Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.

a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52

a1 = -52 1/2 = -105/2

an = -105/2 + (n-1)×2

Answer:

50°

Hope you could understand.

If you have any query, feel free to ask.

Answer:

3f=5

Step-by-step explanation:

f(x) = x+4

3f=4x

x<5

5<_x<7

7<_x<_10

Answer: No

Step-by-step explanation:

you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.

Answer:

-0.25 is greater than -0.75

Step-by-step explanation:

usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.

Answer:   X = -(1/2) AND X = (3/2)

Step-by-step explanation:

4x^2 – 2x – 3 = 2x

4x^2 – 4x – 3 = 0

(2x+1)(2x-3) = 0

1.  (2x+1) = 0

    2x = -1

      X = -(1/2)

2.  (2x-3) = 0

      2X = 3

         X = (3/2)

Answer:

see explanation

Step-by-step explanation:

- 4x + 3 < 23 ( subtract 3 from both sides )

- 4x < 20

x < - 5 ← Her error is on this step

When dividing by a negative quantity the symbol is reversed, that is

Divide both sides by - 4 and reversing the symbol gives

x > - 5

Step-by-step explanation:

a full circle (turning around a point a full turn) is 360°.

so, all these angles together must be 360°.

90 + 33 + 165 + 20 + x = 360

308 + x = 360

x = 52°

this is my attachment answer hope it's helpful to you

Answer:

C

Step-by-step explanation:

The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!

8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.

Answer:

3 loops

Step-by-step explanation:

1.2x = 3.6 [Setting up an equation]

x = 3 [dividing both sides by 1.2]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

for more questions like this see, https://brainly.com/question/19261165

Answer:

3is the answer because t

s apply

Step-by-step explanation:

Area models are used to evaluate products and divisions

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

The division equation is given as:

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]

Express 79 as 77 + 2

[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]

Split the expression on the left-hand side

[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]

Divide 77 by 7

[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]

2 divided by 7 is 0 with a remainder of 2

So, we have:

[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]

The equations above are not equal.

This is represented as:

[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]

Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

Read more about area models at:

https://brainly.com/question/18701102

Answer:

22100

Step-by-step explanation:

First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)

Answer:

r = 2.5

Step-by-step explanation:

Consider the y- coordinates of the plotted points

1 , 2.5 , 6.25

The common ratio r is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5

Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

Answer:

112

Step-by-step explanation:

8 days when fitted into a half (1/2) gives you 16

7 times 16 gives the answer of 112 (people needed)

Answer:

112 people to do it in 1/2 of a day

Step-by-step explanation:

7 · 8 = 56

56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation:

Answer: f 500 Ft./sec

Step-by-step explanation:

By evaluating the derivate of the distance in t = 10s, we will see that at t =  10s the distance is changing at a rate of 464.2 ft/s

We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.

The hypotenuse would be the distance between the radar and the rocket.

Then the distance function is:

[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]

Now we need to get the rate of change, this is given by:

[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]

Now we evaluate this in t = 10s to get:

[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]

If you want to learn more, you can read:

https://brainly.com/question/18904995

Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

3x+15-3=6x+2-3x

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Answer:

y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed

Step-by-step explanation:

in this equation:

weight= t(months) + 7

this is an equation written as y=mx +b

in a line equation like this b is the y intercept , or the y value when x=0

in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn

Answer: y = 4x + 2

Step-by-step explanation:

A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.

In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).

slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

        = (2 - (-2)) / (0 - (-1))

        = (2 + 2) / (0 + 1)

        = 4 / 1

        = 4

y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.

Plug both slope and y-intercept in, we get the equation:

            y = 4x + 2

Answer: y = 4x + 2

Step-by-step explanation:

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)