Algebra

The number you wrote down is a code for computer web pages and even the mainframe of the computer itself. 10101010101 isn't ALL of the code but it is a code none the less. in math and that kind of stuff it is 1,010,101,101,101 or 1 trillion

1/0.7 = 1.428571.. (recurring)

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Assuming base 10.

100.38 = X

= 2.398832919

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It seems that 'roster and rule' is finding a rule that the elements of a set follow, by listing the elements of the set in order.

Or possibly, the roster is the list or diagram of the ordered elements, while the rule is the equivalent form using selection of elements from a domain matching a rule.

Well, honey, when you divide a number by a letter, you're basically saying "how many times can that letter fit into the number." So, 3d divided by d is simply 3. You're basically asking "how many d's fit into 3d," and the answer is 3. Easy peasy lemon squeezy!

The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1 and 1/4, or 1.25)

Well, darling, if the car is moving and doesn't stop for a coffee break or a nap, it will travel as far as the speed and distance it covers in those 10 hours. So, put your foot on the gas and let that baby roll for 10 hours straight, and you'll have your answer. Just make sure you have enough gas in the tank to get you there!

There are 3.28084 feet in a meter and 1 foot is equal to 12 inches. Therefore, 1.64 meters is equal to 5.38058 feet. Converting the remaining decimal part to inches, we get 0.38058 feet, which is equal to 4.56696 inches. So, 1.64 meters is equivalent to 5 feet and 4.57 inches.

To simplify (m^3 \times m^6), you add the exponents when multiplying like bases. In this case, the base is (m), so you would add the exponents 3 and 6 to get (m^{3+6} = m^9). Therefore, (m^3 \times m^6) simplifies to (m^9).

The least common multiple (LCM) of 14, 28, and 49 can be found by first determining the prime factors of each number. The prime factorization of 14 is 2 x 7, 28 is 2^2 x 7, and 49 is 7^2. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 x 7^2 = 196. Therefore, the least common multiple of 14, 28, and 49 is 196.

1

Ah, let's turn that decimal into a lovely mixed fraction. 2.35 is the same as 2 wholes and 35 hundredths. So, it can be written as 2 35/100. Remember, there are many ways to express numbers, just like there are many ways to paint a happy little tree.

1. The second hand moves 1/60th of a full rotation per second, this is equivalent to 2π/60 radians per second this is known as the objects angular velocity. the equation linking linear velocity and angular velocity is v=rω where v=linear velocity, ω=angular velocity and r=radius and so we must substitute our values in. v=(15/1000)(π/30)=0.00157 m/s which is 1.57mm/s. notice instead of just putting 15 for the radius, i did 15/1000 in order to change it from millimetres to metres, this gave me the linear velocity in m/s.

Well, honey, the y-intercept is where the line crosses the y-axis, so when x=0, you solve for y. And the x-intercept is where the line crosses the x-axis, so when y=0, you solve for x. Just plug in the values and do the math, sweetie.

Well, isn't that just a happy little rectangle! To find the area, you simply multiply the length by the width. So, for this lovely rectangle with a length of 10 cm and a width of 5.5 cm, the area would be 55 square centimeters. Just imagine all the beautiful landscapes you could paint on that canvas!

8x7x6x5x4x3x2 or 40320

* * * * *

That is totally incorrect. There are only 8 combinations: one with each of the 8 numbers missing. In a combination the order does not matter so 1234567 is the same as 1236547 or 7643125 etc.

The number of combinations of 35 things taken 5 at a time is 35! / (5! * (35-5)! which is 35! / (5! * 30!). 35! / 30! is 35 * 34 * 33 * 32 * 31, and 5! is 120. After cancelling we are left with 7 * 34 * 11 * 4 * 31 which is 324,632

Oh, dude, like, the factors between 40 and 50 are just the numbers that can be multiplied together to give you a product within that range. So, you've got 41 and 43 as prime numbers, and then you've got 44 which is 4 times 11, and 45 which is 3 times 15, and 46 which is 2 times 23, and 48 which is 4 times 12, and 49 which is 7 times 7. That's it, like, nothing too exciting, just some good old math vibes.

A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.

3 and 6

Well, isn't that a happy little math problem! To find the answer, you can multiply 88 by 100 and then subtract 88 from that result. So, 88 x 100 = 8800, and 8800 - 88 = 8712. There you go, a beautiful answer just waiting to be discovered!

To find the length of one side of a square when the area is sixteen square units, you would take the square root of the area. In this case, the square root of sixteen is four. Therefore, each side of the square would be four units long.

The square of 9 is calculated by multiplying 9 by itself, which equals 81. In mathematical terms, this can be written as 9^2 = 81. The square of a number represents the area of a square with sides of that length.

Equilateral triangle means that all sides are equal in length. When it is asked for a height of equilateral triangle it refers to vertical distance from highest point of the triangle to the lowest(Right in the middle). So we got two known and one unknown which tells us that we can use Pythagorean Theorem C2=A2 + B2

A=4

B=?

C=8

Solve for B and you will get answer Square root of 48.