Algebra

Oh, dude, 3350000 in scientific notation is 3.35 x 10^6. It's like when you're too lazy to write out all those zeros, so you just throw them into a little exponent party. Easy peasy, lemon squeezy.

Oh, dude, the value of four in 964 is like 400. It's in the hundreds place, so it's worth 400. But hey, who's really counting, right?

When you multiply W squared by W squared, you are essentially multiplying W raised to the power of 2 by W raised to the power of 2. This results in W raised to the power of 4, as you add the exponents when multiplying like bases. Therefore, W squared times W squared equals W to the power of 4.

0.0237

Oh, dude, so like, 502.6548246 to 3 significant figures is 503. Because, you know, we're just rounding it off, making it look all fancy and stuff. Who even needs all those extra decimals anyway, right?

Pi is between 3 and 4 (3.1415...)

To simplify the expression 6g - g, you first need to combine like terms. Like terms have the same variable raised to the same power. In this case, both terms have the variable g raised to the power of 1. When you subtract g from 6g, you are left with 5g. Therefore, the simplified form of 6g - g is 5g.

well one way to do it is to add:

3 to the first term

5 to the second

7 to the third

9 to the next

we are starting with a1=4, that is the first term and have a sequence where the we add 2n-1 to the n-1 term.

a_n = a_n-1+2n+1 so a_2=4+(2x2-1)=7 a_3=7+(2x3-1)=12 a_4=12+(2x4-1)=19 a_5 is obtained by taking a sub 4, and add (2x5-1) or 19+9=28

a_n means a sub n, where n is the subscript, or course.

So the nth term is a_n=a_n1+(2n-1)...

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wrong, considering:

1st term; 1 + 3 = 4

2nd term; 2 + 5 = 7

3rd term; 3 + 7 = not 12 :')

correctly mentioned though, there ARE other ways of doing this!

take the example of the first term, n=1. square that number, then add 3.

what do you get? 1*1 = 1, 1+3 = 4 (correct)

now try it with others:

2*2 = 4, 4 + 3 = 7

3*3 = 9, 9 + 3 = 12

4*4 = 16, 16 + 3 = 19

5*5 = 25, 25 + 3 = 28

TA-DA! ;D

therefore, the simple answer = n^2+3 (N squared plus three)

- from Adam -

Negative 8 to the negative 2 power is equal to 1/(-8)^2, which simplifies to 1/64. So, the answer is 1/64. Hope that helps, sweetie!

The decimal for 7/100 is 0.07. To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, 7 divided by 100 equals 0.07. This decimal represents seven one-hundredths.

In mathematics, the expression x7 typically represents the product of x and 7, while 7x represents the product of 7 and x. In general, the order of terms in a multiplication expression does not change the result. However, in algebra, the order of terms can be important when simplifying or solving equations.

The shape described is a kite, which is a quadrilateral with two pairs of equal adjacent sides and one reflex angle. A kite has an axis of symmetry along the line connecting the midpoints of the non-congruent sides. The reflex angle in a kite is typically greater than 180 degrees, creating a distinct shape that is not a regular quadrilateral.

A grape is closest to a sphere. 4*pi*r*r is the surface area. Measure the grape from side to side the take half of that for the radius.

The closer the grape is to a sphere the more accurate it is. The more it is to an ovoid the less it will be accurate.

Oh, dude, the Highest Common Factor of 80? That's just the biggest number that can divide evenly into 80. So, like, the HCF of 80 is 80 itself because it's the highest number that can go into 80 without leaving a remainder. Easy peasy, right?

Well, honey, if you're looking for numbers that multiply to 32, you've got a few options. You've got 1 and 32, 2 and 16, and 4 and 8. Those are the pairs that will give you 32 when you multiply them together. Math can be a real hoot, can't it?

Oh, dude, pi is the same everywhere! It's a mathematical constant representing the ratio of a circle's circumference to its diameter. So whether you're in the US, France, or Timbuktu, pi remains 3.14159... You can't change math just by crossing a border, like, come on!

To write 52 as a mixed number, you divide 52 by the whole number part of the mixed number, which is 1. This gives you 52 divided by 1 equals 52. Therefore, the mixed number is 52/1, which simplifies to 52. So, 52 can be written as the mixed number 52/1.

The integer value of 5 degrees under zero is -5. It is -5 because using a number line you would be able to see 5 units under zero is -5.

Well, let's take a moment to appreciate the beauty of this question. If we have a distance of 50 meters and it takes 5 seconds to cover that distance, we can find the speed by dividing the distance by the time. So, 50 meters divided by 5 seconds gives us a speed of 10 meters per second. Isn't that just a happy little calculation?

Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.

To write 75,308,403 in expanded form, you would break down each digit based on its place value.

75,000,000 (70 million) + 300,000 (300 thousand) + 8,000 (8 thousand) + 400 (400) + 3 (3)

Therefore, the expanded form of 75,308,403 is 70,000,000 + 300,000 + 8,000 + 400 + 3.

Sure thing, honey. To write 128 in expanded notation using exponents, you'd express it as 1 x 10^2 + 2 x 10^1 + 8 x 10^0. So, it would be 1 x 100 + 2 x 10 + 8 x 1. Easy peasy lemon squeezy.

20,100

S200=2002(1+200)
S200=100(201)
S200=20100

Approximately 24,020,167.4277 years, give or take a day depending on how close to a leap year you started the quadrillion second count.

1 quadrillion is 1 with 15 zeros => 1,000,000,000,000,000.

1 quadrillion divided by 86,400 (seconds in a day) is around 11,574,074,074.0741 days.

If you take this number of days, and divide by 365, you get approximately 31,709,791.9838. To compensate for leap year, you have to subtract a day for every 4 years, but then you have to re-add a day for every 100 years, and then finally subtract an additional day for every 400 years. The reason for this, is a leap year happens every 4 years, unless the year is evenly divisible by 100, unless it is also evenly divisible by 400.