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3 years ago

PLEASE PLEASE HELP YA'LL 3RD TIME POSTING AND REALLY NEED HELP!!!! NO LINKS ALLOWED!!

Mathematics

2 answers:

Lilit [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Rotation 90 degrees counter clockwise rule (x,y) -----> ( -y , x )

In order to find the answer we must first find the coordinates of the pre image

The coordinates are...

x (1,-1)

y (4,-1)

z (4,-4)

Now we apply the rule stated previously

( The rule explanation: the x and y values swap and the y values sign changes. So if the y value was previously positive, after a 90° counter clockwise rotation, the y value will then be negative)

x (1,-1) -----> swap x and y values ( -1,1) ------> flip sign of new x value ( 1 , 1 )

y (4,-1) ------> swap x and y values ( -1,4) -----> flip sign of new x value ( 1 , 4 )

z (4,-4) -----> swap x and y values ( -4,4) ------> flip sign of new x value ( 4,4)

the new coordinates are X' (1,1) , Y' (1,4) , Z (4,4)

Hence the answer is C

Leni [432]3 years ago

3 0

Its c i got it right on my test!

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Answer:

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$ln|\frac{N}{N_0}|=-\lambda t$

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$\Rightarrow ln|\frac{\frac12N_0}{N_0}|=-\lambda . 11$

$\Rightarrow ln|\frac12}|=-\lambda . 11$

$\Rightarrow -\lambda . 11=ln|\frac12}|$

$\Rightarrow \lambda =\frac{ln|\frac12|}{-11}$

$\Rightarrow \lambda =\frac{ln|2|}{11}$ [ $ln|\frac12|=ln|1|-ln|2|=-ln|2|$ , since ln|1|=0]

N=154 grams, $N_0$ = 870 grams, t=?

$ln|\frac{N}{N_0}|=-\lambda t$

$\Rightarrow ln|\frac{154}{870}|=-\frac{ln|2|}{11}.t$

$\Rightarrow t= \frac{ln|\frac{154}{870}|\times 11}{-ln|2|}$

=27.5 minutes

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