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2 years ago

6

When Kaitlin divided a fraction by 1/2

2 answers:

elena-14-01-66 [18.8K]2 years ago

7 0

If you divide a fraction in half,for example,you divide 2/4 by 1/2 you get 1/4.

KIM [24]2 years ago

5 0

Well if you divide 2/3 by 1/2 you get 1/3
____________________
||||||||||||||||||||||||||___|___| |||||||||||||||||||||||||||=4/6
|||||||||||||=1/2 0f 2/3

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How can i determine if the linear relationship between the variables x and y is proportional?

babymother [125]

If it goes through the origin of a graph

5 0

2 years ago

You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second

musickatia [10]

Replacement = 11 total

probability of choosing a consonant = 7/11
without replacing the card
probability of choosing an e = 3/10

probability of choosing both = 7/11 * 3/10 = 21/110 <===

8 0

2 years ago

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?

astra-53 [7]

x³ - 3x² + 4x - 2

complex roots occur in conjugate pairs

1 + i is a root then so is 1 - i

the factors of the polynomial are therefore

f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))

= (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )

= x³ - 3x² + 4x - 2

4 0

2 years ago

Read 2 more answers

(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the

rewona [7]

Answer:

Hello! So your answer would be 90 degrees!

Step-by-step explanation:

So the equation would be

x + 50 + 40 = 180.

50 + 40 = 90

180 - 90 = 90!

So basically y and x are both 90

3 0

2 years ago

Given T5 = 96 and T8 = 768 of a geometric progression. Find the first term,a and the common ratio,r.

Alona [7]

Answer:

Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.

Step-by-step explanation:

Recall that the direct formula of a geometric sequence is given by:

$\displaystyle T_ n = ar^{n-1}$

Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.

We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:

$\displaystyle T_5 = a r^{(5) - 1} \text{ and } T_8 = ar^{(8)-1}$

Substitute and simplify:

$\displaystyle 96 = ar^4 \text{ and } 768 = ar^7$

We can rewrite the second equation as:

$\displaystyle 768 = (ar^4) \cdot r^3$

Substitute:

$\displaystyle 768 = (96) r^3$

Hence:

$\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2$

So, the common ratio <em>r</em> is two.

Using the first equation, we can solve for the initial term:

$\displaystyle \begin{aligned} 96 &= ar^4 \\ ar^4 &= 96 \\ a(2)^4 &= 96 \\ 16a &= 96 \\ a &= 6 \end{aligned}$

In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.

7 0

2 years ago