The number 1,563,385 rounded off to the nearest million becomes A. 2,000,000.
B. 1,600,000.
C. 1,563,400.
D. 1,563,000.

Answers

Answer 1

Answer:

Round up the millions place digit from 1 to 2 and set the rest of the digits to zeros, resulting in option A. 2,000,000.

To round the number 1,563,385 to the nearest million,

Need to consider the digits in the millions place and the digits immediately to its right (the hundred thousands place).

The millions place digit is 1, and the digit in the hundred thousands place is 5.

Since the digit in the hundred thousands place is 5 or greater,

Need to round up the millions place digit by 1.

Now let's adjust the number accordingly:

Original number: 1,563,385

Rounded to the nearest million: 2,000,000

Therefore, the correct answer to represent the number in nearest million is option A. 2,000,000.

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Answer 2

Answer: The answer is A because it says to round it to the nearest million not thousand or hundred.
Hope this helps.

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What 3 numbers multiply to get 63?

Answers

The three numbers to multiply to get 63 is A = 3 x 3 x 7

Given data ,

Let the number be represented as A

where the value of A = 63

Let the three numbers be represented as a , b , c

where the a , b , c are the factors of A

The factorization of the number 63 will be the three numbers to multiply to get the number 63

So , prime factorization of 63 is: 3 x 3 x 7

Hence , the three numbers are 3 , 3 and 7

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There are many combinations if the numbers are not required to be integers.

If they are required to be integers, I'd suggest:

3*7*3 = 63

Calculate the discriminant.

x2 – x – 2 = 0

Answers

$\Delta=(-1)^2-4\cdot1\cdot(-2)=1+8=9$

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

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Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle? A. x2 + y2 − 6x − 16y + 48 = 0 B. x2 + y2 − 6x − 16y − 25 = 0 C. x2 + y2 + 6x + 16y + 48 = 0 D. x2 + y2 + 6x + 16y − 25 = 0

Answers

Answer:

A. x² +y² -6x -16y +48 = 0

Step-by-step explanation:

The standard-form equation for a circle centered at (h, k) with radius r is ...

(x -h)² +(y -k)² = r²

For your circle, this is ...

(x -3)² +(y -8)² = 5²

To put this in general form, you subtract the constant on the right, and eliminate parentheses:

x² -6x +9 +y² -16x +64 -25 = 0

x² +y² -6x -16y +48 = 0 . . . . . rearrange to descending powers of x, y

You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats. Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace? Take ur time...

Answers

You = 2

King = 2

5 Queens = 5 X 2 = 10

5 X 5 = 25
There are 25 rooms belonging to Queens.

25 X 5 = 125
There are 125 big cats.

125 X 5 = 625
There are 625 little cats.

625 + 125= 750
There are 750 cats in total.

750 cats = 750 X 4 = 3000

Total legs = 2 + 2 + 10 + 3000 = 3014
There are 3014 legs in the palace.

Evaluate a + b for a = 2 and b = 3.
1
5
6