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Elza [17]
3 years ago
5

Which equation has no solution?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0
D is the one that has no solution
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Find the sum of the first four terms of the geometric sequence shown below. 4​, 4/ 3​, 4/9​, ...
user100 [1]
It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

S_4=4+\dfrac43+\dfrac49+\dfrac4{27}

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}

Now subtracting this from S_4 gives

S_4-\dfrac13S_4=4-\dfrac4{81}

That is, all the matching terms will cancel. Now solving for S_4, you
have

\dfrac23S_4=4\left(1-\dfrac1{81}\right)
S_4=6\left(1-\dfrac1{81}\right)
S_4=\dfrac{480}{81}=\dfrac{160}{27}
3 0
3 years ago
A triangle height is 2/4 mm and the base is 8 mm. What is the area of the triangle?
Darina [25.2K]

Answer:

the answer would be 2mm^2

8 0
3 years ago
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HELP ASAP!!!! <br><br> What is the surface area of the rectangular prism??
il63 [147K]
The surface area of a rectangular prism is measured by multiplying length, width, and height:

a = l•w•h

4 • 5 • 15

20 • 15 = 300

So the area of this rectangular prism is 300<span>in².</span>
7 0
3 years ago
What is the lateral surface area of the cylinder
SOVA2 [1]

Answer:

534.07?

Step-by-step explanation:

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3 years ago
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Solve the simultaneous equation :<br><br> 4x+2y=17<br> 3x+2y=14
enot [183]

Answer:

(x, y) = (3, 5/2)

Step-by-step explanation:

4x+2y=17\\3x+2y=14

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

4x+2y=17\\-(3x+2y=14)

Now just add those from top to bottom.

\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}

(x, y) = (3, 5/2)

6 0
2 years ago
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