4x + 5y = 30
5x + 3y = 31

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

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

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:

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.

It is basically an animal which has a backbone that protects the spinal cord.

Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

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

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:

which question is it ??

Factor the expression

3−2−52+5+6=0

Answer:

B: y = 5x + 30

Step-by-step explanation:

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:

List Price = $ 110.00

Discount Amount = $ 33.00

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:

1/2

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

Answer:

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

Step-by-step explanation:

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.

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: See explanation

Step-by-step explanation:

At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:

= $96/12 = $8

At Canine Community Center, 25 lessons cost $125. The unit rate will be:

= $125/25 = $5

The better deal is at Canine Community as it's cheaper.

The unit rate for lessons at Sit and Stay School is $8 per lesson

The unit rate for lessons at Canine Community Center is $5 per lesson

The lower unit rate is $5 which is that of Canine Community.

The lessons at Canine Community are the better deal.

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.

Answer:

x = 10

Step-by-step explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)

(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

[tex]x_{1}[/tex] = 10

[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )

10 - [tex]\sqrt{2*10+5}[/tex] = 5

10 - 5 = 5

5 = 5

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

To find the number of integer solutions there are to the inequality, we need to  separate [tex]x[/tex] so it is on its own.

[tex]17<5x-8 < 22[/tex] (given inequality)

[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )

[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )

Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].

Hope this helps :)

Answer: is 1/2

Step-by-step explanation: