Answer:
(9, 27 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3
(3, 9 ) → (3(3), 3(9)) → (9, 27 )
Answer:
<em>We need 108 cubes to fill the rectangular prism</em>
Step-by-step explanation:
We are given the dimensions of a cube with an edge length of 1/3 inch.
A rectangular prism is to be filled out with those cubes. The dimensions of the prism are 3 inches x 1 inch x 1 1/3 inches.
The fraction 1 1/3 is expressed as:

We need to know how many cubes fit in each dimension. It can be found by dividing them by their edge length:



Now we multiply the number of cube per dimension:
9*3*4=108
We need 108 cubes to fill the rectangular prism
the independent variable is the $6 you make at your job.
The dependent variable is how much you make each week. and the dependent variable represents x.
a reasonable domain for the function is going to have to be your $6 dollars because your pay rate doesn't go up or down.
a reasonable range for the function is 240 because you are only allowed to work 40 hours a week at any job unless they want to give you overtime so the max amount you can earn is $240
the function represents you working 20 hours and getting paid $120 because 6 times 20 is 120
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Answer: 258
Step-by-step explanation:
Since, the sum of GP is,

where r is the common ratio,
a is the first term,
n is the number of term,
Here, series is, 6, -12, 24, -48, _ _ _ _
Which is a GP ( Because there is common ratio in the given consecutive terms )
So, for the above series, a = 6, r =
and n = 7,
⇒ 
⇒ 
⇒ 
⇒ 
Thus, the sum of the 7 terms of the given series is 258.