prove that the cube root of 5 is irrational. (state the lemma that you will need in the proof. you do not need to prove the lemma.)

In this argument, the conclusion is supported by premises. Hence the statement is true and is an example of deductive argument.

The conclusion that Rick isn't a Raiders fan is supported by the premises that no members of the Edwards Country Club are Raiders fans and that Rick is a member of the Edwards Country Club. This is an example of a deductive argument, where the conclusion logically follows from the premises.

Hence, to say that in this argument conclusion is supported by premises is true. The conclusion "Rick isn't a Raiders fan" is supported by the premises 1) no members of the Edwards Country Club are Raiders fans, and 2) Rick is a member of the Edwards Country Club.

Note: The question is incomplete. The complete question probably is: 1. no members of the Edwards country club are raiders fans. 2. rick is a member of the Edwards country club. 3. so, rick isn't a raiders fan. in this argument, the conclusion is supported by premises. True or false.

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The first molecule will have a ZERO dipole moment since all the F atoms are at 120 degree making the net dipole zero.

A molecule is a group of two or more atoms held together by chemical bonds; depending on the context, the term may or may not include ions that meet this criterion.

A molecule is a particle composed of two or more atoms that are chemically bonded together; the number of atomic nuclei constituting a molecule is fixed. HCl(g), for example, is a molecule composed of one hydrogen atom bonded to one chlorine atom. It is a diatomic molecule because it is composed of two atoms.

The second molecule will have a NON ZERO dipole moment. The net dipole moment will be downwards. The third molecule will have a NON ZERO dipole moment.

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If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.

To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294

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The cosine of the angle between v and w is 0.9332

To find the cosine of the angle between v and w, we can use the formula:

cos(Ф) = (v.w) / (||v|| ||w||)

where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:

v.w = 8*2 + 3*2 + 5*2 = 32

Next, let's calculate the magnitudes of v and w:

||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)

||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)

Now we can substitute these values into the formula:

cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332

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Answer:

x=8

Step-by-step explanation:

Angle bisector means it cute the big angle into two equal, smaller angles (like cutting a piece of cake in half)

therefore, you can set both smaller angles equal to each other, then solve for x

4x+1=33   Subtract 1 from both sides

4x=32      Divide both sides by 4

x=8

You'll get it, keep studying! :)

The following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

For question 6:

a). (40/360) × π × 3 in × 3 in = π in²

b). (135/360) × π × 8 cm × 8 cm = 24π cm²

For question 7:

a). (90/360) × π × 6 cm × 6 cm = 9 cm²

b). (60/360) × π × 10 in × 10 in = 16.7π in²

Therefore, the following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

G

Step-by-step explanation:

Rise 4 go over 5

Answer:

G has the slope of 4/5

Step-by-step explanation:

Hope this helps :)

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

The force produced when two surfaces collide and slide against one another is known as frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces..

Given that,

8 kg is indicated as the sled[mass. ]'s

The fictional force is given as 2.4 N

A force of 20 N was exerted on the sled at angle of 50⁰.

The force is split into vertical and horizontal components,

\(F_{h} =F_{p}cos\)  And  \(F_{v}=F_{p} sin\)

Here  \(F_{h}\) is the horizontal component and \(F_{v}\)  is the vertical component.

\(F_{h} =20\) × \(cos50\) = 12.85575219 N

Similarly,  \(F_{v} =\) 20 × \(sin50=15.32088886 N\)

Since there is no motion in the vertical direction, the sum of the vertical components is 0.

Hence, \(F_{N}\)+\(F_{P}sin =mg\) where g is the acceleration due to gravity.

\(F_{N}=mg-F_{p}sin50\)⁰

\(F_{N}=8\) × \(9.8-15.32088886\)  [In this case, g is 9.8 m/s²]

= 63.1 N

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

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The orthonormal set derived from the original set is {(-1/√10, 3/√10), (3/√2, 1/√2)}.

(a) We must prove that the dot product of the set of vectors (-1, 3), and (15, 5) in R² is zero in order to show that they are orthogonal.

Ac + bd is the formula for the dot product of the two vectors (a, b) and (c, d). Let's determine the dot product of the vectors provided:

(-1, 3) · (15, 5) = (-1)(15) + (3)(5) = -15 + 15 = 0.

The set (-1, 3), (15, 5) is orthogonal because the dot product of the two vectors is zero.

(b) We divide each vector by its magnitude (length) to create unit vectors in order to normalize the set and create an orthonormal set.

(A² + B²) provides the magnitude (length) of a vector (a, b). Let's determine the magnitudes of the vectors provided:

||(-1, 3)|| = √((-1)² + 3²) = √(1 + 9) = √10,

||(15, 5)|| = √(15² + 5²) = √(225 + 25) = √250 = 5√2.

