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3 years ago

What is the average of all numbers between -10 and 14, inclusive

2 answers:

6 0

The answer to the question is 2 because when you add all the numbers and divide it by the amount of numbers (including 0) you get the answer of 2

Margaret [11]3 years ago

5 0

The average is 2, because the difference of 1 and -10 is 24, and divide that in half gives you 12. So you either subtract 12 from 14 or ad 12 to -10 and get an average of 2

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1. Which of the following does NOT represent a whole number? 9 6.0 12/4 -12/3

Ivahew [28]

the answer is -12/3 cause it's negative

5 0

3 years ago

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota

Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0

3 years ago

A bicycle was originally sold for $400 was on sale for $320. what percent was the bike marked down?

Eva8 [605]

100% of the price = $400
x % of the price = $320
we need to find x

using a proportion
100 : 400 = x : 320
100 * 320 = 400 * x
32000 = 400x
x = 32000 / 400
x = 80

That means the new price is 80% of the previous price.
100% - 80% = 20%
and based on this we can make a conclusion that the discount was 20%

I hope it is clear to you, feel free to ask anything about it :)

6 0

3 years ago

Read 2 more answers

Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. V

alexandr402 [8]

of the task , we know that :

profit netto = $ 6100
influenza students = 7
hourly rate for one lesson of the French language = $45

we do not know about

profit brutto = ? denoted as x

the amount collected lessons
for one student = ? denoted as y

x = $6100 + $200
 $y = \frac{x}{45*7}$

 $\left \{ {{x=6300} \atop {y= \frac{6300}{315} =2}} \right.$

2 away

 $y = \frac{6100 + 200}{45 * 7} = 2$

4 0

3 years ago

Please answer them. 25 points.

diamong [38]

Step-by-step explanation:

Initial value is the y-intercept:

b = 1200

Rate of change is the difference in the charge amount per year:

m = (1350 - 1200) / (8 - 5) = 150 / 3 = 50

The equation would be:

y = 50x + 1200

8 0

2 years ago

Read 2 more answers