Find the volume of a right circular cone that has a height of 7. 8 m and a base with a


diameter of 2. 3 m. Round your answer to the nearest tenth of a cubic meter.

The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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Using percentages we know that 20% is Miguel's profit as a percentage of the cost price.

So, the profit is $25.

We know that Miguel paid $125 for stamp collection.

Now, the profit Miguel made from the cost price:

25/125 × 100

0.2 × 100

20%

Therefore, using percentages we know that 20% is Miguel's profit as a percentage of the cost price.

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Spanish 45 and french 42. 5.The amount of things shared by the three sets of data should be entered first when attempting to solve a Venn diagram with three circles.

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Answer:

f(7)=-4

Step-by-step explanation:

f(7)=10-2(7)

f(7)=-4

Answer:

-4

Step-by-step explanation:

f(7)=10-2(7)

f(7)= 10-14

f(7)= -4

The subtraction is shown below:

The answer is:

75 - 26.5731 = 48.4269

Answer:

i would do last option

Step-by-step explanation:

We can not reject the null hypothesis at critical point .

Given,

Population mean =3750

Sample mean =3798.2612

Sample standard deviation=327.7649

Sample size =134

Here,

Null  hypothesis :

\(H_{0}\) : µ = 3750

Alternative hypothesis :

\(H_{1}\) : µ ≠ 3750

Apply test statistic formula:

\(t = x - u/s/\sqrt{n}\)

t = 3798.2612 - 3750/ 327.7469√134

t = 1.704

Degree of freedom :

df = n-1

df = 134 -1 = 133

P value is 0.091

P value  >  0.05

Therefore, we fail to reject \(H_{0}\).

We do not have sufficient evidence at \(\alpha\) =0.05 to say that his data are different than the historical data .

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Answer:

aw no me la seee lo.sientooo no puedooo

Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

So,

Therefore, Mr. Drew needs woods of a total length of 32 feet to make the sides of the sandbox.

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Answer:

35 participants for A

22 participants traveled more than 14 km for B.

Step-by-step explanation:

Answer:

  No

Step-by-step explanation:

You want to know if angles -345° and 2185° are coterminal.

Angles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.

  -345° / 360° = -1 remainder 15°

  2185° / 360° = 6 remainder 25°

These angles have different values, modulo 360°, so are not co-terminal.

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

p =√(y+4)/3

Step-by-step explanation:

y=3p^2-4

so 3p^2=y+4

then p^2=(y+4)/3

so p =√(y+4)/3

Answer:

Step-by-step explanation:

y=3p^2-4

so 3p^2=y+4

then p^2=(y+4)/3

so p =√(y+4)/3

Answer:

A "fair" coin lands heads-up half of the time and "tails-up" half of the time.

For one flip, the probability of landing heads-up is 1/2.

Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.

So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.

Step-by-step explanation:

The probability that coin lands heads-up and the die shows a five is 0.083.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, a person flip a coin and then roll a fair six-sided die.

The probability the coin lands heads-up is 1/2

The probability that die shows a five = 1/6

Now, the probability of an event = 1/2 × 1/6

= 1/12

= 0.083

Therefore, the probability that coin lands heads-up and the die shows a five is 0.083.

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Answer:

Step-by-step explanation:

where is the swan?

Answer:

Water gives in affect like this to a pencil in water as well. Refraction makes the object seem distorted or further away than you would expect.

Step-by-step explanation:

Answer: 1st # n=35

2nd # n+2=37

Step-by-step explanation:

n= 1st #

n+2= 2nd #

n+n+2=72

2n+2=72 ( combine like terms)

2n+2-2=72-2

2n=70

2n/2=72/2

n=35

Answer:

Step-by-step explanation:

x + x + 2 = 72

2x = 70

x = 35

35 + 2 = 37

Answer:2.500

Step-by-step explanation:

when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.

Z is an infinite cyclic group, meaning it has infinitely many cyclic subgroups generated by its elements.

To discover all cyclic subgroups in group Z, we must first analyze the elements and their powers in group Z.

Group Z, also known as the integers, consists of all positive and negative whole numbers, including zero.

In Z, a cyclic subgroup is produced by a single element which is raised to various powers to generate the member group.

In Z, every element generates a cyclic subgroup.

For example:

The element 0 forms the cyclic subgroup 0 which merely includes the component 0 alone.

The element 1 generates the cyclic subgroup {0, 1, -1, 2, -2, 3, -3, ...} which contains all the positive and negative integers.

The element 2 generates the cyclic subgroup {0, 2, -2, 4, -4, 6, -6, ...} which contains all the even integers.

Similarly, any other element in Z will generate a cyclic subgroup.

In general, the cyclic subgroup created by an element n in Z is provided by the sequences 0, n, -n, 2n, -2n, 3n, -3n,..., containing all multiples of n.

