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3 years ago

G(1)=2.7 g(n)=g(n-1)*6.1 find an explicit formula for g(n)

Mathematics

2 answers:

Ksju [112]3 years ago

4 0

By substitution,

$g(2)=6.1g(1)$

$g(3)=6.1g(2)=6.1^2g(1)$

$g(4)=6.1g(3)=6.1^3g(1)$

and so on, so that

[tex]g(n)=6.1^{n-1}g(1)=2.7\cdot6.1^{n-1}

Lelechka [254]3 years ago

3 0

Answer:

2.7(6.1)^(n-1)

Step-by-step explanation:

[(6.1)^(n-1)]*g(1)

=[(6.1)^(n-1)]*2.7

=2.7*(6.1)^(n-1)

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(2,8),(7,8) slope of the line

aliina [53]

Answer:

The slope of line is 0 given points (2,8)(7,8)

Step-by-step explanation:

We need to find slope of line given points (2,8),(7,8)

The formula used to find slope of line is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We are given:

$x_1=2, y_1=8, x_2=7 \ and \ y_2=8$

Finding slope using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-8}{7-2}\\Slope=\frac{0}{5}\\Slope=0$

So, the slope of line is 0

4 0

3 years ago

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

Semenov [28]

Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :

3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8

6 0

3 years ago

Read 2 more answers

Which fraction is not equivalent to 9/12

Inessa [10]

Answer:

the second one :)

Step-by-step explanation:

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3 years ago

Here is the histogram of a data distribution. What is the shape of this distribution?

Pavlova-9 [17]

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

7 0

2 years ago

Find sin (A-B) if sin A = 4/5 with A between 90 and 180 and if cos B = 3/5 with B between 0 and 90

quester [9]

Answer:

sin(A-B) = 24/25

Step-by-step explanation:

The trig identity for the differnce of angles tells you ...

sin(A -B) = sin(A)cos(B) -sin(B)cos(A)

We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.

And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

Then ...

sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25

The desired sine is 24/25.

3 0

3 years ago