What would be a good estimation of the correlation coefficient for the data displayed in the scatterplot?

A vehicle accelerates from 25 km/hr to 1200 km/hr in 60 sec. What is the vehicle's acceleration?

coldgirl [10]

Answer:

$a=5.43\ m/s^2$

Step-by-step explanation:

Given that,

Initial speed of a vehicle, u = 25 km/hr = 6.95 m/s

Final speed of a vehicle, v = 1200 km/hr = 333.34 m/s

Time, t = 60 s

We need to find the acceleration of the vehicle. It is equal to the rate of change of velocity. It can be given by :

$a=\dfrac{v-u}{t}\\\\a=\dfrac{333.34 -6.95 }{60}\\\\a=5.43\ m/s^2$

So, the acceleration of the vehicle is $5.43\ m/s^2$ .

3 0

2 years ago

What is the length of BC in the right triangle below

Anna [14]

Answer:

<h2>15 units</h2>

The length of BC is 15 units.

Solution,

Hypotenuse(h)=?

perpendicular(p)=12

base(b)=9

Using Pythagoras theorem,

${h}^{2} = {p}^{2} + {b}^{2} \\ or \: {h}^{2} = {12}^{2} + {9}^{2} \\ or \: {h}^{2} = 12 \times 12 + 9 \times 9 \\ or \: {h}^{2} = 144 + 81 \\ or \: {h}^{2} = 225 \\ or \: h = \sqrt{225} \\ or \: h = \sqrt{ {15}^{2} } \\ h = 15$

hope this helps...

Good luck on your assignment....

6 0

3 years ago

Read 2 more answers

Assessment items Which expression shows the result of applying the distributive property to 9(2+5m) ?

Aleksandr-060686 [28]

The distributive property....ur basically multiplying the number outside of the parenthesis by everything in the parenthesis....to get rid of the parenthesis.

9(2 + 5m) = (9 * 2) + (9 * 5m) = 18 + 45m <==

6 0

3 years ago

TWO QUESTIONS PLS HELP ASAP

ASHA 777 [7]

Answer: 4. (-1,-1) 3. (3,-2)

4)

Set the equations equal to each other.

4x+3=-x-2

Subtract 3 from both sides

4x=-x-5

Add x to both sides

5x=-5

Divide both sides by 5

x=-1

Next, replace x with -1 in either equation to find y.

-(-1)-2=y

-1=y

3)

Do the same thing for this one and set them equal to each other

-2x+4=-1/3x-1

Add 1 to both sides

-2x+5=-1/3x

Add 2x to both sides

5=5/3x

Divide both sides by 5/3

x=3

Next, replace x with 3 in either equation

-2(3)+4=y

-2=y

4 0

2 years ago

What is the value of x?

Molodets [167]

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

Step 2: Find x

Substitute: 19² + x² = 21²
Isolate x term: x² = 21² - 19²
Evaluate: x² = 441 - 361
Subtract: x² = 80
Isolate x: x = √80
Simplify: x = 4√5

And we have our final answer!

8 0

3 years ago