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Anne is pushing a wheelbarrow filled with mulch to place in her garden. She is pushing the wheelbarrow with a force of 70 N at an angle of 50° with the horizontal. How much work in joules is Anne doing when she pushes the wheelbarrow 25 meters? (Show work)

The given statement defines a function F(x) that associates a unique ordinal number α to each initial segment of a well-ordered set W. The function F(x) assigns the ordinal α to the initial segment of W determined by x if and only if α is isomorphic (structurally equivalent) to that initial segment.

To prove the uniqueness of the ordinal number associated with each initial segment, we rely on Lemma 2.7 (presumably mentioned earlier). This lemma likely establishes some properties of isomorphic well-ordered sets, such as uniqueness of isomorphisms or a specific correspondence between ordinals and well-ordered sets.

Using the Replacement Axioms, we can show that the set F(W) exists, as it is obtained by applying the function F to each element of W and collecting the results as a set.

For each initial segment of W, there exists an ordinal α that is isomorphic to that segment; otherwise, we can consider the least element r for which no such ordinal exists. By definition, F(r) does not have a well-defined value, contradicting the construction of F.

Finally, if y is the least element in the set F(W), then F(W) = y, and we have established an isomorphism between W and the ordinal y.

In summary, the proof demonstrates that for any well-ordered set W, there exists a unique ordinal number (denoted by F(W)) that is isomorphic to W, confirming the statement that every well-ordered set is isomorphic to a unique ordinal number.

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Answer: It will be A that is the best answers

Given :

The trigonometric functions are given

To find :

The value of sin 30 degree.

Answer:

Area of circle is equal A = πr²

Here r =  7.5 and π = 3.142

so,

A = 3.142(7.5)²

A = 176.17 after rounding off.

Answer:

TRUE

Step-by-step explanation:

i just know it :>

Answer:

61

Step-by-step explanation:

=48 - -13

= 48 + 13

=61

Answer:

7/2

Step-by-step explanation:

Answer:

Here:

Step-by-step explanation:

23. f(x) = \(\sqrt{x}\) and g(x) = \(x^2-5x\)

24. f(x) = \(x^2\) and g(x) = \(x^3+1\)

28. f(x) = \(e^x\) and g(x) = \(sinx\)

29. f(x) = \(cosx\) and g(x) = \(\sqrt{x}\)

Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function =  \(x^2-5x\). Same with f(x) = \(\sqrt{x}\) . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.

Answer:

x= -4

Step-by-step explanation:

5x/2= -10

×2       ×2

5x = -20

/5       /5

x = -4

Answer:

x=-4

Step-by-step explanation:

5x/5=-10/1 then we do cross multiplication which = to 5x/5= -20/5 so x=-4

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

Surface area

6a² = 6(10²) =600

Answer:

\(29 \\ \)

Solution:

According to the Pythagorean Theorem, is that the square of the hypotenuse is equal to the sums of squares of the two legs in which if you take the square root of the sum you are going to get the actual length of the hypotenuse but the two legs are already squared so all you have to do now is sum them and take the square root of it.

\( \sqrt{441 + 400} \\ \sqrt{841} \\ 29 \)

The diameter of the pulley is given as 20''.

The distance between two pulleys is 67''.

To determine the total length of belting needed for the pulley .

Use the formula.

Here L is the distance between two pulleys and DL is the diameter of the larger pulley

DS is the diameter of the smaller pulley.

Substitute the values,

Hence the total length of belting needed for the pulley is 196.8 in.

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Answer:

x = 9

Step-by-step explanation:

If p and q are parallel lines then the two angles are alternate interior angles and are equal

9x +8 = 15x - 46

Subtract 9x from each side

9x-9x +8 = 15x -9x - 46

8 = 6x - 46

Add 46 to each side

54 = 6x

Divide by 6

54/6 = 6x/6

9 =x

Answer:

Explanation:

This is because you have to first make the equations equal to each other. You do this because you can see that the angles are equal to each other meaning that they are the same amount of degrees. So the equation you will have is (9x + 8) = (15x - 46).

You can take off the parenthesis.

Subtract 8 from both sides.

This will lead to

Then you have to subtract 15x from both sides.

This will have a result of

When you do this you can see that there are 2 negatives. You can cancel these out. So it will look like

Finally, you have to simplify. Divide both sides by 6.

The final result is

Hope this helped

Answer:

-27

Step-by-step explanation:

first add 22 to both sides

-x/9=3

then isolate x by multiplying by 9

-x=27

x can't be negative so multiply by -1

x=-27

Answer:

x = -27

Step-by-step explanation:

Solve the equation by inverse operations and you get x = - 27

Answer:

4 a+8 ab+8b

Step-by-step explanation:

8 a-4 a+6ab+2ab+5 b+3 b

4 a+8 ab+8b

The requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

A system of simultaneous equations, also known as a system of equations, is a set of two or more equations that must be solved at the same time. In a system of two equations, for example, the solution is the set of values of the variables that satisfy both equations simultaneously.

