I ONLY NEED HELP ON THE FIRST QUESTION SHOWN

Answer:

1. 2.997

2. 29.93

Step-by-step explanation:

1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.

2. Same thing, gotta multiply all given values

A fixed ratio schedule is a type of reinforcement schedule in which a response is reinforced after a specific number of responses. In this case, the response of putting money in the machine is reinforced after every 1 response.

If each time you put a dollar in a vending machine you get a snack, then your response is reinforced according to a fixed ratio schedule.

Variable interval, fixed interval, and variable ratio schedules are all different types of reinforcement schedules that are based on different criteria. A variable interval schedule is a type of reinforcement schedule in which a response is reinforced after a random interval of time. A fixed interval schedule is a type of reinforcement schedule in which a response is reinforced after a fixed interval of time. A variable ratio schedule is a type of reinforcement schedule in which a response is reinforced after a random number of responses.

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The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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To apply the function `g` to the Y-Combinator, we start with the definition of the Y-Combinator: Y = λf.(λx.f(xx))(λx.f(xx)).

To apply a function to the Y-Combinator, we substitute the function `g` for the parameter `f` in the Y-Combinator expression. Let's perform the reduction step by step: Y(g) = (λf.(λx.f(xx))(λx.f(xx)))(g)
                                              = (λx.g(xx))(λx.g(xx))
Now, we can observe that the Y-Combinator expression has the form (λx.g(xx))(λx.g(xx)), which is a self-application of the function `g`. This self-application allows for recursion, as it passes the function `g` applied to its own result as an argument to `g` itself.

By applying the function `g` to the Y-Combinator, we obtain the expression (λx.g(xx))(λx.g(xx)), which represents the recursive behavior achieved by the Y-Combinator. This recursive structure allows for the creation of functions that can refer to themselves within their own definitions.

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a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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The turning point (or vertex) of the quadratic equation y = x^2 + 14x - 3 is:

(-7, -52)

The turning point is also called the vertex. To find it we can complete squares, remember the perfect square trinomial:

(a + b)^2 = a^2 + 2ab + b^2

Here we have:

y = x^2 + 14x - 3

Completing squares we will get:

y = x^2 + 2*7*x - 3

Add in both sides 7^2 to get:

y + 7^2 = x^2 + 2*7*x + 7^2 - 3

y = (x + 7)^2 - 3 - 49

y = (x + 7)^2 - 52

Then the vertex is at (-7, -52), that is the turning point.

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Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the answers are:

\(BrainiacUser1357\)

1. The length of the rectangle is equal to 18 inches.

2. The width of the rectangle is equal to 22 inches.

Given the following data:

To calculate the length and width of the rectangle:

Mathematically, the perimeter of a rectangle is given by the formula;

\(P=2(L+W)\)

Where:

Substituting the parameters into the formula, we have;

\(80=2(W-4+W)\\\\80=2(2W-4)\\\\80=4W-8\\\\4W=80+8\\\\4W=88\\\\W=\frac{88}{4}\)

Width, W = 22 inches.

For the length:

\(L=W-4\\\\L=22-4\)

Length, L = 18 inches.

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Answer:

Here's your answer !

Step-by-step explanation:

Answer: you didn’t even say please

explanation: why don’t you ask your mother you make me sad

Answer:

  yes

Step-by-step explanation:

The commutative property of addition applies to let you swap the order of the summands.

__

Here is how the commutative property can be applied.

  5x = 3 -x . . . . . given

  5x = (3) +(-x) . . . . shown as a sum

  5x = (-x) +(3) . . . . order swapped using commutative property of addition

  5x = -x +3 . . . . . . equivalent equation

As a result, f(-2) has a value of -1 by simply substituting the value of x in the function. as Each function is given a domain and a codomain, often known as a scope.

Math deals with numbers with their variants, formulae and adjacent tissues, structures and associated locations, and areas where they might be found. The term "function" refers to the connection between a series of inputs, of which each has a corresponding output. A function is a connection between the inputs and outputs where each input result in a single, unique output. A domain as well as a codomain, or scope, are allocated to each function. Functions are generally symbolized by the letter f. (x). The input is an x. On functions, another functions, many-to-one functions, within operations, and on functions are the four main types of functions that are available.

given

f(x)=2(x)+3=5

= f(-2) = 2(-2) + 3 = 5

= -4 + 3

= -1

As a result, f(-2) has a value of -1 by simply substituting the value of x in the function. as Each function is given a domain and a codomain, often known as a scope.

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the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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The four statements that represent the notation in the graph are

The equation d(t) = y, this means that at time t the value of d is y.

Examining the graph by tracing the points on the graph will show the true statements

d(30) = d(70), From the graph,

because of this we can say that d(30) = d(70).

d(10) = 20, From the graph

At a time of 10 seconds can be traced to the graph and this coincides with d =  20 m. hence this is a true statement

Tracing the time of 0 seconds and 170 seconds shows that both have a distance equal to 0 m. this completes the true statement

Hence, the true options are (A), (B), (E) and (G)

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When smoothing time series data, it's important to ensure that the curve is not over-flattened, as this can lead to important information being lost.

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We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

Answer:

The answer is C I think

Step-by-step explanation:

Sorry if i am wrong

Answer: 60

Step-by-step explanation:

1=10. x6=60

We will find the sum of 3+ 1 1/2 with help of a

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

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The average rate of given function F(x) = 7x -12 from -2 to 3 is equal to 7.

As given in the question,

Given function F(x) = 7x -12

x₁= -2

x₂ =3

Average rate of the function F(x) is

= {F(x₂) - F(x₁)}/ (x₂ - x₁)

= [7(3)-12 - {7(-2)-12}]/ [3-(-2)]

=(21-12+14+12)/ 5

=35/5

=7

Therefore, the average rate of given function F(x) = 7x -12 from -2 to 3 is equal to 7.

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If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer:

£12.25

Step-by-step explanation:

Using unit rate:

\(\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}\)

£12.25 should be the correct answer.

Step-by-step explanation:

The area of the triangle QRS is: 140 sq.units

The area of the triangle by box method is:

Area of triangle = Area of box rectangle - Area of 3 triangles

Thus:

Area of box rectangle = 15 * 20 = 300 sq.units

Area of small triangle 1 = ¹/₂ * 4 * 20

= 40 sq.units

Area of small triangle 2 = ¹/₂ * 11 * 15

= 82.5 sq.units

Area of small triangle 3 =  ¹/₂ * 5 * 15

= 37.5 sq.units

Thus:

Area of shaded triangle = 300 - (40 + 82.5 + 37.5)

= 140 sq.units

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