Answer:
try working it out
Step-by-step explanation:
replace the values for the letters than follow order of operations:
8(5) - 4/3 + 6 =
40-1 1/3 +6
38.67+6 = 44 2/3
The product of the factors (5x − 8) and (5x + 8) is 25x² − 64. Then the correct option is C.
<h3>What is polynomial?</h3>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
One factor of the polynomial is given which is 5x − 8.
Then the polynomial will be
Let the other factor be 5x + 8
Then their product will be
(5x − 8)(5x + 8)
(5x)² − 8²
25x² − 64
More about the polynomial link is given below.
brainly.com/question/17822016
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
