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Ostrovityanka [42]
3 years ago
5

Jayne uses long division to convert a rational number ab to a decimal. Which of the following statements cannot be true?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

The decimal form of ab eventually repeats.

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Simplify:<br>1/1-x^(b-a)+1/1-x^(a-b)​
Pachacha [2.7K]

Answer:

<h3>1</h3>

Step-by-step explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)​

\frac{1}{1-x^{b-a}} + \frac{1}{1-x^{a-b}}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a})(1-x^{a-b})}\\=  \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+x^{b-a+a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+1)}\\= \frac{2-x^{a-b}-x^{b-a}}{2-x^{b-a}-x^{a-b}}\\= 1\\ \\

Hence the required answer is 1

8 0
3 years ago
Read 2 more answers
What is 49/9 to the 1/2 power
elena55 [62]
An exponent of 1/2 is equivalent to a square root.
√49/9

√(49/9)= √49/√9

Simplify:
√49=7
√9=3

Final answer: 7/3
5 0
3 years ago
Teresa is investigating if grade level has any effect on time spent studying. What is the response variable?
Helen [10]

Answer:

The time spent studying is the response variable.

Step-by-step explanation:

The response variable, also known as the dependent variable is the main question which the experiment wants to provide an answer for. Usually, the predictors determine or affect the response variable.  In the study where Teresa investigates the effect of grade level on time spent studying, the response variable is the time spent studying, while the predictor which is the grade level provides an explanation as to the time spent studying.

The changes or variations on time spent studying depends on the grade level. This means that the grade level provides an explanation of the length of time dedicated to studying.

3 0
3 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
Arlecino [84]

The coordinates of point C that forms the triangle is; (2, -1)

<h3>How to partition a line segment?</h3>

We are told that point D divides line segment AB in the ratio of 5:3.

The line segment division formula is;

(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)

For this question;

x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3

Thus, (x, y) gives us;

(5*10 + 3*2)/(5 + 3), (5*2 + 3*-6)/(5 + 3)

D(x, y) = (7, -1)

Now, we need to find the coordinates of C

We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line

And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).

Read more about Line segment partition at; brainly.com/question/17374569

#SPJ1

7 0
2 years ago
Find 3 different ratios that are equivalent to 7:3.
ratelena [41]

Answer:

14:6

21:9

28:12

Step-by-step explanation:

Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:

7 x 2 = 14

3 x 2 = 6

14:6

7 x 3 = 21

3 x 3 = 9

21:9

7 x 4 = 28

3 x 4  = 12

28:12

5 0
3 years ago
Read 2 more answers
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