Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help meeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

I has the same measurements as E,G, and K and if I gave you an estimate it would be about 100° to 110°

By the binomial theorem,

\(\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}\)

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\(\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}\)

Answer:

b. y-int: (0,0), same as x-int

c. increasing: [0, ♾ ).  decreasing: (-♾, 0].  constant: DNE.

d. even since when the x-values is going to - ♾ and ♾, the y-values go up to ♾.

Step-by-step explanation:

the answer to your question is B.) 12x

To determine the sample size required to estimate the population mean with a 97% level of confidence and a margin of error of 0.20 lb., we need to use the formula:

n = (Zα/2 * σ / E)²

where:

n = sample sizeZα/2 = the z-score corresponding to the desired level of confidence (97% in this case) and can be found using a standard normal table or calculator.

level of confidence, Zα/2 is approximately 2.17.

σ = the population standard   deviation    (if known) or an estimate of it from a pilot study or a similar population.E = the margin of error, which is given as 0.20 lb. in this case.

Since we do not have any information about the population standard deviation, we can use a conservative estimate of 1 lb. for σ.

Plugging in the values, we get:

n = (2.17 * 1 / 0.20)² = 297.64

Rounding up to the nearest whole number, we need a sample size of n = 298 to be 97% confident that the sample mean is within 0.20 lb. of the true mean weight.

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The equation that defines "f"  for the amount of medicine in the blood stream is f(x) = 0.75ˣ * f(0).

The mathematical function known as exponential decay can be used to illustrate a quantity's progressive decline over time. The quantity that is lost or decays in each unit of time is proportionate to the amount that is still present, which is defined by a constant relative rate of change. Exponential decay is frequently seen in physical, chemical, and biological systems, where it explains the ageing of a population or the deterioration of radioactive isotopes, soil minerals, drugs, or nutrients over time.

The following equation to model the situation:

\(f(t) = f(0) * e^{(-kt)}\)

where, f(0) is the initial amount of medicine

\(f(t) = f(0) * e^{(-k*1)} = 0.75\\\\f(0) * e^{-k} = 0.75\\\\\)

Taking ln on both sides:

-k = ln(0.75 / f(0))

k = -ln(0.75 / f(0))

Substituting this value of "k" back into the equation for "f(x)", we get:

f(t) = f(0) * (0.75 / f(0))ˣ

Simplifying this equation further, we get:

f(t) = 0.75ˣ * f(0)

Therefore, the equation that defines "f" is f(x) = 0.75ˣ * f(0).

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The complete question is:

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The expression (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) simplies to -5.55 × 10⁻⁸. Option A. is the answer

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form

Given: (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸)

In order to simplify (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) rewrite one of the expressions so that the expressions will have the same power. Then, subtract. That is:

(2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) = (0.25 x 10⁻⁸) − (5.8 x 10⁻⁸)

                                      =  (0.25 − 5.8) × 10⁻⁸

                                      =  -5.55 × 10⁻⁸

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Applying the geometric theorem, the measure of y = 9.

The geometric theorem states that, h = √(ab), where h is the altitude of a right triangle, a nd b are the segments formed when the altitude divides the hypotenuse of a right triangle.

Thus:

y = altitude = ?

a = 3

b = 27

Substitute

y = √(3 × 27)

y = √81

y = 9

Therefore, applying the geometric theorem, the measure of y = 9.

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Answer:

all together there will be 44 legs

The height of the figure is 66 m².

Finding the triangle's height can be done in a variety of ways. There are numerous other formulas, but the one that uses a triangle's area is the one that is most widely used. You can determine the triangle's area given its sides using an equation known as Heron's formula. Once you are aware of the region, you can use the fundamental equation to determine the triangle's altitude.

You multiply 27.5 and 4.8. Which gets you 132. And because your finding the area of a triangle you have to divide 132 by 2 which gets you 66.

27.5 × 4.8

= 132

132/2

= 66

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The eigenvector corresponding to λ₃ = 4 is

v₃ = [x₃, x₃, 1]ᵀ

To determine the eigenvalues and corresponding eigenvectors of the coefficient matrix of the given system of differential equations, we start by writing the system in matrix form.

