Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year.A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:dt/dQ= ?B. Sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. Assume that initially (t=0) there are no leaves on the ground.What is the initial quantity of leaves? Q(0)= ?What is the equilibrium level? Qeq= ?

Answer:

16.25 acres

Step-by-step explanation:

If corn is 1/4 of the land and we have 65 acres, we merely multiply 1/4 to 65.

You get 16.25 acres.

Answer:

16.25acres

Step-by-step explanation:

65/4=16.25 or 16 and 1/4

Answer:

a = 30

Step-by-step explanation:

a/ 50 = 3/5

Using cross products

a*5 = 50 *3

5a = 150

Divide each side by 5

5a/5 = 150/5

a = 30

Answer:

[tex]a =30[/tex]

Step-by-step explanation:

[tex] \frac{a}{50} = \frac{3}{5} [/tex]

[tex]use \: \: \: cross \: \: multiple[/tex]

[tex]5a = 50 \times 3 \\ 5a = 150 \\ \frac{5a}{5} = \frac{150}{5} \\ a = 30[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

36 Units.

Step-by-step explanation:

In the diagram attached, K, M, P and R are points of tangency.

Theorem: Tangents to a circle from the same point are equal.

By the theorem above,

LK=LM=6 Units

NM=NP=2 Units

QP=QR=7 Units

JR=JK=3 Units

Therefore:

JL=JK+KL=3+6=9 Units

LN=LM+LN=6+2=8 Units

NQ=NP+PQ=2+7=9 Units

QJ=QR+RJ=7+3=10 Units

Therefore, the perimeter of the polygon JLNQ =9+8+9+10

=36 Units.

Note: The second diagram shows the theorem already applied.

Answer:

17.52

Step-by-step explanation:

literally 11.6 x 1.51 and then round to hundredth place

Answer:

the anwser is in the text

Step-by-step explanation:

Answer: pls mark me brainiest

Step-by-step explanation:

I am very sure that the answer is V≈351.86

Answer:

112π

Step-by-step explanation:

Cubic units are units when talking in the 3rd dimension

The volume of a cylinder is πr² x h

find the area of the base first.

since we can write it in terms of π, don't worry about decimals.

The radius is 4.

plug it in, the base's area is 16π. Multiply that by the height, 7.

16(7)π 

112π is the volume

Answer:

If x + 5x = 90, 6x = 90 so x = 15, 5x = 75.

Answer: x= 15, 5x=75

Step-by-step explanation:

x=15                                      

x+5x=90

Add similar elements

6x=90

6x/6=90/6

x=15

5x=75

x=15

5x=15x5

15x5=75

Answer:

option b

Step-by-step explanation:

b i did it on edge

Step-by-step explanation:

idk what is the order of those mesretments. but its 2*s of every 2 opposite rectangles (2*s1+2s2+2s3) that s1 is height*length s2 is length*width and s3 is height*width

Answer:

2,210,000 different schedules

Step-by-step explanation:

Cory needs to have an equal number of piano sonatas from J. S. Bach, Haydn, and Wagner.

Since he is setting up a schedule of 9 piano sonatas to be played, he needs:

We then calculate how many different schedules are possible using combination.

Number of possible Schedules

[tex]=$ ^5C_3$ \times ^{52}C_3$ \times ^5C_3\\=10 \times 22100 \times 10\\$=2210000 ways[/tex]

There are 2,210,000 different possible schedules.

Answer:

a) y=4x-3

Step-by-step explanation:

Find the slope by comparing the values within one column. If you subtract 1 from -3, you'll get the value of 4. You then notice that each time, the value increases by 4. Since the y= column is increasing by one, the value therefore remains constant because 4 divided by 1 is always 4.

Now, to find the coefficient, just look at where the y value is 0. Whatever number x is when the value is 0, that will be your coefficient because it is the y-intercept (the initial starting value); in this case -3

Answer:

A

Step-by-step explanation:

First, calculate the slope by doing rise over run.

