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alexira [117]
3 years ago
10

What is the value of y in the equation 6.4x +2.8=44.4 , when x=3 ? y=

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

y=3.15

Step-by-step explanation:

I am assuming you meant 2.8y in your equation.

Plug in for x

6.4(3)+2.8y=44.4

6.4*3=19.2

So now 19.2 + 2.8y = 44.4

44.4-19.2=25.2

25.2/2.8=3.15

Meaning Y=3.15

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Determine whetherfis a function from the set of all bitstrings to the set of integers if
ipn [44]

Answer:

a) Not a function

b) It is a function

c) It is a function

Step-by-step explanation:

a) f(S) is not completly well defined, becuase if the bistring has multiple zeros, you need to pick one and there is not specified method in how you would do so. Another reason for which f is not well defined as a function is that for a bistring with only 1's, f is not defined because there is no zero.

b) This is a function. f(S) returns a concrete and unique integer number for each bistring S. If the bistring has only zeros, the f(S) = 0.

c) This is well defined as a function. It compensates for the failures of the first definition:

- If multiple zeros appears in S, you pick the first one, so there is one possible value for f(S)

-If no zeros appear, f is still well defined because it takes the value 0, as specified in the definition.

8 0
3 years ago
Which number line shows the correct placement of 25%,14 1 4 , and 12 1 2 ?
3241004551 [841]

Answer:

3.5

Step-by-step explanation:

25%=0.25

0.25*14=3.5

7 0
3 years ago
Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).
fomenos

Answer:

  204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

  cos(A) = √(1 -sin²(A)) = 24/25

  sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

  = (24·5 +7·12)/325

cos(A -B) = 204/325

__

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

  cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

  = cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

  325·cos(A-B) = 204

so, the exact value is ...

  cos(A -B) = 204/325

8 0
3 years ago
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