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3 years ago

How high would a 10-story building be

1 answer:

3 0

Each story should be Generally around 10 feet (3 m) total; So that means a ten story building should be around 100 feet.

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Suppose that the division N/5 leaves a remainder of 4, and the division N/2 leaves a remainder of 1, what is the ones digit on N

Tju [1.3M]

Since N/2 leaves a remainder, N must be odd and ends with 1, 3, 5, 7, or 9.

N/5 also leaves a remainder, so N is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + 4 and 9 = 4•2 + 1

Alternatively, the given information is equivalent to saying

$N\equiv 4\pmod5\\\\N\equiv1\pmod2$

Then you can use the Chinese remainder theorem to find N.

7 0

2 years ago

Factor the expression completely.

evablogger [386]

Answer:

Factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

Step-by-step explanation:

We need to factor the expression $xy^4+x^4y^4$ completely

We need to find common terms in the expression.

Looking at the expression, we get $xy^4$ is common in both terms, so we can write:

$xy^4+x^4y^4\\=xy^4(1+x^3)$

So, taking out the common expression we get: $xy^4(1+x^3)$

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So, we get:

$xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)$

Therefor factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

6 0

3 years ago

What is the measure of angle Y?

Grace [21]

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

7 0

2 years ago

Which is the slope of the line that passes through the points (4,2) and (6,7)

Anastasy [175]

The slope is 5/2. You can find the slope by using y2-y1/x2-x1. 7-2/6-4= 5/2.

5 0

3 years ago

QUICK If r+t = r and r−t = −s which of the following must be equal to t?

lord [1]

Answer:

Well t has to be zero, for r+t to equal r itself. so -s is equal to r, because it's r-0. Answer is C

5 0

2 years ago