All categories

3 years ago

PLEASE HELP!

Mathematics

2 answers:

vaieri [72.5K]3 years ago

7 0

The graph is not given , but with the help of information provided by you in the question:

X : 0 1 2 3 4 5 →→ Time in Seconds

Y : 0 25 50 75 100 125 →→Height of Elevator Above Ground in feet

Rate of change can be found by using two point slope form of line.

The slope of line joining two points $(x_{1},y_{1}) and (x_{2},y_{2})$ is given by = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:

Rate of change = $\frac{50-25}{2-1}=25$

Option (B) 25 is correct answer.

Westkost [7]3 years ago

5 0

Hello!

We know that the rate of change is just like speed as in the last Q so....

usually the rate of change is y/x so in this case, The Correct Answer is 100%

Option B "25".

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

You might be interested in

Draw a line through the point (2, 0) with a slope of 1/4

Nastasia [14]

Answer:

y = 1/4 x - 1/2

Step-by-step explanation:

Remark

The general equation for a line is y = mx + b

You know that m = 1/4. The problem is what do you do about (2,0)?

Solution

y = 1/4 x + b Let x = 2 when y = 0

0 = 1/4 * 2 + b multiply 2 * 1/4

0 = 1/2 + b Subtract 1/2 from both sides

b = - 1/2

equation y = 1/4 x - 1/2

Graph

7 0

3 years ago

PLEASE HELP!!!<br> HSJSHGXDBSJHCBDSHDCB PLEASEE

KatRina [158]

Answer:

the answer is 30

............................

7 0

3 years ago

Read 2 more answers

In which pair of numbers is the first number a multiple of the second number?

Sedaia [141]

Answer:

27,9

Step-by-step explanation:

9x3=27

5 0

3 years ago

in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)

Nimfa-mama [501]

Answer:

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

Step-by-step explanation:

Let $\vec u$ and $\vec a$ , from Linear Algebra we get that component of $\vec u$ parallel to $\vec a$ by using this formula:

$\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a$ (Eq. 1)

Where $\|\vec a\|$ is the norm of $\vec a$ , which is equal to $\|\vec a\| = \sqrt{\vec a\bullet \vec a}$ . (Eq. 2)

If we know that $\vec u =(2,1,1,2)$ and $\vec a=(4,-4,2,-2)$ , then we get that vector component of $\vec u$ parallel to $\vec a$ is:

$\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

Lastly, we find the vector component of $\vec u$ orthogonal to $\vec a$ by applying this vector sum identity:

$\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}$ (Eq. 3)

If we get that $\vec u =(2,1,1,2)$ and $\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$ , the vector component of $\vec u$ is:

$\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

$\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

4 0

3 years ago

Please Help! i need explanations too. Thank you

Lady bird [3.3K]

Answer:

Step-by-step explanation:

The most important thing to remember when solving equations is whatever you do to one side, you must do to the other.

1. (15m + 3)/2 = -6

First, we can simplify by removing the fraction:

15m + 3 = -6 x 2 (multiply both sides by 2)

15m + 3 = -12

15m = -12 - 3 (subtract by 3 on both sides)

15m = -15

m = -15/15 (divide by 15 on both sides)

m = -1

2. 3/2x -15 = -12

first, we'll add both sides by 15

2/3x = -12 + 15

2/3x = 3

x = 3/(2/3) both sides divided by 2/3, just put that in your calculator, if you can't do it in your head

x = 4 1/2

3. -7x + 3 = -15/2

We can remove the fraction by doing the same thing as in the first question.

2(-7x + 3) = -15

-14x + 6 = -15

14x = -15 -6

14x = -21

x = -21/14

x = -1 1/2

4. 4x + 1/2(12x + 2) = 3

First we need to simplify by expanding:

4x + 6x + 1 = 3

Now we collect the like terms to further simplify the equation

10x + 1 = 3

10x = 3 - 1

10x = 2

x = 2/10

x = 1/5

5. 3/2(x + 8) = 6x

We're going to start by removing the brackets, this time by multiplying the fraction on both sides:

x + 8 = 6x / (3/2)

x + 8 = 4

x = 4 - 8

x = -4

Now the questions, some of them are personal, so I won't be able to answer them for you, but I can try with the others:

These types of problems are fractional equations, and you need to find the value of the variable, which in this case was x.

I'm not sure what information you already know, so you'll have to think on that one.

Strategies you could use or try include multiplying, dividing, subtracting and adding on both sides as well as collecting like terms and expanding.

Hope this helped,

Cate

5 0

3 years ago