I need help with 4 and 5 please

Answer:

130.24 ft²

Step-by-step explanation:

Area rectangle:

Area Semi-Circle:

Area Total:

-Chetan K

By analyzing the population equation we can see that:

Here we have the population equation:

[tex]p(t) = \frac{500}{1 + 4.55e^{-0.5*t}}[/tex]

a) When does the growth rate start to decrease?

The rate of change will be:

[tex]p'(t) = 0.5*\frac{500}{(1 + 4.55e^{-0.5*t})^2}*4.55e^{-0.5*t}[/tex]

Below, you can see the graph of it, and there you can see that for t > 0 the rate always decreases.

b) The initial population is what we get when we evaluate p(t) in t = 0

[tex]p(t) = \frac{500}{1 + 4.55e^{-0.5*0}} = \frac{500}{1 + 4.55} = 91[/tex]

c) What is the maximum population?

It is 500 (asymptotically), which is the value that we get when we take the limit of t to infinity.

d) The population after 2 years is given by:

[tex]p(t) = \frac{500}{1 + 4.55e^{-0.5*2}} = 187[/tex]

So after two years, there will be 187 birds.

If you want to learn more about population models, you can read:

https://brainly.com/question/25630111

Answer:

Are there any options?  If so then, I say C

Step-by-step explanation:

I really hope this helped! °ω°

Answer:

245,008.60

Step-by-step explanation:

3 div/ 450,000 = 150000     7%150000= 10500 10500x20=210000 150000x2 =30000  210000+30000 =245000

Answer:

38 muffins were sold by noon.

Answer:

38 muffins were sold

Step-by-step explanation:

percents can always be turned into fractions so 95% is actually just 0.95, you multiply that to 40 and you get 38, meaning 38 muffins were sold

Lets set up the equation:

p + w = 327  -- equation 1

p - w = 289 -- equation 2

equation 1 + equation 2

2p = 616

p = 308

Thus the plane flies at 308 mph without the wind.

Hope that helps!

Answer:

B

Step-by-step explanation:

The Domain is the X- value so that makes it the domain and you have to order it correctly

Answer:

okay the answer is 15 , 2...

the sum of these numbers is 17 while the product of these number is 30.

The area of the given figure is 30 square units

Let the given image be a trapezium

The formula for calculating the area of a trapezium is expressed as;

A = 0.5(a+b)h

Let

a = 17

b = 3

h = 3

Substitute into the formu;a

A = 0.5(3+17)*3
A =  10(3)

A = 30 square units

Hence the area of the given figure is 30 square units

Learn more on area of trapezium here; https://brainly.com/question/16904048

Answer:

(5k-4)+2=46

(5k-4)+2-2=46-2

5k-4=44

5k-4+4=44+4

5k=48

5k/5=48/5

k=9.6

Answer:

5 cents

Step-by-step explanation:

$5.29 ÷96  = 0.05510416

Answer:

B. equal to; Reflexive Property

Step-by-step explanation:

Any quantity is equal to itself

An example would be

4 + 7 = 4 + 7

or

11 = 11

Answer:

hi

Step-by-step explanation:

hru?

Answer:

37.5mph

Step-by-step explanation:

44m = 44/ 1000 km

1s =11/1500h

44/1500 km : 11/1500h

60km : h

Answer: a+c=27,126

Step-by-step explanation:

Answer: (a-b)-(2x+y)

Step-by-step explanation: The answer for number 18. (The first pair of parentheses are optional.)

Step-by-step explanation:

Proving by Vertex Form:Yes, if we put this equation in vertex form

[tex]a(x - h) {}^{2} + k[/tex]

where h,k is vertex

we can find if it reaches 5.

First we do -b/2a.

[tex] \frac{ - 1}{10} [/tex]

Is a solution, if we plug that in we get

Which gives

[tex]3.95[/tex]

So the vertex form is

[tex]5(x + 0.1) {}^{2} + 3.95[/tex]

Since the graph is facing upwards,because a is positive, the function will pass all values greater than 3.95, and 5 is one of them

Second Way: Watch if you want to see how long is reaches 5 meters.

Set the quadratic equation equal to 5.

[tex]5 {t}^{2} + t + 4 = 5[/tex]

[tex] {5t}^{2} + t - 1 = 0[/tex]

[tex]5 {t}^{2} + t - 1 = 0[/tex]

Do quadratic formula, which is

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

So a is 5 b is 1 and c is -1 so we get

[tex] - 1± \frac{ \sqrt{1 {}^{2} - 4( 5)( - 1)} }{2(5)} [/tex]

[tex] - 1± \frac{ \sqrt{1 + 20} }{10} [/tex]

[tex] - 1± \frac{ \sqrt{21} }{10} [/tex]

[tex] \frac{ - 1}{10} + \frac{ \sqrt{21} }{10} [/tex]

and

[tex] \frac{ - 1}{10} - \frac{ \sqrt{21} }{10} [/tex]

are the solutions but since time is scalar, it can't be negative so qe take the positive solution

[tex] \frac{ - 1}{10} + \frac{ \sqrt{21} }{10} [/tex]

which is approximate 0.358.