The system can be expressed as:

x' = Ax

where

x = [x₁, x₂, x₃]ᵀ represents the vector of dependent variables,

A is the coefficient matrix,

and x' denotes the derivative with respect to an independent variable (e.g., time).

By comparing the system with the matrix form, we can identify that:

A = [[2, 1, -1], [-4, -3, -1], [4, 4, 2]]

To find the eigenvalues and eigenvectors, we solve the characteristic equation:

|A - λI| = 0

where λ is the eigenvalue and I is the identity matrix.

Substituting the values of A and expanding the determinant, we have:

(2 - λ)(-3 - λ)(2 - λ) + 4(4 - 4(2 - λ) + 4(-4 - 4(2 - λ)) - 1(-4(2 - λ) - 4(-3 - λ))) = 0

Simplifying and solving the equation, we find three distinct eigenvalues:

λ₁ = -1, λ₂ = 0, λ₃ = 4

To determine the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI)x = 0 and solve for x.

For λ₁ = -1:

Substituting into (A - λI)x = 0, we have:

[3, 1, -1]x = 0

By choosing a free variable (e.g., x₃ = 1), we can solve for the remaining variables:

x₁ = 1 - x₃, x₂ = -1 + x₃

Therefore, the eigenvector corresponding to λ₁ = -1 is:

v₁ = [1 - x₃, -1 + x₃, 1]ᵀ

For λ₂ = 0:

Substituting into (A - λI)x = 0, we have:

[2, 1, -1]x = 0

By choosing another free variable (e.g., x₃ = 1), we can solve for the remaining variables:

x₁ = -x₃, x₂ = x₃

Therefore, the eigenvector corresponding to λ₂ = 0 is:

v₂ = [-x₃, x₃, 1]ᵀ

For λ₃ = 4:

Substituting into (A - λI)x = 0, we have:

[-2, 1, -1]x = 0

By choosing x₃ = 1, we can solve for the remaining variables:

x₁ = x₃, x₂ = x₃

Therefore, the eigenvector corresponding to λ₃ = 4 is:

v₃ = [x₃, x₃, 1]ᵀ

Now that we have the eigenvalues and eigenvectors, we can solve the system of differential equations. The general solution can be expressed as:

x(t) = c₁e^(λ₁t)v₁ + c₂e^(λ₂t)v₂ + c₃e^(λ₃t)v₃

where c₁, c₂, c₃ are constants determined by initial conditions.

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the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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Answer:

575 apples, and 500 rasberries

Step-by-step explanation:

15/6=2 1/2

230x2 1/2=575

200x 2 1/2 = 500

Answer:

The first one

Step-by-step explanation:

1/5 =0.20

0.20 * 4 = 0.8 feet

0.20 * 6 = 1.2 feet

Answer:

$3

Step-by-step explanation:

Bowling alley:

$22/ 1 hour group bowling + a fee to rent each pair of shoes

Ben bowling group:

$22 (for 1  hour)  +  5 pairs of shoes rented =  $37

What is the fee to rent each pair of shoes?

5 pairs of shoes rented =  $37 -$22

5 pairs of shoes rented =  $15

1 pair of shoes rented = 15/5 = $3

Answer: twenty-three . seven hundred fourty-nine

twenty-three = 23

seven hundred = .7

fourty = 4

nine = 9

Answer:27.78% ; Twi; 1/3

Step-by-step explanation:

Given the data :

Language - - - - - - - Number of students

Nzema - - - - - - - - - - - 5

Ga - - - - - - - - - - - - - - - 20

Twi - - - - - - - - - - - - - - - 30

Ewe - - - - - - - - - - - - - - - 25

Fante - - - - - - - - - - - - - - 10

1.) To prepare pie chart:

Total number of students :

(5 + 20 + 30 + 25 + 10) = 90 students

Nzema: (5/90) × 360 = 20

Ga : (20/90) × 360 = 79.99 = 80

Twi : (30/90) × 360 = 119.99 = 120

Ewe : (25/90) × 360 = 79.99 = 100

Fante : (10/90) × 360 = 39.99 = 40

Total = 360

Pie chart is attached in the picture below

2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%

Or (100/360) * 100 = 27.78%

3.) Modal language : This is the language spoken by majority of the students = Twi

4.) Fraction of student that speak either GA or Fante :

(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3

You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

1) 1037. The required sample size is 1037.

