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3 years ago

What is 58,000,000,000 estimated as the product of a single digit and a power of 10?

2 answers:

5 0

$The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}.\\\\5\underbrace{8,000,000,000}_{\leftarrow10}=5.8\cdot10^{10}\approx6\cdot10^{10}\to\fbox{D.}$

Veronika [31]3 years ago

3 0

The number 58,000,000 is number that may be expressed in its scientific notation as 5.8 x 10^9. However, we are asked to answer such that the product be of single digit only. That is obtained by rounding the number 5.8 to 6. Thus, the answer is 6 x 10^9.

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The segment image is drawn from F(2, 9) to H(10, 1) with point G on the segment. What coordinates for point G will divide image

igomit [66]

Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.

If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).

The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.

That means our point must fall 3 and move to the 3 spaces from our starting point of (2, 9). That will put us at (5, 6).

8 0

3 years ago

If g(x) = x2 + 2, find g(3). (2 points)<br> Оа<br> 9<br> Ob<br> 8<br> Ос<br> 11<br> Od<br> 6

wolverine [178]

The answer is 8 so Ob

8 0

3 years ago

If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.

Talja [164]

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7