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3 years ago

I NEED HELP I DON'T KNOW HOW TO DO THIS

Mathematics

1 answer:

zubka84 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

For numbers 1 or greater whose leading digits are about 3.2 or less, the "order of magnitude" is the number of decimal places between the first digit and the decimal point. (If the number is more than that, the order of magnitude is 1 higher.)

a) The total weight of the 5 cars is about 5×3000 = 15,000. There are 4 digits between the leading 1 and the decimal point, so this number has an order of magnitude of 4.

Another way to find it is to take the (base-10) logarithm and round to the nearest integer.

log(15000) ≈ 4.2 ≈ 4 . . . . the order of magnitude is 4

b) The total number of voters is 7×20,000 = 140,000. There are 5 digits between the leading 1 and the decimal point, so the order of magnitude is 5.

log(140,000) ≈ 5.1 ≈ 5 . . . . the order of magnitude is 5

_____

More precise discussion of the cutoff

The reason we put a cutoff of about 3.2 is that log(3.2) ≈ 0.5. The logarithm will actually round up if the number is about 3.162278 or above. So, the order of magnitude of 31.6 might be said to be 1, while the order of magnitude of 31.7 would be said to be 2.

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The denominator of a fraction is four more than three times the numerator. if both numerator and denominator are increased by fo

Ann [662]

Let's call the numerator $x$ . Since the denominator is four more than three times the numerator, it means that it equals $3x+4$ . So, the original fraction is

$\frac{x}{3x+4}$

Note that this implies that $x \neq \frac{-4}{3}$ , otherwise the denominator would be zero. Now, we need to increase both numerator and denominator by 4, obtaining this new fraction:

$\frac{x+4}{3x+4+4} = \frac{x+4}{3x+8}$

Note that this implies that $x \neq \frac{-8}{3}$ , otherwise the denominator would be zero. And we know that this equals 925 (assuming that 925925 is some kind of typo/formatting error). This leads to the equation

$\frac{x+4}{3x+8} = 925$

Since we assumed that the denominator is not zero, we can multiply both sides by it, so that the equation becomes

$x+4 = 925(3x+8) = 7400 + 2775 x$

Subtract 4 from both sides to get

$x = 7396 + 2775 x$

Subtract 2775x from both sides to get

$-2774 x = 7396$

Finally, divide both sides by -2774 to get

$x = \frac{7396}{-2774}$

8 0

3 years ago

Help me on my math please

Gnesinka [82]

Hi! I'm happy to help!

First you will need to split your line into the appropriate number of divisions. Because the fraction has a denominator (bottom) of 8, we split into 8 divisions. From there you count up from zero to 7, because it is 7/8.

0 is 0, the next dash is one, the next is two, and so on. The number one should be 8. Place the marker on the one that counts as 7.

I hope this was helpful, keep learning! :D

6 0

3 years ago

What is log Subscript 6 Baseline e Superscript f rewritten using the power property?

mars1129 [50]

Answer:

flog6e

Step-by-step explanation:

I got it right on edg

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3 years ago

Given the system of equations, what is the solution?

jekas [21]

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = $\frac{-34}{7}$

Plugin x value into either equation to solve for y.

2y = (3 × $\frac{-34}{7}$ ) + 10

2y = $\frac{-106}{7}$ + 10

2y = $\frac{-32}{7}$

y = $\frac{-16}{7}$

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3 years ago

Solve the equation: (2x^3+5x^2)(1−2x)=0 Its says there are two solutions, please explain

maria [59]

Answer:

Exact Form:

x=−1/2,2,1

Decimal Form:

x=−0.5,2,1

Step-by-step explanation:

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3 years ago