Answer:
-18
Step-by-step explanation:
The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
Step-by-step explanation:
The answer is - 4
Because when you solve it
x2 - 16 = 0
x2 = 16
So we will square root it
x = - 4
One more thing don't you have the option x = 4
Answer:
36.9 degree
Step-by-step explanation:
tan(0) =3/4
Remember
Tangent of angle = opposite/ adjacent
Tan (0) = 0 75
That is 3/4 to decimal = 0.75
If tan (0) = 0.75
Then (0) = tan -¹ 0.75
Using the tangent of angle table
(0) = 36.9 degree
I hope this was helpful, please rate as brainliest
<h3>
Answer: B) 1.0 year</h3>
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Explanation:
We have these two functions
- f(t) = 12(1.02)^(4t)
- g(t) = 12(1.09)t
which represent the amounts for his friend and William in that order. Strangely your teacher mentions William first, but then swaps the order when listing the exponential function as the first. This might be slightly confusing.
The table of values is shown below. We have t represent the number of years and t starts at 0.5. It increments by 0.1
The f(t) and g(t) columns represent the outputs for those mentioned values of t. For example, if t = 0.5 years (aka 6 months) then f(t) = 12.48 and that indicates his friend has 12,480 dollars in the account.
I've added a fourth column labeled |f - g| which represents the absolute value of the difference of the f and g columns. If f = g, then f-g = 0. The goal is to see if we get 0 in this column or try to get as close as possible. This occurs when we get 0.09 when t = 1.0
So we don't exactly get f(t) and g(t) perfectly equal, but they get very close when t = 1.0
It turns out that the more accurate solution is roughly t = 0.9925 which is close enough. I used a graphing calculator to find this approximate solution.
It takes about a year for the two accounts to have the same approximate amount of money.