Here,
Given equation are
_x + y = −5 - -- - - -(1)

y = −x + _ - - - - - (2)

Now,
Let the coefficient of x in equation 1 is m and the intercept of equation 2 be y,

In equation 1,
Put the given points (5, 5)
m(5) + 5 = - 5
5m = -10
m = -2

Now,
Put the same point equation 2 with C
5 = -5 + C
C = 10

Thus, the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

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Answer: A, and B

A) 894

B) 728

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation: 100÷10=10

big brain

Answer:

9 week and 4 days

Step-by-step explanation:

Answer:

friend me on here and imma send you the link Step-by-step explanation:

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

x = 18

Step-by-step explanation:

(6x + 1) and (5x + 19) are corresponding angles and are congruent , then

6x + 1 = 5x + 19 ( subtract 5x from both sides )

x + 1 = 19 ( subtract 1 from both sides )

x = 18

Answer:

its -1148.

Step-by-step explanation:

remember to use pemdas, do the parentheses first, then add and subtract from left to right

Answer: Where is the triangle? There is no picture.

9.3 ft³

use the rule:

\(\rightarrow \sf (\dfrac{V_1}{V_2} )= (\dfrac{h_1}{h_2} )^3\)

solve:

\(\rightarrow \sf (\dfrac{74\frac{2}{5} }{V_2} )= (\dfrac{10\frac{1}{3} }{5\frac{1}{6} } )^3\)

\(\rightarrow \sf (\dfrac{74\frac{2}{5} }{V_2} )= (2 )^3\)

\(\rightarrow \sf \dfrac{74\frac{2}{5} }{V_2} =8\)

\(\rightarrow \sf V_2 = \dfrac{74\frac{2}{5} }{8}\)

\(\rightarrow \sf V_2 = 9.3 \ ft^3\)

Answer:

Given:

\(\sf Height \ of \ Prism \ X = 10\frac13=\dfrac{(10 \times 3)+1}{3}=\dfrac{31}{3}\)

\(\sf Height \ of \ Prism \ Y = 5\frac16=\dfrac{(5 \times 6)+1}{6}=\dfrac{31}{6}\)

\(\sf Volume\ of \ Prism \ X = 74\frac25=\dfrac{(74 \times 5)+2}{5}=\dfrac{372}{5}\)

Prism X is a dilation of Prism Y.

⇒ Scale factor of dilation = height of Prism X ÷ height of Prism Y

                                          \(\sf =\dfrac{31}{3} \div \dfrac{31}{6}\)

                                          \(\sf =\dfrac{31}{3} \times \dfrac{6}{31}\)

                                          \(\sf =\dfrac63\)

                                          \(\sf =2\)

If Prism X is a dilation of Prism Y by scale factor 2, then Prism Y is a dilation of Prism X by scale factor \(\frac12\).

To find the volume of Prism Y, we simply need to multiply the volume of Prism X by the cube of scale factor \(\frac12\), since volume is measured in cubic units.

\(\sf \implies volume \ of \ Prism \ Y = volume \ of \ Prism \ X \times (scale \ factor)^3\)

                                    \(\sf = \dfrac{372}{5} \times \left(\dfrac12\right)^3\)

                                    \(\sf = \dfrac{372}{5} \times \dfrac18\)

                                    \(\sf =\dfrac{372}{40}\)

                                    \(\sf =\dfrac{93}{10}\)

                                    \(\sf = 9 \frac{3}{10} \ ft^3\)

Answer:

x-4

Step-by-step explanation:

because a number could be x and all you have to do is subtract 4 from a number making it x-4

Answer:

4-x

Step-by-step explanation:

Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.

Answer:

Darius has $87. I know this because I had the same question.

Step-by-step explanation:

I know this because I had the same question.

3x² + 6x - 24

Simplify 3.

3(x² + 6x - 8)

Think of x² +2x−8. Factor the expression by grouping. First, we need to rewrite the expression as x² + ax + bx - 8. To find a and b, set up a system to be solved.

Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −8.

Calculate the sum of each pair.

The solution is the pair that gives sum 2

Rewrite x² + 2x − 8 as (x² − 2x ) + (4x − 8).

Simplify x in the first group and 4 in the second.

Simplify the common term x−2 with the distributive property.

The entire factored expression is rewritten.

3 ( x − 2 )( x + 4 ) ===> Answer

We conclude that the correct option is "B".