195=67+(200-67)e^(-10k)
195=67+133e^(-10k)
128=133e^(-10k)
128/133=e^(-10k)
ln(128/133)=-10k
k=-ln(128/133)/10
T(t)=67+133e^(tln(128/133)/10), if T(t)=180
180=67+133e^(tln(128/133)/10)
113=133e^(tln(128/133)/10)
113/133=e^(tln(128/133)/10)
ln(113/133)=tln(128/133)/10
10ln(113/133)=tln(128/133)
t=10ln(113/133)/ln(128/133)
t≈42.5 minutes...
t≈40 minutes (to nearest 5 minutes? :P)
Answer:
answer is D
Step-by-step explanation:
APEX :)
Part 1)
we have
the scale is 
the distance on a map is 
we know that
The scale is equal to the distance on a map divided by the real distance
Let
x------> distance on a map
y-------> real distance
S-------> scale

In this part we have

Find the value of y

Substitute the values


Convert to kilometers

Part 2)
In this part we have

Find the value of x

Substitute the values


Convert to centimeters

therefore
the answer is
The distance is 
Answer:
- 7 is (14x)°
Step-by-step explanation:
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? The nearest degree measure of angle 7 is (14x)°
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy