Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.
Sodium-24 how much would be left after 8 days?Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.
Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.
Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.
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What is the name for a polygon with 4 sides
Answer: A. Quadrilateral
Step-by-step explanation:
The name for a polygon with 4 sides is a quadrilateral. Quadrilateral is a two-dimensional shape with four straight sides and four angles. The most common type of quadrilateral is the rectangle, which has four right angles. Other types of quadrilaterals include squares, parallelograms, trapezoids, and rhombuses.
Answer:
quadrilateral!!
Step-by-step explanation:
look at the beginning of the word, quad. Quad means 4 and is referring to a 4 sided figure.
The question is in the photo attached
Answer: 10,000
Step-by-step explanation: here's how I got my answer:
Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.
So, 1/2 * 10 =1/2
So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.
Given that the polynomial x² - 10x + 14 leaves the same remainder when divided by x + 2b orx + 2c where 3b - 2c = 0 and b # c . Find the values of b and c.
Step-by-step explanation:
please refer to the 3 pages of sketch for details
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
3 is divided by the difference of 4 and a number.
Answer:
Submit Answer
Il
DELL
******
attempt 1 out of 2
The given statement can be written as expression given by -
y = 3 ÷ (4 - x)
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the statement as -
"3 is divided by the difference of 4 and a number"
Assume the number to be {x}. Then, we can write the expression as -
3 ÷ (4 - x)
Let this expression is equivalent to {y}. We can write -
y = 3 ÷ (4 - x)
Therefore, the given statement can be written as expression given by -
y = 3 ÷ (4 - x)
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2. Construct Arguments Explain why -7 has a
greater absolute value than the absolute value
of 6.
5.-9
7.1-5
9. --
11.-1
Answer:
See below
Step-by-step explanation:
Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6
Find the slope of the line that passes through (4, 10) and (1, 11).
Answer:
-1/3
Step-by-step explanation:
Solve the equation Sin(X)=-1 on the interval [0,360)
Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).
What is trigonometry?The mathematical field of trigonometry investigates relationships between triangle sides and angles. Because every straight-sided form may be reduced to a collection of triangles, trigonometry is a fundamental concept in all of geometry. The relationships between trigonometry and other branches of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly intricate.
Here,
[tex]e^{x}[/tex] is a function that increases across all of space (d[[tex]e^{x}[/tex] ]/dx = [tex]e^{x}[/tex] which is never negative), it must be that so it must be that [tex]e^{u}[/tex] crosses y=1 just once, or at u = 0. To demonstrate this:
In[tex]e^{sinx}[/tex]= In 1
sin x = 0
And when x = "0, 0", "2", we would have that sin x = 0 in [0, 2"]. In general, we would then have that x = n, where n Z, because of the periodicity of sin (where n is an integer).
Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).
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3b. There is a line of bushes that grows along one side of Babajide's
backyard. He decides he doesn't need to buy fence for that side since there
are already bushes there. Based on that information, could you decide how
much total fencing Babajide needs? Explain why or why not.
On solving the provided question, we can say that we can assume that it is a rectangular backyard. Since no dimensions are provided therefore, neither volume nor area can be calculated.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we can assume that it is a rectangular backyard.
since no dimensions are provided therefore, neither volume nor area can be calculated.
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For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one time mailing fee of 5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?
Answer: $1794.28
Step-by-step explanation:
280*5.95= 1666
0.077*1666= 128.282
1666+128.282= 1794.282
We round cause its money
The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer
The total length of the two boards put together is 5ft 11in.
What is length?Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.
To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.
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HELLPPPP ASAP PLEASE I NEED HELP WHOEVER GETS FIRST GETS BRAINLIEST AND 100 coinss
This is a simple cross multiplication problem! Any time you're given a ratio and then the actual quantity of something, you can use cross multiplication to figure out the quantity of the other thing!
We know that the ratio of toads to frogmen is 7 : 2. We also know there were 98 actual toads. Therefore we can set up our equations!
