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3 years ago

Is the value of (1.7 x 104) x (2.1 x 10-8) greater than 1 or

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

Greater than 1

Step-by-step explanation:

(1.7 x 10^4) x (2.1 x 10^8)

(1.7 x 10000) x (2.1 x 100000000)

(17000) x (210000000)

3.57^12 <- answer

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Britney's town voted on the new speed limit. Out of 48 votes, 12 are in favor of the new speed limit. What percentage of the vot

Reptile [31]

Answer:

25%

Step-by-step explanation:

6 0

3 years ago

The coordinates of the point that is a reflection of Y(-4,-2) across the x-axis are what. The coordinates of the point that is r

Andreas93 [3]

Answer:

Step-by-step explanation:

across x axis:(-4,2)

across y-axis:(4,-2)

6 0

3 years ago

Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really ne

telo118 [61]

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.

-11/3 = x - 5/4 (convert to improper fractions)

-44 = 12x - 15 (multiply everything by 12 to get whole numbers)

-29 = 12x (add 15 to both sides)

-29/12 = x (divide both sides by 12)

2 5/12 = x (convert to a mixed number, because that's what the question asks)

For clarity, that's two and five twelfths.

2) Same thing as above. I prefer improper fractions.

x + 17/6 = -1/5 (simplify and convert to improper fractions)

30x + 85 = -6 (multiply everything by 30 to get whole numbers)

30x = -91 (subtract 85 from both sides)

x = -91/30 (divide both sides by 30

x = -3 1/30 (convert to a mixed number, because that's what the question asks)

For clarity, thats minus/negative three and one thirtieth.

3) Same thing as above.

-(11/3)x = -11/5

-55x = -33

55x = 33

x = 33/55

x = 3/5

4) Same as above, but it's multiple choice! Yay!

-3m = 84

m = -28

5) You know the drill.

-b = 27

b = -27

I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:

8 0

3 years ago

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

zzz [600]

Answer:

Step-by-step explanation:

To simplify something that looks like $\frac{\text{whatever}}{\sqrt{a}-\sqrt{b}}$ you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

$\sqrt{a}+\sqrt{b}$ .

If you had $\frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}$ , then you would multiply top and bottom the conjugate of $\sqrt{a}+\sqrt{b}$ which is $\sqrt{a}-\sqrt{b}$ .

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First: a(a)=a^2

Outer: a(-b)=-ab

Inner: b(a)=ab

Last: b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of $\sqrt{17}-\sqrt{2}$ is