Find the probability of getting all heads when flipping a coin 3 times.(write your answer as a reduced fraction)

Answer:

x=-6

Step-by-step explanation:

Divide both sides by -4

You will get an answer of x=-6.

Answer:

y = 7/2x + 2

Step-by-step explanation:

To put the equation in slope intercept form [ y = mx + b ], we need to solve for y.

14x = 6y - 12

~Subtract 6y to both sides

14x - 6y = -12

~Subtract 14x to both sides

-6y = -12 - 14x

~Divide -6 to everything

y = 2 + 7/3x

~Reorder

y = 7/2x + 2

Best of Luck!

Answer:

ur welcoem

Step-by-step explanation:

To calculate the volume of a triangular prism, you need to know the base area and the height. In this case, the base area is given as 4 cm^2, and the areas of the sides are given as 9 cm^2, 10 cm^2 and 17 cm^2.

To find the volume of the prism, you can use the formula:

Volume = Base Area x Height

Since we don't know the height of the prism, we can use the area of the sides to find the height.

To find the height, we need to use the formula of area of the triangle.

Area = (1/2) x b x h

let's use the area of one side (for example 9cm^2)

9cm^2 = (1/2) x b x h

we can divide both sides by (1/2) x b

h = (2 * 9cm^2) / b

Now we have the height of the triangular prism, so we can use that to find the volume.

so the volume of the triangular prism = Base Area x Height = 4cm^2 x ( (2 * 9cm^2) / b) = 72/b cm^3

As we don't know the value of b, we can't find the exact volume of the prism.

Answer:

12 cm³

Step-by-step explanation:

Conditions:
a * h = 9 cm
b * h = 10 cm
c * h = 17 cm
S = 4 cm²

To calculate the area on three sides, we use the Heron formula:

\(S = \sqrt{p * (p-a) *(p-b)*(p-c)\)
where "p" is the semi-perimeter:
\(p = \frac{(a+b+c)}{2}\)

Let's express the sides in terms of the height:
a = 9/h
b = 10/h
c = 17/h

Then the semiperimeter will be:
p = (9/h+10/h+17/h) : 2 = 36/h : 2 = 18/h

Substituting the values into the Heron formula:
4 = √(18/h * (18/h - 9/h) * (18/h - 10/h) * (18/h - 17/h))
4² = 18/h * (18/h - 9/h) * (18/h - 10/h) * (18/h - 17/h)
16 = 18/h * 9/h * 8/h * 1/h
16 = 1296 / h^4
h^4 = 1296 / 16 = 81
h = 3 cm

Now we can calculate the volume of the pyramid:
V = S * h = 4 cm² * 3 cm = 12 cm³

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Answer:

FG = 120 cm

Step-by-step explanation:

The explanation is in the picture!

Answer:

1a) 0.1 cm = 1 mm

When converting centimeters to milimeters, multiply the length value by 10.

1b) 25000 mm = 25 m

When converting milimeters to meters, divide the length value by 1000.

1c) 7g = 0.007 kg

When converting grams to kilograms, divide the mass value by 1000.

1d) 30000 ml = 0.03 kl

When converting milimeters to kilometers, divide the volume value by 1000000.

Answer:

33.69

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan (?) = 2/3

On the calculator do tan^(-1)=2/3

you get around 33.69 degrees

Therefore, the balloon has risen 12 meters. So the answer is 12 meters based on how high it is.

In this problem, Martha is in a hot air balloon that has risen straight up from the launch point. Matthew is standing on the ground, 16 meters away from the launch point. If Martha and Matthew are 20 meters apart, we need to calculate how high the balloon has risen.

The word "high" has no particular meaning or connotation in mathematics. It is a subjective, ambiguous term that might have varied meanings depending on the situation. However, "high" can also refer to a value that is more than or over a predetermined threshold in some mathematical situations. For instance, a high prime number in the study of numbers could be any prime number greater than a given amount. It's vital to keep in mind that, in order to promote clear communication and understanding, it is typically preferable to use exact and well-defined terminology while describing mathematical topics.

