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2 years ago

15

What is the answer of:

le="2 \div 3 + \sqrt{5} " alt="2 \div 3 + \sqrt{5} " align="absmiddle" class="latex-formula">

1 answer:

pshichka [43]2 years ago

4 0

Answer:

$\frac{2 \: + \: 3 \sqrt{5} }{3}$

Step-by-step explanation:

$\frac{2}{3} + \sqrt{5} =$

$= \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )$

$= \frac{2}{3} + \frac{3 \sqrt{5} }{3}$

$= \frac{2 \: + \: 3 \sqrt{5} }{3}$

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What is the nth term rule of the quadratic sequence below?<br> -5, -3,3, 13, 27, 45, 67, ...

Svetllana [295]

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

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3 years ago

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earnstyle [38]

Answer:

2.3 hours, or 2 hours & 18 minutes

Step-by-step explanation:

we are trying to find h when d is 56.68, so I replaced d with 56.68

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3 years ago

Find the value of f(9) and g(-9) if f(×) = -7×-9 and g(×) = 6×3-23×

Vlada [557]

Answer:

f(9)= -72

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Step-by-step explanation:

First put the original equation

f(x)=-7x-9

Next plug in the number f(9)

f(9)=-7(9)-9

After multiply -7(9) which gets you -63

f(9)=-63-9

Then subtract -63-9 which gets you -72

f(9)=-72

-----------------------------------------------------------

First put the original

g(x)=6x3-23x

Next plug in the number g(-9)

g(-9)=6x3-23(-9)

After multiply 6x3 which gives you 18 then multiply -23(-9)

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If elephant grass grows 2 1/5 inches a day, how many inches will it grow in 5 days?

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3 years ago

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If r = 4 and ^a8 = 100, what is the first term of the geometric<br> sequence?

telo118 [61]

The first term of the geometric sequence is 0.0061

<u>Step-by-step explanation:</u>

The general form of geometric sequence is a, ar, ar²,ar³,.......

where,

a is the first term of the sequence.
r is the common ratio. Here, the common ratio r = 4.
The 8th term of the sequence is 100. Hence n = 8.

<u>The formula to find the nth term of the geometric sequence is given by :</u>

⇒ $n_{th} term = ar^{n-1}$

⇒ $8_{th}term = a\times4^{8-1}$

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⇒ $100 = a \times 16384$

⇒ $a = \frac{100}{16384}$

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2 years ago