We can do this between the first 2 points:

[tex]\frac{4}{1}[/tex] = 4

The slope is positive 4, and the y-intercept is (0, -3)

The equation is A, y = 4x - 3

Answer:

0.37

Step-by-step explanation:

As shown in table,

The probability of the fruit is orange is P(A) = 0.3

The probability of the fruit is organic is P(B)

The probability of the fruit is orange and organic is P(A⋂B) = 0.11

=> The probability that a randomly selected orange is organic is calculated by applying the conditional probability formula:

P(B|A) =P(A⋂B)/P(A) = 0.11/0.3 = 0.37

=> Option D is correct

Hope this helps!

Answer:

x = 19

Step-by-step explanation:

In the attached file

Answer:

  see below

Step-by-step explanation:

A relation is "direct variation" if it can be written in the form ...

   y = kx

for some constant k. That value can be found from any line* in a table that has direct variation:

  k = y/x

_____

* A table with direct variation may have the entry (x, y) = (0, 0). That table entry cannot be used to find the value of k. If either x or y is zero, the other must be also if the variation is direct.

Answer:

first 3

Step-by-step explanation:

tell me if u need an explanation

Answer:

Step-by-step explanation:

Consider the sets A and B

(A − (A ∩ B)) ∩ (B − (A ∩ B))

= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) by the set difference law

= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) by De Morgan's law

= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} by the distributive law

= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} by complementation

= {A ∩ Bc} ∩ {B ∩ Ac} by identity law

= (A ∩ Ac) ∩ (B ∩ Ac) by the associative law

= ∅ ∩ ∅ by complementation

= ∅ by the universal bound law

Therefore,  (A − (A ∩ B)) ∩ (B − (A ∩ B)) = ∅

Answer:

Considere los conjuntos A y B

(A − (A ∩ B)) ∩ (B − (A ∩ B))

= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) por la ley de diferencia establecida

= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) por la ley de De Morgan

= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} por la ley distributiva

= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} complementando

= {A ∩ Bc} ∩ {B ∩ Ac} por ley de identidad

= (A ∩ Ac) ∩ (B ∩ Ac) por la ley asociativa

= ∅ ∩ ∅ complementando

= ∅ por la ley universal consolidada

Step-by-step explanation:

Answer:

X=80

Y=9

Z=7

Step-by-step explanation:

Given Information:

Sample size = n = 25

Mean age of client = 46 years

Standard deviation of age of client = 5 years

Confidence level = 95%

Required Information:

Width of the confidence interval = ?

Answer:

[tex]$ \text {width of CI } = \pm 2.064 $\\\\[/tex]

Step-by-step explanation:

The width for the true mean client age is given by

[tex]$ \text {width of CI } =\pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $[/tex]

Where n is the sample size, s is the standard deviation of age of client, and [tex]t_{\alpha/2}[/tex] is the t-score corresponding to 95% confidence level.

The t-score corresponding to 95% confidence level is

Significance level = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 25 - 1 = 24

From the t-table at α = 0.025 and DF = 24

t-score = 2.064

[tex]$ \text {width of CI } = \pm (2.064)(\frac{5}{\sqrt{25} } ) $\\\\[/tex]

[tex]$ \text {width of CI } =\pm (2.064)(\frac{5}{5 } ) $\\\\[/tex]

[tex]$ \text {width of CI } = \pm (2.064)(1) $\\\\[/tex]

[tex]$ \text {width of CI } = \pm 2.064 $\\\\[/tex]

Therefore, width of the 95% confidence Interval for the true mean client age is approximately ±2.064.

Bonus:

The corresponding 95% confidence interval is given by

[tex]$ \text {Confidence Interval } = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $[/tex]

Where x_bar is the mean client age

[tex]$ \text {Confidence Interval } = 46 \pm 2.064 $[/tex]

[tex]$ \text {Confidence Interval } = (43.936, 48.064) $[/tex]

[tex]$ \text {Confidence Interval } = (44, 48) $[/tex]

Which means that we are 95% sure that the true mean client age is within the range of (44, 48) years.

