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2 years ago

Write the next two terms in the pattern 9,27,81,243

Mathematics

2 answers:

Basile [38]2 years ago

8 0

Answer:

729, 2,187, 6,561‬

Hope this helps!

Leni [432]2 years ago

4 0

Answer:

729, 2187

Step-by-step explanation:

Note the common ratio between consecutive terms, that is

27 ÷ 9 = 81 ÷ 27 = 243 ÷ 81 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

243 × 3 = 729

729 × 3 = 2187

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Find the equation of the graphed line.

belka [17]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}$

<h3>Step-by-step explanation:</h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

$\large\boxed{\orange{\bf y = mx + c} }$

We know that slope is $\tan\theta$ . So here slope will be ,

$\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}$

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

$\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}$

<h3>Hence option [ d ] is correct . </h3>

4 0

2 years ago

Find the inverse of the equation

zimovet [89]

The inverse of $f(x)= \frac{6x+5}{3x-1}$ is $f(-1)= \frac{-x-5}{3(2-x)}$ I hope I helped

3 0

3 years ago

There are 127 lbs of fruits in the store: apples, oranges, and peaches. There are four times as many apples as there are peaches

Pepsi [2]

Let
x------> amount of pounds of apples
y------> amount of pounds of oranges
z-----> amount of pounds of peaches

we know that
x+y+z=127------> equation 1
x=4z-----> equation 2
y=7+z----> equation 3

substitute equation 2 and equation 3 in equation 1
x+y+z=127----> (4z)+(7+z)+z=127---> 6z=127-7---> 6z=120----> z=20 lb
x=4z---> x=4*20----> x=80 lb
y=7+z----> y=7+20---> y=27 lb

amount of pounds of apples----> 80 lb
amount of pounds of oranges----> 27 lb
amount of pounds of peaches---> 20 lb

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2 years ago

The minute hand of a clock is 7 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the

FromTheMoon [43]

The movement of the minute hand is circular.

Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec

The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>

D=3.663≈3.66 inches

Good luck!!!

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3 years ago

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

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3 years ago