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The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  https://brainly.com/question/25504185

Answer:

Y

Step-by-step explanation:

Because the direct variables are plus twenty five

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 3 , 14 )

Equation Form:  x  =  3 , y  =  14

Step-by-step explanation:

Answer:

-3,3,7 for Acellus

that's it

Answer:

14416

Step-by-step explanation:

youre welcome

Answer:

14416

Step-by-step explanation:

check the steps for answers

Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

Answer:

6020*10's power 21 is correct and suitable way to write it in notation

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

Answer:

To make an inequality its in the part that is shaded so

Step-by-step explanation:

(-2,-2) (-4,1) ETC

Answer:

A=7c/5 + 8d/5

Step-by-step explanation:

Answer:

A = [tex]\frac{7c+8d}{5}[/tex]

Step-by-step explanation:

7c + 8d = 5A ( isolate A by dividing both sides by 5 )

[tex]\frac{7c+8d}{5}[/tex] = A

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.  

If we are shifting 6 units to the left, h = -6.  Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

Answer:

0.5844

Step-by-step explanation:

Answer:

0.5844 just use a calculator

Answer:

There doesnt seem to be a mode

Step-by-step explanation:

The mode is the number that ocurs most in the sequence

EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST

Answer:

5/8 is 62.5% which makes it greater

Step-by-step explanation:

Convert the fraction to a decimal and then just multiply it with 100

5/8 is 0.625

0.625×100 is 62.5

just add a %

then you get 62.5%

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

9/15 = 0.60

0.60 * 100 = 60

60 skittles are in the bag

Answer:

She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.

Answer:

8$

Step-by-step explanation:

Answer:

5 more treats

Step-by-step explanation:

The total number of treats if she gives each person 4 treats is

. 37 people * 4 treats = 148 treats

Subtract 143 (number of treats she has) from 148 (total number of treats to give out)

. 148 treats - 143 treats = 5 treats

143 treats

37 patients

how many treats will she need to make in order for each patient to receive 4 treats.

[tex]4 \times 37[/tex]

[tex] = 148[/tex]

[tex] = 148 - 143[/tex]

[tex] = 5[/tex]

therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats

answer= option D

Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Answer:

3/4

Step-by-step explanation:

For lines to be parallel, only their y-intercepts have to be different.

Answer:

3/4

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]x = - 1 \\ x = \: 7[/tex]

Step-by-step explanation:

[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]

[tex](x - 3 {)}^{2} - 16 = 0[/tex]

[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]

[tex](x - 7) \times (x + 1) = 0[/tex]

[tex]x - 7 = 0 \\ x + 1 = 0[/tex]

[tex]x = 7 \\ x + 1 = 0[/tex]

[tex]x = - 1 \\ x = 7[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17