9)
10
22x - 2
8x + 2
A) 5
C) 8
B) 6
D) 2
I

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

Answer:

for every minute there has 4 miles gone bye or

1 min for every 4 miles.

Step-by-step explanation:

Answer:

$2.69

Step-by-step explanation:

We can divide the cost in dollars to the gallons of gasoline to find the rate of change.

16.14 / 6 = $2.69

21.52 / 8 = $2.69

24.21 / 9 = $2.69

32.28 / 12 = $2.69

53.80 / 20 = $2.69

This means that each gallon costs $2.69, in other words this is the rate o change.

Best of Luck!

a. The order of growth of a function is determined by the rate at which the output of the function increases as the input increases. In this case, the first function, n(n+1), increases at the same rate as n2, the second function, which is equal to 2000n2 to within a constant multiple. This means that n(n+1) and 2000n2 have the same order of growth (quadratic).

b. The second function, 0.01n3, has a higher order of growth (cubic) than the first function, 100n2 (quadratic). This is because the first function increases at a slower rate than the second function, as the input increases.

c. Logarithmic functions, such as log2 n and ln n, have the same order of growth to within a constant multiple. This is because the rate at which the output of a logarithmic function increases as its input increases is the same for all logarithmic functions. The only difference between different logarithmic functions is the base of the logarithm. This can be accounted for by using the formula loga n = loga b logb n, which states that any logarithmic function can be written as the product of two logarithmic functions of different bases.

d. Log22 n and log2 n2 have the same order of growth to within a constant multiple. This is because the rate at which the output of a logarithmic function increases as its input increases is the same for all logarithmic functions. The only difference between different logarithmic functions is the base of the logarithm, which can be accounted for by using the formula loga n = loga b logb n.

e. The second function, 2n, has a higher order of growth (exponential) than the first function, 2n-1 (polynomial). This is because the first function increases at a slower rate than the second function, as the input increases.

f. The second function, n!, has a higher order of growth (factorial) than the first function, (n-1)! (polynomial). This is because the first function increases at a slower rate than the second function, as the input increases.

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Answer:480

Step-by-step explanation:

To find volume u need to multiply height * width * length

Answer:

Well your trying to find meters per second.

So it’s a unit rate question.
In order to find the unit rate you divide the original by the newest.
In this case it’s (c) or -4.9/.71

Answer:

can you complate this heart

Answer:

They have 2 left

Step-by-step explanation:

3 2/3 - 2 1/2 = 1 1/1 = 2

The missing statement and the reason in the two-column proof:

EC = BC; property iof isosceles triangles

The corret answer is an option (A)

A two-column proof to show that AB/AD = BC/DC is:

        Statement                                        Reason

       ∠1 ≅ ∠2                                               given

       ∠1 ≅ ∠5                          alternate interior angles theorem

       ∠3 ≅ ∠4                                vertical angles theorem

ΔABD is similar to ΔCED                  AA similarity

  AB/AD = EC/DC                         property of similar triangles

        ∠2 ≅ ∠5                     substitution property of congruency

         EC = BC                          property iof isosceles triangles

        AB/AD = BC/DC               substitution property of equality

Therefore, the correct answer is an option (A)

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Find the complete question below.

a) The probability that exactly 7 out of the selected adults believe in​ reincarnation is 3.13%.

b) The probability that all of the selected adults believe in​ reincarnation is 0.00391 or 0.391%.

c) The probability that at least 7 of the selected adults believe in​ reincarnation is 0.0352 or 3.52%.

d)The answer must be (A.) No​, because the probability that 7 or more of the selected adults believe in reincarnation is less than 0.05.

Given:

The probability that adults believe in reincarnation, p= 50

q = 1 - 0.5 = 0.50

Using the binomial distribution,

P(X = r) = nCr× \(p^{r}\) ×q(n-r)

n = 4 , p = 0.5 and q = 0.50

a) when r = 7

P(X = 7) = 4C3× \(0.5^{7}\) ×0.50(8-7)

             = 0.00391

So For each of the 8 different ways, the probability will be the same

P = 0.0391 × 8

  = 0.0313

The probability that exactly 7 out of the selected adults believe in​ reincarnation is 3.13%.

b) This can only be true in one manner. This time, 0.5 increased to the eighth power represents the probability. Any specific combination of believers and nonbelievers will have the same likelihood.

The probability that all 8 would be believers is merely 0.00391 or 0.391% because there is only one possible scenario.

c) Either 7 or 8 believers is the same as "at least 7 believers". We may simply sum the probabilities of these two, which we recently estimated.

The probability that at least 7 of the selected adults believe in​ reincarnation is 0.0352 or 3.52%.

d) The answer must be (A.) No​, because the probability that 7 or more of the selected adults believe in reincarnation is less than 0.05.

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The complete question is: "Based on a​ poll, 50​% of adults believe in reincarnation. Assume that 8 adults are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below.

a. What is the probability that exactly 7 out of the selected adults believe in​ reincarnation?

b. What is the probability that all of the selected adults believe in​ reincarnation?

c. What is the probability that at least 7 of the selected adults believe in​ reincarnation?

d. If 8 adults are randomly​ selected, is 7 a significantly high number who believe in​ reincarnation?

A. No​, because the probability that 7 or more of the selected adults believe in reincarnation is less than 0.05.

B. Yes​, because the probability that 7 or more of the selected adults believe in reincarnation is greater than 0.05.

C. No​, because the probability that 7 or more of the selected adults believe in reincarnation is greater than 0.05.

D. Yes​, because the probability that 7 or more of the selected adults believe in reincarnation is less than 0.05."

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

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The solution of the inequality is option B (1 + 7/10) ≥ b

We want to solve the inequality: 7/2  ≥ b + 9/5

To do so, we just need to isolate the variable b.

7/2 ≥ b + 9/5

Subtracting 9/5 in both sides we will get:

7/2 - 9/5 ≥ b

35/10 - 18/10 ≥ b

17/10 ≥ b

(1 + 7/10) ≥ b

The correct option is B

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The absolute deviation of each of the data values are 4, 1 and 3 respectively.

The absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.

Absolute deviation = |value - mean|

Mean = 4

Absolute deviation of 0 = |0 - 4| = 4

Absolute deviation of 3 = |3 - 4| = 1

Absolute deviation of 7 = |7 - 4| = 3

Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.

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The median salary of the workers is P11,000.

In statistics, the median is a measure of central tendency that represents the middle value of a data set when the data set is ordered from least to greatest (or vice versa). If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values. The median is used as a measure of central tendency when the data set has outliers or is not normally distributed.

To calculate the median of a set of numbers:

In the given question,

To find the median salary of the workers, we need to arrange the salaries in order from lowest to highest.

The salaries are:

P9,000, P9,000, P10,500, P10,500, P11,000, P11,000, P11,000, P11,000, P12,500, P12,500, P12,500, P12,500

There are 12 workers, so the median salary will be the average of the 6th and 7th salaries when arranged in order.

Median salary = (P11,000 + P11,000)/2

= P11,000

Therefore, the median salary of the workers is P11,000.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Answer:

The probability that one marble drawn at random is not blue is 70%

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer:

AKevin = 9000(1 + 0.029)11

ACharles = 9000(1 + 0.055)11

Answer:

1) exponent

2) base

3) power

4) order of operations

5) algebraic expression

6) evaluating

7) like terms

8) variable

101 bags of sand are required to cover the path. Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

What is ratio?

If a and b are two values, their ratio will be a:b,

Given that,

Radius of garden r = 20 yards,

The width of path around the garden = 5 yards.

The area of garden = π×r² = π×20*20

The area of garden surrounded with path = π×25×25

Area of path = area of garden surrounded with path - area of garden

Area of path =  π×25×25-π×20*20

Area of path = 225π =225×3.14

Since, 1 bag of sand covers 7 square yards.

Total area is 225×3.14 square yards.

Number of bags = (225×3.14)/7 = 100.92 = 101 (approx.)

101 bags of sand are required to cover the path.

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Rounding to the nearest whole number, the predicted mass of the sample in 2003 is 82 milligrams.

To solve the problem, we can use the exponential decay formula:

N(t) = N0 * e⁽⁻ᵏᵗ⁾

where:

N(t) is the amount of the radioactive substance at time t

N0 is the initial amount of the radioactive substance

k is the decay constant

We can find the decay constant k by using the information given:

N(t)/N0 = (mass at time t) / (initial mass) = 160/330

N(t)/N0 = e⁽⁻ᵏ*⁵⁾ (since the measurement was taken 5 years after 1990)

Simplifying this equation, we get:

e⁽ᵏ⁵⁾ = 330/160

k5 = ln(2)

k = ln(2)/5

Now we can use this value of k to find the expected mass of the sample in the year 2003 (which is 13 years after 1990):

N(13) = N0 * e⁽⁻ᵏ*¹³⁾

N(13) = 330 * e⁽⁻ˡⁿ⁽²⁾*¹³/⁵⁾

N(13) ≈ 82

Therefore, the expected mass of the sample in the year 2003, to the nearest whole number, is 82 mg.

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The Probability of landing spinner on Blue is more likely than Red.

What is the Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Here, the probability of a spinner landing on red is 0.15 or 15%

The probability of the same spinner landing on blue is 0.45 or 45%

On comapring both the probabilities we can say that,

probability of a spinner landing on red < probability of spinner landing on blue

                 15 %    <    45 %

Thus, the Probability of landing spinner on Blue is more likely than Red.

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Answer:

A right circular cone has only one circular edge

Step-by-step explanation:

You're welcome.

the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

We are given an expression:

x² - x + y²

We need to find the value of the expression for x = 5 and y = - 2.

Now, substituting the values of x and y in the expression that is given to us, we get that:

x² - x + y²

( 5 )² - ( 5 ) + ( - 2 )²

Solving the squares of the numbers, we get that:

25 - 5 + 4

Simplifying to get the value of the expression, we get that:

= 24

Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

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Answer:

\(3 \sqrt{12}

3 Square root of (4×3)

3square root of (2²×3)

(3×2)Square root of 3

=6 square root 3

Answer:

Step-by-step explanation:

Volume = 12 × 18 = 216 in³

Answer:

Step-by-step explanation:

The square of 7 is:

\((7)^2=49\)

The difference x and square of 7 is:

\(x-49\)

Two times the difference of x and square of 7 is:

\(2(x-49)\)