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
andreev551 [17]
4 years ago
11

The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of

x is 3, what is the surface area, in square centimeters of the prism?
Mathematics
1 answer:
kupik [55]4 years ago
7 0

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is 6x^{3} +4x^{2} +12x

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = 6x^{3} +4x^{2} +12x

Surface area of the rectangular prism= 6\times 3^{3} +4\times 3^{2} +12\times 3

∴ Surface area of the rectangular prism= 6\times 27+ 4\times 9+ 12\times 3

Surface area of the rectangular prism= 162+36+36= 234\ cm^{2}

∴ Surface area of the rectangular prism= 234 cm²

You might be interested in
Colin borrowed some money at 7.16%/a compounded quarterly. Three years later, he paid $5000 toward the principal and the interes
attashe74 [19]

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

<h3>How do we calculate the original amount using PV formula?</h3>

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

Learn more about borrowing here: brainly.com/question/4239348.

#SPJ1

6 0
2 years ago
Screenshot of question below
mote1985 [20]

2/6. because there are 6 part of the square and there are 2 that are shaped red.

7 0
3 years ago
How many cities have an average temperature at or below freezing in the month of January
Lisa [10]
Jan. 2014 Average High                Historical Average High
New York:         38 F (3.3 C)          36 F (2.2 C)
Los Angeles:     76 F (24.4 C)        68 F (20 C)
Chicago:            27 F (-2.7 C)          32 F (0 C)
Houston:          64 F (17.8 C)          63 F (17.2 C)
Philadelphia:   40 F (4.4 C)           41 F (5 C)
Phoenix:           73 F (22. 8 C)         67 F (19.4 C)
San Antonio:   66 F (18.9 C)           63 F (17.2 C)
San Diego:        72 F (22.2 C)          65 F (18.3 C)
Dallas:               58 F (14.4 C)           57 F (13.9 C)
<span>San Jose:          66 F (18.9 C)           58 F (14.4 C)</span>
6 0
3 years ago
Rewrite the function by completing the square. h(x)=x^2+3x-18
cupoosta [38]

Answer:

(x+6) (x-3)

Step-by-step explanation:

Set the difference first.

_x_= -18

_+_ = 3

6 x -3 = -18

6+(-3)= 3

Now distribute it with the x^2

(x+6) (x-3)

Tada!

4 0
3 years ago
Write 10/3<br>as a mixed number.<br><br>-​
Alex_Xolod [135]

10/3 would be 3 and 1/3.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of the following graph?
    6·1 answer
  • I’m having trouble on that one in the picture
    8·1 answer
  • Find the equation of the line passing through the points (-2/3,1) and (-2,1/2). Write the equation in standard form.
    11·1 answer
  • Greta completed a mile race in 5 minutes . inez ran a mile in which each quarter mile split was 1 min 20 seconds which of the tw
    10·1 answer
  • The seventh grade wants to break last
    12·1 answer
  • Is this correct? Can anyone check this for me and make sure it is correct. I’ll mark u brainiest if correct.
    7·2 answers
  • Can someone please help will give brainliest Links will be banned
    15·1 answer
  • Select ALL the correct answers.
    9·1 answer
  • Drag the number of solutions and the corresponding explanation to the graphs of the systems of equation.
    11·1 answer
  • 3x + 2y = 32<br> how to solve
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!