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IceJOKER [234]
3 years ago
12

8 meters in 10 seconds

Mathematics
2 answers:
pickupchik [31]3 years ago
7 0
8 meters in 10 sec would be .8 because 10 x 8=80 add ur decimal an delete the zero
MakcuM [25]3 years ago
3 0
.8 meters per second as 10 into 8 is .8
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alexandr1967 [171]

Answer:

1/6

1/14

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3/8

Step-by-step explanation:

Easiest and fastest way to evaluate these is to plug it into a calc.

7 0
3 years ago
The product of 2 consecutive integers is 306
CaHeK987 [17]

Answer:

Two consecutive positive integers are 17 and 18. Or -17 and -18.

Step-by-step explanation:

Let the consecutive integers be x and x+1

x (x+1)=306 --> x^2 + x-306=0

x^2+18x-17x-306=0

x(x+18)-17(x+18)=0

or

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4 years ago
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Lisa [10]

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4 0
4 years ago
Which number best represents the point graft on a number line -10 -9 -8 -7 -6 -5 point -4 -3 -2 -1
Anna35 [415]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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}

7 0
2 years ago
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