Compare the fraction negative 6/7 (?) 1/7

(a) Plot the following function ona Karnaugh map.(Do not expand to minterm form before plotting.)

makvit [3.9K]

Answer:

a) the K-map is in the attachment

f = Σm(0,1,2,3,6,10,14,15)

b) from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

Step-by-step explanation:

A Karnaugh map (K-map) is a pictorial framework used to limit the Boolean expressions without utilizing Boolean algebra theorems and equation controls.

a) the given function is f(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

expanding the function as four variable terms

f(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

= A'B'(C + C')(D + D')+(A + A')(B + B")CD' + ABC(D + D') + A'B'CD' + ABCD'

= A'B'CD + A'B'CD' + A'B'C'D' + ABCD' +AB'CD' + A'BCD' + A'B'CD' + ABCD +ABCD' + A'B'CD' + ABCD'

=A'B'CD + A'B'CD' + A'B'C'D + A'B'C'D' + ABCD' + AB'CD' + A'BCD' +ABCD

f = Σm(0,1,2,3,6,10,14,15)

note: diagram is in the attachment

b) the minterms for the minimum sum of product are

f = Σm(0,1,2,3,6,10,14,15)

simplifying the K-map(done in the attachment)

from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the maxterms for the minimum product of sums are

f = ПM(4,5,7,8,9,11,12,13)

plot the K-map to find minimum product of sums(done in the attachment)

the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

4 0

3 years ago

The map below shows the location of 3 houses where you had to do lawn work today. Your truck gets 8 miles per gallon of gasoline

Brums [2.3K]

Answer:

$3.80

Step-by-step explanation:

We are given a graph showing the location of 3 houses where you had to do lawn work today, with the distances from your house.

Given that one truck gets 8 miles per gallon of gasoline and gas costs $1.52 per gallon, we are to find the total cost of the gas used.

Total distance = 7 + 3 + 4 + 6 = 20 miles

Gallons of gas used = 20 / 8 = 2.5

Total cost of gas used = 2.5 * 1.52 = $3.80

6 0

3 years ago

What is the probability of rolling a 2 or 6 on a six-sided number cube?

REY [17]

Answer:

likely .

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7. f′(x)= f(x)=

Vadim26 [7]

I haven't learned antiderivitives yet but I can try to logic it

First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7.

we reverse chain rule

3x^3, we know that it was a 4th degree thing, and the coefient is 3, so
4*what=3?, answer is 3/4
3/4x^4

6x^2
we know it was x^3, and the coefient is now 6 so
3*what=6? what=2
2x^3

-1x, the power was 2 and coefient is now -1, so
2 times what=-1?, -1/2
-1/2x^2

2, that is from 2x

so

3/4x^4+2x^3-1/2x^2+2x=f'(x)
test x=1
(3/4)(1)+2(1)-(1/2)(1)+2(1)=
3/4+2-2/4+2=
4 and 1/4 we need to get it to 9
4 and 1/4 +what=9
answer is 4 and 3/4
so we add that to the end since it will become 0 from derivitive


f'(x)=3/4x^4+2x^3-1/2x^2+2x+4 and 3/4

now reverse drivitive again

3/4x^4
exponent is 5 and coefient is 3/4
5 times what=3/4? answer is 3/20
3/20x^5

2x^3
exponent should be 4 and coefient is 2
4 times what=2? answer is 1/2
1/2x^4

-1/2x^2
exponent should be 3 and coefient is -1/2
3 times what=-1/2? answer is -1/6
-1/6x^3

2x
exponent should be 2 and coefient is 2
2 times what=2? answer is 1
1x^2

4 and 3/4 turns to (4 and 3/4)x


f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x
try evaluating it for x=1
f(1)=(3/20)+(10/20)-(10/50)+1+(19/4)
f(1)=6 and 7/30
what do we add to get -7
-13 and 7/30

f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x-13 and 7/30



ANSWER
f'(x)=3/4x^4+2x^3-1/2x^2+2x+19/4
f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+19/4x-187/30

4 0

3 years ago

Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, w

igor_vitrenko [27]

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

6 0

3 years ago