Ask question

Ask question

All categories

3 years ago

13

Helppppp distance time graphhhhhh

1 answer:

stepladder [879]3 years ago

3 0

Answer:

Ralph walked to Sherwood at a constant speed.

Step-by-step explanation:

Any horizontal lines on a distance time graph represent a moment where you are still, so that rules out graph 4 and graph 3. Because Ralph is at a constant speed, the gradient of the line won’t change, meaning the answer has to be Ralph walked to Sherwood at a constant speed.

You might be interested in

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’s The definition of linear in Math

matrenka [14]

Answer:

an equation of the first degree in any number of variables.

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Decide which story can be represented by the system of equations below.

MatroZZZ [7]

Answer:

Step-by-step explanation:

am i dum or is this super confusing

4 0

3 years ago

Read 2 more answers

WILL ANSWER FIRST RIGHT ANSWER AS BRAINIEST

Ket [755]

Answer:

8

Step-by-step explanation:

Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as

1070=180(n-2) where n is the number of sides required here.

Making n the subject of the formula then following step by step

$n-2=\frac {1070}{180}$

$n=\frac {1070}{180}+2\\n=7.9444444444444\approx 8$

Therefore, the shape is octagon and it has 8 sides.

8 0

3 years ago

What is 289% as a decimal

lakkis [162]

Answer:

the answer is 2.89

Step-by-step explanation:

u divide 289 to 100 or 289/100=2.89

hope this helps

4 0

3 years ago

Read 2 more answers