Answer:
<h2><u><em>
8/3 or 2.66.. units </em></u></h2>
Step-by-step explanation:
TSA of cube = 6a²
side = 2/3
= 6 x (2/3)²
= 6 x 4/9
= 2 x 4/3
=8/3
<u>Ans = 8/3 units or 2.66.. units</u>
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Answer:
15:12:3= 15 boys 12 girls and 3 teachers
Step-by-step explanation:
There are 5 boys in the School and 4 girls in the School and 1 teachers in the School
Because you got to try to look for a number that you can divide by all three numbers. And that number is 3. Because if you do 15 ÷ 3 =5, 12÷3=4, 3÷3=1
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
K(x) = (1/2)ˣ
Since a (=1/2) is < 1, this exponential function is decreasing .
y-intercept for x = 0
k(x) =(1/2)⁰ → k(x) =1, then y-intercept = 1
Horizontal Asymptote:
lim k(x) = (1/2)ˣ = 0
x→∞
Horizontal asymptote x = 0
Answer:
It'll take 12 minutes to be at 30 degrees.
Step-by-step explanation:
Since the metal is cooling at a linear rate then the rate of degrees per minute should be the through the cooling process. From 4 minutes to 7 minutes there was a span of 3 minutes and in that time the metal cooled 105 degrees. So the metal is cooling at a rate of
rate = 105/3 degrees/minute = 35 degrees/min
To reach 30 degrees from 205 it should cool down an additional 175 degrees so it'll take:
minutes = deegrees/rate = 175/(35) = 5 minutes
Since the metal had a temperature of 205 degrees in 7 minutes, then it'll take 12 minutes to be at 30 degrees.
