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the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.

[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]

Answer:

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

Step-by-step explanation:

f(x) = 6x² - x - 2

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 2 = - 12 and sum = - 1

the factors are + 3 and - 4

use these factors to split the x- term

6x² + 3x - 4x - 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) - 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x - 2) , then

f(x) = (2x + 1)(3x - 2) ← in factored form

Answer:

(a) d = 2.1     (b) a = 8.7

Step-by-step explanation:

[tex]d^{2}+d^{2} = 3^{2}[/tex]

[tex]2d^{2} = 9\\d = \sqrt[2]{9/2} = 2.1[/tex]

The hypotenuse = 5*2 = 10

[tex]5^{2} + a^{2} = 10^{2}\\a^{2} = 100 - 25 = 75\\a = \sqrt{75} = 8.7[/tex]

Answer:

Yes

Step-by-step explanation:

Answer:

(A) The unshaded octagon is a reflection because it is a flip over a diagonal line.

Step-by-step explanation: Trust, rust, and pixie dust

Answer:

A is correct

The unshaded octagon is a reflection because it is a flip over a diagonal line.

i took the test

Answer:

Step-by-step explanation:

Answer:

29 inches

Step-by-step explanation:

Answer:

Use Pythagoras' Theorem:

c²=a²+b²

c²=20²+21²

c²=841

c=√841

c=29 inches

Step-by-step explanation:

Answer:

B) 6.3 feet

Step-by-step explanation:

sin Θ = opp/hyp

sin 75° = h/6.5

h = 6.5 sin 75°

h = 6.3

Answer: B) 6.3 feet

cos 0 = 1/6

1 - cos²0 = sin²0

sin²0 = 35/36

in quadrant IV (4) the cos is positive sin is negative.

sin0 = - √35/6

Answer:

y = 14

Step-by-step explanation:

If the line is horizontal, it will always have the ssame value of y for all values of x.  Therefore, y = 14.

Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

Answer:

Step-by-step explanation:

Find the amount of change in both cases and convert the change into percentage, then compare final results.

1. Riddington

Change:

Percent change:

2. Greenwick

Change:

Percent change:

As we see 50% > 40% so this proves the statement.

Answer:

21 is the answers to your question

Answer

1hr/15 mins=60 mins/15 mins=4 minutes.

Step-by-step explanation:

Answer:

KL = 51

Step-by-step explanation:

1: Make an equation

[tex]10x -2 = 5x-8 + 7x -12[/tex]

the 10x is the JL line which is the whole line segment

2: start solving by getting all x to be on one side

[tex]10x-5x-7x = -8 -12 +2[/tex]

3: simplify

[tex]-2x = -18[/tex]

4: solve for x

[tex]x=9[/tex]

5: plug x back into KL

[tex]7(9)-12 = 51[/tex]

Answer:

d = 50

Step-by-step explanation:

30 = 5 + 0.5d ( subtract 5 from both sides )

25 = 0.5d ( divide both sides by 0. 5 )

50 = d

Answer:

  ln(x)/2 -3.810930

Step-by-step explanation:

The relevant rules of logarithms are ...

  ln(ab) = ln(a) +ln(b)

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

  ln(e) = 1

__

Your expression expands to ...

  [tex]\ln\left(\dfrac{4\sqrt{x}}{9e^3}\right) = \ln(4\sqrt{x})-\ln(9e^3)=\ln(4)+\dfrac{1}{2}\ln(x)-(\ln(9)+3\ln(e))\\\\=\dfrac{1}{2}\ln(x)+\ln(4)-\ln(9)-3\\\\\approx\dfrac{\ln(x)}{2}-3.810930[/tex]

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form is the form

y = mx + b

So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.

Answer:

Point Form:

(

8

3

,

−

5

3

)

Equation Form:

x

=

8

3

,

y

=

−

5

3

Answer:

x=4, y=-3, or (4,-3)

Step-by-step explanation:

Hi there!

We are given the following system of equations:
-2x+y=-11

4x+4y=4

And the problem wants us to solve it by substitution

In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)

It's easier to do this when one of the variables already has a coefficient of 1, as we can just move a couple of terms around without having to multiply or divide anything; for example, in the first equation, -2x+y=-11, y already has a coefficient of 1

So we can just add 2x to both sides, in order to solve the equation for y

-2x+y=-11

+2x      +2x

______________

y=2x-11

Now substitute this expression into the the second equation as y.

So, 4x+4y=4 would become 4x+4(2x-11)=4

Now we need to solve 4x+4(2x-11)=4

Do the distributive property:

4x+8x-44=4

Combine like terms

12x-44=4

Add 44 to both sides

12x=48

x=4

We found the value of x

Now we need to find the value of y
Substitute 4 as x in y=2x-11

y=2(4)-11

Multiply

y=8-11

subtract

y=-3

The answer is x=4, y=-3, or as a point, (4, -3)
Hope this helps!
See more on solving systems by substitution here:
https://brainly.com/question/24420448

Answer:

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

Step-by-step explanation:

There are 75 people in a 100 square foot area.  The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.

A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.

The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.

Learn more about sample mean from

https://brainly.com/question/7597734

Answer:

-566

Alternative form:

-5.66 x [tex]10^{2}[/tex]

Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

Answer:

1175/954 there your answer

Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69

Answer:

b

Step-by-step explanation:

Repeating domain (x-values) does not represent a function.

Option b does not have any repeating domains.

Hope this helps!

Answer:

The answer is the third one.

Step-by-step explanation:

Hopefully this is helpful :)

Answer:

the answer is 42 can i have brainliest please:)

Step-by-step explanation:

3x7x2=42

Answer:

42

Step-by-step explanation:

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]

[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]

Answer:

  5 terms

Step-by-step explanation:

The attached table shows that the sum of 5 terms is -4665.

__

Additional comment

A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.

In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.

Answer:

1st one is adjacent

2nd one is complementary

3rd one is adjacent

4th one is complementary