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2 years ago

Round you answer to the nearest cent

Mathematics

1 answer:

Zolol [24]2 years ago

3 0

Answer:

$2.00

Step-by-step explanation:

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Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

raketka [301]

First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5

3 0

2 years ago

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A spinner has four sections lettered A, B, C, and D. The table shows the results of several spins. Find the experimental probabi

Degger [83]

Experimental probability is the outcome during a certain experiment. add up the total number of times it was spinned. You should get 40. To find the experimental probability of each section, simply divide the number by 40. This will give you the percentage for each one. For example, spinner A. 14/40=.35 Multiply this by one hundred to find the percentage (35%). Do this for all and let me know if you need help converting them to fractions. :)

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2 years ago

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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2 years ago

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What is the insverse of the function f(x) =2x+1?

goldenfox [79]

F(x) = 2x + 1

To find the inverse of a function you just need to switch the x by y or vice-versa:

-> y = 2x + 1
-> x = 2y + 1

After that you isolate the y again:

-> 2y = x - 1

-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2

Answer:
$f^{ - 1} (x) = (x - 1) \div 2$

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2 years ago

1. Does the system of linear equations shown below have a solution? Explain.

Ira Lisetskai [31]

Answer:

hb Step-by-step explanation:

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2 years ago