Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
monthly revenue:
profit function:
i) remove the first bracket
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
iii) collect like terms
iv) simply the like terms
Answer:
48
Step-by-step explanation:
48
Let the tens digit be x.
Hence, the units digit will be 2x
Number =10×(x)+(2x)=12x
When 36 is added to the number, the new number formed =12x+36
As the digits are reversed, we can also write the new number as 10×(2x)+x=21x
Hence,
12x+36=10×(2x)+x
⇒12x+36=21x
⇒21x−12x=36
⇒9x=36
⇒x=4
Hence, the original number =12x=12×4=48
Answer:
It would be significant
Step-by-step explanation:
Population proportion of consumers who recognize the company name = 68% = 0.68
If 634 consumers out of the 800 randomly selected consumers recognize the company name, sample proportion = 634/800 = 0.7925.
It is significant to get 634 because the sample proportion of consumers who recognize the company name is greater than the population proportion.
