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Inessa05 [86]
2 years ago
15

Carson uses cubes to make a pattern of shapes. The first shape has a height of

Mathematics
1 answer:
KIM [24]2 years ago
8 0

Answer:

The length of each shape will alternate  between even numbers and odd

numbers.​

Step-by-step explanation:

A cube is a 3 dimensional object that has equal length, width and height. It is has area of a cube.

Carson uses 2 cubes for the height and length for a start. He adds 1 cube to the length and height with respect to each stage. Since the length of each cube is the same, then consistent addition increases the length by same factor.

The length of each cube equals 1 unit, then he starts with 2 (length equals 2 units), next stage add 1 to make up 3(length equals 3 units). He add another 1 more for another stage to make up 4 (length equals 4 units)... This addition continues depending on the number of stages required.

Therefore, it can be deduced that the length of each shape will alternate

between even numbers and odd  numbers.

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Which expression is equivalent to -1.3 - (-1.9)
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Answer:

-8-(-1)-5

Step-by-step explanation:

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2 years ago
Ellie wants double her savings of £9000 by investing her money for 18 years what interest rate does she need to look for?
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What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
KIM [24]

Answer:

f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }

Step-by-step explanation:

We have to find the derivative of the following function:

f(x) = \frac{4x^{6} }{\cos^{5} x }

Now, differentiating both sides with respect to x we get,

f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}

⇒ f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x } (Answer)

{Since, we know that, \frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)} and \frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x) }

5 0
3 years ago
If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?
Aleksandr [31]

Answer: 3/2

Step-by-step explanation:

The first one: y=2x+5

X=2y+5.Then solve for y after switching x and y

X-5=2y, X-5/2=y

Since F-1= X-5/ 2, we plug the value of X in

8-5/2, so it should be 3/2

5 0
3 years ago
Please help not sure on this
ahrayia [7]
If I am correct, it would be dropped at -3, side adding to negative numbers make them increase to positive numbers.

4 0
3 years ago
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