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tatyana61 [14]
3 years ago
12

A jet flies at a rate of 1.3x10^3 feet per hour . Written in scientific notation which is the best estimate of how many feet the

jet will travel in 2.8x10^3 hours ?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

3 * 10^6 if the answer is 3.64 * 10^6, you really ought to argue the meaning of estimate with your instructor.

Step-by-step explanation:

This is a very valuable question. Put your calculator away when you answer it. Using a calculator is sort of cheating.

1.3 * 10^3 roughly is roughly 1 * 10^3

2.8*10^3 hours is roughly 3 * 10^3

Forget the powers for now and just work with the 1 and 3

1*3 equals 3.

10^3 * 10^3 = 10^6 when the base of two numbers is the same (10 in this case) then the powers are added.

10^(3 + 3) = 10^6

So the answer is roughly 3*10^6

Now you can take out your calculator and get the answer.

1.3*10^3 * 2.8 * 10^3 = 3.64 * 10 ^ 6

Notice that the estimate (done in my head) is close enough to tell you what the answer should be. On a test, that's a very handy skill.

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Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
likoan [24]

\mathrm{Use\:the\:rational\:root\:theorem}

a_0=15,\:\quad a_n=2

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5

=\left(x+3\right)\left(2x^2-11x+5\right)

Factor: 2x^2-11x+5

2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)

=x\left(2x-1\right)-5\left(2x-1\right)

2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)

\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:}

thus zeros of f(x) is

x=-3,\:x=5,\:x=\frac{1}{2}

5 0
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Step-by-step explanation:

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Answer: −

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Step-by-step explanation:

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Answer:

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