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maria [59]
2 years ago
9

Please help need answers ASAP

Mathematics
1 answer:
Trava [24]2 years ago
4 0

Answer:

0.527

Step-by-step explanation:

From the question,

The sequence is Geometry Progression (G.P)

Tₙ = arⁿ⁻¹.......................... Equation 1

Where n = number of term, a = first term, r = common ratio

Given: n = 7, a = 6, r = 2/3

Substitute these values into equation 1

T₇ = 6(2/3)⁷⁻¹

T₇ = 6(2/3)⁶

T₇ = 6(64/729)

T₇ = 384/729

T₇ = 0.527

Hence, the 7th term of the sequence is 0.527

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Anyone wanna help?please
timama [110]

\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}

Given to points to us are :-

  • ( 3 , -6 )
  • ( -1 , -8 )

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}

Here ,

  • x1 = 3 .
  • x2 = -1.
  • y1 = (-6)
  • y2 = (-8).

<u>→ Substituting the respective values , </u>

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

<u>Hence the distance between two points is 4√5u.</u>

3 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
2 years ago
brine's kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as brine's pantry. if the pantry is 3
maks197457 [2]
So 81/9=9 so area of pantry is 9

3 times x=9
3x=9
divide both sides by 3
x=3

legnth/width=3
8 0
3 years ago
. Simplify: (-4a+ b–2c) –(3a+ 2b–c)
Naily [24]

Answer:

(-4a + b – 2c) – (3a + 2b –c)  

-4a+b-2c-3a-2b+c  

-7a-b-c

Step-by-step explanation:

4 0
3 years ago
Pls solve it and show your work :((
lisabon 2012 [21]

Answer:

See below

Step-by-step explanation:

To graph the line we need two points, one point is the y-intercept, the second point to be calculated.

Q7

<u>y = -3x + 6</u>

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<u>Let the domain be x = 5 for the second point, then:</u>

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Connect these points to get the graph

Q8

<u>y = 4/5x - 3</u>

  • The y-intercept is (0, -3)

<u>Let the domain be x = 5 for the second point, then:</u>

  • y = 4/5*5 - 3 = 4 - 3 = 1
  • The point is (5, 1)

Connect these two points to get the graph

5 0
2 years ago
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