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3 years ago

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Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are

that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.

1 answer:

levacccp [35]3 years ago

7 0

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

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Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

Akimi4 [234]

Answer:

$a_8=38$

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term $a_n$ is computed as a function of one or more previous terms. In the formula

$a_n=a_{n-1}+5$

n is the number of the term we want to calculate. If n=8, then the formula becomes

$a_8=a_{7}+5$

We can see $a_{n-1}$ is the previous term. It means we need $a_7$ to be able to compute $a_8$ . But we also need $a_6$ to compute $a_7$ and so on until some known data is reached. The question provides five terms, $a_5=23.$

$a_6=a_5+5=28$

$a_7=a_6+5=33$

$a_8=a_7+5=38$

$a_8=38$

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3 years ago

Averages Question please help!

klio [65]

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3 years ago

The art club makes 280 decorations in 3 and a half hours how many can they make per hour? Show work

hoa [83]

Divide the number of decorations made in 3 and a half hours by 3.5.
280/3.5= 80
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3 years ago

Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).

Advocard [28]

1. find equation

general solutions are:
$y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b$

for P(0,-11)

$-11 = 0a + 0b +c$ ⇒ $c = -11$

for p(1,-13)
$-13 = 1a + 1b -11 \\ a+b = -2$

and

$0 = 2a + b \\ b = -2a$

solve for a and b:
$a - 2a = -2 \\ a = 2 \\ b = -4$

the total equation is now:

$y = 2 x^{2} -4x -11$

To find the x-intercept set y=0 and solve for x

$0 = 2 x^{2} -4x-11$

4 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago