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const2013 [10]
3 years ago
9

A cube has edge length s units. Use an exponent to write an expression for its volume

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

ss^{3}

Step-by-step explanation:

A cube's volume is its length * width * height. Its length, width, and height are all equal to s.

A cube's edge length is another word for its side length, which is the same for every edge in the cube.

To write the equation for the volume with s substituted for length, width, and height, we get that volume = ss^{3}.

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What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
A van travels at a constant speed of 55 miles per hour.
Shkiper50 [21]

A table which correctly identifies three points on the graph is; Choice D

  • Time (hr) Distance (mi)

  • 1 55

  • 2 110

  • 4 220

<h3>Slope of graph</h3>

According to the information given in the graph;

  • The van travels at a constant speed of 55 miles per hour.

On this note, the graph of the distance against time for the van has a slope of 55.

Ultimately,

  • At the starting point, t= 0, distance = 0

  • At t=1, Distance = 55

  • At t=2, Distance = 110

  • At t=3, Distance = 165

  • At t=4, Distance = 220

The correct table is therefore Choice D.

Read more on Slope of a graph:

brainly.com/question/19376563

8 0
3 years ago
Find the distance between the points with polar coordinates (4, π/3) and (8, 2π/3).
musickatia [10]
A suitable vector calculator can perform this arithmetic directly, as can many graphing or scientific calculators that are capable of handling complex numbers. Mine says
  (8, 2π/3) - (4, π/3) = (4√3, 5π/6)
The distance is 4√3 ≈ 6.9282.

If you cannot use your calculator for this purpose, you can use the Law of Cosines. You have two sides of the triangle (4 and 8) and the angle between them (2π/3 - π/3), so you have all the information needed.
  c² = a² + b² -2ab·cos(C)
  c² = 4² + 8² - 2·4·8·cos(π/3)
  c² = 16 + 64 - 32 = 48
  c = √48 = 4√3

Or, you can simply recognize that the two vectors have the ratio 1:2 and the angle between them is 60°. That is, they are one leg and the hypotenuse of a 30°-60°-90° triangle, so the other leg is 4√3.

8 0
3 years ago
(i picked c am i right?) What is the product in lowest terms?
-Dominant- [34]
The correct answer is C.<span>-20/27 because its in it lowest terms.</span>
8 0
3 years ago
Read 2 more answers
A teacher wants to give 3 markers to each of her 25 students. Markers come in packages of 8. How many packages of markers will t
Sophie [7]
25x3=75. 
75/8= 9.375
Round up.
Answer= 10
4 0
3 years ago
Read 2 more answers
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