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andreev551 [17]
3 years ago
15

What is the initial value of the function represented by this graph? (5 points)

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

\displaystyle 1

Explanation:

Another name for <em>initial</em><em> </em><em>value</em><em> </em>is y-intercept, which in this case is \displaystyle [0, 1].

I am joyous to assist you anytime.

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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod
ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

\frac{dp}{dt}=\frac{0.7}{100}P

\int \frac{dP}{P}=0.007\int dt

lnP=0.007t+C

Using the formula

\int \frac{dx}{x}=ln x+C

P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}

e^C=A

Initially when t=0,P=323 million

Substitute the values

323 million=A

P=323e^{0.007t}

Now, substitute P=400 million

400=323e^{0.007t}

ln\frac{400}{323}=0.007t

ln(1.2384)=0.007t

t=\frac{ln(1.2384}{0.007}

t=30.5\approx 31 Years

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0
3 years ago
The transformation of the function f(x) = 2x when it becomes f(x) = 2x-4 is a horizontal shift of 4 units to the left.
Natasha_Volkova [10]
No it is actually a horizontal shift of 2 units to the right. 
6 0
3 years ago
SOVing Problems With Right Triangles: Mastery Test
Serhud [2]

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is  Charlie when he should have utilized the  sin function. Because he incorrectly selected the  function.

7 0
3 years ago
Pls help me I don't understand ​
Ne4ueva [31]

Answer: 0

Step-by-step explanation:

the answer is 0

5 0
3 years ago
Read 2 more answers
How many pounds of Brazilian coffee costing $ 6 per pound must be mixed with 27 lbs of Columbian coffee costing $ 4 per pound to
grigory [225]

Answer:

11 2/3 pounds.

Step-by-step explanation:

Let x pounds be the amount in pounds of Brazilian coffee.

x + 27  is the amount of coffee in lbs after the mixing.

So ,working in  values of dollars, we have:

6x + 4*27 = 4.5(x + 27)

6x + 104 = 4.5x + 121.5

1.5x = 121.5 - 104 = 17.5

x = 17.5/1.5 = 11 2/3 pounds answer

8 0
3 years ago
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