Find the missing side length Plsss help

Write down in terms of n, an expression for the nth term

Nimfa-mama [501]

Answer:

$a_{n}$ = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

$a_{n}$ = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1

7 0

2 years ago

two bird populations were studied and formulas were developed for each populations growth. the populations p1 and p2 are given b

STatiana [176]

Answer:

$20 e^{k*10} = 60 e^{0.2*10}$

We can divide both sides by 20 and we got:

$e^{10k}= 3 e^{2}$

Now we can appply natural log on both sides and we got:

$10 k = ln(3e^2)$

Now we can divide both sides of the equation by 10 and we got:

$k = \frac{ln(3e^2)}{10}= 0.30986$

So then the aproximate value of k is 0.30986 and rounded would be 0.31

Step-by-step explanation:

We have the following two expression:

$p_1 = 20 e^{kt}$

$p_2 = 60 e^{0.2t}$

We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

$20 e^{k*10} = 60 e^{0.2*10}$

We can divide both sides by 20 and we got:

$e^{10k}= 3 e^{2}$

Now we can appply natural log on both sides and we got:

$10 k = ln(3e^2)$

Now we can divide both sides of the equation by 10 and we got:

$k = \frac{ln(3e^2)}{10}= 0.30986$

So then the aproximate value of k is 0.30986 and rounded would be 0.31

6 0

3 years ago

In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home

saw5 [17]

Below is the solution:

There are two equations to be solved here. The first one we assign variables to the home runs Peter hits, P, and Alice hits, A. P=2*(A-6) The second equation is the sum of both players home runs.P + A = 18Solving for P yieldsP=18-A We substitute the solution for P into the first equation and solve for A.(18-A) = 2*(A-6)18 - A = 2A - 123A = 30A = 10 Now that A is known, we can plug it into either equations for P to find how many home runs Peter hitsP=18 - (10) = 8orP=2((10)-4) = 8

7 0

2 years ago

Y-1=0 is what form: Standard Point-Slope Form Brainliest for first Answer

hammer [34]

This would be point-slope form.

Slope-intercept form is in the form: y = mx + b

Standard is in the form ax + by = c

Point-slope form is in the form y - y.1 =m(x - x.1)

The form this most closely resembles is point-slope.

8 0

2 years ago

. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)

charle [14.2K]

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

2 sqrt(2x-1)

5 0

2 years ago

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