Answer=Carlos
If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.
10*3=30 pennies
If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.
5*100=500 pennies
500 pennies is more than 30 pennies, so Carlos has more pennies
Answer:
See below.
Step-by-step explanation:
sin2x-tanx
= 2sinx cosx - sinx/cos
= (2sinx cos^2x - sin x) / cos x
= sinx ( 2 cos^2x - 1 ) / cos x
Now sin x / cos x = tanx and 2 cos^2 x - 1 = cos2x
so this simplifies to cos2x tan x.
Answer:
V = 14.14in^3
Step-by-step explanation:
Use the formula V = 3/4πr^2 to get the volume of a sphere
Substitute r for 1.5 in
V = 3/4π(1.5)^2
V = 14.137166941154in^3
Round to the nearest hundredth to find the approximate volume
V = 14.14in^3
Answer:
13/34
Step-by-step explanation:
subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!
Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
switch the x and y, then solve for y:
So the exponential function is the inverse of the logarithmic one, f(x) = ln x