Answer:
y=0
Step-by-step explanation:
Rewrite Evaluate Powers:
3
Calculate:

Solve using substitution:

Solve the equation for t:
t=-3
t=1
Substitute back to t=3^y
3^y=-3
3^y=1
y∉R

y=0
Answer:
x =35.
Step-by-step explanation:
x / 20 = 14 / 8
Cross multiply:
8x = 20*14
8x = 280
x = 35.
Answer:
-23/10 or-2 3/10
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is
1
number to the right of the decimal point, place the decimal number over
10
1
(
10
)
. Next, add the whole number to the left of the decimal.
−
2
3
10
Answer:
n=40
Step-by-step explanation:
25/n=5/8
25/5=5
n/5=8
n=40
Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of
is 
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.