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Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t
Answer:
base = 2 m; height = 6 m
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
- base of 8 meters
- height of 6 meters
- top side length of 4 meters.
=> the height of one of the triangles equal to the the height of the trapezoid = 6 meters
=> the base of the triangles:
= (the base of the trapezoid - the top side length) / 2
= (8-4)/2
= 2
So the base and height of one of the triangles : base = 2 m; height = 6 m
Hope it will find you well.
Answer:
14
Step-by-step explanation:
Answer:
4x^2 - 16x - 48 = 0.
Step-by-step explanation:
In a factor form it is:
4(x + 2)(x - 6) = 0
Convert to standard form:
4(x^2 - 4x - 12) = 0
4x^2 - 16x - 48 = 0.
Answer:
x = 50°
Step-by-step explanation:
By vertical angles, we have
50° + 2x = 150°
2x = 100°
x = 50°
