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4 years ago

N- 6< -12 answer in mathematics

Mathematics

1 answer:

Stolb23 [73]4 years ago

5 0

N - 6 < -12
+6 +6
N <- 6

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After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes th

Korvikt [17]

Answer:

Rotated at 90° clockwise about the origin. (RO 90)

Step-by-step explanation:

According to the statement A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). That is to say, that a point in the form P(x, y) maps to P(y, -x) after rotation.

In that sense, if a point P(x, y) maps to P(y, -x) then this happens when the shape denoted by those three points is rotated at 90° clockwise about the origin.

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3 years ago

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The sum of the measures of angles xand y is 120°. The measure of the angle x is 12 less than the measure of the angle y. Find x

Troyanec [42]

Answer:
x = 54°
y = 66°

Step-by-step explanation:

x + y = 120° (given)
x = y - 12
Then, y + y - 12 = 120°
(y + y) - 12 = 120°
2y - 12 = 120°
2y = 120 + 12 = 132°
y = 132/2 = 66°
x = y - 12 = 66 - 12 = 54°
There you go :)

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2 years ago

Find f(x+1) when f(x)=2x+6 f(x+1)=

Gre4nikov [31]

Answer:

Step-by-step explanation:

$f(x)=2x+6\\\\f(x+1)-\text{substitute}\ x+1\ \text{instead of x}:\\\\f(x+1)=2(x+1)+6\qquad\text{use the distributive property}\\\\f(x+1)=2x+2+6\qquad\text{combine like terms}\\\\f(x+1)=2x+8$

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Which probability indicates that an event will likely occur? A- 0 B- 1/4 C- 1/2 D- 3/4

Agata [3.3K]

The answer is c- 1/2<span />

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Complete the table given below.<br><br>PICTURE BELOWWW

igor_vitrenko [27]

Answer:

see the attached table

Step-by-step explanation:

We assume the formula of interest is ...

residual = (initial amount)(1 -k)^t . . . . . . assuming k is a positive number

Where T is the half-life, this formula can also be expressed as ...

residual = (initial amount)(1/2)^(t/T)

Then the relationship between k and T is ...

(1 -k)^t = (1/2)^(t/T)

or ...

1 -k = (1/2)^(1/T)

This lets us write k in terms of T as ...

k = 1 -(1/2)^(1/T)

and it lets us write T in terms of k as ...

log(1-k) = (1/T)log(1/2)

T = log(1/2)/log(1-k)

The attached spreadsheet table implements these formulas to compute T from k and vice versa. Formatting is in % and to four decimal places as required by the problem statement.

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4 years ago