a fox and eagle lived at the top of a cliff of height 6m whose base was at a distance of 10m from point A on the ground. the fox descends the cliff and went straight to point A . th eagle flew up to height x meters and went in a straight line to point A, the distance traveled by each being the same. find the value of x

ANSWER

EXPLANATION

We want to write the number given in scientific notation. The number is 80,023

Putting a number in scientific notation involves writing that number as a product of a number between 1 and 10 and a power of 10.

We do this by moving the decimal point from behind the last digit of the number (3) to just after the first digit (8).

We move the decimal point 4 times to the left, that is why the power of 10 is +4.

So, we have that 80,023 becomes:

Answer:

O is largest, C is medium, and T is smallest

Step-by-step explanation:

You need to pay close attention to the side length. The higher the length, the smaller the angle.

:)

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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Answer:

the answer is 12.2 :)

Step-by-step explanation:

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

girl/boy use photomath if ur failing or just use these.

Step-by-step explanation:

11. 5x^2-6x-12

12. 2x(4y+5x)

13.3y^2+16xy

if you need the rest use photomath I am sure it will come to the same answers I got.

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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The rate of change of the ordered pairs of the graph is 2.

An indicator of how one quantity changes in relation to another is called a rate of change. The rate at which one quantity changes in relation to another quantity is known as the rate of change function.

Given that the ordered pairs of the graph are {(1,3), (2,5), (3,7), (4,9)}. The rate of change will be calculated as,

R = Δ y = Δx

R = ( 5 - 3 ) / ( 2 - 1 )

R = 2 / 1

R = 2

Therefore, the rate of change of the ordered pairs of the graph is 2.

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For the remaining intervals, we proceed similarly and obtain the local minima of f(0)=0 and f(2)=4. So the global minimum of the function is f(-2)=-4.

The search intervals method is a numerical optimization technique to find the minimum of a function. It involves dividing the search space into n equally spaced intervals and then calculating the local minimum of the function within each interval. The formula for calculating the search intervals is given by: Interval_i = xmin + (i-1)*((xmax-xmin)/n) where i denotes the ith interval, xmin is the lower bound of the search space, xmax is the upper bound and n is the number of intervals. For example, if we have f(x)=x^2, xmin=-2, xmax=2 and n=3. Then the search intervals are:

Interval_1 = -2 + (1-1)*((2-(-2))/3) = -2 Interval_2 = -2 + (2-1)*((2-(-2))/3) = 0

Interval_3 = -2 + (3-1)*((2-(-2))/3) = 2 Next, we calculate the local minimum of the function within each interval. For example, for interval 1, the local minimum is f(-2)=-4. For the remaining intervals, we proceed similarly and obtain the local minima of f(0)=0 and f(2)=4. So the global minimum of the function is f(-2)=-4.

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To set up an integral for the length of the curve, we can use the formula:

length = ∫[a,b] √(1 + (dy/dx)²) dx

where a and b are the limits of integration.

In this case, we are given the curve x = y + y4, which can be rewritten as y = (x/(1+4))^(1/4) using algebraic manipulation.

Next, we can find the derivative of y with respect to x:

dy/dx = ((1/(1+4))^(1/4))/(4*(x/(1+4))^(3/4))

Substituting this into the formula for length, we get:

length = ∫[4, 65] √(1 + ((1/(1+4))^(1/4))/(4*(x/(1+4))^(3/4))²) dx


The formula for the length of a curve involves finding the integral of the square root of the sum of the squares of the derivatives of the curve with respect to x. This formula is derived from the Pythagorean theorem, where the length of a small segment of the curve is equal to the square root of the sum of the squares of its horizontal and vertical components.

we first need to rewrite the given curve in terms of y, since the formula requires the derivative of y with respect to x. We then find the derivative and substitute it into the formula for length.

It is important to note that we only set up the integral and did not evaluate it. Evaluating the integral would require either integration by substitution or numerical integration methods.


we can set up an integral for the length of the curve x = y + y4 by using the formula for length and finding the derivative of y with respect to x. We then substitute these into the formula and obtain an integral that can be evaluated using integration techniques.

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254974₹ ieieooquyevfhfcufhf

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

The statement suggests that past champions of inequality are forgotten, while past champions of equality are remembered and celebrated. There could be several reasons for this disparity in how these champions are treated and remembered. One possible explanation is that champions of inequality often represent oppressive or discriminatory ideologies that society has rejected over time. On the other hand, champions of equality have fought for justice and equal rights, which align with societal values and aspirations. Additionally, the struggle for equality has been a long-standing and ongoing battle, and the contributions of those who have fought for it are recognized and celebrated as milestones in the progress towards a more just society. It is important to acknowledge and learn from history, both the positive and negative aspects, in order to create a more inclusive and equitable future.

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The point x = 0 is a singular point of the differential equation p(x) y + q(x) y' + r(x) y'' = 0.

We are given that y = x and y = x^2 are solutions of the differential equation p(x) y + q(x) y' + r(x) y'' = 0. Let us differentiate both of these solutions with respect to x:

y = x --> y' = 1

y = x^2 --> y' = 2x

Now, substitute these expressions for y and y' into the differential equation:

p(x) y + q(x) y' + r(x) y'' = 0

p(x) x + q(x) 1 + r(x) 0 = 0 (substituting y = x and y' = 1)

p(x) x + q(x) 2x = 0 (substituting y = x^2 and y' = 2x)

Simplifying the last equation, we get:

x( p(x) + 2q(x) ) = 0

We know that x = 0 is a solution to this equation, since both y = x and y = x^2 satisfy the differential equation at x = 0. Therefore, x = 0 is a singular point of the differential equation.

Therefore, the point x = 0 is a singular point of the differential equation p(x) y + q(x) y' + r(x) y'' = 0, since it satisfies the differential equation and both given solutions at x = 0

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Answer:

ithink 8470 the answer

Step-by-step explanation:

sana nakatulong

Multiply his earnings by 8%:

16490 x 0.08 = 1319.20

He spent £1,319.20

Answer:

1,172.5cm²

Step-by-step explanation:

Total surface area of a box = 2(LW + WH + LH)

L is the length = 11.5cm

W is the width = 7cm

H is the height = 1.5cm

Substitute

TSA = 2(11.5(7) + 7(1.5) + (11.5)(1.5))

TSA = 2(80.5+10.5+17.25)

TSA = 2(117.25)

TSA = 234.5cm²

Hence  the total surface area of a stack of five such compact disc boxes will be 5(234.5) = 1,172.5cm²

Answer:

-7/2

Step-by-step explanation:

cuz thats right

Answer:

okayy where is question

Step-by-step explanation:

[] Dividend is the number being divided

[] Divisor is the number being divided into

Word problem:

I have 1/2 of a cake left over from my birthday party. If I want to share it with 3 friends, how much of the cake does everyone get?

Solving:

1/2 / 3

\(\frac{1}{2} * \frac{1}{3}\)

\(\frac{1}{6}\)

Everyone will get \(\frac{1}{6}\) of the cake.

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

Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

\(r^2\) → (1 3)(2 4)(5 7)(6 8)

\(r^3\)→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)

\(sr^3\) → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

\(r^0\) = 1

\(r^1\)= r

\(r^2\) = rr

\(r^3\) = rrr

\(s^0\)= 1

\(s^1\) = s

\(s^2\) = 1

\(s^3\) = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)

\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

\(sr^2\) → (1 6 3 2)(4 7 5 8)

\(sr^3\) → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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Answer:

Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.

Step-by-step explanation:

There are many important reasons why you should make a will. some of them are:

Children-a will allows you to provide for children and the special needs of a loved one.You decide how your assets will be distributed on your death.Smart tax planning- a will can ensure the minimum amount of tax going to the State, unlike in an intestacy situation where there is no discretion.you choose who handles your affairs on death rather than having the law decide.It is cheaper and faster to administer your estate with a will, rather than an intestacy.Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.

The expression for the combined total number of miles Melissa biked in two days is x * (average speed from yesterday) + (total time - x) * (average speed from today).

Let x represent the number of hours Melissa biked yesterday. If she biked for a combined total time of hours and x hours yesterday, then she must have biked (total time - x) hours today.

To calculate the combined total number of miles, we multiply the number of hours biked on each day by their respective average speeds and add them together.

Therefore, the expression for the combined total number of miles she biked is x times the average speed from yesterday plus (total time - x) times the average speed from today. This expression takes into account the different average speeds for each day and the respective durations of biking.

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Answer:

X=3.6 Degrees for the smaller angle

49*3.6=176.4 for th larger angle

Step-by-step explanation:

I think I not rlly good at geo

This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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Answer:

160 words

Step-by-step explanation:

Therefore, the correct triple integral in cylindrical coordinates that allows us to find the volume of the region bounded by the two paraboloids is:

∫∫∫(D)dzrdrdθ, with the limits of integration.

In cylindrical coordinates, the conversion equations are:

x = r cosθ

y = r sinθ

z = z

Let's express the equations of the paraboloids in cylindrical coordinates:

For the paraboloid z = 2x² + 2y² - 4:

Substituting x = r cosθ and y = r sinθ:

z=2(rcosθ)²+2(rsinθ)²−4z

=2r²(cos²θ+sin²θ)−4z

=2r²−4

For the paraboloid z = 5x² - y²:

Substituting x = r cosθ and y = r sinθ:

z = 5(r cosθ)² - (r sinθ)²

z = 5r²(cos²θ - sin²θ)

Now, let's determine the limits of integration for each variable:

For cylindrical coordinates, the limits are:

0 ≤ r ≤ ∞ (since x ≥ 0)

0 ≤ θ ≤ 2π (to cover the full circle)

For z, we need to find the bounds of the region defined by the paraboloids. The region is bounded between the two paraboloids, so the upper bound for z is the equation of the upper paraboloid, and the lower bound for z is the equation of the lower paraboloid.

Lower bound for z: z = 2r² - 4

Upper bound for z: z = 5r²(cos²θ−sin²θ)

Now, we can set up the triple integral in cylindrical coordinates for finding the volume:

∫∫∫(D)dzrdrdθ

The limits of integration are:

0 ≤ r ≤ ∞

0 ≤ θ ≤ 2π

2r²−4≤z≤5r²(cos²θ−sin²θ)

Therefore, the correct triple integral in cylindrical coordinates that allows us to find the volume of the region bounded by the two paraboloids is:

∫∫∫(D)dzrdrdθ, with the limits of integration as mentioned above.

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Answer:

the answer is B) 1

Step-by-step explanation:

hoped i helped

Answer:

is a because 5×0=0 so its a 5 to the 0 power