12 people fit into 25 ft²
x people will fit into 100 ft²
If we cross multiply, we have
1200 = 25x
We then divide both sides by 25
x = 1200 / 25
x = 48
Therefore, 48 people will fit into a 10 x 10 ft area
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Answers
Answer: Uhhhhh no question...
Step-by-step explanation:
Answer:
heheheeheh
Step-by-step explanation:
a coating that weighs at least 2.00 mg is needed to impart adequate shelf life to a pharmaceutical tablet. a random sampling of 200 tablets revealed that 11 failed to meet this requirement. changes in the method used to coat the tablets lowered the percentage of rejects from 5.5% to 2.2%. how many tablets should be taken for inspection if the permissible relative standard deviation in the measurement is to be 20.%? tablets 14%? tablets 7%? tablets 3%? tablets
Answers
The number of tablets that should be taken for inspection if the permissible relative standard deviation in the measurement is to be
(a) 20.% is 324 tablets
(b) 14% is 181 tablets
(c) 7% is 78 tablets
(d) 3% is 32 tablets.
To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation (RSD) of 20%, we can use the following formula:
n = (RSD * mean)^2 / (variance * (1 - mean))
where n is the number of tablets that need to be inspected, RSD is the permissible relative standard deviation, mean is the proportion of tablets that fail to meet the requirement (in this case, 5.5%), and variance is the variance of the proportion of tablets that fail to meet the requirement.
Plugging in the given values, we get:
n = (20% * 5.5%)^2 / (0.0055 * (1 - 5.5%))
Calculating this expression gives us n = 324 tablets.
To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 14%, we can use the same formula, with the value of RSD set to 14%. This gives us n = 181 tablets.
To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 7%, we can use the same formula, with the value of RSD set to 7%. This gives us n = 78 tablets.
To determine how many tablets should be taken for inspection to achieve a permissible relative standard deviation of 3%, we can use the same formula, with the value of RSD set to 3%. This gives us n = 32 tablets.
It's important to note that these calculations assume that the proportion of tablets that fail to meet the requirement is 5.5%. If the proportion of tablets that fail to meet the requirement has changed (e.g., due to changes in the coating method), then the number of tablets that need to be inspected will also change.
The number of tablets that should be taken for inspection if the permissible relative standard deviation in the measurement is to be
(a) 20.% is 324 tablets
(b) 14% is 181 tablets
(c) 7% is 78 tablets
(d) 3% is 32 tablets.
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Kurt company purchased $5000 of merchandise from Marilyn company with terms of 2/10 n/40. What amount will Kurt company pay to Marilyn company if Kurt company takes advantage of the purchase discount?
Answers
If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.
To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.
The total amount of merchandise purchased is $5000.
To calculate the discount amount, we multiply the total amount by the discount percentage:
Discount amount = 2% of $5000 = 0.02 * $5000 = $100
Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.
The amount Kurt company will pay to Marilyn company is:
Total amount - Discount amount = $5000 - $100 = $4900
Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
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Discuss four applications of the capital asset pricing model (CAPM). (8 marks) Dzikunze Manufacturing Limited is considering to raise an extra Sh.10 million in order to finance an expansion programme. The company's current capital structure is given as follows: Additional information: 1. The company is considering raising the funds using two alternative financing options namely: Option t: To raise all the funds through the issue of new ordinary shares at par. Option II: To raise half of the funds through the issue of new ordinary shares at par and the balance through the issue of new 12% debentures at par. 2. The corporation tax rate is 30 s. Required: (i) Earnings belore interest and tax (FB|T) at the point of indifference in company's earnings for each financing option. (8 marks).
Answers
Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.
CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.
CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.
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It is as yet an unproven conjecture that there exist infinitely many pairs of primes that differ by two. These special prime numbers (e.g., 17 and 19, or 1019 and 1021) are sometimes known as "prime pairs" but are best known as what?
Answers
These special prime pairs are best known as "twin primes."
The question is about the unproven conjecture that there exist infinitely many pairs of prime numbers that differ by two, which are best known as a specific term. These special prime numbers, such as (17 and 19) or (1019 and 1021), are sometimes called "prime pairs" but they are best known as "twin primes."
Twin primes are the pairs of prime numbers that differ by a number of two, such as (3, 5), (5, 7), (11, 13), (17, 19), and so on. The conjecture that there are infinitely many twin primes is one of the oldest unsolved problems in number theory.
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below.
Use the two patterns
Add 20: 20, 40, 60,
Add 4: 4, 8, 12, .
Which is the relationship
between
corresponding terms in the patterns?
nattern
Answers
The relationship between corresponding terms in the patterns is that they are both increasing by a constant value. In the first pattern, each term is increased by 20, while in the second pattern, each term is increased by 4.
The first pattern, "Add 20," is an arithmetic sequence with a common difference of 20. This means that each term is found by adding 20 to the previous term. For example, 40 is obtained by adding 20 to 20, and 60 is obtained by adding 20 to 40.
Similarly, the second pattern, "Add 4," is also an arithmetic sequence with a common difference of 4. Each term is found by adding 4 to the previous term. For example, 8 is obtained by adding 4 to 4, and 12 is obtained by adding 4 to 8.
In summary, the relationship between corresponding terms in the two patterns is that they are both increasing by a constant value. The first pattern increases by 20, while the second pattern increases by 4.
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The relationship between corresponding terms in the patterns is that they are both increasing by a constant value. In the first pattern, each term is increased by 20, while in the second pattern, each term is increased by 4.
The first pattern, "Add 20," is an arithmetic sequence with a common difference of 20. This means that each term is found by adding 20 to the previous term. For example, 40 is obtained by adding 20 to 20, and 60 is obtained by adding 20 to 40.
