An advanced biology student wants to test the effects of a chemical fertilizer versus natural fertilizer, so she plans to divide a rectangular garden in half by running a fence parallel to two of the exterior sides. She has a fixed amount of fencing (36m) and she wants to have fencing around the entire garden in addition to the fence down the middle. Find the maximum area of the natural fertilizer garden.

Answer:

16.38085

Step-by-step explanation:

Answer:

the answer is:   16.38085

Step-by-step explanation:

i have a good calculator

Answer:

In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

First lets prime factorize each number

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

45 = 3 x 3 x 5

GCF = 3    (3 is the only common prime number factor in the 3 numbers)

LCM = 2 x 2 x 2 x 3 x 3 x 5

        = 24 x 3 x 5

        = 72 x 5

        = 360

Happy to help :)

Answer:

12

Step-by-step explanation:

[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]

Answer:

Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

Answer:

 The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

Answer:

25

Step-by-step explanation:

Compare the data and get the answer

Answer:

25

Step-by-step explanation:

Answer:

18162 widgets

Step-by-step explanation:

Given

[tex]C(x)=0.92x+85000[/tex]

[tex]R(x)=5.6x.[/tex]

Required

Determine the price at break even point

At breakeven point, the following relationship exists

[tex]Rx = C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]5.6x = 0.92x +85000[/tex]

Collect Like Terms

[tex]5.6x - 0.92x =85000[/tex]

[tex]4.68x =85000[/tex]

Make x the subject

[tex]x = \frac{85000}{4.68}[/tex]

[tex]x = 18162.3931624[/tex]

[tex]x = 18162[/tex] --- Approximated

Answer:

I'm pretty sure it's A but I could be wrong

Step-by-step explanation:

he spends 9.6 hours sleeping each day! plz mark me the brainliest!

Answer:

root 7 × root 7= root 21

Step-by-step explanation:

root21×root21=21 now 12×21 =252

Answer:

im pretty sure its infinite solutions

Step-by-step explanation:

Answer:AlF3

Step-by-step explanation:

Answer:

43:100

Step-by-step explanation:

this is the simplest form

Answer:

The answer is 100:43

Step-by-step explanation:

Answer:

hello your question has some missing part attached below is the missing part

Average Price of home in my county= $580,400 Mean=640069.371428571 stand error=   20175.166257334

The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874

Critical t= confidence=95% sign= 5%

2.05183052

Answer :

First step : Confidence interval

Second step : Hypothesis test

Third step : perform a Test statistic

Fourth step : Reject null hypothesis

Fifth step : conclusion

Step-by-step explanation:

First step : Confidence interval

attached below

confidence interval ; ( 599068.13, 681069.87 )

Second step : Hypothesis test

attached below

Critical values of t = ± 2.032 ( from table )

Third step : perform a Test statistic

attached below

hence t = 2.958

Fourth step : Reject null hypothesis

we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )

Fifth step : conclusion

Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .

Answer:

d = 4.8 units

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]

~~~~~~~~~~~

( - 3, 2.6 )

( - 3, - 2.2 )

d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units

Answer:

the dimensions of the toy box:

Step-by-step explanation:

x+1=2x

2x-5

90

like terms;

- crossing over becomes + and vice versa

soo 2x-2x +90-5

2x^2 cancels it self out leaving 90-5

=85.

Answer:

1/2

Step-by-step explanation:

2 /  (3/4) = 1/2 * 3/4

             = 3/6

              = 1/2

Answer:2.6 with the 6 repeating

or 2.66666666667

Step-by-step explanation:

i am fast with a calculator.

Answer:

coordinate points

Step-by-step explanation:

variables: a symbol for a value we don't know yet. ex: x or y

numbers: I hope you know what they are cuz i dunno how to describe it ex: 2

coordinate points: a set of numbers that show position on a graph ex: (2,4)

operations: adding, subtracting, multiplying, dividing

Answer:

P=2

Step-by-step explanation:

10-2.5(3.2)=P

By order of operations you would multiply 2.5 and 3.2 together giving you 8.

You would then subtract 10-8 giving you 2.

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}[/tex]

According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

[tex]\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours } [/tex]

Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases

Step-by-step explanation:

[tex]4x + 20 = 3x \\ x = - 20[/tex]

Answer: a.) I take a shoe size 12

              b.) Runner B is 35 m from starting line

Step-by-step explanation:

a) The variable h (height) is in inches, so, first, transform feet in inches:

1 ft = 12 in

5ft = 5.12 = 60 in

My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70

To determine my shoe size:

[tex]s=\frac{1}{10}(70)+5[/tex]

s = 12

For me, who is 5ft 10in tall, my shoe size is 12.

b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:

[tex]x=x_{0}+v.t[/tex]

where

x₀ is initial position

v is speed

t is time

Replacing and solving:

x = 10 + 2.5t

x = 10 + 2.5(10)

x = 35

After 10s, Runner B is 35 meters ahead of the starting line

Answer:

What statements, the statements aren't listed in the question?

Step-by-step explanation:

Answer: 6 cups

Step-by-step explanation:

You need to find a unit rate...

48/2= 1 cup for 24 cookies (unit rate)

144/24=6 so you need to multiply 1 and 24 each by 6

1*6=6

24*6

to get...

6 cups for 144 cookies

Answer:

((c)) man so simple. bye

Answer:

8:4

7:3

Step-by-step explanation:

Answer:

a. [tex]dV = 3x^2\ dx[/tex]

b. See Explanation

Step-by-step explanation:

Given

Shape: Cube

Solving (a); Formula that estimates the change in edge length

The volume (V) of a cube is:

[tex]V = x^3[/tex]

Where

[tex]x = edge\ length[/tex]

The change in volume is got by:

[tex]dV = \frac{d}{dx}(x^3)[/tex]

Differentiate [tex]x^3[/tex]

[tex]dV = 3x^2\ dx[/tex]

Where

[tex]dx = x_2 - x_1[/tex] i.e. change in x

Solving (b):

The initial and final edge lengths are not given.

In order to solve this question, I'll assume that x changes from 5cm to 5.01cm

So, we have:

[tex]x = x_1 = 5cm[/tex]

[tex]x_2 = 5.01cm[/tex]

Substitute these values in [tex]dV = 3x^2\ dx[/tex]

[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]

[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]

[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]

[tex]dV = 075cm^3[/tex]

Answer:

b. No x-intercept y-intercept is (0, -8)

Answer:b

Step-by-step explanation: