Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
Answer:
A and C
Step-by-step explanation:
Given
2cos²x - 2 = 0 ( add 2 to both sides )
2cos²x = 2 ( divide both sides by 2 )
cos²x = 1 ( take the square root of both sides )
cos x = ± 
= ± 1
cos x = 1 ⇒ x = 
(1) = 0°
cos x = - 1 ⇒ x = (- 1) = 180°
Answer:
(x-1)(x-7)
Step-by-step explanation:
To factor the equation, find two binomials which multiply to a quadratic. The quadratic's factors are found by finding two numbers that multiply to 7 and add to -8.
-1 and -7 multiply to 7 and add to -8.
(x-1)(x-7)
Answer:
48 and 49
Step-by-step explanation:
48 + 49 = 97. Therefore the 2 numbers are 48 and 49
Answer:
66°
Step-by-step explanation:
simply subtract 114 from 180
you'll come out with the answer of 66°.
