Answer:
dT/dt = k(T-75)
Step-by-step explanation:
dT/dt = the rate of change of the egg's temperature T with respect to time t
k = constant
(T-75) = difference between the egg's temperature and the room temperature 75 degree
1/10 chance on winning with 1 ticket...so winning with 4 tickets =
1/10 * 1/10 * 1/10 * 1/10 = 1/(10^4) = 1/10,000
Let L be the length and W be the width.
"the width of a rectangle is half as long as the length"
W = (1/2)·L
"the rectangle has an area of 18 square feet"
A = L·W = 18
Substitute,
L·W = 18
L·(1/2)·L = 18
(L²)/2 = 18
L² = 36
L = 6 feet
then W = (1/2) · L
W = (1/2) · 6
W = 3 feet
We are given that the measure of one acute angle is 5 times the measure of the other acute angle.
Let us assume the measure of the other acute angle = x degree.
First acute angle is 5 times the other, that is = 5x degrees.
Both angles are making a right angle.
A right angle sum upto 90 degrees.
Therefore,
x+5x = 90.
6x = 90.
Dividing both sides by 6, we get
x =15.
<h3>Therefore, other acute angle = 15° and one angle measure = 5 times of 15 that is 75°</h3>
We graph y = log 5x using Google Sheets and get the inverse using rearrangements and simplification
y = log 5x10 ^ y = 5xx = 1/5 10^yy = 1/5 * 10^x
we also graph the inverse using Google Sheets. The graphs are attached below
