What is the largest factor of 18 that is also a factor of 72

Answers

Answer 1
Answer: Factors of 18 are 1, 2, 3, 6, 9 , 18 ;
Factors of 72 are 1, 2, 3, 4, 6, 8, 9 , 12 , 18,  24, 36, 72 ;
The factors that are common to all two  numbers are 1, 2, 3, 6, 18 ;
The largest of the common factors is 18, so the Greatest Common Factor of 18 and 72 is 18 .

Answer 2
Answer: The Greatest Common Factor for 18 and 72 is 18

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Story problem that can be solved by finding the sum of 506,211 and 424,809

Convert  4 7/31 into a decimal rounded to the
nearest thousandth.

Answers

4(7)/(31)=4.225806451...\approx4.226
4.22  = 4 7/31
4 is the whole number. 7 divided by 31 = 0.22

Please help me in this with the steps.

Answers

Answer:

P is at (2, 7), and Q is at (6, 11).

The midpoint of PQ is at (4, 9), calculated as follows:

((2 + 6)/2, (7 + 11)/2) = (8/2, 18/2) = (4, 9)

Four expression are shown below 1. 2(2x^2-2x-60)
2. 4(x^2-x-30)
3. 4(x+6)(x-5)
4. 4x(x-1)-120
The expression 4x^2-4x-120 is equivalent to which one above
*could be more than one*

Answers

Hello,

A :4x²-4x-120=2(2x²-2x-60) is TRUE

B: 4x²-4x-120=4(x²-x-30) is TRUE

C: 4(x+6)(x-5)=4(x²+x-30) is FALSE

D: 4x(x-1)-120=4x²-4x-120 is TRUE

(0)Radio direction finders are placed at points A and B, which are 4.32 mi apart on an east-west line, with A west of B. The transmitter has bearings 10.1 from A and 310.1 from B. Find the distance from A.

Answers

2.95 miles

The question involves radio direction finders placed at two points, A and B, which are 4.32 miles apart on an east-west line. The transmitter has bearings 10.1 degrees from A and 310.1 degrees from B. The task is to determine the distance from A.In order to determine the distance from A, the first step is to construct a diagram of the scenario to visualize the placement of the three points, A, B, and the transmitter. To do so, a coordinate system is used, with A being located at the origin (0,0).The bearing of the transmitter from A is 10.1 degrees, which can be plotted on the diagram as a straight line from the origin to an angle of 10.1 degrees to the east. Similarly, the bearing of the transmitter from B is 310.1 degrees, which can be plotted on the diagram as a straight line from point B to an angle of 49.9 degrees to the west.To determine the distance from A, the Law of Cosines can be applied, which states that c^2 = a^2 + b^2 − 2ab cos(C), where c is the unknown side, a and b are the known sides, and C is the angle opposite the unknown side. In this case, c is the distance from A, a is the distance from B, and b is the distance between A and B. The angle C is equal to the sum of the two bearings (10.1 + 49.9 = 60 degrees).Therefore, c^2 = a^2 + b^2 − 2ab cos(C) can be rewritten as:dA^2 = d^2 + 4.32^2 - 2d(4.32)cos(60)dA^2 = d^2 + 4.32^2 - 2d(4.32)(1/2)dA^2 = d^2 + 4.32^2 - 2.16dTo solve for dA, the equation can be rearranged and solved for d:0 = d^2 - 2.16d + dA^2 - 4.32^2d = 1.08 ± sqrt(1.08^2 - dA^2 + 4.32^2)The positive root of this equation can be used to determine dA:dA = 1.08 + sqrt(1.08^2 - d^2 + 4.32^2)dA = 1.08 + sqrt(1.08^2 - 4.32^2 cos^2(10.1))dA ≈ 2.95 milesTherefore, the distance from A is approximately 2.95 miles.

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16A population of 800 beetles is growing each month at a rate of 5%. About how many beetles will there be in 8
months?
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Answers

Answer:

6,720

Step-by-step explanation:

B = 800(1.05)^8

B = 800(8.4)

B = 6,720

Answer:that's a proper mad question that

Step-by-step explanation:

In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

Answers

The right answer for the question that is being asked and shown above is that: In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

x2 - 6x + 9

So the answer on the blank space is 9. It should be a perfect square.
= 6/2
= 3^2
= 9