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2 years ago

7

How do I show my work for 25 x 3/5=15

1 answer:

stepladder [879]2 years ago

5 0

Cut 25 with 5
5x3 = 15
15 = 15

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago

If a kid is 4 years old how old is the younger brother?

Alborosie

4 years old is the answer i think

6 0

3 years ago

What equation represents the model shown below?

g100num [7]

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

$LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)$

$LHS=-4x+(-3)$

$LHS=-4x-3$

On the right side of the model we have 8 tiles of (-1). So,

$RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)$

$RHS=-8$

Now, equate the LHS and RHS to get the equation.

$-4x-3=-8$

Therefore, the equation for the given model is $-4x-3=-8$ .

7 0

2 years ago

Hal earns n dollars per hour. Next month he

xenn [34]

Answer:

$Total = 1.02n$

Step-by-step explanation:

Given

$Earnings = n$

$Raise = 2\%$ --- <em>not 296</em>

$Total = n + 0.02n$

Required

Simplify the expression for total earning

The total amount is derived from:

$Total = Earnings + Raise * Earnings$

$Total = n + 2\% * n$

Express percentage as decimal

$Total = n + 0.02 * n$

Now, we can solve further:

$Total = n + 0.02n$

$Total = 1.02n$

<em>Hence, the simplified expression is 1.02n</em>

8 0

3 years ago

Read 2 more answers

Lindsey's goal is to sell at least 35 candles at each of 15 craft fairs. She makes 24 candles each day for 20 days. Use the drop

valina [46]

Answer:

D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Step-by-step explanation:

The explanation of the sufficient candles that are required to check whether she reach her goal or not is as follows:

She makes 480 candles that come from

= 24 candles each days × 20 days

= 480 candles

Now if we divide the 480 candles from 15 so we get 32

This is less than the minimum candles required i.e. 35

So, the option D is correct

7 0

2 years ago