Write 0.45 as a fraction.

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"

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Answer:

360 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 12 so the radius is 1/2  the diameter

r = d/2 = 12/2 = 6

V = pi (6)^2 * 10

V = pi (36)*10

V = 360 pi in ^3

We can approximate pi by 3.14

V =1130.4 in ^3

Or we can approximate pi by using the pi button

V =1130.973355  in ^3

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

9 and 3

Step-by-step explanation:

if we multiply 9 and 3 we get 27

also when we add 9+3= 12

Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

answer C

Step-by-step explanation:

because the plan view of a solid 3-D figure is the view from the top which would be 3 squares in a row which is exactly what is shown in answer C.

Answer:

D

Step-by-step explanation:

D is the answer because every part of the cube is formed from 2 horizontal cubes

Answer:

In 24 years.

Step-by-step explanation:

Let the sum of money be 100 which amounts to 200 ( doubles itself ) in 6 years time. Interest on 100rs. Is 100. Putting the following in simple interest formula. You get :

\(100=\dfrac{100\times R\times 6}{100}\\\\R=\dfrac{100}{6}\)

Now when 100 will become 5 times i.e 500 the interest will be 400rs.

Putting in simple interest formula:

\(400=\dfrac{\dfrac{100\times 100}{6T}}{100}\\\\T=\dfrac{2400}{100}\\\\=24\ yrs\)

So, in 24 years, it will become 5 times.

Answer:

\((x,y) = (-2,-3)\)

Step-by-step explanation:

Given

\(y = 3x + 3\\y =x-1\)

Required

Solve by substitution

Substitute \(x-1\) for \(y\) in the first equation

\(y = 3x + 3\)

\(x-1 = 3x + 3\)

Collect like terms

\(x-3x =1+3\)

\(-2x =4\)

Solve for x

\(x = -2\)

Substitute \(x = -2\) in the second equation

\(y = x -1\)

\(y = -2 -1\)

\(y = -3\)

So: the solution is:

\((x,y) = (-2,-3)\)

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

Answer:

27

Step-by-step explanation:

If n = 4, all we need to do is substitute the number into the equation.

6n + 3

= 6(4) + 3

= 24 + 3

= 27

I recommend checking out a few more problems like these to get the gist of it. You'll be using this a lot in the future! I recommend taking a look on Kahn Academy for more learning.

Good luck!

The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,

and 0.2.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

There are a total of 6 possibilities when rolling a die and of which three are even numbers.

P(rolling an even number is) = 3/6 = 1/2 0.5.

There are two possibilities when flipping a coin,

∴ The probability of getting a head is (1/2) = 0.5.

There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.

Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.

There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.

Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.

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Answer:

44/3

Step-by-step explanation:

V=L*W*H

WH=22/3

V=2*(22/3)

Answer: Functions: E, G; Non-functions: F, H

Step-by-step explanation:

The table of values represents a function if and only if each input only corresponds to only one output.

Answer:

see explanation

Step-by-step explanation:

Euler's formula states that the sum of the number of faces (F) and the number of vertices (V) of a polyhedra is equivalent to two more than the number of its edges (E) , that is

F + V = E + 2

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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Answer:

x = 5.83 inches

Step-by-step explanation:

Given that,

The base of a right triangle, b = 5 inches

Perpendicular distance of a right anged triangle, h = 4 inches

We need to find the value of x. x is the Hypotenuse of the triangle.

We can use the Pythagoras theorem to find it.

According to Pythagoras theorem,

\(H^2=b^2+h^2\)

H is Hypotenuse

\(H^2=3^2+5^2\\\\H^2=9+25\\\\H=5.83\ \text{inches}\)

So, the value of x is equal to 5.83 inches.

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

Answer:

C

Step-by-step explanation:

Use the vertex formula to find the x value of the vertex is. the vertex formula is -b/2a, with the formula ax^2+bx+c, -2/2(1/2), = -2 = x. Then plug the x value into the original and you get y=-8.

Answer:

3x + 14

Step-by-step explanation:

2 x 3x = 6x 2 x 7 = 14, 6x + 4x = 10x - 7x = 3x + 14

therefore its:

3x + 14

Answer:

3x+14

Step-by-step explanation:

4x+2(3x+7)-7x

4x-7x+2(3x+7)

-3x+2(3x+7)

-3x+(2*3x+2*7)

-3x+(6x+14)

-3x+6x+14

answer: 3x+14

Answer:The answer is 14x-25=115    (B)

Step-by-step explanation:

he bought a certain amount of shirts, each being 14 dollars. So 14(how ever many shirts)- 25(the coupon) = Sales price

Answer:

b. 14x-25=115

Step-by-step explanation:

14 dollars each and 25 discount

the "each" here means the cost per cloth is 14, and total cost of the clothes Marco buy will increase depend on the amount of clothes.

Thus, it is 14x

The 25 discount represent that NO MATTER how many clothes Marco purchase, he only gets a discount of 25.  It is a independent value.

Total clothes bought - discount = total amount of money spent.

Thus, it is 14x-25=115

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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To determine the result of the product of the polynomials, we will use the distributive property:

Using the distributive property, we get:

Simplifying the above result, we get:

Finally, adding like terms we get:

Answer:

A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

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Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

Answer: 1- 26%

Step-by-step explanation:

just divide 100 by 100 and remove the % sign :)