U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?

Answers

Answer 1

Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands


Related Questions

(8x - 4)(7y + 2) multiplying binomials

Answers

Step-by-step explanation:

8x(7y+2)-4(7y+2)

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!

Answers

Answer:

A. 72

Step-by-step explanation:

Determinant of a 2x2 matrix: ad - bc

In that case,

24(18) - 30(12)

432 - 360

72

And we have our answer.

Find the 87th term of the arithmetic sequence –19, -13, -7,...

Answers

Answer:

87th term is 497

Step-by-step explanation:

first, you have to find the nth term:

figure out the difference between your set of numbers (in our case +6)

that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.

nth term= 6n-25

now replace n with 87.

final step:

87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497

497 is your 87th term.

Answer:

-535

Step-by-step explanation:

[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

Someone help please

Answers

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

work out the volume of a sphere please help i’ll give u brainlest

Answers

Answer:

V = 3591.4 cm³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 9.5 cm

V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

[tex]3591.4{cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]

if y= -6 when x= -2 find y when x= 5

Answers

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero

Answers

Answer:

160J

Step-by-step explanation:

I think this is the answer

A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag

Answers

Answer:

342/6 = 57

Step-by-step explanation:

Just basic division

ANSWER:

342/6 = 57

just basic division

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?




Choose 3 answers:




Choose 3 answers:





(Choice A)




A




y=9xy=9xy, equals, 9, x





(Choice B)




B




2y=18x2y=18x2, y, equals, 18, x





(Choice C)




C





pls answer as fast as u can

Answers

Answer:

3,12,15

Step-by-step explanation:

caculator

what is the graph of y > x2-9.​

Answers

Answer:

The 1st graph

Step-by-step explanation:

When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.

Work out the surface area of this cylinder
8.2 cm
17.5 cm

Answers

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²

15/4 divided by -5/8 equals?

Answers

Answer:

-6

Step-by-step explanation:

15/4 ÷ -5/8

Copy dot flip

15/4 * -8/5

Rewrite

15/5 * -8/4

3 * -2

-6

Answer:

-6

Step 1) Do keep change flip if your beginner

After you do that

you get 15/4x-8/5 multiply and simply get -6

Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.

Answers

Answer:

let number of bags of popcorn = b

let number of drinks = d

at most = maximum

b + d ≤ 12

A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])

Answers

Answer: The midpoint is (1,0)

Step-by-step explanation:

Point B  has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of  the x and y coordinates.

x coordinates.  [tex]\frac{-1+3}{2}[/tex] =  [tex]\frac{2}{2}[/tex] = 1  

y coordinates .   [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  

Midpoint: (1,0)

Calculate the amount of money you'll have at the end of the indicated time period.
You invest $1000 in an account that pays simple interest of 6% for 30 years.
The amount of money you'll have at the end of 30 years is $​

Answers

Step-by-step explanation:

Simple Interest = PTR/100

=1000* 30* 6/100

=1800.

Amount= Principal + Interest

= 1000+1800

= $2800

The amount of money that has at the of 30 years is $​2800.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $1000

Rate of interest R = 6%

Time span T = 30 years.

Total amount = Principle amount + Interest

Total amount = P + (PRT)/100

Total amount = $1000 + (1000 x 6 x 30)/100

⇒ $2800

Hence "The amount of money that has at the of 30 years is $​2800".

For more about simple interests

https://brainly.com/question/25845758

#SPJ5

The fifth-grade classes at Harvest Elementary School had an apple-tasting party. They tasted red, yellow, and green apples. There were 130 apples at the party altogether. There were 3 times as many yellow apples as green apples. There were twice as many red apples as yellow apples. How many red apples were at the party?

Answers

Answer:

78 red apples

Step-by-step explanation:

Set up the equations

r + y + g = 130

y = 3g

r = 2y

If r = 2y and y = 3g, then r = 6g

Plug in the two equations, y = 3g, and r = 6g

6g + 3g + g = 130

10g = 130

g = 13

Plug in 13 as g in the equation r = 6g

r = 6(13)

r = 78

There were 78 red apples

Can you help me with this question

Answers

Answer:

-1.67

Step-by-step explanation:

Find the 8th term of geometric sequence 2,-10,50...

Answers

Answer:

- 156250

Step-by-step explanation:

Find the ratio of the geometric sequence.

-10/2 =  -5

50/-10 = -5

The common ratio is -5.

Apply the formula.

an = ar^(n-1)

Where a is the first term and r is the ratio.

a8 = 2(-5)^(8-1)

a8 = 2(-5)^7

a8 = 2(-71825)

a8 = -156250

Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain

Answers

36/3=12. 12+9=21. X=21. 21/3=7. 7+9=16. Y=16. 21-16=5

Answer:

y - x = - 5

Step-by-step explanation:

Applying the rule gives

x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21

y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16

Thus

y - x = 16 - 21 = - 5

Which graph shows the solution to this system of inequalities?

Answers

Answer:

Your graph is supposed to be like this so your answer is C

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY

Write 14/√2 + √50 in the form b√2 where b is an integer.

Answers

Answer:

[tex]12 \sqrt{2} [/tex]

Step-by-step explanation:

Taking the terms one at a time,

[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]

[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]

Adding the terms, you have;

[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]

Hope it helps!

I'm out!

Answer:

12

Step-by-step explanation:

14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2

12√2= b√2

b=12

(5•5•5) • (5•5•5•5•5•5)

Answers

Answer:

1953125

Step-by-step explanation:

Step 1: Simplify

(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]

Step 2: Combine exponents

[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]

Step 3: Evaluate

[tex]5^9[/tex] = 1953125

Answer:

15750

Step-by-step explanation:

First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.

The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).




According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?

Answers

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  [tex]\frac{45-52}{7}[/tex]  = -1

   For 59 minutes, z-score is =  [tex]\frac{59-52}{7}[/tex]  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

What is 40% of 260..

Answers

Answer:

104

Step-by-step explanation:

40 x 260 /100  = 104

Answer:

104

Step-by-step explanation:

40% of 260=

40/100 x 260=

10400/100=

104

Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?

Answers

Answer:

4/15

Step-by-step explanation:

I need help, please Will mark the Brainliest

Answers

Answer:

A= BEP and BCG

Because they aree the only triangle

C= about 600 to 750

Step-by-step explanation:

95 students choose to attend one of three after school activities: footbal,l tennis or running. There are 28 boys. 38 students choose football, of which 26 are girls. 23 students choose tennis. 29 girls choose running. A student is selected at random. What is the probability this student choose running? Give your answer in its simplest form.

Answers

Answer:

34/95

Step-by-step explanation:

Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.

Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)

Answers

Answer:

(-1, 5), (2, -1), (0, 3)

Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)

Answers

Answer:

D. 10(6y - 9 - 2x)

Step-by-step explanation:

We want to factor 60y - 90 - 20x.

We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.

10 is common among all three:

10(6y - 9 - 2x)

We have factored it.

Answer:

c

d

Step-by-step explanation:

Please HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it might be the second one or maybe the first one

Step-by-step explanation:

Im not quite sure so dont blame me if its wrong

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