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3 years ago

What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?

1 answer:

const2013 [10]3 years ago

4 0

$S_7=-4+24-144+864-5184+31104-186624$
$S_7=-4(1-6+36-216+1296-7776+46656)$
$(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)$
$S_7-(-6)S_7=-4(1+279936)$
$S_7=-\dfrac47\times279937=-159964$

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A carpenter bought a piece of wood that was 112 centimeters long. Then he sawed 24.53 centimeters off the end. How long is the p

saul85 [17]

Answer:

87.47 cm

Step-by-step explanation:

112-24.53 is 87.47

8 0

3 years ago

How does the slope of g(x) compare to the slope of f(x)?

Maru [420]

Answer:

The answer is 'The slope of g(x) is less than the slope of f(x)'

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ $\text{The slope of f(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{2-1}=2$

The graph of g(x) passes through the points (0,2) and (2,3)

∴ $\text{The slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{2-0}=\frac{1}{2}$

As $\frac{1}{2}$

This shows that the

The slope of g(x) is less than the slope of f(x).

8 0

3 years ago

Read 2 more answers

76 19 in ratio simplest form

Nata [24]

Putting the two numbers together in fraction form of a ratio, we have 76/19. We know that something multiplied by 19 will equal to 76.

When we try to multiply 4 and 19 together, we have our nice answer 76. We then replace out values in the original ratio, in which we get the final answer of 4:1, 4/1, or 4 to 1.

8 0

3 years ago

If you ran exactly one mile, how many feet did you run

elena-s [515]

Solution:

we have been asked to find

If you ran exactly one mile, how many feet did you run.

It mean , we will have to convert miles in feet.

As we know that

1 mile is equivalent to 5280 feet.

Hence , we can use this conversion to get the exact value of miles in feet.

If you ran exactly one mile,it mean you ran exactly for 5280 feet.

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3 years ago

Read 2 more answers

Please help no links please

allsm [11]

Answer:

Step-by-step explanation:

The secant- tangent angle MLK is half the difference of the intercepted arcs, that is

$\frac{1}{2}$ (KN - KM) = 70° ( multiply both sides by 2 to clear the fraction )

KN - KM = 140°

KN - 61° = 140° ( add 61° to both sides )

KN = 201° → C

8 0

3 years ago