a fair coin is flipped twice. what is the probability that the coin will land heads up both times?answer options with 5 optionsa.0b.0.20c.0.25d.0.50e.1

Answer:

x ≥ -1 ≤ 4

Step-by-step explanation:

This would be your inequality.

Answer:

C. e = 8.1

Step-by-step explanation:

e-3.1= 5

e = 5+3.1

e = 8.1

To find the derivative of f(x) = √x - 2√(x+2), we can use the power rule and the chain rule.

Let's find the derivative of f(x) = √x - 2√(x+2).

Using the power rule, the derivative of √x is (1/2)x^(-1/2), and the derivative of -2√(x+2) is -2(1/2)(x+2)^(-1/2).

Differentiating each term separately, we have f'(x) = (1/2)x^(-1/2) - 2(1/2)(x+2)^(-1/2).

Now, let's find f'(5) by substituting x = 5 into the derivative function:

f'(5) = \((1/2)(5)^(-1/2) - 2(1/2)(5+2)^(-1/2)\)

= (1/2)(1/√5) - 2(1/2)(7)^(-1/2)

= (1/2√5) - (1/√7).

Therefore, the derivative function f'(x) is \((1/2)x^(-1/2) - 2(1/2)(x+2)^(-1/2)\), and f'(5) is (1/2√5) - (1/√7).

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

elevator descends 2 meters every 0.5 seconds

step by step solution

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

elevator descends 2 meters every 0.5 seconds for 9 seconds.

The equation in the slope-intercept form is:

y = 8 + (3/2)x

Herewe have the linear equation:

3x - 2y = -16

And we want to write it in the slope-intercept form.

To do that, we need to isolate the variable y.

We will get:

3x - 2y = - 16

-2y = -16 - 3x

y = (-16/-2) + (-3/-2)x

y = 8 + (3/2)x

That is the equation written in the slope-intercept form.

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Answer:

No.

Step-by-step explanation:

Because it is a decimal. Don't forget to thank me!!!

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

we can conclude that the correct formula for the area of the sector of a circle is (πr²S)/360.

In the given scenario, we are supposed to use the terms "uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector."Here, we are given that the area of the sector is given by the formula,A = (πr²S)/360, where A is the area of the sector, r is the radius of the circle and S is the angle measure of the sector.

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Answer:b

Step-by-step explanation:

Answer: The answer is 5^2+4^2

Step-by-step explanation:

I know this because i took the test and got a 100%

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

\(Speed = \frac{distance}{time}\)

Let s be the speed, d be the distance and t be the time then

\(s = \frac{d}{t}\)

Given

\(d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes\)

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

\(s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}\)

Hence,

The speed is 2/9 miles per minute

Answer: D, i am a hight school teacher names miss smell my butt, and i know that i am right

At the end of 1.51 seconds, the velocity is 6.9 m/s, and at the end of 2.86 seconds, it is 24.64 m/s.

The dislocation that an article of particle experiences with regard to the time is expressed vectorially as velocity. The meter per moment (m/s) is the accepted unit of velocity profiles (also known as speed).

A. F = ma, where F is force, m is mass and a is acceleration.

a = 2.65/0.58

Performing division

a = 4.57 m/s²

With respect to final and starting velocities, acceleration, and time, the formula is v = u + at.

v = 4.57×1.51

The act of multiplying

v = 6.9 m/s.

B). New acceleration = 3.60/0.58

The act of multiplying

New acceleration = 6.2 m/s²

v = u + at

v = 6.9 + 6.2×2.86

Performing multiplication

v = 6.9 + 17.75

Performing addition

v = 24.64 m/s.

At two different locations, the velocities are 6.9 m/s or 24.64 m/s.

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Answer:

B

Step-by-step explanation:

no explanation.......

Answer:

(-2.5,2.2)  

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

Use the distributive property, to take out the contents from the parentheses

-6 * 5x = -30x

-6 * -9 = 54

-30x + 54

27x -30x + 54

Combine the terms that have the same variable

27x + -30x = -3x

-3x + 54

-3x - 9 = -3x + 54

Combine terms that have the same variable

-3x + 3x = 0

-9 = 54

-9 does not equal 54, therefore there is no solution

Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135

The minimum amount of money Camille could have is 0 dollars if she doesn't buy anything, and the maximum amount of money she could have is 166 dollars if she buys the maximum quantity of each item.

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

We are given that;

The prices of different items at a garage sale: pants, shirts, shorts, and belts.  

Camille can buy up to 5 shirts.

Now,

If Camille buys 5 shirts, she would spend 5 * 6 = 30 dollars on shirts. Since she can buy up to 5 shirts, she may spend less than 30 dollars if she buys fewer shirts.

She can buy up to 10 pants, which would cost her 10 * 8 = 80 dollars.

She can buy up to 5 shorts, which would cost her 5 * 4 = 20 dollars.

She can buy up to 12 belts, which would cost her 12 * 3 = 36 dollars.

30 + 80 + 20 + 36 = 166 dollars

Therefore, by the  maxima and minima the answer will be 166 dollars if she buys the maximum quantity of each item.

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The equation of the vertical asymptote is:

x = 12

The correct option is the third one.

The vertical asymptote of the graph is at the line where the graph tends at positive infinite and negative infinite at the same time.

You can see that it happens in the right side of the graph.

You can see that it is a vertical asymptote, so it will be represented by a vertical line, these are of the form x =a.

By looking at the graph, you can see that it is located at x = 12, so that is the equation of the vertical line. The correct option is the third one.

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Answer:

1436.5 ft^3

Step-by-step explanation:

Shed B

L = 2* 6.5 = 13

W = 2*6.5 = 13

H = 8.5

Formula

Volume = L*w*h

Solution

Volume = 13 * 13 * 8.5

Volume = 1436.5

Answer:

x = -4

Step-by-step explanation:

Answer:

6=12=36=54

8.5x-40=

try 4

For an ANOVA comparing three treatment conditions, the alternative hypothesis (H1) is stated as "at least one of the three population means is different from another population mean." This means that there is a difference in the effect of the treatments on the outcome variable, and it is not due to chance or random error.

In other words, there is a statistically significant difference between the means of the groups, and this difference is not likely to be explained by sampling variability.

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Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The coordinates of B in the segment is (2, 7)

The given parameters are

A = (-4, 3)

M = (-1, 5)

The midpoint of the segment AB is calculated as

M = 1/2(x1 + x2, y1 + y2)

So, we have

(-1, 5) = 1/2 * (-4 + x, 3 + y)

Multiply both sides of the equation by 2

So, we have

(-2, 10) = (-4 + x, 3 + y)

By comparison, we have the following

-4 + x = -2

3 + y = 10

Evaluate the like terms

x = 2

y = 7

This means that

B = (2, 7)

Hence, the coordinates of B in the segment is (2, 7)

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The point estimate that can be used to estimate the true mean population is 11.97 inches.

To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:

Mod(X)= (Σx) / n

where Mod(X)  is the sample mean, Σx is the sum of all the observations, and n is the size.

Using the given observations, we can calculate the sample mean as follows:

Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12

Mod(X) = 11.97

Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.

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Answer:

Step-by-step explanation:

7x 14x the answer is 6x