The amount of carbon -14 present in 9705 years will be approximately blank grams.

To find all the numbers up to 30 that have an odd number of factors, we need to determine the numbers that are perfect squares.

A number has an odd number of factors if and only if it is a perfect square. This is because factors of a number come in pairs, except for perfect squares.

Let's examine the numbers up to 30 and identify the perfect squares:

1^2 = 1 (odd number of factors)

2^2 = 4 (odd number of factors)

3^2 = 9 (odd number of factors)

4^2 = 16 (odd number of factors)

5^2 = 25 (odd number of factors)

Therefore, the numbers up to 30 that have an odd number of factors are 1, 4, 9, 16, and 25.

Note that the other numbers up to 30, such as 2, 3, 6, 8, 10, etc., have an even number of factors because they are not perfect squares.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

it should be 3e-3/2f=3/8

Step-by-step explanation:

you will multiply 1/2 to everything in the parenthesis

Answer:

the answer is 44 cecaeuju

Answer:

Step-by-step explanation:

Given the coordinate points (2, 6) and (5, 0)

We are to find the equation of the line passing through the points

The standard form of the equation is expressed as y = mx+c

m is the slope

c is the y intercept

Get the slope

m = y2-y1/x2-x1

m = 0-6/5-2

m = -6/3

m = -2

Get the intercept

Substitute m = -2 and the point (5, 0) into the equation y = mx+c

0 = -2(5) + c

0 = 10 + c

c = 10

Get the equation

Recall that y = mx+c

y = -2x + 10

Hence the required equation is y = -2x + 10

Statistics that allow for inferences to be made about a population from the study of a sample are known as inferential statistics.

Inferential statistics is a branch of statistics that deals with making inferences about a population based on information obtained from a sample. It involves estimating population parameters, such as mean and standard deviation, using sample statistics, such as sample mean and sample standard deviation.

The main goal of inferential statistics is to determine how reliable and accurate the estimated population parameters are based on the sample data. This is done by calculating a confidence interval or conducting hypothesis testing.

Confidence intervals provide a range of values in which the population parameter is likely to lie, whereas hypothesis testing involves testing a null hypothesis against an alternative hypothesis.

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Answer:

first your going to to change the number to look like this 1000÷ 49.712 and your answer is going to be 20.1158673962 or just 20.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

128

Step-by-step explanation:

Answer:

0.70710678 is 2 root 1/2 simplified

Step-by-step explanation:

\(Given that the line is \([x, y, z]=[1,-2,-1]+s[2,3,4]\) and the plane is \(x+2y-2z=5\).\)

To find the intersection point of the given line and plane, we need to substitute the value of x, y, and z from the line into the equation of the plane.

\(x + 2y - 2z = 5x = 1 + 2s, y = -2 + 3s and z = -1 + 4s\)

\(Now substitute the values of x, y, and z in the plane equation:(1 + 2s) + 2(-2 + 3s) - 2(-1 + 4s) = 5On\)

\( Solving the above equation we get, s = -1\)

\(Substitute the value of s in the equation of the line to get the intersection point:[x, y, z] = [1, -2, -1] + (-1) [2, 3, 4][x, y, z] = [-1, 1, -5]\)

\(Therefore, the intersection point of the given line and plane is \([-1, 1, -5]\).\)

Hence, option (d) is correct.

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The equation of a line `L` is `[x, y, z]=[1,-2,-1]+s[2,3,4]`. The point of intersection is (17/3, 2/3, -1/3). The correct option (b) is correct.

The equation of a line `L` is `[x, y, z]=[1,-2,-1]+s[2,3,4]`and the equation of a plane `P` is `x+2 y-2 z=5`.

We need to find the point of intersection between the line and the plane.

The equation of the plane is `x + 2y - 2z = 5`.  

Let's rewrite the equation in terms of `z` and write the equation of the line:

Plane: `x + 2y - 2z = 5`implies `z = (x + 2y - 5)/(-2)`

Line: `[x, y, z] = [1, -2, -1] + s[2, 3, 4]`

Substituting the line in the plane: x + 2y - 2[(x + 2y - 5)/(-2)] = 5

Simplify: x + 2y + x + 2y - 5 = -20y + 2x = -1x + 10y = 5

The system is represented by:`x + 2y - 2z = 5`and`x + 5y = 5

`Let's solve the system by substituting `x` in the equation of the plane:

x + 2y - 2z = 5implies x = 5 - 2y - 2z

Substituting: x + 5y = 55 - 2y - 2z + 5y

= 5-2y - 2z + 5y

= 5-2z + 3y

= 0y

= 2/3z

= -1/3x

= 5 - 2y - 2z

= 5 - 2(2/3) - 2(-1/3)

= 17/3

The point of intersection is (17/3, 2/3, -1/3)

The point of intersection is (17/3, 2/3, -1/3).

Hence, option (b) is correct.

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Add 11 to both sides:

-4=-2t

divide 2 by both sides

2=t

Hope it helps! Comment if you have any questions!

Answer:

t = -2

Step-by-step explanation:

Move all terms that don't contain t to the right side and solve

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

(x + 4)(x + 3)

Step-by-step explanation:

x^2 + 7x + 12

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

so we need two number that gives 12 when multiplied and 7 when added

4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12

=x^2 + (4 + 3)x + 12

=x^2 + 4x + 3x + 12

=x(x + 4) + 3(x + 4)

take (x + 4) as common

=(x + 4) (x*1 + 3*1)

=(x + 4)(x + 3)

Answer:

Yea you correct, you answer is right

282.040 cm³ of helium will be left in the balloon at the start of the tenth day. The sequence in this problem is neither arithmetic nor geometric.

