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makkiz [27]
2 years ago
10

Determine if 51 is rational or irrational and give a reason for your answer

Mathematics
1 answer:
Luden [163]2 years ago
8 0

Answer:

irrational because the square root of 51 is irrational.

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12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
3 years ago
Read 2 more answers
Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What
cupoosta [38]

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74 Dollars (Approximate)  

{Rounded to the nearest cent} (Answer)

7 0
3 years ago
Find the value of x. <br><br> I tried 40 but it told me it was incorrect.
Valentin [98]

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

4 0
3 years ago
20+x=25 so I'm doing addition property of equality so what does this mean
Stels [109]

The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

3 0
3 years ago
Divide 5kg in the ratio 13:7​
aleksley [76]

Answer:

1.75 kg

Step-by-step explanation:

13/20 of 5 = 13/20 x 5= 3.25 kg

and, 7/20 of 5 = 7/20 x 5=1.75 kg

so, divide, 5 kg in ration of 13:7 is:

3.25 kg : 1.75 kg

7 0
3 years ago
Read 2 more answers
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