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Free_Kalibri [48]
3 years ago
13

Petra made the following observation:

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.

Step-by-step explanation:

A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.

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Find the distance between (-8, -1) and (0, 5). Give your answer in simplest radical form.
dolphi86 [110]

Answer:

D (10)

Step-by-step explanation:

The difference in the x-values is 8 and the difference in y-values is 6; if we draw a line for each difference and connect the points, we get a right triangle. Use pythagorean's theorem of a^2 + b^2 = c^2; 36 (6^2) + 64 (8^2) = 100 (10^2). Square root 100 to get 10

5 0
3 years ago
(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
How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $11,0
Alona [7]

Answer:

$8950.37

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), in which P is the initial amount of money (the principal), r is the interest rate as a decimal fraction, n is the number of times per year that interest is compounded, and t is the number of years.

Here we have A = $11,000, n = 2, r = 0.07 and t = 3, and so:

$11,000 = P(1 + 0.07/2)^(2*3), or

$11,000 = P (1.035)^6

                                           $11,000        $11,000

Solving for P, we get P = ---------------- = ------------- = $8950.37

                                            1.035^6          1.229

Depositing $8950.37 with terms as follows will result in an accumulation of $11,000 after 3 years.

7 0
3 years ago
I need help on this question
Vadim26 [7]

Answer:

4.8ft

Step-by-step explanation:

3 0
3 years ago
Twice the difference of a number and 6 is at least 24
gregori [183]

Answer:

what about 4

Step-by-step explanation:

6 0
3 years ago
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