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Nikitich [7]
2 years ago
6

Heather spent a total of 70 minutes working out at the gym.

Mathematics
1 answer:
Jobisdone [24]2 years ago
6 0

Answer:

choice 4

Step-by-step explanation:

t = treadmill time

w = wt lift time

70 is total time

so t+w = 70

next t is 20 more than w

t = w+20

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(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

<em>f = Σ</em>m(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 <em>f</em>(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

expanding the function as four variable terms

<em>f</em>(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

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

note: diagram is in the attachment

b) the minterms for the minimum sum of product are

<em>f = Σ</em>m(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

<em>f </em>= 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
Please help solve this equation. Show all steps please. No links or files.
maksim [4K]

Answer:

See below

Step-by-step explanation:

c = (a^2 + 3b) / 4       multiply both sides by 4

4c = a^2 + 3b           subtract a^2 from both sides

4c - a^2 = 3b            now divide both sides by 3

(4c-a^2) / 3 = b          

3 0
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Which is eWhich is equivalent to 3 square root of 125quivalent to ?
Mkey [24]

Answer:

15\sqrt{5}

Step-by-step explanation:

3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}

4 0
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Gwar [14]
1 3/4 x 7 = 12 1/4 Hope this help.
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The answer is A because all the other answers don’t use the cooperative denominators
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