So if you wanted to know, it will take 0.36 seconds to reach a height of 5 meters.

Answer:

Step-by-step explanation:

Hint already gives the formulae for the balls' volume as:

Golf Ball Volume V = 4/3 π r^3 ;

V = 4/3 ∙ (3.14) ∙ (2.1)^3

Softball Volume V = 4/3 π r^3 ;

V = 4/3 ∙ (3.14) ∙ (4.2)^3

Note the volume depends on the radius to the power 3.  So for a softball with double the radius of a golf ball, its volume will be 2^3 = 8 times that of the golf ball.

Golf Ball Volume = 4/3 ∙ (3.14) ∙ (2.1)^3 = 38.77 cm^3

Softball Volume = 4/3 ∙ (3.14) ∙ (4.2)^3 = 310.18 cm^3

Golf ball:-

[tex]\\ \rm\Rrightarrow V=4/3\pi (2.1)^3=4/3\pi 9.261=12.35\pi cm^3[/tex]

Soft ball:-

[tex]\\ \rm\Rrightarrow V=4/3\pi (4.2)^3 74.1=98.8\pi cm^3[/tex]

Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{12.35\pi}{98.8\pi}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{8}[/tex]

[tex]\\ \rm\Rrightarrow 1:8[/tex]

Answer:

[tex]\frac{1}{a^{6} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]a^{-6}[/tex] = [tex]\frac{1}{a^{6} }[/tex]

Answer:

Step-by-step explanation:

Given:

y = (-1/3)x +5

Compare the given equation with the general equation of the line:

y = mx+b,

where m=slope and b= y-intercept (where the line intersects the y-axis)

Our slope is m= -1/3, and our y-intercept is b=5

y-intercept is at 5 so we know one point on the line (0,5)

m= -1/3, negative slope means our line will be going down from left to right

m= rise /run = -1/3, so from point (0,5) we go down 1 (rise=-1) and right 3 (run=3) to get to a new point on the line (3, 4)

Draw a line trough the two found points (0,5) and (3,4)

Answer: 4.1

Step-by-step explanation:

Answer:

4 1/10

hope this helps have a good day :)

Answer:

144

Step-by-step explanation:

144/-9=-16 Hope this helps

Answer:

x-12

Step by step explanation:

Here it is given that the area of a parallelogram is given by base * height. And if the area is represented by ,

[tex]\longrightarrow A = x^2-14x+24[/tex]

And the base of the parallelogram is given by,

[tex]\longrightarrow Base = x-2 [/tex]

Substituting the values in the given formula, we have;

[tex]\longrightarrow Area = base \times height [/tex]

[tex]\longrightarrow x^2-14x+24=h(x-2)\\ [/tex]

Divide both sides by (x-2) .

[tex]\longrightarrow h =\dfrac{x^2-14x+24}{x-2}[/tex]

Factorise the term in numerator,

[tex]\longrightarrow h =\dfrac{x^2-12x-2x+24}{x-2}\\[/tex]

[tex]\longrightarrow h =\dfrac{x(x-12)-2(x-12)}{x-2}\\ [/tex]

[tex]\longrightarrow h =\dfrac{(x-2)(x-12)}{x-2} [/tex]

Simplify,

[tex]\longrightarrow \underline{\underline{ height= x-12}} [/tex]

This is the required answer!

Answer:

16

Step-by-step explanation:

there is a differnce of 6 between -3 and +3, so the answer is 6 smaller.

Answer:22

Step-by-step explanation:

Answer:

$241000

Step-by-step explanation:

Use the formula I = Prt

I is interest (what you need to find first), P is principal (200,000), r is rate (4.1%), and t is time (5)

First convert the rate of 4.1% to a decimal by moving the decimal two places left.

4.1%  = 0.041

Next plugin the numbers into the formula and multiply to find the interest.

I = 200000(0.041)(5)

I = 41,000

Finally you need to find the balance. To find the balance, add the interest to the principal.

B = 200000 + 41000

B = 241000

Answer:

y=-4

Step-by-step explanation:

The line is not going up or down only left to right and its on the -4

Answer:

yes she is correct because 1 kilo does equals to 1000000 mg