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3 years ago

Is an 0.525 terminating decimal

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

A terminating decimal ends. A repeating decimal goes on and on and on.....

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What is the equation, in standard form, of a parabola that models the values in the table? x~ -1 0 2

Inessa05 [86]

<h2>Steps</h2>

Standard Form Equation: f(x) = ax² + bx + c

So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

$5=a*0^2+b*0+c\\5=c$

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

$12=a*(-1)^2+b*(-1)+5\\12=a-b+5\\7=a-b$

Next, plug (2,15) into the standard form equation and simplify:

$15=a*2^2+b*2+5\\15=4a+2b+5\\10=4a+2b\\5=2a+b$

Now, with our last two simplified equations we will create a system of equations:

$7=a-b\\5=2a+b$

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

$12=3a$

From here, we can solve for the a variable. With it, just divide both sides by 3:

$4=a$

Now that we know the value of a, plug it into either equation to solve for the b variable:

$7=4-b\\3=-b\\-3=b\\\\5=2(4)+b\\5=8+b\\-3=b$

<h2>Answer</h2>

Putting all of our obtained values together, your final answer is:

$f(x)=4x^2-3x+5$

8 0

3 years ago

The house sparrows population has decreased by 41% since 1977. The population is now approximately 6.5 million pairs of birds. W

BlackZzzverrR [31]

Let x be estimated population in 1977

x - 0.41x = 6,500,000
x = (6,500,000 / 0.59

Answer is approximately 11,017,000

11 million

5 0

3 years ago

Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for a

Lilit [14]

Answer:

51 students will be accepted if 850 applicants apply for admission.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the amount of students that will be accepted if 850 applicants apply for admission given that you know that Harvard University accepts 6 students for every 100 applicants:

100 → 6

850 → x

x=(850*6)/100= 51

According to this, the answer is that 51 students will be accepted if 850 applicants apply for admission.

7 0

3 years ago

Is the following number, rational, irrational, or nonreal?

Archy [21]

Answer:

Rational

√36

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