Which is an equation in point-slope form of the line that passes through the points (4, 5) and (-3, - 1)?
Oy-1= (x - 3)
Oy+1= $(x+3)
Oy+1= (x+3)
Oy+3= (x + 1)

If she filled the pool 3/4 of the way with water then 6561 π cubic inches  water did Ms. Morales put in the pool in terms of pi

The pool is a cylinder, so its volume can be calculated using the formula:

V = πr²h

where V is the volume, r is the radius, and h is the height.

Given the diameter of the pool is 54 inches, the radius (r) is half of it, which is 27 inches.

Plugging in the values, we get:

V = π(27)²(12)

V = 27²π(12)

V = 8748π cubic inches

Now, if Ms. Morales filled the pool 3/4 of the way with water, the volume of the water would be:

Volume of water = 3/4 x  8748 π

= 6561 π cubic inches

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Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

Answer:

The distance is 28

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

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Answer:

that's hard bro what grade are you in

Answer:

4,200 or 420

Step-by-step explanation:

4,200 if its 42,000 420 if its 4200 also 10 divided by 42000 or 10 divided by 4200.

Therefore, the answer is 225 cents.

When an international calling plan charges 45 cents per minute or fraction of a minute for each call, the cost for making a 5-minute call is 225 cents.What is an international calling plan?

An international calling plan is a type of phone plan that allows people to make calls to other countries at lower rates than they would normally be charged. The cost of a call will vary depending on the country and the duration of the call. The per-minute rate may be used to calculate the cost of making an international call when an international calling plan charges 45 cents per minute or fraction of a minute for each call.

If a 5-minute call is made under the given circumstances, the cost of the call will be\( 5 x 45 = 225 \)cents.

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CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

The Packing Cube method and something else I cant remember it.

Step-by-step explanation:

Answer:

9>a

Step-by-step explanation:

The greater than symbol is >

The less than symbol is <

It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.

Answer:

9>a

Step-by-step explanation:

the side with the bigger opening means that side of the inequality has a greater value  so since 9 is greater than a the bigger opening will go to 9.

Answer:

4000 $ is the same so answer > 4000

Step-by-step explanation:

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

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Answer:

Height Length: ( About ) 3.3 yards; Option B

Step-by-step explanation:

~ We are given the Area of this triangle, so let us apply the area of a triangle formula 1/2 * base * height ~

The base is known the be 4.1 yards, the Area 6.8 yards^2, so let us substitute these values into the formula for a triangle as to solve for height. At the same time let us declare x ⇒ height of the triangle:

6.8 = 1/2 * 4.1 * x,

6.8 = 2.05 * x,

x = 6.8/2.05,

Height Length: ( About ) 3.3 yards

The radius of the object is 19.4 inches

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

Given that

C = 122 inches

The circumference is calculated as

C =2pi r

So, we have

2pi r = 122

This gives

r = 122/(2pi)

Evaluate

r = 19.4

Hence, the radius is 19.4 inches

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The inflection points of the given function are at x = 0 only. The answer is D.

To find the inflection points of the given function, we need to find the second derivative of the function and set it equal to zero.

y = 5x^4 - x^5

y' = 20x^3 - 5x^4

y'' = 60x^2 - 20x^3

Setting y'' = 0, we get:

60x^2 - 20x^3 = 0

20x^2(3 - x) = 0

x = 0 or x = 3

Now, we need to determine whether these values of x correspond to inflection points. To do this, we can examine the sign of the second derivative in the intervals around each value of x.

For x < 0, y'' is positive (since both terms are positive), so there is a local minimum at x = -3.

For 0 < x < 3, y'' is negative (since 60x^2 < 20x^3), so there is a point of inflection at x = 0.

For x > 3, y'' is positive (since both terms are positive), so there is a local minimum at x = 3.

Therefore, the inflection points of the given function are at x = 0 only. The answer is D.

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Use analytic methods,

(a) The local extrema,

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

Given that,

Use analytic methods (a) the local extrema, (b) the intervals on which the function is increasing, and (c) the intervals, then the function is,

A function's growing (or decreasing) periods match the periods when its derivative is positive (or negative). As a result, we can easily determine the intervals where a function increases or decreases by taking its derivative and analyzing it to determine if it is positive or negative.

Let f be continuous on an open interval (a , b) that contains a critical x-value.

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

Therefore,

Use analytic methods,

(a) The local extrema,

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

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Answer:

For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.

As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable \(u\). This results in the the term \(5.2u\), with the coefficient being 5.2 and the variable being \(u\).

The complexity, reliability, and context of the evidence collected are some of the reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

There are several reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

Firstly, different types of evidence require different analytical techniques, as they have varying degrees of complexity. For example, analyzing DNA evidence requires a different set of analytical tools compared to analyzing physical evidence like fingerprints or footprints.

Secondly, the reliability of the evidence also plays a significant role in the analytical scheme. Some types of evidence may be more subjective than others, and the interpretation of the results may be open to bias or misinterpretation. In such cases, a simple analytical scheme may not provide accurate or reliable results.

