Graph y=1 - x2 and y= ex on the same set of coordinate axes. Use the graph to find the positive solution of the

The table shows the projected numbers N (in millions) of people living in the United States.

vfiekz [6]

According to the model, the year will the population exceed 470 million is 2060

What is the first step to take?

The first step in this case is to use the model to compute the population figure in each year as shown below:

N = 3.21t + 277.3

Year 2020:

t=20

N = 3.21(20) + 277.3

N=341.50

Year 2025:

t=25

N = 3.21(25) + 277.3

N= 357.55

Year 2030:

t=30

N = 3.21(30) + 277.3

N=373.60

Year 2035:

t=35

N = 3.21(35) + 277.3

N= 389.65

Year 2060:

t=60

N = 3.21(60)+ 277.3

N= 469.90

Year 2065:

t=65

N = 3.21(65)+ 277.3

N= 485.95

Since all the years given do not give the correct year, let us equate the target population figure to the model and solve for t

470= 3.21t + 277.3

470-277.3=3.21t

192.70=3.21t

t=192.70/3.21

t=60.03(approximately 2060)

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4 0

1 year ago

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

A flying disc has has a circumference of 81.64 cm what is the area of the flying disc used 3.14 for pie

katrin [286]

Answer:

530.66 cm squared

Step-by-step explanation:

c = 2(3.14)r

81.64 = 2(3.14)r

Divide both sides by 6.28

The radius is 13

a = 3.14(13 squared)

a = 530.66

8 0

3 years ago

Read 2 more answers

At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and

SIZIF [17.4K]

Answer:

i think the answer is town a will be 6, town b 5 town c is 4

Step-by-step explanation:

first you gather information that you already know
second you put each number with the correct town
last you subtract the probability of the numbers like 2-town a 8 which 6

3 0

2 years ago

Having trouble with subtracting and regrouping mixed numbers. 5 1/8 -2 4/8.

Mkey [24]

You will need to convert them into improper fractions, subtract them, and convert them back to mixed numbers.
5 1/8 - 2 4/8
41/8 - 20/8
21/8
2 5/8
Your answer is 2 5/8.

5 0

2 years ago