If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.

The length of side x in simplest radical form is √128/1 with a rational denominator of 1.

The triangle is given in the question which is a right triangle.

As per the given figure, we can determine the length of side x by the Pythagoras theorem.

According to Pythagoras's theorem,

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

8² + 8² = (x)²

64 + 64 = (x)²

(x)² = 128

x = √128

Hence, the required length of side x of the triangle is √128.

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Answer: it would .08 then if you multiply by ten you would get 80

Step-by-step explanation:

yo you got discord?

if so what is it

Answer:

5/6, 0.23, -5+3/8 are rational numbers.

Step-by-step explanation:

The difference between RATIONAL and IRRATIONAL numbers is this:

Irrational numbers go on forever.

Rational numbers can be written as fractions, decimals or mixd numbers.

I hope this answer was helpful!

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2

The value of HF is= 76.5

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The diagonals of a parallelogram bisect each other (divide into two equal parts).  Therefore, point D is the midpoint of diagonal HF, and so HD = DF.

Find the value of x by equating the expressions for HD and DF and solving for x:

HD = HF

x^2 - 34 = x^2 - 4x

x = 8.5

To find the length of HF, substitute the found value of x into the sum of the expressions of HD and DF:

HF = HD + DF

HF = x^2 - 34 + x^2 - 4x

HF = 76.5

Therefore, the length of HF is 76.5 units.

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Answer:31.4

Step-by-step explanation: tan=oppisite/adjacent, so just plug it in.
tan e=square root 22/square root 59
tan^-1=(square root 22/square root 59) < Use arc tan to find the missing angle.

M<E= 31.4

The polar coordinates for (r,θ) are (√1690,tan−1(21/23))

Given the parametric curve (x(t),y(t))=(t2,t5) for t in [0,1] is to be revolved around the x-axis.

Here is how to find the surface area SA of the surface of revolution:

Formula for finding the surface area of a surface of revolution

Let the curve be y = f (x), a ≤ x ≤ b, which is rotated about the x-axis to produce a surface S.

If ΔS is a small segment of the surface, then its area can be approximated byΔS = 2πyΔs,

where y is the distance from the x-axis to the curve,

           and Δs is the length of the curve.

As Δs → 0, we have the exact area of S to be SA = ∫ab2πy(x)ds(x)

The length of the curve is found by using the following formula, ds:

ds2=dx2+dy2

Solving the integral for the surface area SA of the surface of revolution,

In this instance, x(t) = t² and y(t) = t⁵

The length of the curve, ds is as follows:

ds = dx2+dy2

     = 1+4t4dt

The surface area of revolution SA is obtained by:

SA = 2π∫ab(y(x)√(1+(dy/dx)²)dx

     = 2π∫01t5√(1+(dy/dx)²)dx

     = 2π∫01t5√(1+(5t3/2t2)²)dx

     = 2π∫01t5√(1+25t4)dx

     = 2π∫01t5(1+25t4)1/2dx

Euclidean coordinates of the point in the plane having polar coordinates (r,θ)=(4,π/3)

To find the Euclidean coordinates (x,y), use the following formulas;

x = r cos θy = r sin θ

Here, r = 4, and θ = π/3x = 4cos(π/3)y = 4sin(π/3)

Therefore, the Euclidean coordinates are (x, y) = (4cos(π/3), 4sin(π/3))

Simplifying the above expression will yield;

(x, y) = (-2, 2√3)

Polar coordinates of the point in the plane having Euclidean coordinates (x,y) = (23​​,21​)

The polar coordinates (r,θ) can be found by the formulas;r² = x² + y²tan θ = y/x

From the problem, x = 23​​, and y = 21

Therefore;r² = (23/1)²+(21/1)²

                     = 1690tan θ

                     = y/x

                     = 21/23θ

                     = tan−1 (y/x)

                     = tan−1 (21/23)

The polar coordinates are (r,θ) = (√1690,tan−1(21/23))

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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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The page where the number 110 appears will be 37.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

An arithmetic sequence 2, 5, 8, 11, 14,... is written in the order in a book. Then the first term is 2 and the common difference is 3. Then the number of terms if the nth term is 110. Then we have

110 = 2 + (n - 1) x 3

108 = (n - 1) x 3

n - 1 = 36

n = 37

The page where the number 110 appears will be 37.

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Answer:

$115.73

Step-by-step explanation:

10.30×5=51.50

8.99×3=26.97

51.50+26.97+29.99=108.46

108.46+6.7%

108.46+7.27=115.73

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equations are given below.

y = 2x + 56       ....1

y = 9x               ....2

From equations 1 and 2, then we have

9x = 2x + 56

7x = 56

 x = 8

Then the value of the variable 'y' is given as,

y = 9(8)

y = 72

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

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The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

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Answer:

D. 56%

Step-by-step explanation:

For the fractions we will do:

\(\frac{wanted.outcome}{possible.outcomes}\)

      It depends on if he puts the first name back in, but I am going to asume Mr. Rosart does not, so we will subtract one from the boys for the second pull.

