Answer:
D
Step-by-step explanation:
Current coordinate of R : ( 1,5 )
Applying translation with rule (x,y) --> (x+1 , y-1)
Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )
applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3
Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )
The final coordinate is ( 6 , 12 )
For this case, the first thing we must do is define variables.
We have then:
x: number of minutes
y: final temperature
We write then the equation that models the problem:

For y = 20 we have:

Clearing x:
Answer:
The temperature of the water will be 20 degree celcius after 150 minutes
It’s a function
hope you have a good day
Answer:
Diagonal of a rectangular frame = 85 inch
Step-by-step explanation:
Given:
Length of rectangle = 77 inch
Width of rectangle = 36 inch
Find:
Diagonal of a rectangular frame
Computation:
Diagonal of a rectangle = √l² + b²
Diagonal of a rectangular frame = √77² + 36²
Diagonal of a rectangular frame = √5,929 + 1,296
Diagonal of a rectangular frame = √7,225
Diagonal of a rectangular frame = 85 inch
Answer:
0.2231 (22.31%)
Step-by-step explanation:
defining the event F = the marketing company is fired, then the probability of being fired is:
P(F)= probability that the advertising campaign is cancelled before lunch * probability that marking department is fired given that the advertising campaign was cancelled before lunch + probability that the advertising campaign is launched but cancelled early * probability that marking department is fired given that the advertising campaign is launched but cancelled early .... (for all the 4 posible scenarios where the marketing department is fired)
thus
P(F) =0.10 * 0.74 + 0.18 * 0.43 + 0.43 * 0.16 + 0.29*0.01 = 0.2231 (22.31%)
then the probability that the marketing department is fired is 0.2231 (22.31%)