By dividing each vector by its magnitude, we may normalize the vectors:

=((-1, 3) / √10, (15, 5) / (5√2))

= (-1/√10, 3/√10), (15/(5√2), 5/(5√2))

= (-1/√10, 3/√10), (3/√2, 1/√2).

The orthonormal set that results from the original set is therefore (-1/10, 3/10), (3/2, 1/2).

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Answer:

31 chickens

Step-by-step explanation:

Each cow has 4 legs (4x) Each chicken has 2 legs (2y) if there are 35 heads that means that in total there are 35 animals. Important to note is the 78 legs

Imma be honest, i just used guess and check.

20 cows = 80 legs, that's too much

18 cows = 72 legs, plus 34 from the 17 chickens, too much

15 cows = 60 legs. that'd be 20 chickens for 40, still too much

12 cows = 48 legs. that'd be 23 chickens, 46 legs. that still adds too to much

10 cows = 40 legs, with 25 chickens that be 50, still, to much

8 cows = 32 legs, with 27 chickens that's 54 legs for a total of 86, still, too much

6 cows = 24 legs, with 29 chickens that 59 legs for a total of 83.

4 cows = 16 legs, with 31 chickens that's 62 legs, total is 78. there we go.

4 cows, 31 chickens.

Is it the right way? no. But it's how I do it.

-- Gage Millar, Algebra 1/2, Geometry, Pre-Calc Tutor

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

\(d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 5})^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \: \\ = 9.4339811\)

We have the final answer as

Hope this helps you

The maximum number of students in Amando's first class is 22.

Let x be the number of students in Amando's first class.

He gave each student 2 doughnuts, so he gave out 2x doughnuts in total.

He also gave 1 doughnut to each of his 4 teachers, for a total of 4 doughnuts.

Therefore, he used 2x + 4 doughnuts in total.

He started with 48 doughnuts, so he must have at least 48 - (2x + 4) doughnuts left over for his teachers.

The inequality to express this situation is: 48 - (2x + 4) ≥ 0

Simplifying this inequality, we get: 44 - 2x ≥ 0

Dividing both sides by -2 (and flipping the inequality sign), we get: x ≤ -22

Since x represents the number of students in Amando's first class, we cannot have a negative number of students. Therefore, we must take the maximum value of x that satisfies the inequality, which is x = 22.

So, the maximum number of students in Amando's first class is 22.

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Answer:

20 ringgits.

Step-by-step explanation:

Ratio of $1:4 ringgits

5 * 4=20

Step-by-step explanation:

oh, come on ! we are dealing with rectangles.

and you know how to get the perimeter and the area of a rectangle. upper elementary school students can do that.

remember, the perimeter is the distance when you walk all around the rectangle.

so, 2 times the length and 2 times the width.

and the area is simply length × width.

but your teacher was very lazy and careless with some phrasing about what is needed.

the original room is 8 ft × 3 ft.

1.

the length of border needed is exactly the perimeter.

so,

2×8 + 2×3 = 16 + 6 = 22 ft

2.

the area of the floor is

8×3 = 24 ft²

this is the amount of floor panels to be bought. we buy them in ft².

3.

the new room is (8+3) ft × (3-2) ft. = 11 ft × 1 ft.

that is a very strange room. no human can live in such a room.

I think your teacher meant (8-2) ft × (3+3) ft = 6 ft × 6 ft.

but let's stick with the original information.

the border for this room (perimeter) is

2×11 + 2×1 = 22 + 2 = 24 ft

4.

the floor area is

11 × 1 = 11 ft²

if we consider my correction of the room size, it is

6×6 = 36 ft²

5.

"difference in size" is not clear. regarding the dimensions (side lengths and correspondingly the perimeter) or regarding the floor size ?

if we consider the perimeter, the difference is

24 - 22 = 2 ft

the new room's perimeter is 2 ft less.

if we consider the floor area, the difference is

24 - 11 = 13 ft²

the new room is 13 ft² smaller.

or for my size correction, the difference is

36 - 24 = 12 ft²

the new room is then 12 ft² larger.

Answer:

70

Step-by-step explanation:

20 x 7 = 140 divided by 2 = 70

Since 3n² + 6n is both O(n² log n) and Ω(n² log n), we can conclude that it is indeed Θ(n² log n).

To prove that 3n² + 6n is in Θ(n² log n), we need to show both the upper and lower bounds.

First, we will prove the upper bound by showing that 3n² + 6n is O(n² log n). This means we need to find constants c and n₀ such that 3n²+ 6n ≤ c(n² log n) for all n ≥ n₀.

