Answer:
14.4 m / s
Step-by-step explanation:
=distance between the car
=0.8 × 9
=7.2m
=time taken
=0.5s
=speed
=distance/time
=7.2m/0.5s
=14.4 m / s
A = pi r^2 / 2
if 22mm = radius
then
A = (3.14 * 22^2) / 2
A = 759.88
if 22mm is the diameter
then
A = (3.14 * 11^2) /2
A = 189.97
The value of f(15), to the nearest hundredth is 253.88
The standard exponential equation is given as:
If f(4.5) = 16, then;
16 = ab^4.5 ..............1
Similarly, if f(9.5) = 60, then:
60 = ab^9.5 ........................... 2
Dividing both equations will give:
60/16 = ab^9.5/ab^4.5
60/16 = b^9.5-4.5
60/16 = b^5
3.75 = b^5
b = 1.3
Get the value of a. Recall that;
60 = ab^9.5
60 = a(1.3)^9.5
60 = 12.09a
a = 60/12.09
a = 4.96
Get the value of f(15)
f()15 = 4.96(1.3)^15
f(15) = 4.96(51.18)
f(15) = 253.88
Hence the value of f(15), to the nearest hundredth is 253.88
Learn more on exponential functions here: brainly.com/question/12940982
Answer:
The side length of the triangle is 16
Step-by-step explanation:
The perimeter of the triangle is
P = 3t since the sides are all equal
The perimeter of the square is
P = 4s since the sides are all equal
We are given the perimeter of the square is 12
P = 4*12
P = 48
We are told the perimeters are equal
48 = 3t
Divide by 3
48/3 = 3t/3
16 =t
The side length of the triangle is 16
The first step is to write this equation into general form. The
general form of an equation is:
ax^2 + bx + c = 0
To make this equation to general form, you have to simplify
the equation first.
2/3(x-4) (x+5) = 1
2/3 (x^2 + 5x – 4x – 20) = 1
2/3(x^2 + x -20) = 1
2/3x^2 + 2/3x – 40/3 = 1
2/3x^2 + 2/3x – 40/3 – 1 = 0
2/3x^2 +2/3x – 43/3 = 0
Therefore, a = 2/3 ; b = 2/3 ; c = -43/3
