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timurjin [86]
3 years ago
5

Find the 7th term of the sequence 1,5/4,25/16

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

9514 1404 393

Answer:

  15625/4096

Step-by-step explanation:

The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...

  an = a1·r^(n-1)

  an = 1·(5/4)^(n-1)

Then the 7th term is ...

  a7 = (5/4)^(7-1) = 15625/4096

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H function is even, odd, or neither.<br> b. g(x) = x² - 2<br> Is it odd or even
o-na [289]

g(x) = x^2 - 2 \text{ is even function }

<em><u>Solution:</u></em>

Given that,

g(x) = x^2 - 2

We have to find whether the above function is odd or even

If a function is: y = f(x)

If f(-x) = f(x), the function is even

If f(-x) = - f(x), the function is odd

Which is,

\mathrm{Even\:Function:\:\:A\:function\:is\:even\:if\:}f\left(-x\right)=f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}\\\\\mathrm{Odd\:Function:\:\:A\:function\:is\:odd\:if\:}f\left(-x\right)=-f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}

From given,

g(x) = x^2 - 2

Replace x with -x

g(-x) = (-x)^2 - 2\\\\g(-x) = x^2 - 2

Therefore,

g(x) = g(-x)

Thus the function g(x) is even

4 0
3 years ago
A monomial of degree 7 and a leading coefficient of -3
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Answer:

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Step-by-step explanation:

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Please help me urgently! 50 points giving brainliest.
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The number of significant figures in the numbers are

  • 100 cm = 1 significant digit
  • 0.006700 cm = 2 significant digits
  • 450. cm = 3 significant digits

<h3>How to determine the number of significant figures in the following numbers?</h3>

As a general rule, the zeros before and after the non-zero figures are not significant.

Using the above rule, we have:

  • 100 cm = 1 significant digit
  • 0.006700 cm = 2 significant digits
  • 450. cm = 3 significant digits

<h3>How to round the following numbers to the correct number of significant figures</h3>

Using the above rule in (a), we have:

  • 123g to show 1 sig fig = 100 g
  • 0.19851m to show 2 sig figs = 0.2 m
  • 0.0057034L to show 3 sig figs = 0.005703 L

<h3>How to report the following answers with correct significant figures</h3>

We have:

(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures

67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures

<h3>How to convert the following metric to metric</h3>

450mL = 0.45 L

because 1 mL = 0.001 L

2.3 dm = 0.00023 km

because 1 dm = 0.0001 km

0.120cg = 1.2 mg

because 1 cg = 10 mg

6700L = 670000 cL

because 1 L = 100 cL

<h3>How to convert the following metric</h3>

a. 2.34miles = 3.76 km (1mile = 1.61km) -- given

b. 5.3ft = 161.544 cm(2.54cm = 1 in)

Because 1 ft = 30.48 cm

Read more about significant figures at:

brainly.com/question/24491627

#SPJ1

3 0
1 year ago
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