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Dominik [7]
3 years ago
14

In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio​

Mathematics
2 answers:
lesantik [10]3 years ago
8 0

Step-by-step explanation:

<h2><u><em>81/24</em></u></h2><h2><u><em>= 27/8</em></u></h2>

Oliga [24]3 years ago
4 0

Hello,

Let's say a the  first term and r the ratio  of the G.P.

u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\

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Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c
Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is Y=\dfrac12 X-6.

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\dfrac12

Let slope of LG be <em>n</em>, then

n\times \dfrac{1}{2}=-1 [Product of slopes of two perpendicular line =-1]

\Rightarrow n=-2

Equation of a line passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)

Equation of LG :

(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9 [In intercept form]

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3 years ago
What is the answer for 6.8 6.9 6.10
Dafna1 [17]
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3 years ago
A weir is used to measure water flow in a channel. For a rectangular broad crested weir, the flow Q in cubic feet per second is
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A study shows that employees who begin their workday at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a
jeka94

Answer:

0.2 or 20%

Step-by-step explanation:

If the times of arrival vary uniformly, there is an equal chance of an employee reporting at any given time between 8:40 and 9:30.

The range between 8:40 and 9:30 is 50 minutes.

The range between 9:00 and 9:10 is 10 minutes.

Therefore, the  probability that a randomly chosen employee reports to work between 9:00 and 9:10 is:

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3 years ago
Noah drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Noah dr
vredina [299]

This question is not correctly written

Correct question

Noah drank 4/5 liter of water Monday before going jogging. He drank 2/3 liter of water after his jog. How much water did Noah drink altogether? Write your answer as a mixed number.

Answer:

1\frac{7}{15}

Step-by-step explanation:

Noah drank 4/5 liter of water Monday before going jogging. He drank 2/3 liter of water after his jog.

To find the total liters of water he drank, we should add up the liter of water  he drank on Monday before going jogging and  liter of water after his jog.

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= 22/15

As a mixed Fraction, the answer

= 1\frac{7}{15}

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