Please help. Is algebra.

Olivia is rolling down a hill on a skateboard and is accelerating at 2.4 m/s2. After 3 seconds, she runs into Reid at the bottom

zysi [14]

Step-by-step explanation:

Hey there!!

According to the question,

Initial velocity (u) = 1.5m/s.

Acceleration (a) = 2.4 m/s^2.

Time (t) = 3 s.

Final velocity (v) = ?

We have,

$a = \frac{v - u}{t}$

Put all values.

2.4 = (v-1.5)/3

2.4×3 = v - 1.5

$7.2 = v - 1.5$

$7.2 + 1.5 = v$

Therefore, her final velocity is 8.7.

Hope it helps....

7 0

3 years ago

What is the standard deviation for the data set?

aleksandr82 [10.1K]

Answer:

The standard deviation is 22.6 to the nearest tenth

Step-by-step explanation:

* Lets study how to find the standard deviation (σ) for data set

- First step find the mean of the data

∵ The mean = the sum of the data ÷ the number of the data

# The sum of the data is

359 + 320 + 365 + 310 + 349 + 351 + 310 + 314 + 364 = 3042

# The number of the data is 9

∴ The mean = 3042 ÷ 9 = 338

- Second step find the difference between each data and the mean

and square the difference

# 359 - 338 = 21 ⇒ (21)² = 441

# 320 - 338 = -18 ⇒ (-18)² = 324

# 365 - 338 = 27 ⇒ (27)² = 729

# 310 - 338 = -28 ⇒ (-28)² = 784

# 349 - 338 = 11 ⇒ (11)² = 121

# 351 - 338 = 13 ⇒ (13)² = 169

# 310 - 338 = -28 ⇒ (-28)² = 784

# 314 - 338 = -24 ⇒ (-24)² = 576

# 364 - 338 = 26 ⇒ (26)² = 676

- Third step find the variance (σ²)

# Add all the square difference and divide the sum by the

number of data

∴ σ² = (441 + 324 + 729 + 784 + 121 + 169 + 784 + 576 + 676) ÷ 9

∴ σ² = 4604 ÷ 9 = 511.5555556

- Fourth step find the standard deviation σ it is the square root of

the variance

∴ σ = 22.6 to the nearest tenth

* The standard deviation is 22.6 to the nearest tenth

3 0

4 years ago

If you know the volume of a cube, how do you find its edge length?

Helga [31]

V = (edge)^3

If you know the volume, take the CUBE ROOT on both sides to find the edge.

8 0

3 years ago

What is the value of f^-1(0)? Please help! It’ll be greatly appreciated!

Leya [2.2K]

Answer:

$f^{-1}(0)=6$

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

$f^{-1}(0)$

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

$f^{-1}(0)=y$

This means that we have the point:

$(0,y)$

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

$(x,0)$

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

$f(6)=0$

So:

$f^{-1}(0)=6$

And we're done!

4 0

3 years ago

Which is a reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5

Lunna [17]

Parenthesis
i think,
or distributive property

3 0

4 years ago

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