Answer:
it will take about 7.5 hours to increase from 20 to 2000
Step-by-step explanation:
y(t) = a e^kt
20 = a e^ kt1
2000 = a e^ kt2
divide these equations
2000/20 = a e^ kt2/ a e^ kt1
when dividing the exponents subtract
100 =a/a e^(kt2-kt1)
factor out the k
100 = e ^ k(t2-t1)
take the natural log on each side
ln(100) = ln (e^ k(t2-t1)
ln (100) = k(t2-t1)
divide by k
ln(100)/k = (t2-t1)
we know k=.614
ln(100)/.614 = t2-t1
7.500277 = t2-t1
it will take about 7.5 hours to increase from 20 to 2000
Solution 1 by separating parts
Rewriting our equation with parts separated
−5/6 −2−1/10
Solving the fraction parts
−5/6−1 1/0=?
Find the LCD of 5/6 and 1/10 and rewrite to solve with the equivalent fractions.
LCD = 30
−25/30−3/30= −28/30
Reducing the fraction part, 28/30,
−28/30= −14/15
Combining the whole and fraction parts
−2−14/15= −2 14/15
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
−5/6−21/10
Applying the fractions formula for subtraction,
=(−5×10)−(21×6)6×10
=(−50−126) / 60
= −176 / 60
Simplifying -176/60, the answer is
= −2 14/15
I hopes this helps!!! :)
Option D:
is positive product.
Solution:
<em>If the negative sign is in even number of times then the product is positive.</em>
<em>If the negative sign is in odd number of times then the product is negative.</em>
To find which product is positive:
Option A:
Here, number of negative signs = 3
3 is an odd number.
So, the product is negative.
Option B:
Here, number of negative signs = 3
3 is an odd number.
So, the product is negative.
Option C:
Here, number of negative sign = 1
1 is an odd number.
So, the product is negative.
Option D:
Here, number of negative sign = 2
2 is an odd number.
So, the product is positive.
Hence option D is the correct answer.
is positive product.
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
Answer:
y = -3
Step-by-step explanation:
A horizontal line has all the same y values, but changing x values
y must equal -3 all the time if it goes through (3,-3)
y = -3
