Answer:
It cooled 58.4 degrees
Step-by-step explanation:
T(t) = 68 + 144e ^(-.052t)
We want to find the value when t= 10
T(10) = 68 + 144e ^(-.052*10)
= 68 +85.611
T(10) =153.611
We also need to know
T(0)= 68 + 144e ^(-.052*0)
=68+144
=212
We want to know how much it cools
That would be the temperature at time 0 minus the temperature at time 10
T(0) - T (10)
212-153.611
58.389
To the nearest tenth
58.4 degrees
Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1
<h3>Composite functions</h3>
Composite functions is a way of substituting one function into another.
Given the function expressed as:
y = 3√x + 1
g(1) from the mapping is 0
Substitute g(1) = 0 into the given function to have:
f(g(1)) = 3√0 .+ 1
f(g(1)) =0 + 1
f(g(1)) = 1
Hence the value of the composite function f(g(1)) is 1
Learn more on composite function here: brainly.com/question/10687170
#SPJ1
Let x be the number of treats bought
Let y be the pounds of food bought
25= 2y+x
Given that she has buys 9 pounds of dog food:
25= 2(9)+x
25=18 +x
25-18 =x
7=x
With the money she has left over, she can buy 7 treats.
Hope I helped :)
Answer:
5x -7y = 21
Step-by-step explanation:
A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.
One way to do this is to equate the slopes of the parallel lines:
∆y/∆x for AB = ∆y/∆x for CD
(y2 -y1)/(x2 -x1) = (y -2)/(x -7) . . . . . . where (x1, y1) = A; (x2, y2) = B; (7, 2) = D
(4 -(-1))/(1 -(-6)) = (y -2)/(x -7)
5(x -7) = 7(y -2) . . . . . . . . . . . . . cross multiply
5x -7y = 21 . . . . . . . . . . . . . . . . add 35 -7y, simplify
_____
Note that the graph shows the line CD is named "b", and its equation is shown at upper left. Multiplying that equation by -1 gives the one shown here.
Answer:
x = 3 n, y = -2 n, n element Z
Step-by-step explanation:
