Answer:
13 = x
Step-by-step explanation:
= 
6x + 42 = 8x + 16
42 = 2x + 16
= 
13 = x
Exponential growth has the form:
F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.
First let's solve for the rate, r, using the points provided...
37325/34560=(Ir^2)/(Ir^1)
r≈1.08
Now find the initial amount...
34560=I(1.08)^1
I=32000 so now we have the entire equation, using x and y...
y=32000(1.08)^x
Answer:
90.6m
Step-by-step explanation:
Initial speed = 8m/s
Time = 4.3 s
In studying the motion of an object, we often make use of kinematic equation
s = ut + 1/2at^2
v^2 = u^2 + 2as
a = (v - u) / t
v = final velocity
u = initial velocity
s = distance or height
t = time
a = acceleration due to gravity
Given time to hit the ground as 4.3s, we calculate the height by using
s = ut + 1/2at^2
Since the stone is moving against gravity, a is negative
u = 0
s = 0(4.3) +1/2(-9.8)(4.3)^2
s = -90.6m
The height of the cliff is 90.6m
I'd gotten 10.8 feet for the answer using the equation:
a^2+b^2=c^2
(a{squared}+b{squared}=c{squared})
Where 6 is your a variable, 9 is your b variable and you are looking for your c variable (hypotenuse).
a- 6^2 (6{squared}) or 6x6 giving you 36
b- 9^2(9{squared}) or 9x9 giving you 81
Adding those together you'll have 117.
117=c^2
You would have to get rid of the squared sign so you'll find the square root because finding the square root of something is the opposite of squaring it.
c=10.8 feet (rounding to 11 feet)
Answer:
There are 24 males
Step-by-step explanation:
male: female
3 4
x 32
The ratios have to stay the same
4 to 32 means multiply by 8
4*8 =32
so 3*8 =x
x must be 24
male: female
3 4
24 32
