14^ 0.08t = 56.
From here, you can rewrite it as log base 14 argument 56 = 0.08t.
When you plug it in t is about 19
Answer: ≈19 years
Answer:
The perimeter of a parallelogram is 30cm.
Step-by-step explanation:
From the question , the given area of a parallelogram is 36 cm².
But the area of a parallelogram can be calculated using below formula
Area = base * height
From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively
There is the same distance between point of intersection of the diagonals and the opposite sides then,
The base of the side with 4cm can be calculated as
ha= 2+ 2= 4cm
But area can be calculated as A= base × height
36= b1 × h1
36=b1 × 4
b1= 9cm
The base of the other side can be calculated with 6cm height
h2= 3+3=6cm
A= b2× h2
36= b2 ×h2
36= b2× 6
b2= 6cm
Then the perimeter of the parallelogram can be calculated as
P= 2(b1 + b2)
= 2(6+9)
= 30cm
Hence,the perimeter of the parallelogram is 30cm
Answer:
x=1
y=s
z=1
Step-by-step explanation:
(x, y, z)=(1, 0, 1)
Substitute 0 for y
Confirming if t=0 satisfy the other equation
x = e^−2t cos 4t = e^−2(0)cos(4*0)
= e^(0)cos(0) = 1
z = e^−2t = e^−2(0) = 0
Therefore t=0 satisfies the other equation
Finding the tangent vector at t=0
The vector equation of the tangent line is
(1, 0, 1) +s(0,1,0)= (1, s, 1)
The parametric equations are:
x=1
y=s
z=1
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
<h3>How to form a linear equation</h3>
Let the time taken to play basketball be "x"
Let the time taken to play volleyball be "y"
According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;
x + y = 95
If he plays basketball for 25 minutes long, then;
x = 25
The pair of linear equations that represents the statement are:
x + y = 95
x = 25
The time it takes Eric to play volleyball every day is expressed as:
y = 95 - x
y = 95 - 25
y = 70 minutes
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
Learn more on linear equations here: brainly.com/question/14323743
