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3 years ago

What is ∑[100(−4)n−1] equal to? 4 is on top n=1 on bottom

Mathematics

2 answers:

saveliy_v [14]3 years ago

8 0

4
 ∑ [100(−4)n−1]
n=1

Once again, since this is summation notation:

Start at the number on the bottom. Plug in that number to the equation on the right, plug in the next number into the equation on the right, and so on, until you get to the number on top. Plug in that final number, and after you get the solution, add all the solutions you have all together.

One thing though: the bottom number cannot be bigger than the number on top.

n=1; 100 x (-4) x (1) - 1 = -401
n=2; 100 x (-4) x (2) - 1 = -801
n=3; 100 x (-4) x (3) - 1 = -12001
n=4; 100 x (-4) x (4) - 1 = - 16001

-401-801-12001-16001 = -29204

antiseptic1488 [7]3 years ago

5 0

Answer:

I tried using that other answer but it wasn't correct, this is the right answer!!!

Step-by-step explanation:

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Which graph represents the solution set to this system of equations? y = –1 2 x + 3 and y = 1 2 x - 1 On a coordinate plane, a l

vivado [14]

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).

Step-by-step explanation:

Given that the system of equations are:

y = –1 /2 x + 3 and y = 1 /2 x - 1

Let us first try the first option

On a coordinate plane, a line goes through (- 4, 1) and (0, 3) and another line goes through (-2, - 2) and (0,- 1)

The slope M1 = (3-1)/(0--4) = 2/4 = 1/2

The calculated slope is positive. But the slope of the first equation is negative. So we ignore the first option.

The next option that makes sense is the last option. That is

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, -1) and (2, 0). So let also try it by calculating the two slopes

M1 = (2-3)/(2-0) = -1/2 ( perfect)

M2 = (0- -1)/(2-0) = 1/2 (perfect)

Because, from the two equations

y = –1 /2 x + 3 and y = 1 /2 x - 1

The slope of the first is negative and the slope of the second is positive. Also, they have a corresponding intercept which are positive 3 and negative 1

4 0

4 years ago

Read 2 more answers

How do i find the x intercet for y=6x−7.

kolezko [41]

Answer:

Step-by-step explanation:

y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-6x+7 = 0 and calculate its properties.

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -7/1 so this line "cuts" the y axis at y=-7.00000

y-intercept = -7/1 = -7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/6 Our line therefore "cuts" the x axis at x= 1.16667

x-intercept = 7/6 = 1.16667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - (-7.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 12.000/2.000 = 6.000

x-intercept = 7/6 = 1.16667

y-intercept = -7/1 = -7.00000

3 0

3 years ago

Marco roberto and dominique work for a publishing company. The company wants to send two employees to a statistics conference. T

coldgirl [10]

2/3 i believe, the odds are with him. “May the odds be ever in your favour”

7 0

3 years ago

strojnjashka [21]

Answer:

2500 pence (C = 2500)

Step-by-step explanation:

$C = 10t + 20m$

From the given information, t is the number of texts so essentially you will plug in the number of texts provided (150) in the place of the variable t.

$C = 10(150) + 20m$

Apply the same thing to minutes, plug in the number of minutes (50) in the place of the variable m.

$C = 10(150) + 20(50)$

Now multiply the substitutes with the co-efficient.

$C = 1500 + 1000$ (10*150=1500 & 20*50=1000)

Add the addends

C = 2500

7 0

3 years ago

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati

Svetach [21]

Answer:

Answer:18+4.5 $\pi \\$

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2 and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0

3 years ago