195=67+(200-67)e^(-10k)
195=67+133e^(-10k)
128=133e^(-10k)
128/133=e^(-10k)
ln(128/133)=-10k
k=-ln(128/133)/10
T(t)=67+133e^(tln(128/133)/10), if T(t)=180
180=67+133e^(tln(128/133)/10)
113=133e^(tln(128/133)/10)
113/133=e^(tln(128/133)/10)
ln(113/133)=tln(128/133)/10
10ln(113/133)=tln(128/133)
t=10ln(113/133)/ln(128/133)
t≈42.5 minutes...
t≈40 minutes (to nearest 5 minutes? :P)
Step-by-step explanation:
The question did not specify what to solve, but from the given the information, we can proceed to solve the actual dimension of the banner, and the dimension will be in feet.
the scale is given as
2ft to 1 in
And the given dimension is
3.5 in and 7.25 in
3.5 inches in actual size is 3.5*2= 7feet
7.25 inches in actual size is 7.25*2= 14.5 feet
The area of the banner can be calculated as
Area=7*14.5
Area=101.5 ft^2
Answer:
No, unless the function decides to follow a different pattern. See more explanation below.
Step-by-step explanation:
He is wrong, the table doesn't tell us what happens at x=6.
It does tell us the following:
1) When x=-4, f(x)=6.
2) When x=-2, f(x)=3.
3) When x=0, f(x)=-1.
4) When x=2, f(x)=-4.
So maybe he got it the x and f(x) value switched in his brain.
Because according to 1) x=-4 when f(x)=6.
If the points keep having x increase while y decreases, then every x>2 will have a y less than -4 correspond to it.
Answer:
y=-6/5+9
Step-by-step explanation:
your going ro put it in y=mx+b format
so it would be ur equation 12x+10y=90
subtract 12x from both sides and get 10y=-12x+90
u have to get 10 by itself so you divide 10 to everything and get y=-12/10x+90/10
you have to simplify so get y=-6/5+9
