Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Answer:
9c -4d
Step-by-step explanation:
6c − 8d + 3c + 4d
Combine like terms
6c + 3c − 8d +4d
9c -4d
X = length of shortest side
Therefore the remaining sides will be x +2 and x + 7
x + x + 2 + x +7 = 45
3x + 9 = 45
3x = 36
x = 12
x + 2 = 14
x + 7 = 19
The sides are 12, 14, and 19 cm. long. Hope this helped!
Answer:
D. If John owns a dog, then he owns a cat
Step-by-step explanation:
The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...
~(John owns a dog) ∨ (he owns a cat)
Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...
- p = John owns a dog
- q = he owns a cat
and put those into the structure of the implication: if p, then q.
If John owns a dog, then he owns a cat. . . . . matches choice D
Answer:
yes, they do
Step-by-step explanation:
added together it equals 254, so unless there is tax they have enough
