what is the volume of this?

Answer:

0.032 is the answer

Step-by-step explanation:

hope this helps!

Answer:

Check image below. :)

Answer:

Fractions- 1/4, 1/10

Decimal- 0.5, 0.2

Percentage- 33.3%, 12.5%

Step-by-step explanation:

100/25 = 4, 100/10 = 10

1/2 = 0.5, 1/5 = 0.2

0.333x100 = 33.3, 0.125x100= 12.5

Answer:

m = 4.58  

Step-by-step explanation:

Given equation :

2.4 ( m - 3) = 3.8

So now we open the brackets and multiply the terms.

⇒ 2.4 m - 7.2 = 3.8

⇒ 2.4 m = 3.8 + 7.2

⇒ 2.4 m = 11

⇒ m = \(\frac{11}{2.4}\)

⇒ m = 4.58

Therefore, the correct value of the variable m by solving the equation is 4.58

The conclusion that Catherine must have just eaten because she took aspirin is an example of inductive reasoning.

Inductive reasoning involves drawing general conclusions based on specific observations or evidence. In this case, the specific observation is that Catherine took aspirin, and the general conclusion is that she must have just eaten.

Inductive reasoning relies on the idea that if a specific observation or evidence is consistently true, then a general conclusion can be inferred. However, it does not guarantee certainty. While it is likely that Catherine took aspirin after eating, there is still a possibility that she took it without eating, making the conclusion probabilistic rather than definitive.

Inductive reasoning is commonly used in everyday life to make predictions, form hypotheses, or draw general conclusions based on limited information or past experiences. It helps to make reasonable assumptions, but it is important to recognize its limitations and the possibility of alternative explanations.

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Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Answer:

\(f(x) = (x - 2)(x + 2)\)

or

\(f(x) = x^{2} - 4\)

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(\(\sqrt{x}\) )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

For y-fx)=xex-5, when x= 5 and dx=0.1 : dy Hence the linear approximation using dy is f(5.1)-f(5)+dy)= 0%:  the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

The problem is asking for the linear approximation of the function f(x) = xex-5 at x=5 using dy, when dx=0.1.

To begin, we need to find dy. We can do this by taking the derivative of f(x) with respect to x and then plugging in x=5 and dx=0.1:

f'(x) = ex + xex-5
f'(5) = e^5 + 5e^0 = e^5 + 5

dy = f'(5) dx = (e^5 + 5)(0.1) = e^5/10 + 0.5

Now we can use the linear approximation formula:

f(x+dx) ≈ f(x) + f'(x) dx

Plugging in x=5, dx=0.1, and dy=e^5/10 + 0.5:

f(5.1) ≈ f(5) + f'(5) (0.1) + dy
f(5.1) ≈ (5e^0) + ((e^5 + 5)(0.1)) + (e^5/10 + 0.5)
f(5.1) ≈ 5.7e^0 + 1.05e^5 + 1

Finally, we can check the accuracy of this linear approximation by calculating the percentage error:

(f(5.1) - f(5) - dy) / f(5.1) x 100%

= [(5.7e^0 + 1.05e^5 + 1) - (5e^0 + e^5 - 5) - (e^5/10 + 0.5)] / (5.7e^0 + 1.05e^5 + 1) x 100%

= -0.0005%

Therefore, the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

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To derive a recurrence for the average number L(n) of rounds needed to elect a leader in a city with n people, we can consider the following scenario:

In each round, every person in the city randomly chooses another person as their representative. Then, all the chosen representatives vote for a leader, and if there is a single candidate with a majority of votes, that person becomes the leader. Otherwise, a new round is initiated.

Now, let's analyze the probability of electing a leader in one round. For a person to be elected as a leader, they must receive more than half of the votes in that round.

Therefore, the probability of any particular person being elected as a leader in one round is\((1/n) * (1/n) = 1/n^2.\) However, there are n people in the city, so the total probability of electing a leader in one round is n * Hence, we can derive the recurrence relation for L(n) as follows:

L(n) = 1 + (1/n) * L(n-1)

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If you apply the law of detachment to the conditional "if you have a square, then you have a rectangle," you can conclude that if you have a square, you must also have a rectangle.

This is because the law of detachment states that if a conditional statement is true and the antecedent (the "if" clause) is also true, then the consequent (the "then" clause) must also be true.

In this case, the conditional "if you have a square, then you have a rectangle" is true because all squares are rectangles (since a rectangle is defined as a geometric figure with four straight sides and four right angles). Therefore, if you have a square, you can conclude that you also have a rectangle.

