Popcorn machine is 3/4 of its height. What's the lengh of the machine

Answers

Answer 1

Answer: I'm assuming the length is 3/4 its height and you want an equation so the equation would be Length=3/4height or also L=3/4H and if there was a value for H let us say the number 28 the equation would be L=3/4*28. Three quarters of 28 would be 21 therefore 21=3/4*28.

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A species of plant experiences exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?

Answers

Answer:

C. Within a few years the population increases dramatically

True. As we can see on the function $A = A_o e^(rt)$ if we increase the time by 10 units for example the final amount is increasing by a factor of $e^(10)=22026.47$ and that represent a dramatically increase.

Step-by-step explanation:

When we have a exponential growth model the general formula is given by:

$A = A_o e^(rt)$

Since says "growth" the rate of increase r>0, $A_o$ represent the initial amount and A the amount after the time t.

Assuming the possible options for the answer. We analyze one by one

A. Each individual plant grows much larger than usual

False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.

B. The population immediately decreases

False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.

C. Within a few years the population increases dramatically

D. The specie's reproductive potential declines

False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.

Perry observes the opposite , parallel walls of a room. In how many lines do the planes containing the walls intersect

Answers

zero i believe would be the answer.

The walls don't intersect because they are parallel.

There is a pile of rocks. When 4.6 tons are removed, theremaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

Is the following a relation a function? X Y
1 -2

1 -3

2 1

3 -2

Yes or no

Answers

no because 1 has more than one output

How do you work out 20% of £2.20

Answers

100%=1
20%=0.2%
0.2*2.20=0.44.

20% Is the same as 0.2

Therefore, 0.2 times £2.20 = £0.44

What is the discriminant and number of solutions to the problem- y=2x2+6x+12

Answers

Δ = b² - 4ac
Δ = (6)² - 4(2)(12)
Δ = 36 - 4(24)
Δ = 36 - 96
Δ = -60

y = 2x² + 6x + 12
0 = 2x² + 6x + 12
0 = 2(x²) + 2(3x) + 2(6)
0 = 2(x² + 3x + 6)
2 2
0 = x² + 3x + 6
x = -(3) ± √((3)² - 4(1)(6))
2(1)
x = -3 ± √(9 - 4(6))
2
x = -3 ± √(9 - 24)
2
x = -3 ± √(-15)
2
x = -3 ± i√(15)
2
x = -1.5 ± 0.5i√(15)
x = -1.5 + 0.5i√(15) or x = -1.5 - 0.5i√(15)

The discriminant is -60 and the number of solutions is 2.

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