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3 years ago

For the geometric series 4 + 20 + 100 + 500 what is the value of n?

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

(n×5)

Step-by-step explanation:

Divide the second term by the first to find the ratio.

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Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

3 years ago

Can someone tell me how to resolve this? Please....

trapecia [35]

Use the distributive property for the left side first
3.2=1/2q+5.65
subtract 5.65 from both sides
-2.45=1/2q
divide both sides by 1/2
q=-4.9

6 0

3 years ago

Which part of the graph will the directrix pass through?

OLEGan [10]

Answer:

Step-by-step explanation:

I just did it

8 0

3 years ago

a farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th

stiks02 [169]

Answer:

11.6 ft

Step-by-step explanation:

I attached a diagram for you to easily visualize this problem.

To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.

Substitute 3, 12, and x into the pythagorean theorem like so.

a^2 + b^2 = c^2

3^2 + x^2 = 12^2

Evaluate the exponents.

9 + x^2 = 144

Subtract 9 from both sides.

x^2 = 135

Square root both sides.

x = 11.618

Round this to the nearest tenth: 11.6 feet.

6 0

3 years ago

PLEASE HELP!! I will mark the brainliest if you can explain your answer!! I think it’s either b or c..... but I’m not sure!!! Pl

BARSIC [14]

Answer:

A(x) = 6.2 - 0.005x

Step-by-step explanation:

If you think about it, either 0.5/0.005 needs to be equal to 0.5%

0.5 is the same as 1/2 and therefore it is the same as 50%

So it must be 0.005!

Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method

3 0

3 years ago