Finally, the context in which the evidence is collected also plays a crucial role in determining the analytical scheme. The location, timing, and circumstances of the evidence collection may affect the reliability and accuracy of the results. Therefore, a simple analytical scheme may not be able to accommodate all the variables and nuances of the evidence collected in different contexts.

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Answer:

$45.72

Step-by-step explanation:

16×3=48

48×0.0475(4.75%)=2.28. <----- tax

2.28+48=45.72

The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10

So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).

In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D

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Answer:

x=\frac{7+\sqrt{249}}{10},\:x=\frac{7-\sqrt{249}}{10}

Step-by-step explanation:

Answer:

f(x) = 5x^2−7x−10

Step-by-step explanation:

Quadratic equation standard form is f(x) = ax^2 +bx + c . All you had to do was add 3 to both sides of the equation to change this into standard form. :)

(a) The relation is a partial order.

(b) The relation is neither a partial order nor a strict order.

(c) The relation is a partial order.

(d) The relation is a partial order.

(e) The relation is a partial order.

(f) The relation is a partial order.

(g) The relation is neither a partial order nor a strict order.

(h) The relation is a strict order.

(i) The relation is neither a partial order nor a strict order.

The relation which can be partial, strictly partial or neither are:

(a) The relation is a partial order.

It is reflexive (every word is related to itself),

antisymmetric (if x is related to y and y is related to x, then x and y are the same word),

and transitive (if x is related to y and y is related to z, then x is related to z).

However, the relation is not a total order because there are pairs of words that are not comparable (e.g., "apple" and "zebra").

(b) The relation is neither a partial order nor a strict order.

It is not reflexive (a word is not a substring of itself unless it consists of a single letter),

and it is not transitive (if "logical" is a substring of "topological"

and "topological" is a substring of "biology," it does not mean that "logical" is a substring of "biology").

Therefore, it cannot be a partial or strict order, and it is not a total order.

(c) The relation is a partial order.

It is reflexive (a tower can communicate with itself),

antisymmetric (if tower x can communicate with tower y and vice versa, then x and y are the same tower),

and transitive (if tower x can communicate with tower y and tower y can communicate with tower z, then x can communicate with z).

However, the relation is not a total order because there may be pairs of towers that cannot communicate with each other due to the distance constraint.

(d) The relation is a partial order.

It is reflexive (y = 3 · 1 · x, so x is related to itself),

antisymmetric (if y = 3 · n · x and y = 3 · m · x for positive integers n and m, then n = m),

and transitive (if y = 3 · n · x and z = 3 · m · y for positive integers n and m, then z = 3 · (n · m) · x).

However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 5).

(e) The relation is a partial order.

It is reflexive (\(x^1\) = x, so x is related to itself),

antisymmetric (if \(x^n\) = y and \(y^m\) = x for positive integers n and m, then \(x^{(n m)\) = x),

and transitive (if \(x^n\) = y and \(y^m\) = z for positive integers n and m, then \(x^{(n m)\) = z).

However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 3).

(f) The relation is a partial order.

It is reflexive (a ≤ a and b ≤ b for any integers a and b),

antisymmetric (if a ≤ c and c ≤ a, then a = c, and if b ≤ d and d ≤ b, then b = d),

and transitive (if a ≤ c and c ≤ e, then a ≤ e and if b ≤ d and d ≤ f, then b ≤ f).

Moreover, the relation is a total order because for any pair of elements, they are comparable (either a ≤ c and b ≤ d or c ≤ a and d ≤ b).

(g) The relation is neither a partial order nor a strict order.

It is not reflexive (a player is not taller or weighs more than themselves),

and it is not transitive (if player x is taller than player y and player y is taller than player z, it does not imply that player x is taller than player z).

Therefore, it cannot be a partial or strict

(h) The relation is a strict order.

It is irreflexive (a runner cannot beat themselves),

asymmetric (if x beat y, then y cannot beat x),

and transitive (if x beat y and y beat z, then x must beat z).

Since it is a strict order, it is not a total order because there may be pairs of runners that are not comparable.

(i) The relation is neither a partial order nor a strict order.

It is not reflexive (a runner cannot beat themselves unless there is a tie),

and it is not antisymmetric (if x beat y and y beat x, it implies a tie between x and y).

Therefore, it cannot be a partial or strict order.

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Answer:

A and D

Step-by-step explanation:

its A and D, trust

Answer: function

Step-by-step explanation: To determine whether the relation shown here

is a function, remember that a relation is a function if each x term

corresponds to exactly one y term.

In the data set show, each x term, -2, 9, 1, 3, and 10 appears only once.

This means that each x term corresponds to exactly one y term.

So yes, the relation is a function.

Answer:

Step-by-step explanation:

we know the 30% off the marked price.

so the sale price is 60-60*30%=42

Answer:$42.00

Step-by-step explanation: