Type the correct answer in each box. Use numerals instead of words. if necessary, use / for the fraction bar(s).
Find the sum. Write your answer in simplest form.

The exponential growth function to model represents as P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

The exponential growth function is given by:-

y = A(1 +r)ⁿ

where r is the rate of growth and A is the initial amount and n is the time period.

Let t represent the number of years since 2000 and P represent the population.

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city.

Put A = 236,000 , r = 0.04 and t = 9, we get

P = 236,000 (1+ 0.04)⁹

P = 335,902

Hence, the exponential growth function to model represents P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

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Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

Answer:

4 liters

Step-by-step explanation:

8/2 8 divided by 2 is 4 how do I know this, because if its per apple juice then we have to find out what can get me per apple juice, you just basically had to divde it by its own number

Answer:

C

Step-by-step explanation:

it is not my percentage, it is not constant, it is increasing over time

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

Answer:

D and E

Step-by-step explanation:

The simplified expression is 14x + 10.

The correct option is E (14x + 10), which matches the simplified form of the original expression.

To simplify the expression 12x - 3 + 2x + 13, we can combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent(s).

First, we combine the x terms, which are 12x and 2x. Their sum is 14x.

Next, we combine the constant terms, which are -3 and 13. Their sum is 10.

Therefore, the simplified expression is 14x + 10.

Among the given options, the expression 14x + 10 is the correct one.

Option A (10x + 16) is not equivalent to the original expression because it does not combine the x terms correctly.

Option B (14x + 16) is not equivalent to the original expression because it does not account for the constant term correctly.

Option C (17x + 13) is not equivalent to the original expression because it combines the x terms incorrectly and does not account for the constant term correctly.

Option D (2(7x+5)) is not equivalent to the original expression because it is a different expression altogether, factoring out the common factor of 2 from the terms.

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Answer:

((90*3)+(40*6))/9

=(90+90+90+40+40+40+40+40+40)/9

=66.66

Step-by-step explanation:

A, higher than her sisters score

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

Answer:

3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

The first number is 2.5

The second number is 3.5

We need to find the number that is exactly halfway between 2.5 and 3.5​. It can be calculated as follows :

[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]

Hence, 3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

[tex]43-25=18[/tex]

[tex]61-43=18[/tex]

[tex]79-61=18[/tex]

[tex]97-79=18[/tex]

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

[tex]F(n)=F(n-1)+d[/tex]

Where, d is the common difference and F(1) is the first term.

Putting [tex]d=18[/tex], we get

[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Answer:

x=-6

Step-by-step explanation:

1. Move the variable to the left-hand side and change its sign

3x-4-2x=-10

2. Collect like terms

x=-10+4

-10+4= -6

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

= 2πr

= 2 × π × 30 feet

= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

= 7 × circumference of the wheel

= 7 × 60π feet

= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

= (420π/14) feet/minute

= 30π feet/minute

= (30π × 12)/60 inches/second

= 6π inches/second

= 18.9 inches/second

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Answer:

6

Step-by-step explanation:

In a circle equation, the radius can be found by taking the square root of the r² value.

In this equation, the r² value is 36.

Take the square root:

√36

= 6

So, the radius is 6.

Answer:i

Step-by-step explanation:i

Answer:

X=4

Step-by-step explanation:

(5+4+3+2x)/4=5

(12+2x)/4=5

12+2x=20

2x=8

X=4

Answer:

y = 14x

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 7 as y and 0.5 as x, and solve for k:

y = kx

7 = k(0.5)

14 = k

Plug this into the equation:

y = kx

y = 14x

So, the equation of variation is y = 14x

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

Answer:

Mean number of holidays taken =26.6

Step-by-step explanation:

To find the mean,

We use Σfx/Σf

Σfx =150+234+189+84+0+60

=717

Σf= 6+9+7+3+0+2

=27

Σfx/Σf= 717/27

26.6

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

This question may be relatively tricky. Since no specific order is stated or implied, it does not matter whether the vendor chooses vanilla or strawberry first, as long as the vendor chooses both.

Therefore, for the first flavor the vendor can either choose vanilla or strawberry. There is a [tex]\frac{2}{4}=\frac{1}{2}[/tex] chance of this happening.

For the second flavor, the vendor must choose the one they didn't pick for the first flavor (either strawberry or vanilla). There is a [tex]\frac{1}{4}[/tex] chance they do so.

Therefore, there is a [tex]\frac{1}{2}\cdot \frac{1}{4}=\boxed{\frac{1}{8}}[/tex] chance that vanilla and strawberry are chosen.

Answer:

143 degrees

Step-by-step explanation:

First find angle ACB which is 180-83=97

Then angle ABC which is 180-134=46

Then angle CAB (97+46)-180=37

Finally angle HAB 180-37=143