9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Answer:
<u>23 consumer.</u>
Step-by-step explanation:
Given:
Number Of Responses for Thirsty = 49
Number Of Responses for Clean = 24
Number Of Responses for Strong Ones = 15
Number Of Responses for PowerWash = 12
So,
The total number of Responses = 49 + 24 + 15 + 12 = 100
So, the probability to prefer PowerWash = 12/100 = 0.12
For a group of 195 consumers:
prediction to prefer PowerWash paper towels = 0.12 * 195 = 23.4
So,
The number of consumers prefer PowerWash paper towels = <u>23 consumer</u>
(7 cm)*(10 cm) = 70 cm^2
The area is the product of length and width.
The Probability is 2/6 and 3/6. 2/6= 1/3 and 3/6=1/2 The ratio is 1/6