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4 years ago

Which value in scientific notation is the best estimate for 0.0000058102?

Mathematics

1 answer:

Nata [24]4 years ago

5 0

Answer:

Step-by-step explanation:

0.0000058102 can be rounded to 0.000006.

5 x 10^-5 = 0.00005

6 x 10^-5 = 0.00006

5 x 10^-6 = 0.000006

6 x 10^-6 = 0.000006

The closest answer to the estimate is option D.

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What value of a in the equation ax − 4 = 2y would give a line with a slope of 2?

sukhopar [10]

Answer:

a=4

Step-by-step explanation:

ax − 4 = 2y

We need to get the equation is slope intercept form y= mx+b.

Lets solve for y

Divide each side by 2

a/2 x - 4/2 = 2y/2

a/2 x -2 = y

or y=a/2 x -2

The slope is a/2 and the y intercept is -2

We want a slope of 2 so a/2 =2

a/2=2

Multiply each side by 2

a/2 * 2 =2*2

a =4

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3 years ago

Yis inversely proportional to the square of x.

PtichkaEL [24]

Answer:

(a) $y = \frac{4}{x^2}$

(b) $x = \frac{2}{5}$

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

$y\ \alpha\ \frac{1}{x^2}$

See attachment for table

Solving (a):

First convert variation to equation

$y = k\frac{1}{x^2}$

From the table:

$(x,y) = (1,4)$

So, we have:

$4 = k * \frac{1}{1^2}$

$4 = k * \frac{1}{1}$

$4 = k * 1$

$4 = k$

$k = 4$

Substitute 4 for k in $y = k\frac{1}{x^2}$

$y = 4 * \frac{1}{x^2}$

$y = \frac{4}{x^2}$

Solving (b): x when y = 25.

Substitute 25 for y in $y = \frac{4}{x^2}$

$25 = \frac{4}{x^2}$

Cross Multiply

$25 * x^2 = 4$

Divide through by 25

$x^2 = \frac{4}{25}$

Take positive square roots of both sides

$x = \sqrt{\frac{4}{25}$

$x = \frac{2}{5}$

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3 years ago

A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. Let w = quarts of water left in the tub and t =

Sunny_sXe [5.5K]

w = 50 - 2.5t

Is there a viable solution when time is 30 minutes? No, because by then the tub will be empty.

Hope this Helps!!

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4 years ago

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4 years ago

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Which expression does not belong with the other three? Explain your reasoning. 8 = x —2 3 = x ÷ 4 x − 6 = 5 x —3 = 9

Scorpion4ik [409]

Answer:

3 = x ÷ 4

Step-by-step explanation:

<u>Given expressions:</u>

8 = x - 2 ⇒ x = 8 + 2= 10
3 = x ÷ 4 ⇒ x = 3*4 = 12
x - 6 = 5 ⇒ x = 5 + 6 = 11
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3 of them involves addition, one of them - multiplication

The second expression doesn't belong

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