What is the volume of the following rectangular prism? 9 3 1/2

Reduce the following lambda-calculus term to the normal form. Show all intermediate steps, with one beta reduction at a time. In

QveST [7]

Answer:

Step-by-step explanation:

Reduction to normal from using lambda-reduction:

The given lambda - calculus terms is, (λf. λx. f (f x)) (λy. Y * 3) 2

For the term, (λy. Y * 3) 2, we can substitute the value to the function.

Therefore, applying beta- reduction on "(λy. Y * 3) 2" will return 2*3= 6

So the term becomes,(λf. λx. f (f x)) 6

The first term, (λf. λx. f (f x)) takes a function and an argument, and substitute the argument in the function.

Here it is given that it is possible to substitute the resulting multiplication in the result.

Therefore by applying next level beta - reduction, the term becomes f(f(f(6)) (f x)) which is in normal form.

4 0

3 years ago

Prove Forall x elementof Z, x^2 - 5x - 1 is odd.

Diano4ka-milaya [45]

Answer with Step-by-step explanation:

Let Z be a set of integers

We have to prove that $x^2-5x-1$ is odd for all value of x $\in$ Z.

There are two cases

1.When x is an odd integer number

2.when x is even integer number

1.When x is an odd integer number

When x is positive odd integer

Then $x^2$ is positive odd number (because square of odd positive number is always positive an odd number )

5x is also odd number

-5x -1 = -even number

Suppose x=3

Then -15-1=-16

Odd number - even number=Odd number

Hence , $x^2-5x-1$ is an odd number .

When x is negative odd number

Then x square is positive odd number and 5x is negative odd term term

Therefore,odd number + odd number -1=Even number -1=Odd number

Hence $x^2-5x-1$ is an odd number.

2.When x is an even number

When x is positive even number

x square is positive even number and 5x is positive even number

Even number -Even number -1 =Even number -odd number =Odd number

Suppose x=4

$x^2-5x-1$ =16-20-1=-5=Odd number

When x is negative even number

Then x square is positive even number and 5x is negative even number

$x^2-5x-1$ =Even number +Even number -1=Even number -1=Odd number

Hence, for all elements of Z $x^2-5x-1$ is odd.

7 0

3 years ago

A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the

love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0

3 years ago

Select all explanations that prove triangle ABC is congruent to triangle ABC

ycow [4]

Answer:

Translate ABC to the right and reflect over a horizontal line

Step-by-step explanation:

ABC =ABC so you flip and it the same triangle

5 0

3 years ago

Starting at the same point, Tom and Juanita go biking in opposite directions if Tom rides at a speed of 20 mph and Juanita rides

STatiana [176]

They will be 72 miles apart. :p

6 0

3 years ago