(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answer:

0.4 pages per second

24 pages per minute

1 page can be printed every 2.5 seconds

Each answer is technically correct, use the one that's most appropiate

Step-by-step explanation:

32 pages in 80 seconds

32 / 80 = 0.4 pages per second

0.4 / 1

If they want it in minutes, multiply both sides by 60 seconds

0.4 * 60 / 1 * 60

24 pages per minute

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair

And since they for straight line, their Angle sum will be equal to 180°

that is :

[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]

[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]

Answer:

y = 38°

Step-by-step explanation:

We know that the angles in a straight line are added up to 180°.

So,

90 + y + 52 = 180

142 + y = 180

y  = 180 - 142

y =  38°

Answer: 891 ft³

Step-by-step explanation:

     We can break the garage into two different parts. The roof, triangular, and the rest, rectangular. I will start by solving for the rectangular part.

     V = L * W * H

     V = 12 ft * 9 ft * 7.5 ft

     V = 810 ft³

     Now, I will solve for the triangular part, the roof. First, 9 ft - 7.5 ft = 1.5 ft, so the height of just the roof is 1.5 ft.

     V = [tex]\frac{L * W * H}{2}[/tex]

     V = [tex]\frac{12 * 9* 1.5}{2}[/tex]

     V = [tex]\frac{162}{2}[/tex]

     V = 81 ft³

     Lastly, I will add the two different parts together.

810 ft³ + 81 ft³ = 891 ft³

Answer:

A derivative is a slope function. If you want to find the slope anywhere along the function, you can.

Explanation:

Given: What is the purpose of a derivative?

A derivative is a slope function: m=f'(x=value). If you want to find the slope anywhere along the function, you can.

If you want to find a tangent line at a specific point along the function you can, using the slope and the point: y−y1=m(x−x1)

Answer:

See below

Step-by-step explanation:

A derivative is a slope function, so it allows you to find the slope anywhere along a function where it's continuous.

For example, the derivative of velocity is acceleration, which is applicable in real life.

You can also find a tangent line at a specific point by finding the slope of the function at that point and then using point-slope form [tex]y-y_1=m(x-x_1)[/tex] to get your tangent line.

Answer:

t = 6

Step-by-step explanation:

28 - 3t = 10

-3t = 10 - 28

-3t = -18

t = -18/-3

t = 6

Note: (-)/(-) = +

Answer:

t=6

Step-by-step explanation:

—3t=—18

t=6

Answer:

B it originally cost 12000

Step-by-step explanation:

the depriciation factor is  0.75^t and the original value was 12000

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

[tex]V(t)=12000(0.75)^t[/tex]

[tex]V(0)=12000(0.75)^0=12000[/tex]

[tex]V(1)=12000(0.75)^1=9000[/tex]

[tex]V(2)=12000(0.75)^2=6750[/tex]

etc.

⇒ Initial cost = $12,000

⇒ The motorcycle's value is decreasing by 25% each year.

Answer:

I don't see the illustrations

Answer:

True

Step-by-step explanation:

To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true

nvm someone answered lol good luck!

Answer:

Total = $15,351.10

Monthly = $319.81

Answer:

  D:  y = 3x

Step-by-step explanation:

The relationship shown is a proportion. The only "unknown" is the constant of proportionality, the slope of the line. That is most easily found by looking for the value of y that corresponds to the value x=1.

__

This graph shows that 1 song costs $3, so the equation is ...

  y = 3x

Answer:

12

Step-by-step explanation:

→ Find the total age of the children

15 × 11 = 165

→ Add the mans age

165 + 27 = 192

→ Divide by 16

192 ÷ 16 = 12

Answer:

7 trees.

Step-by-step explanation:

Number < 7 ft consists of the first 2 stems:

5 || 8   - 1 tree

6|| 2,3,7,8,9,9  -  6 trees

= 1 + 6

= 7.

The number of trees that are less than 7 trees as shown in the stem-and0leaf plot is: 7 trees.

In a stem-and-leaf plot, data points are represented in leaves and stems. For example, representing height of trees as 5 || 8, means a data point representing a height of a tree measuring 5 ft and 8 inches tall.

From the stem-and-leaf plot given, the data points that are below 7 feet are 7 in number, which range from 6 ft and 9 inches down to 5 ft and 8 inches.

The answer is: 7 trees.

Learn more about stem-and-leaf plot on:

https://brainly.com/question/8649311

#SPJ6

Check the picture below.

Answer:

Step-by-step explanation:

Find the area of the sheet metal

Area = L * w

L = 12

w = 8

Area = 12 * 8

Area = 96 square inches.

Find the value of the sheet metal

1 square inch costs $2.00

96 square inches cost 2 * 96 = $192.00

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

good luck

Answer/Step-by-step explanation:

At least, meaning 2 1/2 or more

Now, I'm not exactly sure how they want it written so it could be two answers.

4/10

OR

4

Hope this helps :)

Answer:

231

Step-by-step explanation:

5 minutes + 15 seconds = 5.25 minutes
44 × 5.25 minutes = 231 copies

Answer:

C. never

Step-by-step explanation:

A trapezoid has exactly one pair of opposite sides parallel.

A parallelogram has exactly two pairs of opposite sides parallel.

A trapezoid is never a parallelogram.

Step-by-step explanation:

5a.

10 white squares

15 shaded squares

5b.

a1 = 1 = 2×1 - 1

a2 = a1 + 2×2 - 1 = 2×1 - 1 + 2×2 - 1 = 2×(1+2) - 2

a3 = a2 + 2×3 - 1 = 2×(1+2+3) - 3

...

an = 2×(1+2+...+n) - n = 2×n×(n+1)/2 - n = n²

so,

a350 = 350² = 122,500

figure350 has 122,500 squares.

5c.

a1 = 1

a2 = a1 = 1

a3 = a2 + 5

a4 = a3 = 6

a5 = a4 + 9

a6 = a5 = 15

a7 = a6 + 13

a8 = a7 = 28

...

a(2n) = a(2n - 1)

a(2n - 1) = a(2(n-1) - 1) + 1 + 4(n - 1) = n×1 + 4(0+1+2+...+n-1) =

= n + 4×(n-1)×n/2 = n + 2×(n² - n) = 2n² - n

therefore,

a350 = a349

a349 = a(2×175 - 1) = 2×175² - 175 = 61,075

figure350 has 61,075 shaded squares.

Answer:

A zoo

Step-by-step explanation:

A zoo can't be consisdered a "service industry" compared to the other ones.

So

A.) Zoo

is your answer

Answer:

$537.87

Step-by-step explanation:

First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.

$15 * 1.5 = $22.5 * (44-40) = $90 additional pay

$600 + $90 = $690 total pay

Now, we calculate all of our deductions.

Subtract social security to be

690 * (1-0.0625) = $646.875

Medicare Deduction

646.875 * 0.9855 = $637.50

Health Insurance

$637.50-83 = $554.50

401k Deduction

$554.50 * 0.97 = $537.87

Answer:

Step-by-step explanation:

1/3 + 1/3= 2/3

5/10-2/10=3/10

4/5-2/5=2/5

11+1=12

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.

The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!

Step-by-step explanation:

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

Answer:

30

Step-by-step explanation:

90 - 60 = 30

By the vertical angle theorem, angle K is equal to the angle of measure 28 degrees.

    --> so k is 28 degrees

Hope that helps!