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2 years ago

What is the 4th term in the sequence b(n)=1(-2)^n-1

1 answer:

8 0

$b(n)=1(-2)^n-1$

When n = 4,
$b(4)=1(-2)^4-1$

$b(4)=16-1$

$b(4)=15$

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

$b(n)=1(-2)^{n-1}$

When n = 4
$b(4)=1(-2)^{4-1}$

$b(4)=1(-2)^3$

$b(4)=1(-8)$

$b(4)=-8$

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scoundrel [369]

A(base)=6*6=36
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3 years ago

Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 55 miles uphill. After she reached the peak she rode f

Neko [114]

Answer:

Her speed on the summit was 35 mph.

Step-by-step explanation:

Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:

time uphill = distance uphill / speed uphill = 55 / (x - 10)

time summit = distance summit / speed summit = 28 / x

total time = time uphill + time summit

3 = [55 / (x - 10)] + 28 / x

3 = [55*x + 28*(x - 10)]/[x*(x - 10)]

3*x*(x - 10) = 55*x + 28*x - 280

3x² - 30*x = 83*x - 280

3x² - 113*x + 280 = 0

x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph

x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph

Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.

6 0

2 years ago

What is the slope of the line shown in the graph? -1 -2 -1/2 2

MissTica

Answer:

The slope would would be -2

Step-by-step explanation:

3 0

2 years ago

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Please simplify this fraction c:

Liula [17]

F you just want to see the really short way, just skip down to AAAAAAAAAAAA

so, here is the long explanation
exponential properties
$x^{-m}= \frac{1}{x^m}$

don't forget pemdas
2x^2=2(x^2)

so
$\frac{2x^{-4}}{3xy}$ = $\frac{2 \frac{1}{x^4} }{3xy}= \frac{2}{3x^5y}$

AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is
$\frac{2x^{-4}}{3xy}$

remember
$\frac{ab}{cd} =( \frac{a}{c})( \frac{b}{d})$

so we can seperate the constants
$\frac{ab}{cd} =( \frac{2}{3})( \frac{x^{-4}}{xy})$

we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not

terfor the answer must have 2/3 in it

the only one that hsa that is A

ANSWER IS A

3 0

2 years ago

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Please solve this math problem very simple for points and if your correct you get brainly

____ [38]

Answer:

58 and 1/2

Step-by-step explanation:

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2 years ago

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