[Wanted over possible] \(\frac{14}{25}\)

[Dividing] 14 / 25 = 0.56

[Making a percent] .56 * 100 = 56%

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

98 was the change in elevation

Step-by-step explanation:

Answer:

1/2 lb

Step-by-step explanation:

(1)1.75 + 3(3.75) - 4 = 23.5/4

23.5x/4 = 2.95

23.5x = 11.8

x = 0.5

Answer:

2lb

I don't know what to write here but this is the answer

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer: 20m i know it pro

Step-by-step explanation:

Answer:

Coupon A

Step-by-step explanation:

Coupon A takes 40% off

51 x .40= $20.40

Coupon B only gives a rebate for $18

Coupon A is $2.40 less than the price with coupon B

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Answer:

Let b = number of brushes, r = number of rollers, and c = number of paint cans.

b + r + c(cost of paint can)

Step-by-step explanation:

Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

Answer:

C.) |t−0.5|=98.6

Step-by-step explanation:

Since a person's normal body temperature should remain within 0.5 degrees Fahrenheit of 98.6ºF. The equation which can be used to determine the lowest and the highest body temperature that would be considered normal is;

|t−0.5|=98.6

Conversion of Degree Celsius to Fahrenheit.

0°C = 32°F

0.5°C = 32.9°F

Let's assume we have a temperature of 100°F, 20°F, 200°F

Substituting these values into the equation, we have;

|100−32.9|=67.1°F

|20−32.9|= -12.9°F

|200−32.9|=167.1°F

This temperature (67.1°F) is within the normal range.

This temperature (-12.9°F) is below the normal range.

This temperature (167.1°F) is above the normal range.

Answer:

um the best i can say is 25% if thats the only info you give

Step-by-step explanation:

Answer:

It's 25%                                                            

Step-by-step explanation:

Answer:

C. $54.00 per day.

Step-by-step explanation:

54 is the amount you will pay every day so the rate of change will be $54.00 per day.

Part A:

(26)x = 1

Solve for x by dividing both sides by 26:

X = 1/26

part B:

(50)x = 1

Solve for x by dividing both sides by 50:

X = 1/50

\(\\ \rm\Rrightarrow 26x=1\)

\(\\ \rm\Rrightarrow x=1/26\)

#B

\(\\ \rm\Rrightarrow 50x=1\)

\(\\ \rm\Rrightarrow x=1/50=0.02\)

Answer:

The false statement is D) All kites are rectangles.

A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.

Step-by-step explanation:

The temperature in the center of the tube after 1000 seconds is:

u(0.5, 1000) = Σ Cₙ * sin(nπ(0.5)/1) * exp(-λn² * 1000)

= \(\frac{nC\sin \left(1.57079\dots n\right)}{e^{1000λn^2}}\)

Here, we have,

To find the temperature in the center of the steel pipe after 1000 seconds, we need to solve the heat conduction equation:

Ut = αuxx

subject to the given boundary conditions:

u(x, 0) = (1 - 5x/L)

u(0, t) = u(L, t) = 0

where α = 0.1 [cm² / s] is a given constant and L = 1 meter is the length of the pipe.

Since we are interested in the temperature at the center of the pipe, we can assume that the pipe is symmetric, and therefore the center is at x = L/2 = 0.5 meters.

To solve the heat conduction equation, we can use the method of separation of variables.

We assume a solution of the form:

u(x, t) = X(x)T(t)

Substituting this into the heat conduction equation, we get:

X(x)T'(t) = αX''(x)T(t)

Dividing both sides by αX(x)T(t), we obtain:

T'(t)/T(t) = X''(x)/X(x) = -λ

where λ is a separation constant.

The equation for the time variable becomes:

T'(t)/T(t) = -λ

Integrating both sides with respect to t, we have:

ln(T(t)) = -λt + C₁

where C₁ is an integration constant.

Taking the exponential of both sides, we get:

T(t) = C₂ * exp(-λt)

where C₂= exp(C₁) is another constant.

Now, let's consider the equation for the spatial variable:

X''(x)/X(x) = -λ

This is a second-order ordinary differential equation with homogeneous boundary conditions:

X(0) = X(L) = 0

The general solution to this equation can be written as:

X(x) = sin(nπx/L)

where n is a positive integer.

By applying the boundary conditions, we find that n must be an odd integer to satisfy X(0) = X(L) = 0.

Now, combining the solutions for T(t) and X(x), we have:

u(x, t) = Σ Cₙ * sin(nπx/L) * exp(-λn²t)

where Σ denotes a summation over all odd integers n.

To find the specific solution for the given initial condition u(x, 0) = (1 - 5x/L), we need to determine the coefficients Cₙ.

Using the orthogonality property of sine functions, we can determine the coefficients Cₙ by projecting the initial condition onto the sine functions:

Cₙ = (2/L) * ∫[(1 - 5x/L) * sin(nπx/L)] dx

Evaluating this integral over the interval [0, L], we obtain:

Cₙ = (2/L) * ∫[0, L] (1 - 5x/L) * sin(nπx/L) dx

Now, substitute the specific values α = 0.1 [cm²/s], L = 1 meter, t = 1000 seconds, and x = 0.5 meters into the solution formula:

u(0.5, 1000) = Σ Cₙ * sin(nπ(0.5)/1) * exp(-λn² * 1000)

= \(\frac{nC\sin \left(1.57079\dots n\right)}{e^{1000λn^2}}\)

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The underlying problem in this case from the perspective of CEO Elon Musk is that Tesla is having trouble meeting production targets for the Model 3. T

There are a number of causes of the problem, including:

Tesla's plan to remedy the issues with the Model 3 includes the following areas of organizational control:

The two core principles of total quality management are customer focus and continuous improvement.

However, Musk is not always successful in implementing these principles. For example, he has been criticized for making unrealistic promises to customers, which has led to disappointment.

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