To find out how much helium will be left in the balloon at the start of the tenth day, we need to calculate the remaining volume of helium after each day.

Let's denote the initial volume of helium as V₀ = 5000 cm³.

Since the balloon loses one fourth of its helium each day, the remaining volume after each day can be calculated as follows:

Day 1: V₁ = V₀ - (1/4) * V₀

Day 2: V₂ = V₁ - (1/4) * V₁

Day 3: V₃ = V₂ - (1/4) * V₂

...

Day n: Vₙ = Vₙ₋₁ - (1/4) * Vₙ₋₁

We can continue this calculation up to the tenth day:

V₁ = (3/4) * V₀

V₂ = (3/4) * V₁

V₃ = (3/4) * V₂

...

V₁₀ = (3/4) * V₉

Now, let's substitute the initial volume V₀ = 5000 cm³ into the equation to calculate the volume at the start of the tenth day:

V₁₀ = (3/4) * V₉

V₁₀ = (3/4) * ((3/4) * ((3/4) * ... * ((3/4) * V₀)))

Expanding this expression, we have:

V₁₀ = (3/4) * (3/4) * (3/4) * ... * (3/4) * V₀

Since we are multiplying (3/4) ten times, the expression becomes:

V₁₀ = \((3/4)^{10\) * V₀

Calculating this expression, we have:

V₁₀ = (59049/1048576) * 5000

V₁₀ ≈ 282.040 cm³

Therefore, approximately 282.040 cm³ of helium will be left in the balloon at the start of the tenth day.

Regarding the second part of the question, the sequence in this problem is neither arithmetic nor geometric. It involves a specific rule for each term that is not based on a consistent common difference or ratio.

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Answer:-

x=110 degree

Step-by-step explanation:

It's quadrilateral so it's total sum degree is 360

then 40+82+128+x=360

360-(128+82+40)=X

x=360-250

x=110 degree

Answer: 3/2

Step-by-step explanation:

Given

6/10 + 9/10

Add the numerator together

= (6 + 9) / 10

Simplify by addition

= 15 / 10

Simplify to simplest form by division

= (15 ÷ 5) / (10 ÷ 5)

= 3 / 2

Hope this helps!! :)

Please let me know if you have any questions

Hello there! The answer is:

3/2 OR  1 1/2

Step-by-step explanation:

With like denominators we can add the numerators.

6 + 9 = 15.

Then that answer over the denominator which gives us 15/10. Then simplifying the answer.

That gives us: 3/2 = 1 1/2

I hope this answer helps you out. Let me know if you have any questions/concerns.

Answer:

the top is 8x9 and the bottom one is 480, so 72/480. Therefore, she is correct

Answer:

72/480 =             /150

Step-by-step explanation:

Today : Monday, 03rd May 2021

07.41 PM

Answer:

5³

Step-by-step explanation:

\( \tt \orange{\frac{5^{6} }{ {5}^{3} } }\)

\( \green {= \tt {5}^{6 - 3} }\)

\( \blue{ \tt = {5}^{3} }\)

\(\pink{ \boxed{ \tt study \: with: {\pink{ \boxed{{\tt \colorbox {pink}{✿ \:aulia \: ✿}}}}}}}\)

Answer:

-2x-4

Step-by-step explanation:

We have to combine like terms in this expression. So, only -3 and -1 can be combined, and the same thing applies to 2x and -4x. If we add -3 and -1 as it says in the expression, that is -4. If we add 2x and -4x which is also in the expression, it is -2x. We can combine these two resulting terms to simplify the expression. The answer is -2x-4.

The solution to the initial value problem 2y'' - 5y' - 3y = 0, with initial conditions y(0) = -3 and y'(0) = 1, is given by \(y(x) = 2e^{3*x}-3e^{-x}\) The graph of the solution will exhibit exponential growth and decay.

To solve the given initial value problem, we assume the solution has the form \(y(x)=e^{rx}\) and substitute it into the differential equation. We obtain the characteristic equation:

\(2r^{2} - 5r -3 =0\)

Factoring the quadratic equation, we get:

(2r + 1)(r - 3) = 0

Solving for r, we find two distinct roots: r = \(-\frac{1}{2}\) and r = 3.

Therefore, the general solution to the differential equation is given by:

\(y(x) = c_{1} e^{1/2x} + c_{2} e^{3x}\)

To find the particular solution, we use the initial conditions. Applying y(0) = -3, we have:

c₁ + c₂ = -3          (Equation 1)

Next, we differentiate y(x) to find y'(x):

\(y'(x) = -\frac{1}{2} c_{1} e^{-\frac{1}{2x} } + 3c_{2} e^{3x }\)

Applying y'(0) = 1, we have:

\(-\frac{1}{2} c_{1} + 3c_{2} =1\)  (Equation 2)

Solving Equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the particular solution is:

\(y(x) = -2e^{(-1/2x)} - e^{3x}\)

Simplifying further, we get:

\(y(x)=2e^{3x}-3e^{-x}\)

The graph of the solution will exhibit exponential growth as the term \(2e^{3x}\) dominates and exponential decay as the term \(-3e^{-x}\) takes effect.

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Answer:

x=26

Step-by-step explanation:

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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