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yawa3891 [41]
3 years ago
8

The expression below can be used to find the surface area of a cube when given the length of an edge, a.

Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

<h2>1.5 cm²</h2>

Step-by-step explanation:

Substitute <em>a = 0.5 cm</em> to the formula <em>SA = 6a² </em>:

<em>SA = 6(0.5)² = 6(0.5 · 0.5) = 6(0.25) = 1.5 cm²</em>

laiz [17]3 years ago
4 0

a = edge length = 0.5 cm

S = surface area of cube

S = 6*a^2

S = 6*(0.5)^2

S = 6*0.25

S = 1.5

<h3>The surface area of the cube is 1.5 square cm</h3>

You can use cm^2 in place of "square cm" to mean the same thing.

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Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

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6 0
1 year ago
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Download Doubtnut... and click pic nd send it..

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2 years ago
Please help I think these are the right answers!!!
Papessa [141]

We performed the following operations:

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If you multiply the parent function by a constant, you get a vertical stretch if the constant is greater than 1, a vertical compression if the constant is between 0 and 1. In this case the constant is 2, so we have a vertical stretch.

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If you change the sign of a function, you reflect its graph across the x axis.

h(x)=-2\sqrt[3]{x}\mapsto m(x)=-2\sqrt[3]{x}-1=h(x)-1

If you add a constant to a function, you translate its graph vertically. If the constant is positive, you translate upwards, otherwise you translate downwards. In this case, the constant is -1, so you translate 1 unit down.

5 0
3 years ago
Find the equivalent percent for ¾
Arlecino [84]

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

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3 years ago
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Write a translation of the function f(x)= x^3 that has a vertical shift of -5 and a horizontal shift of -8
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g(x)=(x+8)^3-5
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