The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per city is represented but the function P(x)=(1.05)^3x+5

Which Function best describes T(x), the approximate population in the region?

HELP!!! PLS

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Step-by-step explanation:

am not seeing it is not clear capture another video

Answer:

q = 3+1/2 r

Step-by-step explanation:

10q -5r = 30

Add 5r to each side

10q -5r+5r = 30+5r

10q = 30 +5r

Divide by 10

10q/10 = 30/10 +5r/10

q = 3+1/2 r

Answer: 75%

Step-by-step explanation:

Only 9 students have taken fewer than 21 courses

9/12 = 0.75 or 75%

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

Answer:

Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).

Answer:

The value of this number is 31.

Step-by-step explanation:

To solve this you could set up an equation and solve for x.

Sum means add, so you are going to add 2n and 13 to get 75.

2n + 13 = 75

Subtract 13 from both sides.

2n = 62

To get n alone, divide by 2 on both sides.

n = 31

The value of this number is 31.

Have a nice day, please mark brainliest if possible! :)

Answer:

D) y - 4 = -2 ( x - 1 )

Step-by-step explanation:

Point-slope form is y - y₁ = m ( x - x₁ )

so you just plug in your points, hope this helped

We know

[tex]\boxed{\sf cos\Theta=\dfrac{b}{h}}[/tex]

[tex]\\ \sf\longmapsto cos22=\dfrac{x}{47}[/tex]

[tex]\\ \sf\longmapsto 0.9=\dfrac{x}{47}[/tex]

[tex]\\ \sf\longmapsto x=47(0.9)[/tex]

[tex]\\ \sf\longmapsto x=42.3[/tex]

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

4x -8 > -40

Add 8 to both sides:

4x > -32

Divide both sides by 4:

X > -8

Answer: x > -8

Answer:

a) 30

b)600pi

Step-by-step explanation:

For the first questions, since the arc is 240°, the area of the sector and circumference will be 240/360 or 2/3 of the total of the circles'. Therefore 125.6 x 3/2 is the circumference, which is 188.4. When we divide this by 6.28, we get 30

Now, since the area is pi r^2 where we know that r=30, we get 900pi as the area of the whole thing, however since the sector is 2/3 of the whole circle, 2/3 x 900pi = 600pi

Answer:

C.

0.5; 13.5; 1093.5

Step-by-step explanation:

Answer:

It is the diagram A

Answer:

9.7959 sec

Step-by-step explanation:

For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959

The time arrow take to come back to a height even with his bow height is 9.79 seconds.

We have an equation of the height of the arrow with respect to time -[tex]y = -4.9x^{2} +48x[/tex] where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.

We have to find out - how long it takes the arrow to come back to a height even with his bow height.

It is an example of two - dimensional Projectile motion.

We have the function that depicts the variation of height of the arrow with respect to time given by -

[tex]y=-4.9x^{2} +48x[/tex]

To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.

[tex]y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79[/tex]

Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.

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Answer:

6

Step-by-step explanations:

The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.

Hope this helps.

Answer:

2.07648468018

Step-by-step explanation:

Answer:

O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.

Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.

Step-by-step explanation:

Answer: 3 and 47/100

Step-by-step explanation:

The image of this question is missing and so i have attached it.

Answer:

dd/dt = 4.47 ft/s

Step-by-step explanation:

From the image attached, let's denote the following;

d = horizontal distance beneath pulley

h = height of pulley

l = diagonal from the pulley to the head of the person

v = velocity of rope rising

Using pythagoras theorem;

l² = d² + h²

Differentiating with respect to time and considering h = c^(te) gives;

2l(dl/dt) = 2d(dd/dt)

We are given;

d = 20 ft

h = 10 ft

v = 4 ft/s

We know that velocity in this case is change in diagonal distance with time. Thus;

v = dl/dt = 4 ft/s

From earlier, we saw that;

2l(dl/dt) = 2d(dd/dt)

Thus, reducing it gives

(dl/dt)(l/d) = dd/dt

Now, l² = d² + h²

l = √(d² + h²)

Also, v = dl/dt = 4

Thus;

4(√(d² + h²))/d = dd/dt

4(√(20² + 10²))/20 = dd/dt

dd/dt = 4.47 ft/s

Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

Answer:

Step-by-step explanation:

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

Answer: He bought 20 ice cream bars and 14 popsicle

Step-by-step explanation:

To solve this I used the elimination method, you could use substitution as well

Here are our two equations

x+y=34 Because the total number of ice creams bought must be given to 34 children and no more

2x+5y=128 because that is the cost for each ice cream and the amount he spent

For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68

2x+5y=128 Then we get

3y=60 so

y=20

Now we can go back to the first equation and plug in y.

x+20=34

  -20  -20

x=14

So he bought 14 popsicles and 20 ice cream bars.

Answer:

Step-by-step explanation:

8) [tex]\sqrt{x^{3}} = x\sqrt{x}[/tex]

9) [tex]\sqrt[3]{3^{6} } = 3^{2} = 9[/tex]

10) [tex](x^{\frac{1}{2} } )^{9} = x^{2} \sqrt{x}[/tex]

11) [tex]7^{2} = 49[/tex]

12) [tex]27^{\frac{2}{3} } = \sqrt[3]{27} ^{2} = 9[/tex]

13) 9x[tex]\sqrt[3]{3xy^{2} }[/tex]

Answer:

hope this help

Step-by-step explanation:

Answer:

90

51

10

Step-by-step explanation:

9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

Answer:

7x the answer i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}[/tex]

Step-by-step explanation:

We are asked to check is -2 is the solution of the following equation.

[tex]2-x= 4x+3[/tex]

We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.

[tex]2- (-2) = 4(-2)+3[/tex]

Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Let's start with the left side.

[tex]2+2= 4(-2)+3 \\[/tex]

[tex]4= 4(-2)+3[/tex]

Now solve the right side. Remember to multiply first.

[tex]4= -8+3[/tex]

[tex]4= -5[/tex]

[tex]4\neq -5[/tex]

4 is not equal to -5, so -2 is not the solution for this equation.