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3 years ago

Which expression is equivalent to 512 in exponential form?

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

Answer:

a)2*2*2*2*2*2*2*2*2

Step-by-step explanation:

it wouldn't be done 2*9 but exactly how it is written like

2 by the power of 9

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

3 years ago

Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s

ozzi

Answer:

$10.9\ \text{m/s}^2$

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

$\mu$ = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

$F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2$

La aceleración del bloque es $10.9\ \text{m/s}^2$ .

8 0

3 years ago

How could you use a number line to show that -4 + 3 and -3 + (-4)

Nonamiya [84]

Move negative 4 to the right till you get to positive 3. Then Move negative 3 to the left 4 times

8 0

3 years ago

Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?

stiv31 [10]

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

10 1

3 years ago

Read 2 more answers

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

Kitty [74]

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

$V=\frac{4}{3} \pi r^{3}$

Plugging the given number into V, we calculate that:

$113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3} \\$

If π=3.14, the radius is:

r ≈ 3 units.

4 0

3 years ago