Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Answer: is 1/2

Step-by-step explanation:

Answer:

None are parallel.

Step-by-step explanation:

Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.

Hope this helped!

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

Answer:

d = 4

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

–24 + 12d = 2(d – 3) + 22

–24 + 12d = 2d - 6 + 22

–24 + 12d = 2d + 16

–24 + 12d - 2d = 16

12d - 2d = 16 + 24

10d = 16 + 24

10d = 40

d = 4

Answer:

which question is it ??

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

Answer:

Point X is the loacation [tex]\pi[/tex], and is an irrational number

Step-by-step explanation:

[tex]\pi[/tex] ≈ 3.14

it is also a irrational number

Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

Answer:

84

Step-by-step explanation:

1200*3.5*2/100

=84

Answer:

$84

Step-by-step explanation:

You can also do 1,200x 0.035 x2 which equals $84.

Answer:

Step-by-step explanation:

(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =

-x^5+7x^3+11x^2+10x-4

it's the third option. 13x - 12y + 6xy

Answer:

C.

Step-by-step explanation:

5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy

Answer:

2nd answer choice.

Step-by-step explanation:

The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.

Step-by-step explanation: To solve for x in this inequality,

your goal is the same as it would be if you were solving an

equation, to get x by itself on one side.

Since 5 is being subtracted from x, add 5 to both sides of the inequality.

On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.

So we have x ≥ 3.

When graphing, start with a closed dot at +3 because x is

not just greater than +3, it's equal to it as well.

Then draw an arrow to the right, like I have done below.

Hectogon

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.

Step-by-step explanation:

Answer:

List Price = $ 110.00

Discount Amount = $ 33.00

Answer:

B: y = 5x + 30

Step-by-step explanation:

Answer:

No, it is not function. The answer is the last option in the multiple choice sequence.

Step-by-step explanation:

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Factor the expression

3−2−52+5+6=0

Answer:

y= 5x-20

Step-by-step explanation:

I didn't understand if I had to find the perpendicular line or parallel haha.

You’re welcome :)

Answer:

y = 5x -20

Step-by-step explanation:

for the line to be perpendicular it must have the inverse slope

therefore m = 5

no substitute the point (2, -10) in for (x, y) respectively to find the y intercept

-10 = 5(2) + b

-10 = 10 + b

b = -20

the equation will be y = 5x -20

Answer:

The slope for the substance = 7.2 g/mL

Step-by-step explanation:

Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL

The density = Mass/Volume = 7.2 g/mL

The slope of mass volume relationship = (The change in mass)/(The equal change in volume)

Whereby the change is from the zero state, we have;

The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume

Therefore;

The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL

The value of the slope for the substance = 7.2 g/mL.

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Answer:

n>6

Step-by-step explanation

add two to both sides so far its n/2>3

multiply both sides by 2

n>6

Answer:

7.5 miles

Step-by-step explanation:

5 miles in 80 km

Total distance = 120 km

120- 80= 40 km

80 km = 5miles

1 km = 5miles/ 80km

120 km = 5/80 * 120 km = 7.5 miles

This is called unitary method. First we find 1 km by dividing the miles with the number of km and then multiply the number of km to find the total number of miles.

Total distance = 120 km

120- 80= 40 km

if there are 5 miles in 80 km then there will be half of the miles in half of the km . So there will be 2.5 miles in 40 km .

So the total number of miles would be

40+80 km= 5+ 2.5 miles

120 km = 7.5 miles