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3 years ago

What's the unit cube

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

6 0

more formally a cube of side 1 cube is a cube whose sides are one unit long

Effectus [21]3 years ago

3 0

A unit cube is just a cube just like this one:

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Can you answer this please

Flauer [41]

Look at the attachment!

Thanks. (I can’t see the Tuesday 24 Question 5, sorry.)

5 0

3 years ago

The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.

Kryger [21]

Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1

5 0

3 years ago

Read 2 more answers

Solve this problem like how you solve the other problems<br>

Neko [114]

Answer:

192 centimeters cubed

Step-by-step explanation:

3 x 8 x 4 = 96 for block B

4 x 3 x 8 = 96 for block A

add them together and get 192 cm^3

6 0

2 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago

-8x+3=8x+27 I need help plz I’m trash at math

belka [17]

Answer:

-1.5

Step-by-step explanation:

<u>See steps below:</u>

-8x+3=8x+27

-8x + 3 - 8x - 3 = 8x+ 27 - 8x - 3 ⇒ add -8x - 3 to both sides in order to collect like terms in the different sides of equation
-16x = 24 ⇒ simplified
x= 24/-16 ⇒ divide
x= - 1.5 ⇒ answer

3 0

3 years ago