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muminat
2 years ago
9

Which is a closer estimate of pi? Explain your answer.

Mathematics
1 answer:
nydimaria [60]2 years ago
6 0
The fraction 22/7 has a value of 3.142857, so it has the same first three digits as pi. Both 3.14 and 22/7 are approximations of pi. In fact, 22/7 is close to pi than 3.14 is. Pi is irrational. That is, the decimal expansion never ends and never repeats, so any number of decimal places we wrote out is an approximation. The approximation 3.14 is about 1/2 percent off from the true value, and the fairly well know 3.141559 is within 0.000084 percent.
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In scientific notation negative exponents represent very large numbers greater than 10. True or false
jeyben [28]

Answer:False

Step-by-step explanation: negative exponents increase the decimal. So 10^-1=0.1

7 0
3 years ago
Rational numbers are numbers that can be written as the ______ of _____. What are the blanks?​
BARSIC [14]

Answer:

rational numbers are numbers that can be written as the ratio of two integers

5 0
3 years ago
J is 7 times greater than 6
dybincka [34]
J = 42 is the answer to your question

8 0
3 years ago
Read 2 more answers
The table shows the mass of a substance decreasing over a period of time during a chemical experiment.
Vlad1618 [11]

So from a table, we want to find an equation that models the mass as a function of time, we will get the equation:

M(t) = 0.02*t^2 - 2.42*t + 99.57

And with that equation, we will find that the mass after 11 seconds is 75 grams.

From the table we have the points:

(2, 94.8)

(5, 87.9)

(8, 81.3)

And we know that this follows a quadratic model, then we have:

M(t) = a*t^2 + b*t + c

Notice that from the known points, we have 3 equations:

94.8 = a*2^2 + b*2 + c

87.9 = a*5^2 + b*5 + c

81.3 = a*8^2 + b*8 + c

So we have a system of equations, we can simplify the equations to get:

94.8 = a*4 + b*2 + c

87.9 = a*25 + b*5 + c

81.3 = a*64 + b*8 + c

To solve this, we start by isolating one of the variables in one of the equations, let's isolate c in the first one.

c = 94.8 - a*4 - b*2

now we replace this in the other two equations to get:

87.9 = a*25 + b*5 + (94.8 - a*4 - b*2)

81.3 = a*64 + b*8 + ( 94.8 - a*4 - b*2)

Now we simplify these two equations to get:

-6.9 = a*21 + b*3

-13.5 = a*60 + b*6

Now we do the same thing, I will isolate b in the first equation:

b = (-6.9 - a*21)/3 = -2.3 - a*7

Now we replace this in the other equation:

-13.5 = a*60 + (-2.3 - a*7)*6

Now we can just solve this for a:

-13.5 = a*(60 - 7*6) - 2.3*6

    0.3    = a*18

0.3/18 = a = 0.016

Wich can be rounded to:

a = 0.02

Then the value of b is:

b = -2.3 - a*7 = -2.3 - 0.016*7 = -2.42

And the value of c is:

c = 94.8 - a*4 - b*2 = 94.8 - 0.016*4 - (-2.42)*2 = 99.57

So the equation is:

M(t) = 0.02*t^2 - 2.42*t + 99.57

Now we can evaluate this in t = 11s to get:

M(11) = 0.02*11^2 - 2.42*11 + 99.57 = 75.37

Wich can be rounded to 75 grams.

If you want to learn more, you can read:

brainly.com/question/20067450

4 0
2 years ago
Define a variable and write an expression for the phrase. The quotient of 6 times a number and 16
weqwewe [10]

6*x=16  


(* this symbol means multiplication)

5 0
3 years ago
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