We can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.Let h be the height that the balloon has risen. Then we have a right-angled triangle with hypotenuse 20 meters and one side 16 meters (the distance from Matthew to the launch point) and the other side h meters (the height that the balloon has risen).

So we have:\($$20^2 = 16^2 + h^2$$$$400 = 256 + h^2$$$$h^2 = 400 - 256 = 144$$\)

Taking the square root of both sides, we get:\($$h = \sqrt{144} = 12$$\)

Therefore, the balloon has risen 12 meters. So the answer is 12 meters.

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The equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

What is the slope-intercept form?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Here, we have

The lines of the equations

Ax + By = C1

and Bx - Ay = C2 are perpendicular. Therefore, a line perpendicular to 5x - 2y = -6 must take the standard form  2x + 5y = C.

Substituting x = 5, y = -4, we get  

C = 2(5) + 5(-4) = 10 - 20 = -10.

Thus, 2x + 5y = -10 is the correct choice.

This can be rewritten in slope-intercept form:

2x + 5y = -10

2x + 5y - 2x = -10 - 2x

5y = -2x - 10

5y / 5 = (-2x - 10) /5

y = -(2/5) x - 2

Its point-slope form is

y - y1 = m(x - x1)

y + 4 = -(2/5)(x - 5)

Hence, the equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

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Answer:

D. \((x + 1)(x^2 + 3)\)

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite \(x^3 + x^2\) as \(x^2(x + 1)\), as both the two terms share a common factor of \(x^2\). We can pull out \(x^2\) from that expression. Similarly, \(3x\) and \(3\) share a common factor of \(3\), so we can pull that out.

Answer:

The first, second, and fourth graphs are linear. The third graph is nonlinear.

Step-by-step explanation:

A linear graph is a graph that forms a straight line. A linear graph is a graph that curves or bends.

Answer:

A.

Step-by-step explanation:

First up, chill a bit xd

So hot dog = x

Drink = y

2 hot dogs = 2x

2 drinks = 2y

2x + 2y = 4.75

3 hot dogs = 3x

1 drink = y

3x + y = 7.75

Answer: Width = 45 feet; Length = 15 feet;

Step-by-step explanation: Start by substituting 3w for the length because it says that in the problem. We know that 2(L+W) equals the perimeter. Since we substituted 3w for length we get 8w for the perimeter. Divide 120 by 8 to find that the width is 15 feet and plug it into 3w to get the length of 45 feet.

Answer:

45 feet and 15 feet are the length and width

Step-by-step explanation:

P = 120 feet

a (length) = 3 * b (width)

P = 2 * (a + b)

P = 2 * (3b + b)

P = 2 * 4b

P = 8 * b

                           => 8b = 120 feet

P = 120 feet

b = 120 / 8

b = 15 feet

a = 3 * b

a = 3 * 15

a = 45 feet

Answer:

195.65

Step-by-step explanation:

Answer:

100%-29% = 71%

568/0.71 = 800

price was $800

Step-by-step explanation:

If I'm wrong I'm sorry

If I'm right Thank you and (Brainliest plz )

(a) The 99% confidence interval for the true proportion of potential donors who may donate is from 5.04% to 5.12%.

(b) No, the proposed true rate of 5% is not plausible given the confidence interval.

(a) To calculate the 99% confidence interval for the true proportion of potential donors who may donate, we can use the formula for a confidence interval for a proportion:

CI =\(\hat p \pm z * \sqrt((\hat p * (1 - \hat p)) / n)\)

\(\hat p\) is the sample proportion (5080/100,000 = 0.0508),

z is the z-score corresponding to the desired confidence level (99% confidence level corresponds to a z-score of approximately 2.576),

and n is the sample size (100,000).