Similarly, the second pattern, "Add 4," is also an arithmetic sequence with a common difference of 4. Each term is found by adding 4 to the previous term. For example, 8 is obtained by adding 4 to 4, and 12 is obtained by adding 4 to 8.
In summary, the relationship between corresponding terms in the two patterns is that they are both increasing by a constant value. The first pattern increases by 20, while the second pattern increases by 4.
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Connor is a 400m runner His median time is
Answers
Answer: 57.8
Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8
Help me please!!!!!!!!!!!!!!!!!
Answers
Answer:
69
Step-by-step explanation:
In which number does the digit 3 have a value that is ten times greater than the value of the digit 3 in the number 145,317
Answers
Answer:
Step-by-step explanation:
The value of the digit "3" in "156.32" is 3/10 (3 tenths). 10 times that value would be 3 (3/10 * 10 = 3). So now we need a number that has the digit "3" in it and the value of that digit is "3".
How about 143.26? The digit "3" is in the ones place and so its value is 3*1 or 3. The rest of the number is just made up, nothing special about any of the other numbers.
The value of digit 3 in 156.32 is 3/10 (3 tenths).
10 times that value would be 3 (3/10 * 10 = 3).
What is the value of digits?The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit's position in the number.
The place value of a digit depends on its position in the number.
So now we need a number that has the digit 3 in it and the value of that digit is 3.
How about 143.26. The digit 3 is in the one place and so its value is 3*1 or 3.
The rest of the number is just made up, nothing special about any of the other numbers.
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Please Help i need this right now Thanks
Answers
Use the distributive property to write an equivalent expression.
2(10t+6v)
Answers
Calculate product
Answer
20t+12v
Brainly pls
# Argentina22
Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
Answers
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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30 Willow trees are distributed over a geographic area consisting of 50 acres. what is the population density in terms of willow tree per acre?
Answers
Answer:
There is 1 tree per 1.6 acre.
Step-by-step explanation:
Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.
Answer:
0.6 acres.
Step-by-step explanation:
You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.
Can someone help me with this question please
I’ll mark you as a brainliest.
Answers
Answer:
I dont know what this is I'm so sorry if I did I would help you
I'm not sure about my answer but let me try.
5² + 12² = 169²
square root of 169 = 13 ft.
I'm a little bit confused because it mentions a square but the dimensions show that it's a rectangle.
Express the distance,d, from a point on the graph x+y=2 to the point (6,8) as a function of x
Answers
Answer:
\(d=\sqrt[]{2(x^2+36^{})}\)Explanation:
Given the equation of the line as;
\(x+y=2\)We can express y in terms of x by subtracting x from both sides of the equation;
\(y=-x+2\)Let the point on the line be P(x, y)
We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)\(\begin{gathered} d=\sqrt[]{(6-x)^2+(8-y)^2} \\ d=\sqrt[]{(36-12x+x^2)+\lbrack8-(-x+2)\rbrack^2} \\ d=\sqrt[]{(36-12x+x^2)+(6+x)^2} \end{gathered}\)\(\begin{gathered} d=\sqrt[]{(36-12x+x^2)+(36+12x+x^2)} \\ d=\sqrt[]{72+2x^2} \\ d=\sqrt[]{2(x^2+36^{})} \end{gathered}\)consider the function f(x,y)=−3xy2 3x36. f(x,y)=−3xy2 3x36. which graph below corresponds to the following traces:
Answers
The traces of f(x,y) in this case are given by fixing one of the variables and letting the other vary.
When y=0, f(x,y)=0 for all values of x. When x=0, f(x,y)=undefined for all values of y, since the denominator 3x³-6 cannot be zero. When y=1, f(x,y)=-3x/3x³+6, which simplifies to -1/(x²+2). This means that as x approaches positive or negative infinity, f(x,1) approaches zero, and as x approaches zero, f(x,1) approaches negative infinity. Based on these traces, the graph that corresponds to the function f(x,y) is the graph labeled B. This is because the traces indicate that the function has a horizontal asymptote at y=0, and vertical asymptotes at x=+-√(2). The graph in option B exhibits all of these properties, with a horizontal line at y=0 and two vertical lines at x=+-√(2). The other graphs do not exhibit the correct asymptotic behavior for the given traces.
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How many laps per minute
Minutes 0246
Laps 0 1 2 3
Answers
a pool with dimensions of 10 ft radius and 4 ft height fill with water at a rate of 20 gallons a minutes. about how many hours will it take to fill the pool if 1 cubic foot of water is about 7.5 gallons?
Answers
It will take approximately 7.85 hours to fill the pool.
To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.
The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.
V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet
Next, convert the volume to gallons using the given conversion factor:
1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons
Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:
9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes
Finally, convert the time to hours:
471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours
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The equation below is the equation of a line in point slope form, what is the x-
coordinate of the point?
y+5=—3 (x+6)
Answers
Answer:
Step-by-step explanation:
X=-x^2+x-5
whats 10.50x +64=300
Answers
Answer:
74.5
Step-by-step explanation:
in the example,-38+(-24)will be negative before finding the sum?
Answers
Answer:
-62
Step-by-step explanation:
HELP ME PLEASE i need help
Answers
9514 1404 393
Answer:
∠x = 30°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it subtends. Angle BAC is half the measure of arc BC.
Arc ABC is a semicircle, so measures 180°. Of that, arc AB is 120°, so the remainder, 180° -120° = 60° is the measure of arc AB.
Angle x is half that, or 60°/2 = 30°.
The measure of angle x is 30°.
3x+5y = 15 find the slope of a line perpendicular to each given line
Answers
Answer:
Slope = 5/3
Step-by-step explanation:
See attached image
