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
kompoz [17]
3 years ago
13

What is the depth and volume of this rectangular prism in cubes and cubic inches?

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0
Height = 3 cubes
Width = 5 cubes
Depth = 4 cubes

Number of Cubes = 3*4*5 = 60

Each cube is .2 inches on each side

So, it's volume = 1 * .6 * .8 = .48 cubic inches

Double - Check
Each cube is .2*.2*.2 = <span> <span> <span> 0.008 </span> </span> </span> cubic inches
There are 60 cubes so the volume =
60 * .008 = .48 cubic inches CORRECT !!




You might be interested in
How to write a proof sequence for an assertion
Shkiper50 [21]
<span>john asserted that his dog had went out to find food earlier this morning.</span>
5 0
3 years ago
Find the general term of {a_n}
Assoli18 [71]

From the given recurrence, it follows that

a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3

and so on down to the first term,

a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k

(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)

Denote the remaining sum by <em>S</em> ; then

S = 1 + 2 + 2^2 + \cdots + 2^{n-1}

Multiply both sides by 2 :

2S = 2 + 2^2 + 2^3 + \cdots + 2^n

Subtract 2<em>S</em> from <em>S</em> to get

S - 2S = 1 - 2^n \implies S = 2^n - 1

So, we end up with

a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}

5 0
2 years ago
Identify the pair of angles as complementary, supplementary, both, or neither.
nikitadnepr [17]

Answer:

Complementary

Step-by-step explanation:

Because that angle is 90°

8 0
2 years ago
Read 2 more answers
Which function has real zeros at x = –8 and x = 5?
Tcecarenko [31]

Answer:

option B is the answer . thank me later , you guys are lame

3 0
3 years ago
Please help me out <br> I don’t know this
AlladinOne [14]
He spent 3/4 less time biking than at the mall
7 0
2 years ago
Read 2 more answers
Other questions:
  • The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard devi
    5·1 answer
  • What is the anyswer to this quiestion<br> 9 + 10
    6·2 answers
  • Find for x if sin x cot x csc x = sqrt 2 ?
    5·1 answer
  • The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution.
    7·2 answers
  • Please help me with this
    8·1 answer
  • Can anybody help me please
    6·1 answer
  • A farmer needs to enclose three sides of a field with a fence (the fourth side is a river). The farmer has 49 yards of fence and
    6·1 answer
  • Which is the correct solution to the cubic equation, 3x+2 = -1
    15·2 answers
  • Two friends share £150 in the ratio 4:11<br> (a) How much does each friend receive?
    6·1 answer
  • Can someone help me please tho, nobody answered this and I don’t see it on brainly neither..
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!