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Lena [83]
4 years ago
11

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

Mathematics
1 answer:
Nata [24]4 years ago
5 0

Answer:

D

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

3 0
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}

4 0
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!!

5 0
4 years ago
Read 2 more answers
A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The
Nadusha1986 [10]

I just finished this test and the correct answer is "4x + 6y < 120" or "B"

8 0
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>

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  • 3 = x ÷ 4  ⇒ x = 3*4 = 12
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3 of them involves addition, one of them - multiplication

The second expression doesn't belong

4 0
3 years ago
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