All categories

3 years ago

Perform the indicated operation. (w^3 +64)/(4+ w)

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- = (w^2 - 4w + 16)

4 + w 4 + w

You might be interested in

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So $n = 421, \pi = \frac{75}{421} = 0.178$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205$

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0

2 years ago

Help I need help! I have more questions and these are due Friday!

allochka39001 [22]

2 and 2/5 hope i helped

6 0

2 years ago

The expression

kobusy [5.1K]

Answer:

According yo my calculations v=-92 that makes it so that 34×6÷39=124

4 0

3 years ago

Read 2 more answers

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredt

Masja [62]

Answer:

75.40 feet

Step-by-step explanation:

For the two small semicircles, the circumference is $\frac{1}{2} 2\pi r$ , or just $\pi r$ . Since the radius is 1/2(16), or 8, the combined circumference of the two semicircles is 16 $\pi$ . Now, for the area of the quarter circle in the middle, we see that its radius is 16, and so its circumference is $\frac{1}{4} 2\pi r$ , or $\frac{1}{2} \pi 16$ = 8 $\pi$ . So, the perimeter of the fountain is 16 $\pi$ + 8 $\pi$ = 24 $\pi$ , or about 75.40 feet.