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4 years ago

2. State the Associative Property of Addition.

Mathematics

2 answers:

elena-14-01-66 [18.8K]4 years ago

8 0

Answer:

That one may switch two variables in an addition problem

Step-by-step explanation:

For instance 1+2=3 or 2+1=3

omeli [17]4 years ago

5 0

Answer:

The associative property states that you can add or multiply no matter how the numbers are grouped.

Formula: a + (b + c) = (a + b) + c

Examples: 5 + (6 + 8) = (5 + 6) +8

2 + (3 + 4) = (2 + 3) + 4

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The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align

bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

$y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}$

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2 years ago

Change each improper fraction into an equal mixed number.

olchik [2.2K]

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B.) 4 5/9

C.) 8. 375 - I couldn't solve this one

D.) 12 3/11

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3 years ago

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Ivenika [448]

The answer is 1,351.58 if you input all the info on a compound interest calculator it'll give you this number. the answer is C

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3 years ago

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Oksi-84 [34.3K]

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

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Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

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3 years ago

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myrzilka [38]

Answer6x3-33x2+45x-6

Step-by-step explanation:

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3 years ago

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