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Lapatulllka [165]
2 years ago
7

Must show work, please helppp

Mathematics
2 answers:
katrin [286]2 years ago
8 0

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

The base of the exponent tells us the common ratio of this geometric series is 1/2. The start value of n=7 tells us the first term in the series we're evaluating is ...

  a1 = 2(1/2)^(7-4) = 2·(1/2)^3 = 2/8 = 1/4

The formula for the infinite sum of a geometric series is ...

  S = a1(1/(1-r))

Filling in the values we know, this is ...

  S = (1/4)(1/(1 -1/2)) = (1/4)(2) = 1/2

The infinite sum is 1/2.

katovenus [111]2 years ago
7 0

i can't see the photo.

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Susan had 8/9 acres of land. She planted 2/5 of it with corn. How many acres did she plant with corn?
Sergio039 [100]
\bf \textit{how much is }\frac{2}{5}\textit{ of }\frac{8}{9}?\implies \cfrac{8}{9}\cdot \cfrac{2}{5}\implies \cfrac{16}{45}

that's how many acres she planted with corn.
6 0
3 years ago
A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0
2 years ago
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each
vodomira [7]
Well if each portion is 3 pounds and there is 4 portions all together it would be 12 pounds. you already know know that the meat is 2 pounds so you subtract 2 from the whole and you are left with 10. The chopped vegetables are 10 pounds in total.
The answer is
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6 0
2 years ago
Find the surface area of the right triangular prism shown ​
Inessa05 [86]

The surface area of the triangular prism is 144 cm²

<u>Explanation:</u>

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}

On substituting the value, we get:

A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2

Therefore, the surface area of the triangular prism is 144 cm²

6 0
3 years ago
​f(x)=5​x reflected over the x axis
postnew [5]

Answer:

f(x) = -5x

Step-by-step explanation:

Just add a - sign to reflect it over the x axis

6 0
3 years ago
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