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monitta
3 years ago
13

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centi

meters. The equation 2x^3 + 14x^2 +12x =400 can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.
A) 4 centimeters

B)5 centimeters

C)8 centimeters

D)10 centimeters
Mathematics
2 answers:
Viefleur [7K]3 years ago
6 0

Answer:

10 centimeters

Step-by-step explanation:

sammy [17]3 years ago
4 0
The answer is D:10 cm, I just took it and got this.
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Tcecarenko [31]
A, 25.376. This rounded to the nearest hundredth would be 25.38 not 25.37.
4 0
3 years ago
Find the surface area of the figure.<br> PLEASE HELP!
olya-2409 [2.1K]

Answer:

The total surface area is: 468 in^2  which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

6 0
3 years ago
F(x + 1) = 3x - 7<br> f(x) = ?<br> Cevabi kitabda=3x-10<br> Nasil yapmiş kitabda
lina2011 [118]

Answer:

<h2>f(x) = 3x + 4</h2>

Step-by-step explanation:

f(x + 1) = 3x - 7

f(x) = f(x + 1 - 1) = 3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4

Check

f(x) = 3x + 4

f(x + 1) = 3(x + 1) + 4 = 3x + 3 + 4 = 3x + 7 CORRECT

8 0
3 years ago
To convert 4.1 kilometers to meters ,you would use the ratio 1,000meters/1 kilometer
boyakko [2]
4,100 meters. Hope it helped
7 0
4 years ago
If two students from this college are selected at random, what is the probability that they are both males?
igor_vitrenko [27]

Answer:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

P(A and B) = P(A)*P(B)

Solution to the problem

We can define some notation:

A_1 first person selected is a male

A_2 second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

P(A_1 and A_2)

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

5 0
3 years ago
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