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2 years ago

Round to the nearest tenth 6829

Mathematics

1 answer:

VLD [36.1K]2 years ago

7 0

Answer:

6830 if you round to the nearest ten

you said Tenth as in decimals. If that's what you meant, it's 6829

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Originally 21 acts were tentatively to perform at the arena ; only 10 have been booked. What is the shortfall if the other acts

Yakvenalex [24]

Find the number of acts not booked = 21 - 10 = 11

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8 0

2 years ago

Read 2 more answers

Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power

Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k = 1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

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3 years ago

The area of the patio is 216 square feet. Write an equation that represents the area of the patio

Hoochie [10]

Answer:

$216=2w \times w$

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

$A= l\times w$

Where $l$ is the length and $w$ is the width.

Now let's assume that the length of the patio is double than the width.

$l=2w$

So, the equation that represents this problem is

$216=2w \times w$

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3 years ago

When translating the phrase "twice the quantity of four more than three times a number"on students wrote the expression 2*3x+4

kozerog [31]

It is wrong because the equation is missing parentheses around the sum

When it says "the quantity of..." it always means parentheses. The correct equation is 2(3x+4)

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2 years ago

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Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$