1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
15

The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

Height = x - 5 --- one of the dimension

Step-by-step explanation:

Given

Volume = 4x^3 - 20x^2 + 3x - 15

Required

The side dimension

Factorize the given expression

Volume = 4x^2 (x- 5) + 3(x - 5)

Factor out x - 5

Volume = (4x^2  + 3)(x - 5)

Volume is the product of base area and height'

Hence:

Area = 4x^2 + 3

Height = x - 5

You might be interested in
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of
katovenus [111]

Answer:

sample mean

Step-by-step explanation:

6 0
3 years ago
An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad
VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that n = 323, p = 0.86

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

5 0
3 years ago
Workout the value of (10^4)^2
weqwewe [10]

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

8 0
3 years ago
Read 2 more answers
The selling price of an item is $600. After 6 months of not selling, it is marked down by 30% . After another 6 months of not se
Bingel [31]

The sale price after both markdowns will be $336

<em><u>Explanation</u></em>

The selling price of an item is $600. After 6 months of not selling, it is marked down by 30%

So, the marked down amount after 6 months =\$ 600*0.30= \$180

and the selling price after first 6 months will be: \$600-\$180=\$420

After another 6 months of not selling , it is further marked down by 20%. So, the marked down amount now = \$420*0.20=\$84

Thus, the final selling price after all markdowns =\$420-\$84=\$336

4 0
3 years ago
Emma took a taxi from the airport to her house.
Natali5045456 [20]
Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
5 + 3.7d = 42

Subtract 5 from both sides.
3.7d = 37

Divide both sides by 10.
d =  \frac{37}{3.7}  = 10

Therefore, Emma had a taxi ride of 10 miles.
8 0
2 years ago
Read 2 more answers
Other questions:
  • Given the concentric circles with center c and with muc = 75°, where the inner circle has
    6·1 answer
  • (-36)^5/2=<br><br> Choices<br> 7,776<br> 1/7,776<br> no real number
    10·1 answer
  • Help Please I'm really struggling with this problem
    10·1 answer
  • A b and c are polynomials,when A=n,B=2n+6,and C =n^2-1 what is ab-c in simplest form
    13·1 answer
  • The sales tax on a one-half-carat diamond ring is $76. Find the purchase price of the ring (before tax) of the sales tax rate is
    11·1 answer
  • What occupations includes working with data and details more than ideas?
    6·2 answers
  • What is 2/3 divide by 2/9
    15·1 answer
  • Find the simple interest earned to the nearest cent for each principal, interest rate, and time. $300, 5%, 2 years
    9·1 answer
  • Find the area of a field shaped like the figure shown below. The area of the field is (round to the nearest whole number): (I wi
    11·1 answer
  • The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!