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2 years ago

.write the number in .000101 in scientific notation

Mathematics

1 answer:

schepotkina [342]2 years ago

6 0

Answer:

1.01*10^-4

Step-by-step explanation:

first nonzero digit is 4 places to the right of the decimal point

.000101

move decimal point 4 places to the right

1.01

multiply by 10^-4 since it was 4 places to the right

1.01*10^-4

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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

$Area = \frac{1}{2} ap$

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

$Area = \frac{1}{2} \times 14 \times 96 {cm}^{2}$

$Area =672 {cm}^{2}$

Therefore the approximate area of the hexagon is 672cm²

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2 years ago

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Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20

nikklg [1K]

Answer:

It is a solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.

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2 years ago

A construction worker has 1,032 nails. He needs to put them in containers with 12 in each container. How many containers will he

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Answer:

Step-by-step explanation:

1,032 ÷ 12 = 86

86 containers would be needed.

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2 years ago

If n = 13, then P(t > 2.2) < 0.025 True or false

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Answer:

true

Step-by-step explanation:

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2 years ago

Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of

bazaltina [42]

Answer: Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

$S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}$

According to question, four days later, it becomes,

$S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg$

We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

$10+0.625\\\\10.625\ mg$

Hence, Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

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2 years ago

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