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3 years ago

12

PLEASE HELP 25 POINTS

1 answer:

gulaghasi [49]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

First term = S(1) = 1

Common difference = S(n+1) - S(n) = 1 -6n

t(n) value: can't answer this as I don't know what t(n) refers to,

Discussion:

Let S(n) = 4n - 3n^2

First term:

S(1) = 4(1) - 3(1)^2 = 4 - 3 = 1

Common difference:

S(n+1) - S(n) = ( 4(n+1) - 3 (n+1)^2) - (4n - 3n^2)

= (4n + 4 - 3n^2 -6n -3) - 4n + 3n^2

(now cancel common terms)

= -6n + 4 - 3 = -6n + 1

S(n+1) = S(n) -6n + 1

Thank you,

MrB

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Which ratio correctly compares 60 mm to 45 cm?

docker41 [41]

First we need to convert cm to mm
45 cm = 450 mm

Now our ratio looks like this
60/450
We can divide both by 30 and once we do that our ratio will look like this:
2/15

That means the answer is B

6 0

3 years ago

Someone help me please and thank you!! ASAP :(

pantera1 [17]

<h3>Answer: Choice D) </h3>

Work Shown:

$(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\$

We must require that $x \ne -12$ and $x \ne 3$ to avoid having 0 in the denominator. This is why choice D is the answer.

3 0

2 years ago

On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?

STALIN [3.7K]

Answer:

A. reflection across the y-axiss

Step-by-step explanation:

Given:

The locations of the two points are (-4 , 8) and (-4 , -8).

To find:

The relation between two points.

From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

$(x,y)$ → $(-x,y)$

For (-4,8)

$(-4,8)$ → $(-4,-8)$

So, it is reflection across the y-axis.

Therefore, the correct option is A.

6 0

2 years ago

10^2+12^2+14^2+......+26^2=??

Kazeer [188]

Answer:

3156

Step-by-step explanation:

<em>Used formula:</em>
<em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>

--------

10²+12²+14²+......+26² =
(2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
4*(5²+6²+7²+...+13²) =
4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
4*(1/6*13*14*27- 30) =
4*(819 - 30) =
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3156

3 0

3 years ago

The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

nalin [4]

Answer:

Part 1) The area is $A=4,069.44\ in^{2}$

Part 2) The circumference is $C=226.08\ in$

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

$A=\pi r^{2}$

we have

$r=72/2=36\ in$ ------> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(36)^{2}$

$A=4,069.44\ in^{2}$

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

$C=\pi D$

we have

$D=72\ in$

$\pi =3.14$

substitute

$C=(3.14)(72)$

$C=226.08\ in$

5 0

3 years ago