Let's simplify the expression 3n² + 6n:

3n² + 6n ≤ 3n² + 6n² (for n ≥ 1, since n is always positive)

            = 9n²

Now, we can set c = 9 and n₀ = 1. For all n ≥ 1:

3n² + 6n ≤ 9n² (which is the same as c(n²))

           ≤ 9n² log n

Therefore, we have shown that 3n² + 6n is O(n² log n), satisfying the upper bound.

Next, we will prove the lower bound by showing that 3n² + 6n is Ω(n² log n). This means we need to find constants c and n₀ such that 3n²+ 6n ≥ c(n² log n) for all n ≥ n₀.

Let's simplify the expression 3n² + 6n:

3n² + 6n ≥ 3n² (for n ≥ 1, since n is always positive)

            = 3n² log n

Now, we can set c = 3 and n₀ = 1. For all n ≥ 1:

3n² + 6n ≥ 3n² log n (which is the same as c(n² log n))

Therefore, we have shown that 3n² + 6n is Ω(n² log n), satisfying the lower bound.

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Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

60 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already 40 and 80 degrees.

So... 180-80-40=60 degrees.

Hope this helps :D

Answer:

A

Step-by-step explanation:

\( { \sqrt[n]{x} }^{m} = {x}^{ \frac{m}{n} } \)

⁴√ x⁵ = x^[5/4]

Answer:

10.3

Step-by-step explanation:

Use the pythagorean theorem.

3.9^2 + x^2 = 11^2

x^2 = 105.79

x = 10.3

\(\textbf{Heya !}\)

use the slope-formula:-

\(\sf{\cfrac{y2-y1}{x2-x1}}\)

put-in the values

\(\sf{\cfrac{-2-1}{1-(-3)}}\)

\(\sf{\cfrac{-3}{1+3}}\)

\(\sf{\cfrac{-3}{4}\)

\(\sf{-\cfrac{3}{4}}\)

`hope it's helpful to u ~

The sumerian mathematical system was based on units of sixty, ten, and six and survives in what modern system time measurement.

Sumer (a region of Mesopotamia, present-day Iraq) is sometimes referred to as the Cradle of Civilization because it was the origin of writing, the wheel, agriculture, the arch, the plow, irrigation, and many other accomplishments.

We really know more about ancient Sumerian and Babylonian mathematics than we do about early Egyptian mathematics because the Sumerians invented the first known writing system, the pictographic cuneiform script, which uses wedge-shaped symbols engraved on baked clay tablets. In fact, we even have math and geometry problems that seem like school exercises.

The base number 60 was created by adding a "celestial" 6 and a "common" 10 in the Sumerian "sexagesimal" system.

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Answer:

2

Step-by-step explanation:

4/8 cup = 1/2 cup, and 1/2 cup is twice 1/4 cup.

Answer: 2

the lateral area of the given regular prism is 100 square centimeters.

Given:

Base of the prism is a square with a side of 2 cm.

Height of the prism is 125 mm.

First, let's convert the height to centimeters since the base side length is given in centimeters:

125 mm = 12.5 cm (as there are 10 mm in 1 cm).

The lateral area of a prism can be calculated by multiplying the perimeter of the base by the height. Since the base of the prism is a square, the perimeter is given by 4 times the length of one side.

Perimeter of the base = 4 * side length

Substituting the given side length:

Perimeter of the base = 4 * 2 cm = 8 cm

Now, we can calculate the lateral area:

Lateral area = Perimeter of the base * Height

Lateral area = 8 cm * 12.5 cm

Lateral area = 100 cm²

Therefore, the lateral area of the given regular prism is 100 square centimeters.

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Answer:

25

Step-by-step explanation:

Move -29 to the other side, so

v=-4+29

v=25

Answer:

----------------------

The bottom part is a cylinder with:

The top is a cone with:

Find the total volume of the solid by adding up the volumes.

Volume of the cylinder:

Volume of the cone:

Volume of the solid:

The volume of the solid is 2880.43 ft³ .

The object is made up of a cylinder and a cone. The volume of the object would be the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

π = pi = 3.14

r = radius = diameter / 2 = 16 / 2 = 8

h = height = 12.5

3.14 x 8² x 12.5 = 2512 ft³

Volume of a cone = 1/3 πr²h

H = 18 - 12.5 = 5.5 feet

1/3 x 3.14 x 8² x 5.5 = 368.43 ft

Volume of the solid = 2512 ft³ + 368.43 ft = 2880.43 ft³

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Answer:

Answer is D. -16+(-9)

Step-by-step explanation:

Subtracting is basically adding a negative.

Answer:

D. -16+(-9)

because we just did this in class today sorry about the answer C

Answer:

576π

Step-by-step explanation:

Surface Area of a Sphere

Given

Solving