Ask question

Ask question

All categories

4 years ago

5

The population of Hinchton in 1991 was 22,374. In 1987 the population was only 14,998. How much did the population increase betw

een 1987 and 1991?

1 answer:

nlexa [21]4 years ago

7 0

My final answer is 7,376 degrees, increase.

You might be interested in

Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8

Mice21 [21]

You can add 8, eight times

7 0

4 years ago

What is the solution to this equation?<br> 4(4x + 1) = 3x - 46 - x) + 8

garri49 [273]

Answer: Hello There!................

x=-3.5

Step-by-step explanation:

Mark me brainest please. Hope this helps. Anna ♥

8 0

3 years ago

Angle 1 and Angle 2 are supplementary angles. Find x and the measure of Angle 1.

tia_tia [17]

Answer:

The answer to x=18 and angle 1 is 102

Step-by-step explanation:

5 0

3 years ago

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

3 years ago

What do you know about a triangle with an adjacent leg to hypotenuse ratio value of 0.839?

Drupady [299]

Step-by-step explanation:

Use soh cah toa to solve

it is cos(α)=.839

so the angle of α is 32.9653

Hope that helps :)

4 0

3 years ago