Now we can substitute the values into the formula to calculate the confidence interval:

\(CI = 0.0508 \pm 2.576 * \sqrt((0.0508 * (1 - 0.0508)) / 100,000)\)

Simplifying the expression inside the square root:

\(\sqrt((0.0508 * (1 - 0.0508)) / 100,000)\) ≈ 0.000159

Substituting back into the formula:

CI = 0.0508 ± 2.576 * 0.000159

Calculating the confidence interval:

CI ≈ (0.0508 - 2.576 * 0.000159, 0.0508 + 2.576 * 0.000159)

  ≈ (0.0504, 0.0512)

Therefore, the 99% confidence interval for the true proportion of potential donors who may donate is approximately 0.0504 to 0.0512, or 5.04% to 5.12%.

(b) The proposed true rate is 5%. Comparing it with the confidence interval we calculated, we can see that the entire confidence interval falls within the range of 5.04% to 5.12%.

Therefore, the proposed true rate of 5% is plausible based on the given confidence interval.

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Answer:

(x+2)^2 - 6

Step-by-step explanation:

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer:

the answer to this question is

B. 1/2

hope this helps u

Answer:

The two answers are

(a) Leena consumed 1,500 calories at dinner.

(b) The equation 2/3 (x+400+350)= x can be used to model the situation.

Step-by-step explanation:

Answer:

A)Leena consumed 1,500 calories at dinner.

B)The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.

Step-by-step explanation:

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

\(\left(12x-1.7\right)-\left(17x+6.7\right)\)

remove the parentheses

\(12x-1.7-17x-6.7\)

Simplify

Group like terms

\(12x-17x-1.7-6.7\)

Add

\(12x-17x=-5x=\)

\(-5x-1.7-6.7\)

Subtract

\(-1.7-6.7=-8.4\)

= \(-5x-8.4\)

Answer:

D

Step-by-step explanation:

Supplementary means 180 degree. Thus, you have to find the two angle that equals 180.

Answer:

I think it is 1 only [B.]

Step-by-step explanation:

I'm not sure, but I hope this helps!

The cost of 1 kg of beetroot and 1 kg of kale are 1.39 units and 2.53 units respectively

The cost of 4kg of kale and 1.5 kg of beetroot is 12.20. The cost of 5kg of kale and 2kg of beetroots is 15.40.

The cost of 1kg of beetroot and 1kg of kale can be found as follows:

Therefore,

let

x = cost of 1kg of beetroot

y = cost of 1 kg of Kale

Therefore, using equation,

1.5x + 4y = 12.20

2x + 5y = 15.40

x = 12.20 / 1.5 - 4y / 1.5

x = 8.13 - 2.67y

Hence,

5y = 15.40 - 2(8.13 - 2.67y)

5y = 15.40 - 16.26 + 5.34y

5y = -0.86 + 5.34y

5y - 5.34y = -0.86

- 0.34y = - 0.86

y = - 0.86 / - 0.34

y = 2.52941176471

y = 2.53

1.5x = 12.20 - 4(2.53)

1.5x = 12.20 - 10.12

1.5x = 2.08

x = 2.08 / 1.5

x = 1.38666666667

x = 1.39

Therefore,

cost of 1kg of beetroot ≈ 1.39

cost of 1 kg of Kale = 2.53

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1 solution: (-1,-3)

1) Since we are going to solve these systems graphically, let's begin by setting one pair of t-tables:

b) 2x-y=1, y=-3

2x-y=1 ⇒-y= 1 -2x ⇒ y=2x-1

Now, let's plot those points and trace one increasing line for the first one, and one horizontal line for the constant function y=-3

2) Plotting that system, we can tell the solution is the common point to both equations:

Thus, the answer is (-1,-3)

Answer:

median then mean then range

We know that

So, we can see that g(x) is f(x) reflected in the x-axis. But, it has another change which is a downward movement in 3 units.

