A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

Answer:

Please refer to the explanation

Step-by-step explanation:

Provided parameters:

Initial population = 4000

Monthly increase = 170

Monthly decline in population = 70

Monthly growth rate in population (dt):

Starting population = 4000

Births per month = 170

However, there is a loss of 70 individuals monthly

Thus,

Births - Deaths (d) = 70

170 - d = - 70 (is there a decline?

170 + 70 = d

d equals the number of deaths

Per capita death rate:

Total deaths monthly / Initial population

= 240 / 4000

= 0.06

Answer:

The total of all exterior angles in BEGC equals 360° ⇒ only answer F is correct

Step-by-step explanation:

* Let’s review some basics regarding quadrilaterals

- A quadrilateral is a polygon that has four sides

- The interior angles of any quadrilateral add up to 360°

- The exterior angles of any quadrilateral also total 360°

* Now let’s tackle the problem

- DEGC is indeed a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The total of the interior angles measures 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ combine like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ subtract 3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The exterior angles of any quadrilateral will always sum to 360°

∴ Only the statement in answer F holds true