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Charra [1.4K]
3 years ago
11

helium gas accounts for less than 0.01% of Earth's atmosphere gases. write this percentage as a decimal and as a mixed number or

fraction in simplest form . then interpret it's meaning
Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000


Step-by-step explanation:

Step 1 To convert the percentage in decimal form.

A percentage is a ratio expressed as a fraction of 100.

So, 0.01% means 0.01 out of 100.

Therefore,

0.01%= 0.01/100

0.01%= 0.0001

Step 2: Convert the decimal in fraction form.

Remove the point by dividing by 10000

0.01%= 1/10000

The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.


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Length times the width
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The bar of the square pyramid shown has and area of 576 units. If the slant height of the pyramid is 29 units, what is the heigh
Aloiza [94]

Answer:

\sqrt{697}

Step-by-step explanation:

If the base of the square pyramid has an area of 576 units, then the side length must have a length of \sqrt{576}=24. 24/2=12, and using the pythagorean theorem you can find that the height of the pyramid is \sqrt{29^2-12^2}=\sqrt{697}. Hope this helps!

8 0
3 years ago
a new line is drawn through the point (-3,6) and perpendicular to the line with x-intercept (3,0) and y intercept (0,3) . what i
Klio2033 [76]

Answer:

The equation of the new line is y=x+9  or  y-6=(x+3)

Step-by-step explanation:

step 1

Find out the slope of the line with x-intercept (3,0) and y intercept (0,3)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{3-0}{0-3}=-1

step 2

Find the slope of the new line perpendicular to the given line

we know that

If two lines are perpendicular,then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-1 ----> slope of the given line

so

m_2=1 ---> slope of the new line

step 3

Find the equation of the new line in point slope form

y-y_1=m(x-x_1)

we have

m=1

(x_1,y_1)=(-3,6)

substitute

y-6=(1)(x+3)

y-6=(x+3) ----> equation in point slope form

Convert to slope intercept form

y=mx+b

isolate the variable y

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6 0
2 years ago
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number of subscribers, S, that use their service after y
Ivahew [28]

Options :

A. Every year the number of subscribers is estimated to increase by 8 over the number

of subscribers the year before.

B. Every year the number of subscribers is estimated to increase by 8% of the original

20,000 subscribers

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

D. Every year the number of subscribers is estimated to increase by 80% of the

original 20,000 subscribers.

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Given that:

The formula represents an exponential function :

S = 20,000 (1 + 0.08)^y

General form of an exponential equation :

y(x) = ab^x

Where a = initial value ; b = rate of change ; x = time

Comparing the formula given with the general equation:

a = 20000 = Number of subscribers when company began

b^x = (1 + 0.08)^y = percentage increase in the number of subscribers over y years

8 0
2 years ago
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