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3 years ago

Vector v has magnitude5 units, w has magnitude 3, and the acute angle between them is 45°.

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

25 units

Step-by-step explanation:

No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:

$|-5*V|$

Due to properties of absolute value:

$|-5*V|=5*|V|=5*(5units) = 25 units$

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Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credite

Zielflug [23.3K]

Given:

Beginning Balance: 2,447.67
Less: Withdrawal 231.49
Total 2,216.18
Add: Credit to acct 36.61
Ending Balance 2,252.79

The new balance is $2,252.79

5 0

3 years ago

Read 2 more answers

to make 1 batch of lavender paint the ratio of cups of pink paint to cups of blue paint is 6 to 5. find two more raios of cups o

marshall27 [118]

Your ratio is 6:5

This means that it is 6/5.

You have to find a common number to either divide or multiply that can work for both the numerator and denominator.

6/5 doesn't have any common number to divide without getting a remainder

But we can multiply by a common number such as 2

6×2 = 12
5×2 = 10

= 12/10. ☆= the ratio is 12 : 10

or even by 3, =the ratio 18:15

8 0

3 years ago

Read 2 more answers

Convert the equation − x − 2 y = 8 from standard to slope-intercept form

Molodets [167]

Answer:

y = -1/2x - 4

Step-by-step explanation:

We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.

-x - 2y = 8

-2y = x + 8

Now that we have y on one side, we can divide everything by -2.

-2y/-2 = x/-2 + 8/-2

y = -1/2x - 4

That looks like y = mx + b form.

If you have any further questions or need clarification on anything, let me know!

4 0

2 years ago

Determine if there is a proportional relationship between the two quantities

Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Table a

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

$k=\frac{B}{A}$

For A=35, B=92 ---> $k=\frac{92}{35}=2.63$

For A=23, B=80 ---> $k=\frac{80}{23}=3.48$

the values of k are different

therefore

There is no proportional relationship between the two quantities

Table b

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

$k=\frac{D}{C}$

For C=20, D=8 ---> $k=\frac{8}{20}=0.40$

For C=12.5, D=5 ---> $k=\frac{5}{12.5}=0.40$

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

$D=0.40C$

7 0

3 years ago

The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the

melomori [17]

In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
   = 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
   = 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
   = 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
      = (91 - 60)/8 miles
   = 31/8 miles
   = 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.

7 0

3 years ago