[tex]ratio_{toads}=ratio_{frogmen}\\actual_{toads}=actual_{frogmen}\\\\7=2\\98 = x\\\\7x=196\\x=28[/tex]
The first two equations above everything is how you would have everything set up! The second equations under them are the numbers plugged in, and the rest is just simplification.
So, your final answer should be 28 frogmen!
a rectangular garden has length twice as great as it’s width. a second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. the secon garden has area of 70 square meters. what is the width of the two gardens?
The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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Match each equation with the type of conic section it
represents.
Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.
Define equation.
Expressions that equal one another are the building blocks of an equation. The equation 4x²+3x = 22. A equation is an equation that has at least two variables and depicts the relationship between them.
Here,
are the definitions of each equation:
1. x^2 + y^2 - 4x + 6y - 5 = 0
The x2 and y2 terms share the same scaling factor, despite the fact that this equation contains a bunch of other garbage (which is 1). This ought to be screaming "circle" to you.
2. x^2 - 6y = 0
The x term is squared, but the y term is not, which is an important distinction to make. A parabola is clearly indicated by this fact.
3. 4x^2 + 9y^2 = 1
This is the result of adding an x-squared and a y-squared phrase. That kind of sounds circular, but the results are scaled by those two coefficients. Additionally, they vary. So, a closed curve that resembles a circle but is slightly stretched out is what we're searching for. An ellipsis appears there.
4. 7x^2 - 9y^2 = 343
A few squared terms for x and y are present here. However, we are removing rather than adding to them. This denotes a hyperbola.
Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.
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any help please - Simplify the expression 3(x + 2) –5(2x + 1). Factorise the expression 12x –18y and 2x2–5x –3. (3+6=9)
Simplifying the expression, the answer would be -7x+1
Solution
3 (x+2) - 5 (2x+1)
3x + 6 - 10x -5
COLLECT LIKE TERMS
3x - 10x + 6 - 5
= -7x+1
1. choices : never. always. sometimes
2. choices: never. always. sometimes
3.choices: variables. coefficient. exponents
4:choices: variables. coefficient. exponents
5. choices: not closed. closed
please help
The product of f(x) and g(x) is always a polynomial. By the definition of
polynomials the product of polynomials is always a polynomial because
the coefficient are real numbers and the exponents are whole
numbers. Real numbers and whole numbers are closed under addition
and subtraction.
What is Polynomial?A polynomial is a mathematical expression involving a sum of powers in one or more variables (indeterminates) with coefficients, that is either a constant or the indeterminates (also called variables or x's). The most common examples are the quadratic equation, cubic equation, and so on. The degree of a polynomial is the highest power of the indeterminate in the polynomial. For example, a polynomial with three indeterminates to the power of 2 is said to have a degree of 2.
Here f(x) and g(x) are two given polynomial,
let f(x) = x+1 ang g(x) = x-1
f(x).g(x) = (x+1)(x-1).
f(x).g(x) = x²-1.
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How many days are in 800 hrs? Round your answer to the nearest tenth.
Answer:
800 hrs = 33.3 days
Step-by-step explanation:
1 day = 24 hours
800 hours = 800/24 = 33.33
Round to the nearest tenth:
33.3 days
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
10 gallons 4 quarts = ____ quarts
Please help
Refer to the diagram shown.
I need help with this please help me
What is the area of a circle with a diameter of 14 meters? Leave the answer in terms of π.
49π square meters
7π square meters
196π square meters
14π square meters
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
Given :
Diameter of circle : 14
Radius =14/2 = 7 meters
and
Using formula
Area= πr²
=> Area = π7²
=>Area = 22/7 * 7²
=> Area = 22*7
=> Area = 154 meter square or 49π meter square
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
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Answer: A the first one 49π square meters
Please help will mark Brainly
Answer:
Y less than
Step-by-step explanation:
What is the repeated addition of 9x0=
Answer:
The answer is zero
Step-by-step explanation:
Hope it helps
Y’all helppppp questions on the photo
The division expression is equivalent to the given expression is (13/ 3)/ (-5/6)
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given expression,
= 4 1/3 / (-5/6 )
= (13/3 )/ (-5/6)
= 13*6 / -15
= -26/5
By evaluating the other expressions to find its equivalent,
(13 / 3) / (-5/6)
= 13 * 6 / -15
= -26/5
Hence , the expression 4 1/3 / (-5/6 ) is equivalent to (13 / 3) / (-5/6) .
