Marty paid $45 for a jacket that had been marked down 25%. What is the original price of the jacket?

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

Answer:

The power of the polynomial determines the number of zeroes it has in this case power is 4 so 4 zeroes. Whereas in 5^3+4 it has 3 zeroes as its power is 3. U can find the zero by trial and error method.

Hope this helps.

Step-by-step explanation:

Answer:

-2   -1     0      1    2   3

8     7     6      5    4   3

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Given:

The equation of a circle is

[tex]x^2+y^2=169[/tex]

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

[tex]m_1=\dfrac{5-0}{12-0}[/tex]

[tex]m_1=\dfrac{5}{12}[/tex]

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times \dfrac{5}{12}=-1[/tex]

[tex]m=-\dfrac{12}{5}[/tex]

Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .

Answer:

12^2 = 144 and 13^2 = 169

So, the answer is 12 and 13

Step-by-step explanation:

Rewrite 3/4 to have the same denominator as 1/8.

3/4 = 6/8

Now you have 1/8 + 6/8 = 7/8

The answer is 7/8

Answer:

-3.5x - 31.5

Step-by-step explanation:

-3.5(x+9)

= -3.5x + -3.5(9)

= -3.5x - 31.5

Answer:

450

Step-by-step explanation:

One rotation would be 360 and a quarter of 360 is 90 so 360+90=450

Answer:

65

Step-by-step explanation:

Answer:

0.01, 1%, or 1/100

Step-by-step explanation:

These are all the same.

Answer:

Ship one is closer to the coast guard

Answer:

First one is 2. The second one is 5.

Step-by-step explanation:

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Answer:

m∡A = 50°

Step-by-step explanation:

since they are complementary they must equal 90°

4x+6 + 4x-4 = 90

8x + 2 = 90

8x = 88

x = 11

∡A = 4(11)+6 = 44+6 = 50

Answer:

Step-by-step explanation:

use the number then do ÷

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

Answer: 30 inches (2.5 feet)

Step-by-step explanation:

2 1/2 x 1/3 x 36

Answer:

24.16

Step-by-step explanation:

Answer:

Number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27

Step-by-step explanation:

Amount of water needed to fill the tank = 9 liters

Measure of water to fill a vessel = [tex]\frac{1}{3}[/tex] liters

Number of [tex]\frac{1}{3}[/tex] liters vessels required to fill the tank = [tex]\frac{9}{\frac{1}{3}}[/tex]

                                                                                  = 9 × [tex]\frac{3}{1}[/tex]

                                                                                  = 27

Therefore, number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27

20:50 or if you have to add it 70

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

Answer:

a. quadrant III

b. quadrant III

c. quadrant I

Step-by-step explanation:

correct on edge 2022

Answer:

Line a and Line b are parallel. The slopes are equal

Line b is perpendicular to line c. The slopes are different

Step-by-step explanation:

The standard form of an equation is y =- mx+C

m is the slope

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1

For Line a: 4x-3y = 2

Rewrite

-3y = -4x+2

y = 4/3 x - 2/3

Slope of line a is 4/3

Line b: y = 4/3x + 2

mx = 4/3x

m = 4/3

slope of line b is 4/3

Line c = 4y+3x = 4

4y = -3x + 4

y = -3/4 x + 1

Slope of line c is -4/3

Since line a and b have the same slope, they arer parallel

mb * mc = 4/3 * -3/4

mb*mc = -1

Since the product of slope of line b and c is -1, they are perpendiclar