14k -14m - 23k + 59m

Answer:

a^4b^2

Step-by-step explanation:

s represents one side, or a^2b

so if s^2=A and s=a^2b then A=(a^2b)^2 or a^4b^2

Answer: [tex]5x^2y^5[/tex]

Step-by-step explanation:

Given: Area of rectangle = [tex]35x^4y^{10}[/tex] square feet

Length of rectangle= [tex]7x^2y^5[/tex]

We know that,

Width of rectangle = [tex]\dfrac{\text{Area of rectangle}}{\text{Length}}[/tex]

Then,

Expression of width= [tex]\dfrac{35x^4y^{10}}{7x^2y^5}[/tex]

[tex]=\dfrac{5x^{4-2}y^{10-5}}{1}\ \ \ \ [\frac{x^m}{x^n}=x^{m=n}]\\\\=5x^2y^5[/tex]

Hence, the expression for width of the rectangle = [tex]5x^2y^5[/tex]

Answer:

y= -1/3x + 1

Step-by-step explanation:

The slope is going down 1  and 3 to the right so its -1/3 and the y intercept is 1 so b=1

Hope it helps !

Answer:

3 sides

Step-by-step explanation:

sum of exterior angles for all polygons is 360°

sum of interior angles for a polygon can be found by using the formula:

(n - 2) · 180°  where 'n' is the number of sides

'sum of outer angles' = 360

'twice the sum of inner angles' = 2n

360 = 2n

n = 180

a three-sided polygon (triangle) has 180 degrees

Answer:

d≈12.49mm

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

C = 2pir

39.25 = 2pir

(divide both sides by 2pi)

12.49366 = r

Answer:

ask someone other

Step-by-step explanation:

Answer:

x = 6.0

Step-by-step explanation:

As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.

In the given triangle

Hypotenuse = 10

Perpendicular = x

Angle = 37°

As we know the value for perpendicular and hypotenuse, sine will be used.

[tex]sin\ 37 = \frac{Perpendicular}{Hypotenuse}\\sin\ 37 = \frac{x}{10}\\0.6018 = \frac{x}{10}\\x = 0.6018*10\\x = 6.018[/tex]

Rounding off to nearest tenth

x = 6.0

Hence,

x = 6.0

Answer: 1/7

Step-by-step explanation:

slope = y2-y1/x2-x1

(10 - 9) / (8-1) = 1/7

Answer:

A) -3/4

B) 15 more minutes

C) 80 minutes

Step-by-step explanation:

A. rate of change = -3/4

B. 16 minutes

C. 1 hour 20 minutes

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Given:

A) At first the tank contain 15 gallons of water.

After 4 minutes the tank contain 12 gallons of water.

So, rate of change

=12-15/4-0

=-3/4

=-3/4

B) now, Let x be the number of minutes will it take for the tank to drain completely.

So,

(3/4 gallons per minute) *x = 12 gallons

x = 12*4/3

x = 16 minutes

C) As, the tank has capacity of 75 gallons.

So, the tank of water is full when there is 10 gallons of water which is 60 gallons more.

Let 'y' be the number of minutes before Bob arrived when the water tank was completely full.

(3/4) (y) = 60

y = 60*4/3

y=  80 minutes

y= 1 hour 20 minutes

Learn more about slope here:

https://brainly.com/question/14548961

#SPJ2

Answer:

A, B, and D

Step-by-step explanation:

No time to explain

Answer:

Step-by-step explanation:

a b c d

Answer:

1+1 = 1111111111111111111111

Answer: 14/45

Step-by-step explanation:

Answer:

sin30: 1/2   cos30: (sqrt3)/2    tan60: (sqrt3)

Step-by-step explanation:

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

Answer:

Ok, let's suppose that the unknown amount is the number of books you buy in a library. (let's represent this unknown quantity with the variable X)

We know that each book costs $9.75, and we know that in total cost for the X books is $68.25

Then, how many books do you get?

We know that if one book costs  $9.75, then X books will cost X times $9.75

Then the total cost is:

C(X) = X* $9.75

And we know that the total cost was $68.25

Then to solve this, we need to solve the equation:

X* $9.75 = $68.25

X = $68.25/$9.75 = 7

The equation that can be used to represent the information is the cost of a book is $3, find the number of books when a customer pays $21.

To represent the scenario, the cost of a book is $3, find the number of books when a customer pays $21.

Therefore, the number of books will be:

3x = 21

x = 21/3

x = 7

In conclusion, the correct option is $7.

Learn more about equations on:

https://brainly.com/question/13763238

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

1.) [tex]\sqrt{13.341}[/tex]  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) [tex]a^2 = b^2 + c^2 - 2bccosA[/tex] --> law of cosines formula.

   [tex]a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)[/tex] --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   [tex]a^2 = 18 - 18cos75[/tex] --> in between steps.

   [tex]a^2 = 13.341[/tex] --> more simplifying.

   [tex]a(hypotenuse) = \sqrt{13.341} or 3.652[/tex] --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

Answer:

(1, 0.5)

Step-by-step explanation:

From the graph attached,

x-values are representing the number of games downloaded,

y - values are representing the total cost.

Unit rate means rate of 1 game downloaded.

If we represent this in terms of coordinates,

x- value (game downloaded) = 1

y - value (price of one game download) = $0.5

Therefore, point (1, 0.5) will represent the unit rate.

Option (2) on the top row will be the answer.

Answer:

I believe for the second one it's B, then for the third one it's D

Step-by-step explanation:

Oh also be careful w ur lunch # showing

Answer:

a.y=6

b.-1/8

c.1/2

d.2800

e.-8

f.7.71

Step-by-step explanation:

Answer:

[tex]f(x) = 2x - 4 \\ f(x + 3) = 2(x + 3) - 4 \\ = 2x + 6 - 4 \\ = 2x + 2 \\ = 2(x + 1)[/tex]

Answer:

Rotational Symmetry

Step-by-step explanation:

Parallelograms have no lines of symmetry. But they do have rotational symmetry at 180°.

Answer:

25: 4

Step-by-step explanation:

4 times x equals 4x and 4 times 9 equals 36 so that means that the equation is 4x-36=4x+36 which -36 + 36 is nothing to it would be left off with 4x=4x so it would be infinite

Answer:

Shredder A shreds about 3.67 pounds of paper per minute.

Step-by-step explanation:

1100 pounds/(5 * 60 minutes)

1100 pounds/300 minutes

3.6666...7 pounds/minute

3.67 lb/min

Answer:

30

Step-by-step explanation:

15s-100=350

15s=350+100

15s=450

s=450/15

s=30

Answer:

fourth option

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{6}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{6}[/tex]

---------------------------------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

y = 2[tex]\sqrt{2}[/tex]