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tankabanditka [31]
3 years ago
9

PLEASE HELP!!!! Algebra 1 Which function contains the points shown on the graph?

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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The average height of a family of five is 150 cm. If the height of 4 family members is 153, 150, 151, and 152, find the height o
Lady bird [3.3K]
J can find the height of the fifth member on this way
S=150
S1=153
S2=150
S3=151
S4=152
S5=?
S= (s1+s2+s3+s4+s5)/5:
5*150= <span>153+150+151+152+S5
S5=5*150-606=750-606=144
Answer is 144 cm</span>
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3 years ago
Question 7 Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. At this rate, how far will she get on 2 gallons of
SIZIF [17.4K]

Answer: 0.0476 miles

Step-by-step explanation:

Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. We will determine the unit rate in gallons. It means the number of miles that her motorcycle on one gallon of gas

Distance travelled on one gallon of gas would be 6/252 = 0.0238 miles

At this rate of 0.0238 miles per one gallon of gas, the distance travelled on 2 gallons of gas would be

2 × 0.0238 = 0.0476 miles

6 0
3 years ago
A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles?
Marianna [84]
1:16 or 5:80, if you're simplifying then all you do is divide denominator by numerator. then that's your simplified ratio
3 0
3 years ago
The electric bill in may was $215.00 In June the bill was $274.00 What is the percent of increase rounded to the nearest tenth ?
Murljashka [212]
You can complete this by solving:
215 + 215(x) = 274
Which should give you .274418 or 27.44%
4 0
3 years ago
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species
kotegsom [21]

Answer:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

Step-by-step explanation:

The logistic equation is the following one:

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that P(0) = 80, K = 2000.

The number of fish tripled in the first year. This means that P(1) = 3P(0) = 3(80) = 240.

Using the equation for P(1), that is, P(t) when t = 1, we find the value of r.

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

240 = \frac{2000*80e^{r}}{2000 + 80(e^{r} - 1)}

280*(2000 + 80(e^{r} - 1)) = 160000e^{r}

280*(2000 + 80e^{r} - 80) = 160000e^{r}

280*(1920 + 80e^{r}) = 160000e^{r}

537600 + 22400e^{r} = 160000e^{r}

137600e^{r} = 537600

e^{r} = \frac{537600}{137600}

e^{r} = 3.91

Applying ln to both sides.

\ln{e^{r}} = \ln{3.91}

r = 1.36

This means that the expression for the size of the population after t years is:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

4 0
3 years ago
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