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?

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.

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

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 ^^

Answer:

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

Step-by-step explanation:

Answer:

B) 144°

Step-by-step explanation:

<AEC=108

<EDG= 180-108=72

<DEF=180-72=108

<AEF=360-108-108=144

Answer:

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

Step-by-step explanation:

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].

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

Answer:

rectangular prism

Step-by-step explanation:

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

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?)

Answer:

34

Step-by-step explanation:

2u=u+34

2u-u=34

u=34

Answer:

Step-by-step explanation:

2u = u + 34

u = 34

Answer:

1/4

3/8

3/4

Step-by-step explanation:

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

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

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]

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

Step-by-step explanation:

f(x)=(2×2)-3x+20

0=4-3x+20

0=-3x+24

3x=24

×=24÷3

x=8

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 :)

Answer:

2,184

Step-by-step explanation:

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.

Answer:0.625 or 5/8

Step-by-step explanation:

Answer:

Its B,C,D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

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

Answer:

6-n

Step-by-step explanation:

Just put that down for your answer

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

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

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]

Answer:

u need toADD THE PITRUE

Step-by-step explanation: