How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)

Answer:

B

Step-by-step explanation:

The number of bombs that should be dropped to give a 99% chance or better of completely destroying the target can be 11, 12, and 13.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of success in one strike is p = 1/2

The probability of failure will be:

q = 1/2 ​

Now, the probability of a successes P( x = a ) = ₙCᵃ ​× ( 1/2​ )ᵃ × ( 1/2 )ⁿ ⁻ ᵃ

P( x = a ) = ₙCᵃ ​ ( 1/2 )ⁿ

According to the given condition,

P( x ≥ 2 ) ≥ 0.99

= 1 − P( x < 2 ) ≥ 0.99

= 1 − P( x = 0 ) − P( x = 1 ) ≥ 0.99

= 1 − 0.99 ≥ ( 1 + n)/2ⁿ ​

= 2ⁿ ≥ 100 + 100n

When n = 10, 2ⁿ < 100 + 100n

For n = 11, 12, 13, 2ⁿ > 100 + 100n

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Hello!

area

= πr²

= 3.14 * (3ft)²

= 3.14 * 9ft²

= 254.34ft²

≈ 254.3ft²

Answer:

6?

Step-by-step explanation:

Answer:

3 is the answer thing

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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There is no value of c for integrals with f(x), g(x) in the interval [0, 1] that satisfies the Mean Value Theorem for integrals for f(x) = x and g.

To find the value of c that satisfies the Mean Value Theorem for integrals, we need to determine if there exists a value c in the interval [0, 1] such that the average rate of change of f(x) and g(x) over that interval is equal to the derivative of the antiderivative of g(x) minus the antiderivative of f(x) evaluated at c.

a) For f(x) = x and g(x) = x:

The average rate of change of f(x) and g(x) over [0, 1] is:

(f(1) - f(0)) / (1 - 0) = (1 - 0) / 1 = 1.

The antiderivative of g(x) minus the antiderivative of f(x) is:

∫[0,1] (g(x) - f(x)) dx = ∫[0,1] (x - x) dx = ∫[0,1] 0 dx = 0.

Since 1 is not equal to 0, there is no value of c that satisfies the Mean Value Theorem for integrals for f(x) = x and g(x) = x.

b) For f(x) = x² and g(x) = x:

The average rate of change of f(x) and g(x) over [0, 1] is:

(f(1) - f(0)) / (1 - 0) = (1² - 0²) / 1 = 1.

The antiderivative of g(x) minus the antiderivative of f(x) is:

∫[0,1] (g(x) - f(x)) dx = ∫[0,1] (x - x²) dx = [x²/2 - x³/3] evaluated from 0 to 1 = (1/2 - 1/3) - (0/2 - 0/3) = 1/6.

Since 1 is equal to 1/6, there exists a value of c in the interval [0, 1] that satisfies the Mean Value Theorem for integrals for f(x) = x² and g(x) = x.

c) For f(x) = x and g(x) = e^x:

The average rate of change of f(x) and g(x) over [0, 1] is:

(f(1) - f(0)) / (1 - 0) = (1 - 0) / 1 = 1.

The antiderivative of g(x) minus the antiderivative of f(x) is:

∫[0,1] (g(x) - f(x)) dx = ∫[0,1] (e^x - x) dx.

Finding the antiderivative of e^x gives us e^x, and the antiderivative of x is (1/2)x².

Evaluating the integral from 0 to 1, we have:

∫[0,1] (e^x - x) dx = [e^x - (1/2)x²] evaluated from 0 to 1 = (e - 1/2) - (1 - 0) = e - 3/2.

Since 1 is not equal to e - 3/2, there is no value of c that satisfies the Mean Value Theorem for integrals for f(x) = x and g(x) = e^x.

There is no value of c that satisfies the Mean Value Theorem for integrals for f(x) = x and g

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The correct option is b. to represent vectors. We need Cartesian and Polar Coordinates in Kinematics to represent vectors. In Kinematics, the Cartesian and Polar Coordinates are important because it enables us to represent the motion of a particle and the geometric shapes of physical objects.

The Cartesian Coordinates in Kinematics

The Cartesian Coordinates uses a three-dimensional system to plot points in space, which can also be used to represent motion in Kinematics.

In the Cartesian system, a point is defined by three coordinates x, y and z, which represent its position in space.

The x-coordinate represents the position of a point along the horizontal plane, the y-coordinate represents the position of a point along the vertical plane, and the z-coordinate represents the position of a point along the depth plane.

We can also use Cartesian coordinates to calculate the velocity and acceleration of a particle.

The Polar Coordinates in Kinematics

The Polar Coordinates uses a two-dimensional system to plot points in space, which can also be used to represent motion in Kinematics.

In the Polar system, a point is defined by two coordinates, the radial coordinate, r, and the angular coordinate, θ. The radial coordinate represents the distance of a point from the origin, while the angular coordinate represents the angle between the radial line and the positive x-axis.

Polar coordinates are especially useful when dealing with circular motion, as the angular coordinate can be used to measure the angle of rotation of a particle. Polar coordinates are often used in Kinematics to represent the position and velocity of a particle.

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Answer:

30

Step-by-step explanation: you add 3+3 and multiply 5 and get 6x5 is 30

Answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Answer:

343

Step-by-step explanation:

Sorry its so late, but here is the correct answer:

343

Step-by-step explanation:

7 to the power of 3 = 343

Otherwise known as 7 x 7 x 7 = 343

Hope this helps :)

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Rotation is the rigid type of transformation which is equivalent to the two reflections across intersecting lines.

Therefore, the rigid type transformation which is equivalent to two reflection across the intersecting lines is called rotation.

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Answer:

It is < (less than sign)

Step-by-step explanation:

Negative numbers when they keep going up, (-11,-12,-13) they actually become less, not greater. Also heres a tip: If you see the arrows in a number line compared to these signs, try to remember them as good help cause sometimes I get confused then remember. (>,<)

......the correct answer is 0

The limit of the given expression as x approaches 1 is 0.

To evaluate the limit of the given expression as x approaches 1, we can use L'Hopital's rule, which states that if the limit of a quotient of functions is of the form 0/0 or ±∞/±∞, then the limit can be found by taking the derivative of the numerator and denominator and evaluating the new quotient at the same point.

Using L'Hopital's rule on the given expression, we get:

lim x→1 [5x/(x-1) - 5/x] = lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)]

Plugging in x = 1 directly to this expression, we get:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = (5 - 10 + 5)/(1 - 1) = 0/0

Since the limit is still in an indeterminate form, we can apply L'Hopital's rule once again:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = lim x→1 [(10x - 10)/(2x - 1)] = 0

Therefore, the limit of the given expression as x approaches 1 is 0.

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We will use a combination formula to determine how many ways the prizes could be given out.

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

The formulas nCk is popularly known as counting formula.

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Answer:

no

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the slope of the line is the number that multiplies the x

the y intercept is the constant therm

Answer:

8r + 48

Step-by-step explanation:

In order to expand brackets you have to multiply everything inside the brackets by the number on the outside.

Therefore:

8 x r = 8r

8x 6 = 48

Put these together and you end up with 8r + 48.

Answer:

the difference is 1.8

Step-by-step explanation:

5-3.2=1.8

6.8-5=1.8

8.6-6.8=1.8

ect

Answer:

Step-by-step explanation:

first, lets find the slope:

m=(y2-y1)/(x2-x1)

m=(3-2)/(6-(-1))

m=1/7

y=(1/7)*x+b

to find b lets pug in a point we know into the equation:

3=(1/7)*6+b

21/7=6/7+b

b=(21/7)-(6/7)

b=15/7

now we know the equation in slope intercept form representing this function is:

y=(1/7)*x+(15/7)

Answer:

y= 1/7x+15/7

Step-by-step explanation:

points

(-1, 2)  and  (6, 3)

slope intercept form:

2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7

a. To reach a savings goal of $180,000 by your 18th birthday, assuming starting from your first birthday and earning a 6.5% annual return, your parents would need to save a fixed amount each year.

b. If they adjust their goal to $220,000 and assume a five-year college duration, the annual savings required would change.

a. To calculate the amount your parents would need to save each year to reach the goal of $180,000, we can use the concept of present value. The present value (PV) of the savings should equal the future value (FV) of $180,000, given an annual interest rate of 6.5% and a time period of 17 years (from your first to 18th birthday). By using the formula for calculating present value of an annuity, we can determine the required annual savings amount.

b. If your parents adjust their goal to $220,000 and consider a five-year college duration, the time period would change from 17 years to 16 years (from your first birthday to the year before your 18th birthday). Using the new future value of $220,000 and the same interest rate of 6.5%, the required annual savings amount can be recalculated.

To obtain the specific annual savings amount in both scenarios, the calculations can be done using financial formulas such as the present value of an annuity formula or by utilizing financial calculators or spreadsheets.

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Answer:

c  ≥ (p x 2)

Step-by-step explanation:

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer: 5/4

Step-by-step explanation:3/4 * 2 * 5/6=5/4 so 5/4 is our answer

3(2)-2=4, the second is true. the answerb is b

Answer:

Cost = Rs. 6095.95

Step-by-step explanation:

We are given the perimeter as 440m.

Mow,perimeter of a circle is also called circumference.

Formula for circumference of a circle is;

C = 2πR

Thus:

2πR = 440

R = 440/2π

R = 70 m

We are told that A path 1.4m runs inside the park. Thus radius of smaller circle: r = 70 - 1.4 = 68.6 m

Area of larger circle: A1 = πR² = π(70²)

A1 = 4900π

Area of smaller circle: A2 = πr² = π(68.6²)

A2 = 4705.96π

Area of path = A1 - A2

Area of path = 4900π - 4705.96π

Area of path = 194.04π Sq.m

We want to find the cost of gravelling the path at the rate of Rs.100 per square meter.

Thus;

Cost = 100 × 194.04π

Cost = Rs. 6095.95

The solution of the expression will be 54.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 18 × [ 9 + (-3) ] + [ 18 × (-3) ]

Now,

Since, The expression is,

⇒ 18 × [ 9 + (-3) ] + [ 18 × (-3) ]

Solve as;

⇒ 18 × [ 9 - 3 ] + (-54)

⇒ 18 × 6 - 54

⇒ 108 - 54

⇒ 54

Thus, The solution of the expression = 54

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