Answer:
For #6, it is 81 degrees, and for #8, it is 100 degrees.
Step-by-step explanation:
For #6, it is on the opposite side, so 81 degrees
For #8, it is also on the opposite side, so 100 degrees
Whenever there are parallel lines going horizontally, the angles measure the same on opposite sides, and to find the measure of an angle next to another angle, subtract it from 180.
Answer:
v = ± 
Step-by-step explanation:
Given
E = 
( multiply both sides by 2 to clear the fraction )
2E = mv² ( divide both sides by m )
= v² ( take the square root of both sides )
v = ±
Answer: In 10 hours, 4000 bacteria will be present.
Step-by-step explanation:
Given that 2000 bacteria grew to 2400 in 2 hours,
growth/ increase rate = 2400 - 2000
= 400 bacteria increase in 2 hours
Per hour is therefore 400/2 = 200 bacteria increase per hour
If the bacteria increases by 200 per hour
If 200 = 1 hour
X = 10 hours
We cross multiply:
X = 200 x 10
X = 2000
Therefore, a culture with 2000 bacteria at the same growth rate will have increased by additional 2000 in 10 hours
So, after 10 hours, number of bacteria will be 2000 + 2000 = 4000 bacteria
Answer:
The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.
Step-by-step explanation:
United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.
Let the base price be $b and surcharge be $s.
For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.
For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.
Subtracting both the equation from each other we get 15s = 36.75
⇒ s = $2.45 and b = $14.50.
Thus the base price is $14.50.
I’m not sure about this one but you previous ques was solved
(X+40) (3x-20)
Just multiply them first
3x^2 - 20x + 120x - 800
3x^2 - 100x - 800
