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Daniel [21]
3 years ago
12

What is the quotient of

0" id="TexFormula1" title="2 \frac{2}{7} \div \frac{4}{7} " alt="2 \frac{2}{7} \div \frac{4}{7} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
balandron [24]3 years ago
4 0

2 \frac{2}{7} ÷ \frac{4}{7}

First, let's turn the first fraction into an improper fraction.

\frac{16}{7} ÷ \frac{4}{7}

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

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The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
quester [9]

Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=\dfrac{2}{3}   (2)

Put n=5 and a= 54 in (1), we get

a_5=(54)r^{4}=     (3)

From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

3 0
4 years ago
I need help with Math ASAP plz !!
dimaraw [331]

Answer:

Step-by-step explanation:

2 right triangles and three rectangles

7 0
3 years ago
The polynomial function with rational coefficients has roots of: –2, √3, and - √3.
trapecia [35]

Answer:

   = (x+2)  (x-  √3) ( x+√3)

Step-by-step explanation:

The polynomial has roots of -2 √3, and - √3.

The polynomial can be written as

f(x) = (x-a) (x-b) (x-c)  where a b and c are the roots

f(x) = (x--2) (x-  √3) ( x--√3)

     = (x+2)  (x-  √3) ( x+√3)

8 0
4 years ago
What is the General form of the parabola of (y-3)^2=6(x+8)
MatroZZZ [7]

Answer:

x = 1.5t^{2}  , y = 3 + 2at.

Step-by-step explanation:

For the parabola Y^{2} = 4aX ,

General form will be

(X = at^{2} , Y = 2at) ,

Thus , for the parabola (y-3)^{2} = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5t^{2} , y - 3 = 2at

x = 1.5t^{2}  , y = 3 + 2at.

4 0
4 years ago
What can you tell about two integers when their quotient is positive? negative? or zero?
Archy [21]
If the quotient is positive, we know that the two integers are either both positive or both negative.

If the quotient is negative, we know that one integer is positive and the other is negative.

If the quotient is zero, then we are dividing 0 by some non-zero integer.
3 0
3 years ago
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