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The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot.

So the volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

The quantity of cubic feet can be multiplied by 29.9220779 to get the conversion to quarts. For instance, if you have a container with a 2 cubic foot volume, the quantity of quarts in that container would be:2 cubic feet multiplied by the US liquid quart density of 29.9220779 gives 59.8441558 US quarts. The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

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A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these. A single term or a collection of phrases can be used to create an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.

Expressions that use numbers to perform operations. An example of a numerical expression is 2(3 + 8). At least one variable and one operation must be present in an algebraic expression (addition, subtraction, multiplication, division). One such algebraic expression is 2(x + 8y).

The following elements can be used to determine the algebraic expressions: a single variable or a group of related variables.

              = 6/6 /546/60

               =1 / 9.1

              =0.109

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Step-by-step explanation:

Hello, there!!!

Let's simply work with it,

Firslty let's assume the whole cake, when you assume the cake in whole. you get,

length (l)= 16 in

breadth (d)= 6 in

and height (h)= 4 in

now, as it is a rectangle shaped cake,

volume of a whole cake (v)= l×b×h

or, v= 16 in × 6 in × 4 in.

Therefore, the volume of whole cake is 384 cubic inch.

now,

let's find the volume of eaten part,

As per the picture, the 1/4th part of cake is eaten so,

length = 8 in

breadth = 3in

and height = 4in.

so, volume of eaten part = l × b × h

v= 8in × 3in × 4in

Therefore , v= 96 cubic inch.

now, lastly finding the volume of remaining part,

v. of remaining part = v.of whole cake - v. of eaten part.

or, v. of remaining part = 384 in^3 - 96 in^3

Therefore, the volume of remaining part is 288in^3.

Hope it helps....

Answer: 3.9737436e-13

Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018=  3.9737436e-13.

Let the shorter piece be x. The longer piece is 4 times the length of the other, so it is 4x.

4x + x = 160.

5x = 160

x = 32

4x = 128

The length of the shorter piece is x, which is 32.

The coordinates of point C are C(0,-sqrt(36 - x²))

An equilateral triangle has all sides of equal length and all angles of 60 degrees. Since the triangle is in the fourth quadrant, so we know that both the x and y coordinates of point C must be negative.

We can use the distance formula to find the length of the sides of the triangle:
AB = sqrt((0 - 0)² + (-6 - 0)²) = 6
BC = sqrt((x - 0)²+ (y - 0)²) = AC = sqrt((x - 0)² + (y - (-6))²) = sqrt(x² + (y + 6)² = 6

We may now use the notion that all angles in an equilateral triangle equal 60 degrees. We know that point A is at (0,-6) and point B is at (0,0), therefore we can use the slope of line AB and the length of the side to compute point C's coordinates.


Line AB has a slope of (0 - (-6))/(0 - 0) = 6/0 = undefined.The slope of a line perpendicular to AB is the negative reciprocal of AB's undefined slope; so, line AB is parallel to the x-axis. So C(x,y) has the same x-coordinate as B(0,0) but a different y-coordinate.

The length of the side is 6, so we can use this information to find the y-coordinate of point C:
y = sqrt(6² - x²) = sqrt(36 - x²)= -sqrt(36 - x²)

So, the coordinates of point C are C(0,-sqrt(36 - x²))

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The area of the triangle is 31.54 square units

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

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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The correct option is (a) function f is defined for all x.

Given that f(5) < 6, it only provides information about the specific value of f at x = 5 and does not provide any information about the behavior or properties of the function outside of that point. Therefore, we cannot infer anything about the continuity, increasing or decreasing nature, or the existence of a limit at any other point or interval. The only conclusion we can draw is that the function is defined at x = 5.

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Step-by-step explanation:

-1 × -3/10

=> 3/10

Multiplicative Inverse/Reciprocal of 3/10 = 10/3

Answer:

a

Step-by-step explanation:

Answer:

your answer is FandE happy to help :))))

It is given that the longer leg is 4 cm longer than the shorter leg.

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the shorter leg be x.

The longer leg be y.

Then the relation formed is

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the hypotenuse is z.

Then the perimeter of the right triangle is the sum of all the sides.

But to find the value of x , use the Pythagoras theorem.

Substitute the values.

Solve the quadratic equation to find the value of x.

As x cannot be negative , then the value of x is 12.

The length of shorter leg is 12.

The length of longer leg is 12+4=16.

The hypotenuse is 12+8=20.

Now , the perimeter of right triangle is

The perimeter of the triangle is 48 cm.

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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