All categories

3 years ago

Please Help! It is Pre-Calc and I need to know the answer!

Mathematics

2 answers:

slava [35]3 years ago

7 0

That's the derivative at x=9 so will be 4(9³)=2916. Let's do it the hard way.

f(x) = x⁴

f(9)=9⁴

f(9+h)=(9+h)⁴ = 9⁴ +4·9³ h + 6·9²h² + 36h³ + h⁴

(f(9+h)-f(9))/h = 4·9³ + 6·9²h + 4·9h² + h³

$\lim_{h\to 0} (f(x+h)-f(x))/h =4\cdot 9^3 = 2916$

Answer: Choice C, 2916

alexandr402 [8]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

A theater has 20 rows of chairs. The first row has 16 chairs, the second has 18, the third has 20, and so on. In total, the thea

Lunna [17]

I would do it in Buhh I'm working so add all of them(16,18,20) together 6 times then add another 16 and 18 and you will get your answer.

5 0

3 years ago

Read 2 more answers

An item travels 70 ft in 10 s. What is the unit rate?

sveticcg [70]

Distance = (rate)(time)

if you want o find the rate you have to get in by itself on one side so divide both sides by time

distance/time = rate

now replace the words with the values and complete the problem

(70 ft)/(10s) = rate
7 feet per sec = rate

The answer is that the unit rate is 7 feet per sec (or fps)

5 0

3 years ago

- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many

kotegsom [21]

Answer:

B.64 miles

Step-by-step explanation:

Let Oliver's be x

Let Stephanie's be y

$x = 2y - - - (a) \\ x + y = 96 - - - (b)$

substitute for x in (b):

$2y + y = 96 \\ 3y = 96 \\ y = 32$

find x in (a):

$x = (2 \times 32) \\ x = 64$

5 0

3 years ago

Read 2 more answers

Which is the graph of f(x) = –(x + 3)(x + 1)

Sergio [31]

Answer: Please refer to the attachment below

Step-by-step explanation:

4 0

3 years ago

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago