Which statement is true?

Mathematics

1 answer:

Darya [45]2 years ago

8 0

Mosquito = 2.5 x 10⁻⁶

Housefly = 2 x 10⁻⁵

Let's find their ratio: Mosquito/Housefly = (2.5x10⁻⁶)/(2 x 10⁻⁵)

M/H =(2.5/2) x (10⁻⁶/10⁻⁵)
M/H = (5/4) x (10⁽⁻⁶⁺⁵⁾
M/H = (5/4) x 10⁻¹
M/H = (5/4) x (1/10)
M/H = 5/40
M/H = 1/8 OR 8 M = 1 H , SO the housefly is 8 times the weight of the mosquito

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£54 is 10% off what is the the original price

Schach [20]

Answer:

48.6

Step-by-step explanation:

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2 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$