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Eddi Din [679]
2 years ago
10

Write the following ratio using two other notations.

ormula1" title=" \frac{1}{3} " alt=" \frac{1}{3} " align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

1:3

1 to 3

Step-by-step explanation:

The other notations a ratio \frac{a}{b} can be written in are a:b and a to b.

From what we are given, a = 1 and b = 3, so in the form a:b, the ration would be 1:3 and in the form a to b it would be 1 to 3.

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Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

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Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

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Find the volume of this figure. round your answer to the nearest hundredth. if necessary<br><br>#8
ivann1987 [24]

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

<em>(b*h)÷2 = Area of a triangle</em>

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<em>Base = 4</em>

<em>Height = 3</em>

<em>Now:</em>

<em>(4*3)/2 = 6 miles²</em>

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<em>Now we have to multiply 6 miles² by 5 as our height.</em>

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Explain when to use Mental Math
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3 0
3 years ago
A virus that initially infected four people is spreading at a rate of 15% each week.
Solnce55 [7]

Answer:

"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"

Step-by-step explanation:

<u>Complete Question:</u>

A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily

f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily

f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily

f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily

<u>Solution:</u>

The weekly number of people infected would be:

f(x)=4(1.15)^x

7 days in a week, so daily number of people infected would be:

f(x)=4(1+r)^{7x}

To find daily rate, we set these 2 equations equal and solve for r:

4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02

That is 0.02*100 = 2% daily

2nd answer choice is right.

8 0
3 years ago
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