Please help me :> i would love that ! :))

The expected number of minutes that the rat will be trapped in the maze is 2.295 minutes.

The expected number of minutes that the rat will be trapped in the maze can be calculated by using the expected value formula. The expected value is the sum of each possible outcome multiplied by its respective probability. In this case, the possible outcomes are the time spent in the maze for the left and right directions. The formula for expected value can be written as:

E(X) = (2 minutes x 13% chance) + (5 minutes x 23% chance) + (3 minutes x 64% chance)

E(X) = 0.26 + 0.115 + 1.92 = 2.295

Therefore, the expected number of minutes that the rat will be trapped in the maze is 2.295 minutes. This result is based on the assumption that the rat is equally likely to go to the left or right at all times.

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Answer:

3rd option:  2 1/2 ÷ 1/6

Step-by-step explanation:

2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph

To find the points (x, y) on the graph of y = x/(x - 3) where the tangent lines are perpendicular to the line y = 3x - 1, we need to find the values of x that satisfy this condition.

First, let's find the derivative of the function y = x/(x - 3). Using the quotient rule, the derivative is given by:

dy/dx = [(x - 3)(1) - x(1)] / (x - 3)^2

      = -3 / (x - 3)^2

Next, we find the slope of the line y = 3x - 1, which is 3.

For two lines to be perpendicular, the product of their slopes should be -1. Therefore, we have:

-3 / (x - 3)^2 * 3 = -1

Simplifying the equation, we get:

(x - 3)^2 = 9

Taking the square root of both sides, we have:

x - 3 = ±3

Solving for x, we get two values:

x = 6 and x = 0

Now, substituting these values back into the equation y = x/(x - 3), we find the corresponding y-values:

For x = 6, y = 6/(6 - 3) = 2

For x = 0, y = 0/(0 - 3) = 0

Therefore, the points (x, y) on the graph of y = x/(x - 3) with tangent lines perpendicular to the line y = 3x - 1 are (6, 2) and (0, 0).

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Answer:

all the answers you have are correct!!!

Step-by-step explanation:

Answer:

Completing the experiment a few more times and combining the results to the trails already done.

Answer:

Completing the experiment a few more times and combining the results to the trails already done.

Step-by-step explanation:

Answer:

B. y = 2x² + 5x - 3

Step-by-step explanation:

\(4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3\)

The result when the equation is solved for y is y = 2x² + 5x - 3.

To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:

Step 1: Move all terms containing y to one side of the equation:

4x² + 10x - 6 = 2y

Step 2: Divide both sides of the equation by 2 to isolate y:

(4x² + 10x - 6) / 2 = y

Step 3: Simplify the right side of the equation:

y = 2x² + 5x - 3

So, the result when the equation is solved for y is y = 2x² + 5x - 3.

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Answer:

This is how I would approach it

Step-by-step explanation:

d=10

Answer:

Solution given:

\(\sqrt{25+3x}=d+2x\)

squaring both side

25+3x=(d+2x)²

when x=-3

25+3*-3=(d+2*-3)²

25-9=(d-6)²

16=(d-6)²

\(\sqrt{16}=d-6\)

4=d-6

d=4-6

d=10

Answer:

d = 6

Step-by-step explanation:

\( \sqrt{25 + 3( - 3)} = d + 2( - 3) \\ 4 = d - 6 \\ d = 10\)

hopefully this makes sense

:)

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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The required sign between -12.7a and -12.7b should be greater than sign (>).

If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.

To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:

cx < cy, because c is negative and (x < y)

Therefore, if a is less than b, then:

-12.7a > -12.7b

So the sign between -12.7a and -12.7b should be greater than sign (>).

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Answer:

-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)

Answer: Tañísh’ Ec poco la vans two 3 mph

Step-by-step explanation:

The electric potential at the origin is 11.9834 ×\(10^{9}\) .

V = k (q/r)

V = 8.98755 × \(10^{9}\) ×(-4/3)

V= 11.9834 ×\(10^{9}\) is the the electric potential at the origin.

The effort required to transfer a unit charge against an electric field from a reference point to a specified spot.

Electric potential difference is the potential created when a charge is moved from one point to another within the field itself, whereas electric potential is the effort done per unit charge to transport the charge from infinity to a point in the electric field.

The amount of work required to move a unit positive charge from infinity to a particular point in an electric field is called the electric potential.

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Answer:

Adbul earned more interest

Step-by-step explanation:

3.5% of 460 = 16.1

2.8% of 550 = 15.4

Adbul earned more interest

Answer:

Option B is correct ...

\(solution \\ 3 - 2x = 9 \\ or \: - 2x = 9 - 3 \\ or \: - 2x = 6 \\ or \: x = \frac{6}{ - 2} \\ x = - 3\)

hope this helps..

Good luck on your assignment...

Answer:

\( \boxed{\sf (b) \ x = -3} \)

Step-by-step explanation:

\( \sf Solve \: for \: x: \\ \sf \implies 3 - 2x = 9 \\ \\ \sf Subtract \: 3 \: from \: both \: sides: \\ \sf \implies (3 - \boxed{3}) - 2x = 9 - \boxed{3} \\ \\ \sf 3 - 3 = 0 : \\ \sf \implies - 2x = 9 - 3 \\ \\ \sf 9 - 3 = 6 : \\ \sf \implies - 2x = \boxed{6} \\ \\ \sf Divide \: both \: sides \: of \: - 2 x = 6 \: by \: - 2: \\ \sf \implies \frac{ - 2 x}{ - 2} = \frac{6}{ - 2} \\ \\ \sf \frac{ - 2}{ - 2} = 1 : \\ \sf \implies x = - \frac{6}{2} \\ \\ \sf \implies x = - \frac{3 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies x = - 3\)

Answer:

5 and 4

Step-by-step explanation:

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

E

Step-by-step explanation:

basically if you do a graph y will start at 5 always because the entrance fee never change. then 0.6 equal 60 cents and since it's per pound you will multiple with x (how many pounds)

Answer:

E.

Step-by-step explanation:

Because it is 0.60 PER pound and an extra $5 so the equation would be C=0.60x+5

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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No, a right triangle has sides that measure 3, 4, and 5. The sides of 5, 12, and 13 do not have the correct ratio to be a right triangle.

No, a right triangle has sides that measure 3, 4, and 5. These sides have a specific ratio that must be followed in order for it to be a right triangle. The ratio of the sides of a right triangle should be 3:4:5. However, the sides of 5, 12, and 13 do not have the correct ratio to be a right triangle. This is because the ratio of these sides would be 5:12:13, which is not the same as the ratio of a right triangle. Therefore, 5 12 13 is not a right triangle and does not have the correct ratio of sides to be classified as a right triangle.

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Answer:

5.2seconds

Step-by-step explanation:

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

The modeled function is given as

h(t) = –16t^2 +64t + 100,

We can see this is a quadratic equation, we can solve using quadratic formula, Below

= -b±(√b^2 -4ac)/2a

Where

a=-16, b=64, c=100

FROM THE ATTACHMENT

We have too answers t= -1.20s and t=5.20s

Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here

CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION

Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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Answer:

17 gallons

Step-by-step explanation:

First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles

Do 204÷ 12 = 17

Answer:

17 galloons

Step-by-step explanation:

72 Miles= 6 galloons

144 miles = 12 galloons

204 miles = 17 galloons

in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas