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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
Hey there!
Let's keep our goal in mind. We're looking fo a sum, which means a number plus a number, or the answer to that problem.
In order to simplify this, we need to use the distributive property which can be defined as:
a(b+c) = ab+ac
Now, we can use this forumula to express:
6(3+9) = 6(3) = 6(9) = 18 + 54 = 72
Hope this helps!
1. Answer: 15.7143
log (7x-10)=2
Use the identity: loga(x)=b = x=(a)(b)
7x-10=10^2
Evaluate the Power
7x-10=100
Addition Property of Equality
7x=110
Division Property of Equality
x=110/7 or 15.7143
2. Answer: 0.3107
log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107
3. Answer: 0.002
log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500
Answer: 0.002
Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps
Answer:
True
Step-by-step explanation:
Supplementary angles total 180°.
37°45' +142°15' = 179°60' = 180°
Angles A and B are supplementary. (true)
