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PilotLPTM [1.2K]
4 years ago
11

Sheldon says that the expression 8(4x - 2)=32x-16

Mathematics
1 answer:
Arte-miy333 [17]4 years ago
8 0

Answer:

That is correct

Step-by-step explanation:

distribute the 8

8*4x = 32x

8*2 = 16

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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig
Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

(x, y) \Rightarrow(-y, x)

Substituting the coordinates of the point C in the above formula, we get;

(2, 1) \Rightarrow(-1, 2)

Therefore, the coordinates of the point C' is (-1,2)

5 0
4 years ago
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a su
babymother [125]

Answer:

(a)\ \{SSS\}

(b)\ \{FSSS\}

(c)\ \{FFSSS, SFSSS\}

(d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}

(e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}

Step-by-step explanation:

Given

S\to Success

F\to Failure

n \to 3 Consecutive trials until S happens

Y \to Number of trials

For every possible outcome, the last 3 must be SSS. So, we have:

(a)\ Y = 3

The only possibility here is: \{SSS\}

because 3 trials implies that all outcomes must be S.

(b)\ Y = 4

The only possibility here is:

\{FSSS\}

because 4 trials implies that the first outcome must be F

 

(c)\ Y = 5

The possibilities are:

\{FFSSS, SFSSS\}

because 5 trials implies that the first and the second outcomes must be FS or SF.

(d)\ Y = 6

The possibilities are:

\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}

because 6 trials implies that the first three outcomes are: FFF, SSF and SFF

(e)\ Y = 7

The possibilities are:

\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}

because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))

4 0
3 years ago
A scale drawing of Zach's rectangular room is 3 inches by 4 inches.
g100num [7]

Answer:

108sqft

Step-by-step explanation:

Scale 1in=3ft

3in=9ft and 4in=12ft

9ft*12ft=108sqft

5 0
3 years ago
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A plumber gave an estimate for the renovation of a kitchen. Her hourly rate is $55 per hour and the parts for the renovation wil
Natasha_Volkova [10]

Answer:

12 houra

Step-by-step explanation:

404-80=27x

 

324=27x

x=324/27

x=12 hours.

7 0
3 years ago
the greater of the two numbers is 3 more than the smaller. if twice the small is added to the greater number , the result is 30
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