A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

Answers

Answer 1

Answer: Translate the equation to math.
It says the term after the current term is the current term plus 3.
Next term = this term + 3
Next term = -4+3
The next term is then -4+3 or -1.

Answer= - 1

Hope this helps :)

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Which of the following is equivalent to (4x²)³ ?A. 64x⁸
B. 12x⁵
C. 12x⁶
D. 4x⁵
E. 4x⁶
Can someone explain this one for me?

Answers

$\left(4x^2\right)^3=4^3\left(x^2\right)^3=64x^(2\cdot3)=64x^6$

True or FalseIn order for a function to be one-to-one, no two independent variable values may yield the same value of the dependent variable

Answers

dependent variables are dependent on the independent variable ie
f(x)=8x
f(x)=demendent variable
x=independent
in order for the fn to be 1-to-1, no 2 independent variables may yeild the sam edepend variables
true
that is the same thing as
for every input, you get exatly 1 output

answer is TRUE

Its true. no independent variable may yield the same thing as a dependent variable.

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteria after 9 hours? (0,1) (1,2) (2,4) (3,8)Answers:
128
256
512
1024

Answers

As the colony doubles every hour, the population $p$ is modeled by:

$p = 2^t$

Where $t$ is the time in hours.

We can see this because:

$2^0 = 1 \n 2^1 = 2 \n 2^2 = 4$

Notice that the x coordinate of the graph corresponds to the time, and the y coordinate corresponds to the population.

Thus at $t=9$

$p=2^9 \n \n p = \boxed{512}$

The lcd for fractions 1/3 3/4 and 8/9 is

Answers

Answer:

the answer is /36

Step-by-step explanation:

3 goes into 36

4 goes into 36

9 goes into 36

an elevator weighing 6,000 newton move up a distance of 10 meters in 30 seconds.what was the power of the elevators motor in watt and and in horsepower? btw: the part im having trouble with is getting the horse power

Answers

Energy added to the elevator (work) = (6,000 N) x (10 meters) = 60,000 joules.

Power = (energy) / (time) = (60,000 joules) / (30 seconds) = 2,000 watts.

Now, here comes the part you've been waiting for: The "horsepower".

We won't go through the history of 'horsepower', where it came from etc.
All you need to know is how it relates to 'watts'.

Here's that answer:   1 horsepower = 746 watts .

So the power of your elevator motor was

   (2000 watts) x (1 HP / 746 watts) = 2.681 horsepower (rounded)

Obviously, that unit has nothing to do with real horses, if it ever did.
It's just another name for 746 watts.

Now I WILL tell you how to remember that number ... because it's such a gas.
This story is not true either. But I bet you'll remember it, for a while anyway:

From the detailed entries in Christopher Columbus' log during his
first voyage to the New World, modern scientists have been able to
calculate that when running before a wind of 30 mph, the main sail
of the Nina, the Pinta, or the Santa Maria would have developed
almost exactly 2.0 horsepower.

Columbus discovered America in 1492 .

So each sailing horsepower on that voyage corresponded to

   1492 / 2 = 746 watts.

Sorry about that.
The devil makes me do it whenever the subject comes up.

A pickup truck traveled a distance of 210 miles in 5 hours. If the pickup truck travels at the same speed, how many miles would this truck travel in 6 hours?175 miles
252 miles
2,310 miles
6,300 miles

Answers

252 miles is correct

Answer:

yea the other guy is right its 252

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