So, to find all cyclic subgroups in Z, we consider all the elements in Z and their corresponding multiples.

Note: Z is an infinite cyclic group, meaning it has infinitely many cyclic subgroups generated by its elements.

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A pictorial representation or a diagram that represents data or values in an organized manner. For function f(x)=-x+3, -3≤x≤3 the graph is in attachment.

A pictorial representation or a diagram that represents data or values in an organized manner.

Given f(x)=-x+3, -3≤x≤3

It means x values lies from -3 to 3

x        -3         -2      -1      0     1       2      3

f(x)      6         5       4       3     2      1       0

By taking the table values we can draw a graph.

Therefore the attached graph is the graph for f(x)=-x+3.-3≤x≤3.

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Answer:

( p - 4 ) ( p - 12 ) = 0

Step-by-step explanation:

To factor this equation, let's apply the quadratic formula.

p^2 - 16p + 48 = 0

Let a = 1, b = -16, c = 48

[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)

[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)

= [ 16 +/- sqrt( 256 - 192) ] / 2

= [ 16 +/- sqrt(64) ] / 2

= [16 +/- 8] / 2

p = (16 + 8) / 2 ; p = (16 - 8) / 2

p = 24 / 2  ; p = 8 / 2

p = 12  ;  p = 4

Hence, this equation factors into the following:

( p - 4 ) ( p - 12 ) = 0

Cheers.

Remember that

If a triangle is a right triangle, then must satisfy the Pythagorean Theorem

In this problem

Verify the Pythagorean Theorem

we have that

7^2=4^2+4^2

49=16+16

49=32 -----> is not true

that means

Its not a right triangle

so

49 > 32

that means

Its an obtuse triangle (the triangle has one angle greater than 90 degrees)

The height of Ernies shadow is 4 feet when his height is 6 feet.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the length of his shadow. Given that the ratio of ernie's height to his shadow's height is 1.5 to 1. Hence:

(1/2.5) * 10 = x

x = 4 feet

The height of Ernies shadow is 4 feet when his height is 6 feet.

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Answer:

Your answer is <, Hope it helps.

p → q  represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.

The missing options are given below.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Then the true statement will be

Then the correct options are A and E.

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Answer:

56

Step-by-step explanation:

Step-by-step explanation:

54÷3

=18

one is 17

one is 18

the other is 19

The distance from y to the plane is:

distance = |47| / √30

= 47 / √30 (approximate value)

To find the distance from point y to the plane in ℝ³ spanned by u₁ and u₂, we can use the formula for the distance between a point and a plane. The formula is:

distance = |(y - p) · n| / ||n||

where y is the given point, p is a point on the plane, n is the normal vector to the plane, · denotes the dot product, and ||n|| represents the magnitude of the normal vector.

First, let's find the normal vector n by taking the cross product of u₁ and u₂:

n = u₁ x u₂

Calculating the cross product:

n = (-3, -5, 1) x (-1, 1, 2)

= (-32 - (-51), -12 - 1(-3), (-11 - (-31))

= (-1, -5, 2)

Now, let's choose a point on the plane. Since the plane is spanned by u₁ and u₂, any linear combination of u₁ and u₂ will lie on the plane. Let's choose the origin (0, 0, 0) as the point on the plane (p).

Using the formula, the distance from y to the plane is:

distance = |(y - p) · n| / ||n||

= |(6, -9, 4) · (-1, -5, 2)| / ||(-1, -5, 2)||

Calculating the dot product:

(6, -9, 4) · (-1, -5, 2) = 6*(-1) + (-9)(-5) + 42

= -6 + 45 + 8

= 47

Calculating the magnitude of the normal vector:

||(-1, -5, 2)|| = √((-1)^2 + (-5)^2 + 2^2)

= √(1 + 25 + 4)

= √30

Therefore, the distance from y to the plane is:

distance = |47| / √30

= 47 / √30 (approximate value)

Please note that the approximate value depends on the specific decimal approximation used for √30.

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If 2 angles are complementary, then they add up to 90 degrees. Therefore, you can find the measure of the complementary angle by subtracting 12 from 90, which is 78 degrees.

On solving the provided question we can say that - the removable discontinuity of f(x) located is -5

Discontinuous functions in graphs are those that have no connections to one another. Discontinuities come in three different flavors: removable, jump, and infinite.. If the left limit and the right limit of a function, f(x), are both different, then the function has a first-kind discontinuity at x = a. a characteristic that cannot be mathematically continuous. Continuous functions allow you to sketch without having to lift your pen. In such a case, the function is said to as discontinuous.

here,

f(x) = \(\frac{x+5}{x^2+3x-10}\)

\(x^2+3x-10\)

x(x+5) - 2(x+5)

(x+5 )(x-2 )

x = 2, -5

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