Ruth packs 2 muffins into a gift box. She has 3 flavors of muffins to choose from: lemon,
apple, and blueberry. How many combinations of two different muffins can she pack into
the box?

9514 1404 393

Answer:

Step-by-step explanation:

1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)

The vector shown can be referred to by the names ...

  u  or  AB

__

2. The right triangle has legs 4 and 5, so the length is ...

  length = √(4² +5²) = √41

  length ≈ 6.4

__

3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.

__

4. The tangent of the angle is the slope of the vector:

  tan(A) = 5/4

  A = arctan(5/4) ≈ 51°

__

5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.

__

6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.

_____

Additional comment

A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.

cube root is 4.2, the number u are looking for is 12.6

Answer:

pq = 10

Step-by-step explanation:

Answer:

$425

Step-by-step explanation:

Let the dryer cost x

and the dish washer cost y

x+y=784-----------1

y=x-66-------------2

put the value of y=x-66 in 1

x+x-66=784

2x= 784+66

2x=850

x=850/2

x=425

Hence the dryer cost $425

Answer:

36 days

Step-by-step explanation:

Total distance driven = 4 1/2 miles = 9/2 miles

Months of June and July ;

Miles driven per day = 1/8

Number of days Parker went driving :

Total miles driven / miles driven per day

9/2 miles ÷ 1/8 miles

9 /2 * 8 /1

(9 * 8) / (2 * 1)

72 / 2

= 36 days

Hence, Parker drove for 36 days

Answer:

191.25 square feet

Step-by-step explanation:

The question is basically asking for the area.

The area of a triangle is base times height divided by 2.

So...

15 * 25 1/2 = 382.5

382.5 divided by 2 = 191.25 square feet.

Hope this helps!

Answer:

b^12

Step-by-step explanation:

Multiply b^10 by b^2 by adding the exponents.

b^12

Answer:

C

Step-by-step explanation:

Just took the quiz

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  [tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

Answer:

After 15 days they'll both have $10

Explanation:

100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)

[tex]100-6x=160-10x\\[/tex]

+10x on both sides

[tex]100+4x=160[/tex]

-100 on both sides

[tex]4x=60[/tex]

/4 on both sides

[tex]x=15[/tex]

Let x represent the number of hours that he spent washing cars.

Let y represent the number of hours that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19    x ≤ 19 - 4    x ≤ 15

Also,  10x + 8 × 4 ≥ 170     10x + 32 ≥ 170

10x ≥ 170 - 32          10x ≥ 138

10x ≥ 138/10             x ≥ 13.8

The minimum number of hours is 14

Answer:

G n - 29 < 53

Step-by-step explanation:

Replace n with 81 so it becomes

81 - 29 < 53

If you solve, 81 - 29 would be 52

Then you have

52 < 53

This is true since 53 is greater than 52

Answer:

A and B

Step-by-step explanation:

3:4 multiplied by 2 is 6:8

3x2=6 4x2=8

3:4 multiplied by 3 is 9:12

3x3=9 4x3=12

Answer:

To eliminate a variable in the system, we will have to subtract both expressions from each other

Step-by-step explanation:

Given the equations

5x+8y=-1

5x -8y=-7

To eliminate a variable in the system, we will have to subtract both expressions from each other

5x - 5x +8y-(-8y) = 1-(-7)

0 + 16y = 8

16y = 8

You can see that the variable x has been eliminated by simply subtracting both equations

y = 8/16

y = 1/2

Answer:

line b

Step-by-step explanation:

plz mark brain :)

Answer:

Line C

Step-by-step explanation

Answer:

x= -35.153846

Step-by-step explanation:

360=200-5(x+37)

360=195(x+37)

360=195x+7215

360-7215=195x+7215-7215

-6855=195x

-6855/195=195x/195

-35.1538461538=x

-35.153846=x

I THINK ;]

Answer:

Force= Mass×Accelaraion

F=m×a

But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)

So now we have,

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Thus the mass of the object is 447.42 (i am not sure of units)

Answer:

Force= Mass×Accelaraion

F=m×a

The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²

we have 10mph = 4.47 meters per second square

2000N= m×4.47m/s²

= 2000/4.47m/s²=m

= 447.42

Answer:

7×8

Step-by-step explanation:

17×8=136

10×8=80

136-80=56

find the multiplication that = to 56 and that is 7×8.

Answer:A

Step-by-step explanation:

Answer:

here!

Step-by-step explanation:

so graphing lines are pretty hard but this one is fairly simple. here the slope formula format is y=mx+b

m being the slope

and b being the y-intercept

so as you can see your equation has no slope meaning your line is just going to be straight

and then if you take a look to find the only other thing your equation has in it is a 6 as the y-intercept meaning in order to graph this find where 6 is on the y-axis (the vertical line on the side) and draw a line going horizontal and put a dot or a point on (0,6) to mark that you have found the y-intercept and that this is the only known point on your line graph so far with the information given. i hope this makes sense, and have a great day!

Answer:

Lorna

Step-by-step explanation:

29/40 = 72.5%

72.5% > 70% => Lorna got a higher score.

Answer:

b

Step-by-step explanation:

Answer:

x= 15

y= 21

Step-by-step explanation:

81+6x-11+x+5= 180

7 x + 75= 180

7x= 105

x=15

4y-18+y+14+6×15-11=180

5 y + 75= 180

5y= 105

y= 21