In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)

Answer:

100

Step-by-step explanation:

10 to the second power is 10^2. Therefore, that is 10x10.

This results in 100.

Answer:

100

Step-by-step explanation:

it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!

Answer:

n + (n + 6) = 24.

Step-by-step explanation:

Let him have n  blue marbles, then he has n + 6 other narbles.

He has a total of 24 marbles, so:

n + (n + 6) = 24.

Answer:

B) n + (n + 6) = 24, where n is the blue marbles

Step-by-step explanation:

^^

The length of the third side is [tex]≈15.7[/tex]

Note:

Phitagors theorem:

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c: hypotenuse[/tex]

[tex]a: altitude[/tex]

[tex]b: base[/tex]

1) Using Phitagors theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c^{2}=14^{2}+7^{2}[/tex]

2) Calculate

[tex]c^{2}=245[/tex]

3) Take the square root of both sides of the equation

[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]

[tex]c=\sqrt{245}[/tex]

[tex]c≈15.7[/tex]

Answer:

Looking at the problem we come across one issue where we have two minus signs.  However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1.  Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13.  Now we just combine and we get 6.

Answer:

6

Step-by-step explanation:

[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

The justification of step a is common denominator and the justification of step b is multiplication property of equality

The equation is given as:

[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]

Take the LCM

This gives

[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]

The above represents a common denominator.

Multiply both sides by 4a

[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]

The above represents the multiplication property

Hence, the justifications are common denominator and multiplication property of equality

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Step A: common denominator

Step B: multiplication property of equality

Answer:

0.973

Step-by-step explanation:

Solution

I'm going to discuss one way to do it, and then show a much better way.

If you attack the problem directly, there are 3 ways of placing just 1 day not being late

0.7 * 0.3 * 0.3  = .063

0.3 * 0.7 * 0.3 =  .063

0.3 * 0.3 * 0.7  = 0.63

Making it on on time on two days gives you 3 equations as well

0.7* 0.7 * 0.3 = .147

0.7* 0.3 * 0.7 = .147

0.3 * 0.7 * 0.7 = .147

Making it on time all three days

0.7 * 0.7 * 0.7 = .343

If you add add these up, you should get 0.973

There is a better way. First calculate what happens if he is late all three days.

0.3 * 0.3 * 0.3 = 0.027     No on times (.7) anywhere.

If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?

Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

                    [tex]\rule{199}{1}[/tex]

Given question:-

Which inequality is equivalent to -y≥18?

Answer and how to solve:-

Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.

So we get

y≤-18

Notice that the inequality sign changed.

The inequality sign changes when we divide both sides of an inequality by a negative number.

[tex]\rule{300}{1}[/tex]

Answer:

C. 5f +25

Step-by-step explanation:

Answer:

0.52cm2

Step-by-step explanation:

l of Arc =tita/360×2πr

15/360×2×22/7×2

A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,

£48,300 - £11,000 = £37,300

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

Answer:

The length of the field is equal to 96 m.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]: P = 2l + 2w

Step-by-step explanation:

Step 1: Define

Identify given.

P = 354 m

w = 81 m

Step 2: Find Length

∴ we have found the length of the field to be 96 meters.

---

Topic: Geometry

The following claims concerning hyperbola are correct:

It's worth noting that a hyperbola is essentially an open curve with two branches.

The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.

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Answer:

1,2,5

Step-by-step explanation:

[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]

Answer:

(a - 10) (a + 7)

Step-by-step explanation:

⠀

⠀

(a + 4)² - 11(a + 4) - 42

Fractorize

⠀

⠀

⠀

⠀

So the equation will be

⠀

[tex] \sf \large {x}^{2} - 11x - 42[/tex]

⠀

⠀

⠀

[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]

⠀

⠀

⠀

[tex] \sf x(x - 14) + 3(x - 14)[/tex]

⠀

[tex] \sf (x - 14)(x + 3)[/tex]

⠀

⠀

⠀

[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]

⠀

The approximate area of each half of ​△ACB is 28 square feet

The formula for calculating the area of a triangle is expressed as:

A = 0.5absintheta

Given the following

PB =11ft

<PCB = 65degrees

Using the SOH CAH TOA identity

tan<PCB = 11/CP
CP = 11/tan65
CP = 5.13 ft

Determine the required area

Area = 0.5(11)(5.13)sin90

Area = 5.5 * 5.13

Area . = 28 square ft

Hence the approximate area of each half of ​△ACB is 28 square feet

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Answer:

Probability of anything =

    (number of possible successful outcomes)

divided by

    (total possible number of outcomes) .

There are 36 total marbles in the bag, so there are 36 total

possible outcomes of one draw.

The successful outcomes are all the possible draws that are

not blue.    There are 28 of those.

So the probability of a non-blue selection is

        28/36  =  7/9  =  77.8%  (rounded)

Step-by-step explanation:

Answer:

The probability that a marble ball drawn will not be blue is

[tex] \frac{7}{9} [/tex]

Answer:

6.84 hours

Step-by-step explanation:

I will have to assume  100 is fully charged and that it drains 1/9 of 100 for each hour

76 / ( 100 * 1/9) = 6.84 hrs

Answer:

If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.

Answer:

y + 5x + 8

Explanation:

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25

Answer:

4/5

Step-by-step explanation:

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

Answer:

0.33 recurring

Step-by-step explanation:

assuming alol the fractions are equal, find the total number of possibilities and assign one for each number