To find the sample size needed to estimate the percentage of adults who believe in astrology with a margin of error of 4 percentage points and a confidence level of 99%, we will use the formula for sample size calculation:

n = (Z^{2} * p * (1-p)) / E^{2}

Since we don't know the percentage (p) to be estimated, we assume p = 0.5 (which provides the most conservative estimate) and E = 0.04 (4%). The critical value (Z) for a 99% confidence level is 2.576.

Calculation steps:
1. Calculate (Z^{2} * p * (1-p)): (2.576^{2} * 0.5 * 0.5) = 1.662976
2. Calculate E^{2}: 0.04^{2} = 0.0016
3. Divide step 1 by step 2: 1.662976 / 0.0016 = 1037.48

Rounding up, the required sample size is 1037.

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Answer:

2x = -y

Step-by-step explanation:

Answer:

5x-2=2x-1

5x-2x=-1+2

3x=1

3/3x=1/3

x=1/3 or 1.3333...

Answer:

\(\dfrac{35}{9}\)

Step-by-step explanation:

\(3.\overline{8}\\\\=3+\dfrac{8}{9} \\\\=\dfrac{27}{9} +\dfrac{8}{9} \\\\=\dfrac{35}{9}\)

The perimeter of this triangular park is equal to: 3x² 37x - 4 feet.

Mathematically, the perimeter of a triangle can be calculated by using this mathematical expression:

P = a + b + c

Where:

P represents the perimeter of a triangle.

a, b, and c represents the length of sides of a triangle.

Substituting the given parameters into the perimeter of a triangle  formula, we have the following;

Perimeter of triangle, P = 12x + (15x + 4) + (10x + 3x² - 8)

Perimeter of triangle, P = 12x + 15x + 4 + 10x + 3x² - 8

Perimeter of triangle, P = 3x² 37x - 4 feet.

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Answer:

-------------------

Given sequence:

We can see each term is half the previous one, hence it is a GP with:

Its nth term is:

Answer:

A.

Line

Step-by-step explanation:

In geometry a straight line is defined as the shortest distance between any two given points. Using the concept of locus, a Line is defined as the locus of all points that are equidistant from two given points.

On the other hand, the locus definition of a circle is the locus of a point that moves at a fixed distance from a center point. This fixed distance is called the radius of the circle.

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an assumption that angles numbered the same are congruent.

\(\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3\) (alternate interior angles are congruent)

\(\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4\) (alternate interior angles are congruent)

\(\overline{AB} \cong \overline{CD}\)  (opposite sides of a parallelogram are congruent)

\(\triangle{ABO \cong \triangle{CDO}\)  (ASA - side/angle/side)

\(\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}\)  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

When 36 reindeer are chosen at random, the probability that the mean weight is less than 100 kg is 0.1492.

A standard error is the standard deviation of its sampling distribution or an interpretation of that standard deviation.

Given,

Mean of the weights = 102.4 kg

Standard deviation = 13.9 kg

To determine the probability that the mean weight of 36 reindeer will be less than 100 kg, first compute the standard error using the formula,standard error, \(\sigma_x=\frac{\sigma}{\sqrt{n}}\)

Where, \(\sigma\)=standard deviation

n= number of reindeer

substitute the values in the formula,

\(\sigma_x=\frac{13.9}{\sqrt{36}}\\\\\sigma_x=2.31667\)

Now,

\(P(x < 100)=P(x < \frac{100-102.4}{2.316})\\\\=P(z < -1.04)\)

from z-score table,

=0.1492

Thus, the probability the their mean weight is less than 100 kg is 0.1492.

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Your question is incomplete, here is the complete question.

The weight of male reindeer of the R. Santa Claus subspecies is normally distributed with mean 102.4 kg and standard deviation 13.9 kg

if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg?

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft