Solve the problem:

The number of inhabitants in millions of a certain city can be calculated using the expression [tex]p (x) = 2^{3} * 10\frac{2t}{3}[/tex] If t represents time in years:

a) How long approximately must elapse for the population of the city to be 200 million inhabitants?

b) How many inhabitants will be in the city after 4 years?

Answers

Answer 1

Answer:

Given function:

p(t) = 2³[tex]10^{2t/3}[/tex]

a)

Find x when p(t) = 200:

2³[tex]10^{2t/3}[/tex] = 200[tex]10^{2t/3}[/tex] = 2522t/3 = log 25t = 3 log 5t = 2.0969 years ≈ 2 years and 1 month

b)

Find p(t) when t = 4:

p(4) = 2³([tex]10^{2*4/3}[/tex] ) = 8*[tex]10^{8/3}[/tex] = 3713.27 million

Related Questions

What is 5x1=??? :) This is SOO hard!:( I will give hmmmm 96 point!

Answers

Answer:

5

Step-by-step explanation:

Find the equation of the line with slope m=1 that contains the point (1,2)

Answers

Answer:

y = x + 1

Step-by-step explanation:

We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)

Where m is the slope and (x1 y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

( y - 2 ) = 1 ( x - 1 )

We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b

y - 2 = 1x - 1

y = 1x - 1 + 2

y = 1x + 1 or y = x + 1 * are just the same.

The equation of the line is y = x + 1.

What is a slope?

The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1

And (x₁ ,y₁)  =  (1,2)

then the equation of line is

y - y₁ = m (x - x₁)

y - 2 = (x -1)

y = x + 1

Therefore, the equation is y = x + 1.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?

Answers

Answer:

f(x) = -1/12 (x - 3)^2 - 1

Step-by-step explanation:

Use substitution to solve the following system of equations. 4x – 13y = -12 AND X = 2y - 8 ​

Answers

Answer:

y=5/4=0.8

Step-by-step explanation:

(4×2y−8)−13y=−12

Multiply 4 and 2 to get 8.

8y−8−13y=−12

Combine 8y and −13y to get −5y.

−5y−8=−12

Add 8 to both sides.

−5y=−12+8

Add −12 and 8 to get −4.

−5y=−4

Divide both sides by −5.

y=−5−4

Fraction −5/−4 can be simplified to 5/4 by removing the negative sign from both the numerator and the denominator.

y=5/4

In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25

Answers

Answer:

B

Step-by-step explanation:

1/5x +20 = 25

1/5x = 5

x = 25

Answer:

B

Step-by-step explanation:

A) 2(x-25)=25  x=25  2(25-25)=25 2(0)=25 No

B 1/5x+20=25  x=25  1/5*25=5  5+20=25 Yes

B is the answer! I hope this helped ^^

Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP

Answers

Answer:

The equivalent expression is [tex]7(1+i)[/tex]

Step-by-step explanation:

Additional of complex numbers:

When we add complex numbers, we add both it's real parts and imaginary parts.

In this question:

[tex](3 + 2i) + (4 + 5i) = 3 + 4 + (2+5)i = 7 + 7i = 7(1+i)[/tex]

The equivalent expression is [tex]7(1+i)[/tex]

Look at point w,x,y,and z on the number line

Answers

Answer:

u need toADD THE PITRUE

Step-by-step explanation:

When Mrs. Campece bakes chocolate chip cookies, she need 2 cups of flour
for every 1.5 cups of chocolate chips. If she's making a big batch and uses 6 cups
of flour, how many chocolate chips does she need?

Answers

Answer:

4.5

Step-by-step explanation:

make a proportion:

[tex]\frac{2}{1.5} = \frac{6}{x}[/tex]

solve for x using cross products:

x=4.5

Ginee sells t-shirts that she custom designs and buys from two wholesalers. Custom T-Shirts charges $7 for each t-shirt and a one-time screen print set-up fee of $40. T-Shirts Unlimited charges $8 for each t-shirt and a one-time screen print set-up fee of $20. Based on this information, which THREE statements are correct?

Answers

Answer:

Its B,C,D

Step-by-step explanation:

Please explain in words.

Answers

Answer:

Negative

Step-by-step explanation:

The following expression will be negative. This is because, the fraction in x is a negative fraction. The fraction in y is a positive fraction. The expression is    x * y, so if you were to multiply the two it would be negative. This is because a negative multiplied by a positive will be equal to a negative.

Hope this helps!!

-Ketifa

(Can I get brainliest?)

what are the x-interceptsf(x)=-2x2-3x+20?​

Answers

Step-by-step explanation:

f(x)=(2×2)-3x+20

0=4-3x+20

0=-3x+24

3x=24

×=24÷3

x=8

See picture. Please show work

Answers

Answer:

its the last one i had this question like 5 days ago i am sure

Answer:

option b) is not similar but they have ( mid point theorem) EF parallel to vu

and half of UV

Which statement is true about the value of (6-n)(6n)

Answers

Answer:

6-n

Step-by-step explanation:

Just put that down for your answer


Identify the angles , solve for x

Answers

Answer:

Consecutive interior angles ; x = 20

Step-by-step explanation:

These are known as consecutive interior angles. This means they are equal to each other. Knowing this, we can set up an equation to solve for x.

4x - 30 = 2x + 10

2x - 30 = 10

2x = 40

x = 20

Yes that’s right absolutely

find the value of u in paralellogram

Answers

Answer:

34

Step-by-step explanation:

2u=u+34

2u-u=34

u=34

Answer:

Step-by-step explanation:

2u = u + 34

u = 34

Help please


look at the picture above

Answers

Answer:

60

Step-by-step explanation:

To find area just multiply base time height, length time width, or side time side if it is a square, so 5 x 12 = 60

cuanto es 3/4 × 5/6 ​

Answers

Answer:0.625 or 5/8

Step-by-step explanation:


Mr. Bernstein owns 11 paintings, but has only enough wall space in his home to display five of
them at any one time. How many ways can Mr. Bernstein display three paintings in his home?

Answers

Answer:

2,184

Step-by-step explanation:

Find the value of the expression a? – b2 for a = 2 and b=1

Answers

Answer:[tex]a^2-b^2=3[/tex]

Step-by-step explanation:

We need to find the value of the below expression i.e.

[tex]a^2-b^2[/tex] when a = 2 and b = 1.

So,

Put a = 2 and b = 1 in the above expression. So,

[tex]a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3[/tex]

Hence, the value of the expression is equal to 3.

what shape can be formed from the fowllowing net?​

Answers

Answer:

rectangular prism

Step-by-step explanation:

ill mark brainlist plss help

Answers

Answer:

The light because it uses it with water and carbon dioxide to do photosythesis and use gluose for energy

Step-by-step explanation:

one half of the birds at the pet store are yellow. Tara buys one of the birds. Then one third of the birds at the pet store are yellow. How many yellow birds were at the pet store before Tara bought one? explain how u know

Answers

Well, y=ny
2(y-1)=ny
(where ny is not-yellow)
You get y=2y-2 or y=2. You had two yellow birds and two other types.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
- 2
0
2
Use the function rule to complete the table.
- 10x + y = 4
Please help I’ve been stuck on this for an hour now PLEASEEEEE

Answers

Answer:

y= 10x + 4

Step-by-step explanation:

-10x + y = 4

-10x + y +10x = 10x + 4

y= 10x + 4

depending on what its asking usually this is what its asking for but im not sure exaclty what its asking so here.....

next step is to plug the numbers in

so for the first box it says that x is -2

plug it in.....

y = 10(-2) + 4

y = -20 + 4

y = -16

then keep doing it for the next boxes.....

second box:

y = 10(-1) + 4

y = -10 + 4

y = -6

third box:

y = 10(0) + 4

y= 4 because 10 times zero is zero (basically any number times 0 is zero)

fourth box:

y = 10(1) + 4

y = 10 + 4

y = 14

fifth box:

y = 10(2) + 4

y = 20 + 4

y = 24

Hope this helps!

*srry in advance if its wrong

In the past, 30% of a country club's members brought guests to play golf sometime during the year. Last year, the club initiated a new program designed to encourage members to bring more guests to play golf. In a sample of 95 members, 34 brought guests to play golf after the program was initiated. When testing the hypothesis that the new program has increased the proportion of members bringing out guests (using a 5% level of significance), what is the null and alternative hypothesis

Answers

Answer:

The null hypothesis, H₀: p = 0.3

The alternative hypothesis is Hₐ: p ≠ 0.3

Step-by-step explanation:

The null hypothesis, H₀, in inferential statistics is the default hypothesis that the measured quantity is zero or null and therefore there is no difference between the population characteristic measured, when the quantity measured is the difference between two situations

Therefore, the null hypothesis, H₀: p = 0.3

The alternative hypothesis is usually the opposite of the null hypothesis, therefore, the alternative hypothesis Hₐ is given as follows;

The alternative hypothesis is Hₐ: p ≠ 0.3

sms
3. The scale factor from the original figure to its copy
is Draw the original figure
Original
Copy

Answers

Wait I can help let me just get back to to

What is the measure of angle AEF

Answers

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a marble, puts it back and then selects a second marble. P (blue, red)

Answers

Given:

Number of red marbles = 4

Number of blue marbles = 8

Number of yellow marbles = 6

Number of green marbles = 2

To find:

The probability of getting a blue marble then a red marble, i.e., P(blue, red).

Solution:

Using the given information,

The total number of marbles = 4+8+6+2

                                                = 20

Probability of getting a blue marble in first draw is

[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]

[tex]P(Blue)=\dfrac{8}{20}[/tex]

[tex]P(Blue)=\dfrac{2}{5}[/tex]

Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.

[tex]P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}[/tex]

[tex]P(red)=\dfrac{4}{20}[/tex]

[tex]P(red)=\dfrac{1}{5}[/tex]

Now, the probability of getting a blue marble then a red marble is

[tex]P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}[/tex]

[tex]P(blue,red)=\dfrac{2}{25}[/tex]

Therefore, the required probability P(blue, red) is [tex]\dfrac{2}{25}[/tex].

[tex]\frac{t}{5} =13[/tex]

Answers

Answer:

t=65

Step-by-step explanation:

[tex] \frac{t}{5} = 13[/tex]

[tex]5 \times \frac{t}{5} = 5 \times 13[/tex]

[tex]t = 65[/tex]

Plssss HELPPP I DONT wanna fail o(≧口≦)o

Answers

Answer:

1/4

3/8

3/4

Step-by-step explanation:

Fairly rough estimates as the image doesn't look perfectly to scale!

The value of a is the value of B is the value of C is

Answers

Answer:

A: 5

B: 9

C: 32

I hope this helps the people who're looking for this answer!

A: 5

B: 9

C: 32

thank you :)

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