The exponent is 9, making it 10 to the power of 9. As the exponent is positive, the solution is a number greater than the origin or base number.
Answer:
Option C
Step-by-step explanation:
have a great Day
Answer:
A:(-2,-3)
B:(-4.009,1.018) And (-2,-3)
C:x≈0,1.61878812
Step-by-step explanation:
I found the equations
g(x)=e^x+1
p(x)=5/2x+2
f(x)=-2x-7
plugged it in on a graph found the answer to find g(x) all you need to do is know the parent function y=e^2(exponential) and I found where the lines intersect for part A and B and or p(x)=g(x) I did e^x+1=(5/2)x+2
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
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<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
To solve this, we'll use Euler's Polyhedral formula.
This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:
If we solve for the edges E, we'll get:
Using the data given,
We get that the polyhedron would have 12 edges