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The division expression is equivalent to the given expression is (13/ 3)/ (-5/6)
What is expression ?expression can be defined as with the minimum of two variables or numbers and at least one math operation.
What is division?Division is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and multiplication. The division operation is represented by the symbol ÷ or /, and it is the inverse operation of multiplication.
Given expression,
= 4 1/3 / (-5/6 )
= (13/3 )/ (-5/6)
= 13*6 / -15
= -26/5
By evaluating the other expressions to find its equivalent,
(13 / 3) / (-5/6)
= 13 * 6 / -15
= -26/5
Hence , the expression 4 1/3 / (-5/6 ) is equivalent to (13 / 3) / (-5/6) .
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1. The following information relates to YANET PLC for the year ended 31 December, 2021 The statement of profit or loss for the year ended 31 December, 2021 Birr (000) 55,000 35,100 19,900 Revenue (net sales) Less: Cost of sales Gross profit Total expense EBIT Less: Interest Profit before tax Less: tax Profit for the year Assets Non-current assets Current assets Inventory Receivables Statement of Financial Position as at 31 December, 2021 2000 (Birr 000) 15,330 Cash Total Current assets Total Asset Equity and liabilities Equity Share capital Retained earnings Total Equity Non-current liabilities Long term- Loan Current liabilities 1. Rate of return on total asset 2. Profit Margin ratio 3. Current ratio 4. Inventory turnover ratio 5. Account receivable turnover ratio 1,908 4,362 2021 (Birr 000) 17,190 7,000 4,100 12,070 7,830 1,560 6,270 1,645 12,745 29,935 7,700 6,515 14,215 9,940 5,780 Total liabilities 15,720 Total equity and liabilities 29,935 Required: A) Calculate the following ratios for 2021. 22% 4% 2.5:1 6,930 3,675 2,110 12,715 28,045 6 13 40% 6 7,700 4,905 12,605 Industry Average 9,450 5,990 15.440 28,045 6. Debt ratio 7. Times interest earned B) Based on the above industry average, suggest the company profitability, liquidity and use of financial gearing.
A) The ratios for 2021 are as follows:
Rate of return on total asset = (Profit for the year / Total assets) * 100 = (12,605 / 29,935) * 100 = 42%
Profit margin ratio = (Profit for the year / Revenue) * 100 = (12,605 / 55,000) * 100 = 22.9%
Current ratio = (Current assets / Current liabilities) = (17,190 / 7,700) = 2.23:1
Inventory turnover ratio = (Cost of sales / Inventory) = (35,100 / 3,675) = 9.58
Accounts receivable turnover ratio = (Revenue / Receivables) = (55,000 / 4,905) = 11.22
Debt ratio = (Total liabilities / Total assets) = (15,720 / 29,935) = 52.6%
Times interest earned = (EBIT / Interest) = (12,715 / 1,560) = 8.14
B) Based on the above industry averages:
profitability: the company's profit margin ratio of 22.9% is lower than the industry average of 40%, which suggests that the company's profitability is lower than the industry average.
liquidity: the company's current ratio of 2.23:1 is lower than the industry average of 2.5:1, which suggests that the company's liquidity is lower than the industry average.
use of financial gearing: the company's debt ratio of 52.6% is higher than the industry average of 6%, which suggests that the company is more heavily leveraged than the industry average.
In summary, the company profitability is lower than the industry average, liquidity is lower than the industry average, and the company is more heavily leveraged than the industry average.
What is a company's profitability?
A company's profitability refers to its ability to generate a profit and return on investment. It is a measure of how well a company is able to generate revenue, control costs, and manage its assets and liabilities. Profitability ratios are used to evaluate a company's financial performance and to compare it to other companies in the same industry. Some of the most common profitability ratios include:
Gross profit margin: measures the percentage of revenue that remains after accounting for the cost of goods sold. It's calculated by dividing gross profit by revenue.
Operating profit margin: measures the percentage of revenue that remains after accounting for all operating expenses. It's calculated by dividing operating profit by revenue.
Net profit margin: measures the percentage of revenue that remains after accounting for all expenses, including taxes and interest. It's calculated by dividing net profit by revenue.
Return on assets (ROA): measures how efficiently a company is using its assets to generate a profit. It's calculated by dividing net income by total assets.
Return on equity (ROE): measures how efficiently a company is using shareholder's equity to generate a profit. It's calculated by dividing net income by shareholder's equity.
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Sue ate one sweetie one day, and each afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?
on solving the provided question we can say that - by unitary method we have 12 days.
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Sue ate one sweetie one day,
Sue ate 12 sweetie 12 day,
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What is the value of l-14l
Answer:
Step-by-step explanation:
-140
The answer to |-14| is 14
In the School of ICT, one person in 80, on average, has blood of type O. If 200 student blood donors are taken at random, find an approximation to the probability that they include at least five persons having blood of type O. How many student donors must be taken at random in order that the probability of including at least one student donor of type O shall be 0.9 or more
The probability that they include at least five persons having blood of type O is given as follows:
0.1075 = 10.75%.
The number of donors needed so that the probability of including at least one student donor of type O shall be 0.9 or more is of 184 donors.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
n = 200, p = 1/80 = 0.0125.
The probability of less than five is given as follows:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).
Using a binomial distribution calculator, these probabilities are given as follows:
P(X = 0) = 0.0808. P(X = 1) = 0.2046.P(X = 2) = 0.2576.P(X = 3) = 0.2153.P(X = 4) = 0.1342.Hence the probability of less than five successes is given as follows:
P(X < 5) = 0.0808 + 0.2046 + 0.2576 + 0.2153 + 0.1342 = 0.8925.
Hence the probability of at least five is given as follows:
P(X >= 5) = 1 - P(X < 5) = 1 - 0.8925 = 0.1075.
The probability of at least one is given as follows:
P(X >= 1) = 1 - P(X = 0)
P(X >= 1) = 1 - (1 - 0.0125)^n.
This probability is of 0.9 when:
1 - (1 - 0.0125)^n = 0.9
(0.9875)^n = 0.1
log((0.9875)^n) = log(0.1)
nlog(0.9875) = log(0.1)
n = log(0.1)/log(0.9875)
n = 183.1.
Rounding up, at least 184 donors must be surveyed.
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Shana wants to buy a music player. She has $100 cash.
1. Can she afford a $79 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer:
Answer:
Yes
Step-by-step explanation:
A $79 unit plus HST will be 89.27
Find ALL the missing sides and angles of this triangle.
12
40°
A
B
90°
60°
50°
:: 40*
20°
#: 5.3
12
:: 6.4
#: 7.7
:: 9.2
#: 3.6
#: 8.5
Answer:
Step-by-step explanation:
sin40°=[tex]\frac{AC}{12}[/tex]
⇒AC=sin40°×12
⇒AC=7.713≈7.7
cos40°=[tex]\frac{AB}{12}[/tex]
⇒AB=cos40°×12
⇒AB=9.192≈9.2
as A=90°,B=40°
from A+B+C=180°
we can write C=180°-90°-40°
⇒C=50°
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
tysm! :)
If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.
What is a geometric sequence?In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:
x, 7x, 49x, 343x, .....
Check:
7/1 = 49/7 = 343/49 = 7 (proof).
Therefore, this is a geometric sequence.
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Complete Question:
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
arithmetic
geometric
both
neither