So, we can deduce that

Sketch of the situation:

When you reflect f(x) in the x-axis, you obtain something like -f(x).

We can see that -f(x) intersect the y-axis in -1. But, g(x) intersect the y-axis in -4.

So, we need to move the function 3 units down. Whe we make the movement the graph will intersect the y-axis in -4 because -1-3=-4.

The area of the surface would be,

Area = 5

We have to given that,

A force of 100N is creating 20Pa of pressure on a surface.

Here,

Force = 100 N

Pressure = 20 Pa

Since, We know that,

Pressure = Force / Area

Substitute all the values, we get;

20 = 100 / Area

Area = 100 / 20

Area = 5

Thus, The area of the surface would be,

Area = 5

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The irreducible representations symmetric about principle Cn in the D3d point group are A1, A2, and E. The irreducible representations antisymmetric to inversion are A1 and A2. The two-dimensional irreducible representations are E. The irreducible representations containing the x, y, and z axis rotations are A1 and E.

In the D3d point group, the irreducible representations that are symmetric about the principal axis Cn are denoted as A1, A2, and E. These representations exhibit the same behavior under rotation about the Cn axis. A1 and A2 representations are also antisymmetric to inversion, meaning that their wavefunctions change sign upon inversion. On the other hand, E is a two-dimensional (doubly degenerate) irreducible representation, which means it has two distinct wavefunctions that transform into each other under the symmetry operations of the D3d group.

The irreducible representations containing the x, y, and z axis rotations are A1 and E. These representations possess elements of symmetry corresponding to rotations around the x, y, and z axes. The A1 representation is a one-dimensional representation, while the E representation is two-dimensional. The two-dimensional nature of E implies that it has two wavefunctions that transform differently under the symmetry operations of the group.

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Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Either f(n)=O(g(n)) or g(n)=O(f(n)) since f(n) can be bounded above by g(n) with suitable constants.

To show that either f(n) = O(g(n)) or g(n) = O(f(n)), we need to find specific constants c > 0 and n_0 > 0 such that 0 ≤ f(n) ≤ c * g(n) or 0 ≤ g(n) ≤ c * f(n) for all n ≥ n_0.

Let's start by considering f(n) = 0.1n^6 - n^3 and g(n) = 1000n^2 + 500.

To show that f(n) = O(g(n)), we need to find constants c > 0 and n_0 > 0 such that 0 ≤ f(n) ≤ c * g(n) for all n ≥ n_0.

Let's choose c = 1 and n_0 = 1.

For n ≥ 1, we have:

f(n) = 0.1n^6 - n^3

     ≤ 0.1n^6 + n^3         (since -n^3 ≤ 0.1n^6 for n ≥ 1)

     ≤ 0.1n^6 + n^6         (since n^3 ≤ n^6 for n ≥ 1)

     ≤ 1.1n^6               (since 0.1n^6 + n^6 = 1.1n^6)

Therefore, we have shown that for c = 1 and n_0 = 1, 0 ≤ f(n) ≤ c * g(n) for all n ≥ n_0. Hence, f(n) = O(g(n)).

Similarly, to show that g(n) = O(f(n)), we need to find constants c > 0 and n_0 > 0 such that 0 ≤ g(n) ≤ c * f(n) for all n ≥ n_0.

Let's choose c = 1 and n_0 = 1.

For n ≥ 1, we have:

g(n) = 1000n^2 + 500

     ≤ 1000n^6 + 500       (since n^2 ≤ n^6 for n ≥ 1)

     ≤ 1001n^6             (since 1000n^6 + 500 = 1001n^6)

Therefore, we have shown that for c = 1 and n_0 = 1, 0 ≤ g(n) ≤ c * f(n) for all n ≥ n_0. Hence, g(n) = O(f(n)).

Hence, we have shown that either f(n) = O(g(n)) or g(n) = O(f(n)).

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