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arlik [135]
3 years ago
5

Can someone please answer question 15 and 16

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

15. y=-4/3x+7/3

16. y=-1/3x+4

Step-by-step explanation:

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Changes in the dimensions of the shape do not effect the area of the shape. True or False
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Answer:

I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False

hope this helps

Step-by-step explanation:

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3 years ago
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What is the surface area of this square pyramid?
sesenic [268]
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ande tharea of each sloping triangular side = 1/2 * 15 * 18 =  135 m2

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Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)
Luba_88 [7]

Let's take the first derivative:

f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.

Notice that we can write this as:

f'(x) = -\dfrac{f(x)}{3}.

By taking the derivative of both sides n times, we get:

f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.

This means that each time you take a derivative, a factor of -\dfrac{1}{3} will appear. So we conclude that:

f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).

Taking n=6 and x=1, we get:

f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.

So we finally get:

\boxed{-\dfrac{5}{729}e^{-1/3}}.

6 0
3 years ago
Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 120 cm cubes, what
kotykmax [81]

Answer:

120 divided by 12 = 10

Step-by-step explanation:

7 0
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