Answer:

-5x^4

Step-by-step explanation:

Cube root of -125 is -5

Cube root of n^12 is n^4

Answer:

3 x (-125n^12)^1/2

Step-by-step explanation:

Answer:

Mauna Kea has from the base that is to say the deepest 10 km of height that is to say 10,000 m which is equivalent to being higher than Mount Everest.jj

Step-by-step explanation:

 The main reason why we could say that Mauna Kea is the highest mountain, even surpassing Mount Everest, is because of its altitude if we compare them we see the difference; for example Mauna Kea from its base that is to say from the deepest the ocean measures 10,000 m of altitude, on the other hand the Mount Everest has an altitude of 8848 meters (29,029 ft) above sea level, that is to say from its base it measures 8848 m altitude.

Step-by-step explanation:

4y + 6 = 16

you can find y (meters)

then replace y value in every side of this shape

then plus all line you will receive the perimeter

Answer:

  £123,000

Step-by-step explanation:

Their combined income is ...

  £18,500 +22,500 = £41,000

They can borrow 3 times this amount, or ...

  3 × £41,000 = £123,000

__

Comment on this transaction

The required deposit is 5% of 130,000 = 6,500, which is more than their savings. After this down payment is made, the remaining value is £123,500, which exceeds their borrowing power. It appears that Emma and Max need to find a house with a lower price.

Answer:

[tex]\ S=\sqrt{\dfrac{3V}{H}}}[/tex]

Step-by-step explanation:

The opposite operation of squaring is taking the square root.

[tex]\ S=\sqrt{\dfrac{3V}{H}}}[/tex]

We know that the denominator of a fractional power is the index of the corresponding root:

[tex]\displaystyle x^\frac{1}{n}=\sqrt[n]{x}[/tex]

For n=2, we don't usually write the index in the root symbol:

[tex]x^{\frac{1}{2}}=\sqrt{x}[/tex]

In the case of this problem, ...

[tex](S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}[/tex]

Answer:

Step-by-step explanation:

first you have to see itis an arithmetic or geometric sequence.

then find common difference(for A.P) or common ratio (for G.P)

c.d .=an-an-1

c.r. =an/an-1

1.G.P.

2. A.P

3.G.P

3,5,25/3,125/9,...

c.r.=5/3

or (25/3)/5=25/(3*5)=5/3

or 125/9÷25/3=125/9×3/25=(125×3)/(9×25)=5/3

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that [tex]x = 2y[/tex]

Kayte earns $3 more per hour than Austin.

This means that [tex]y = z + 3[/tex]

As a group, they earn $41 per hour.

This means that [tex]x + y + z = 41[/tex]

What is Austin's hourly wage?​

This is z.

[tex]x + y + z = 41[/tex]

[tex]y = z + 3[/tex] and [tex]x = 2y[/tex], so [tex]x = 2(z + 3) = 2z + 6[/tex]

[tex]x + y + z = 41[/tex]

[tex]2z + 6 + z + 3 + z = 41[/tex]

[tex]4z + 9 = 41[/tex]

[tex]4z = 32[/tex]

[tex]z = \frac{32}{4}[/tex]

[tex]z = 8[/tex]

Austin's hourly wage is $8.

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

We can write this problem as a system of linear equations.

We define T: Tara's hourly wage, A: Austin's hourly wage and K: Kayte's hourly wage.

Then, if Tara earns twice as much per hour as Kayte, we have:

[tex]T=2K[/tex]

If Kayte earns $3 more per hour than Austin, we have:

[tex]K=A+3[/tex]

And if they earn $41 per hour as a group, we know:

[tex]T+K+A=41[/tex]

We can use all equations to replace in the third one, as:

[tex]T+K+A=41\\\\(2K)+K+A=41\\\\3K+A=41\\\\3(A+3)+A=41\\\\3A+9+A=41\\\\4A=41-9=32\\\\A=32/4=8[/tex]

Austin's hourly wage is $8.

Answer:

The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.

Step-by-step explanation:

We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.

A random sample of sixty-five 16-ounce beverage cans are selected

Let [tex]\bar X[/tex] = sample mean amount of a beverage

The z-score probability distribution for the sample mean is given by;

                          Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean amount of a beverage = 16.18 ounces

           [tex]\sigma[/tex] = standard deviation = 0.4 ounces

           n = sample of 16-ounce beverage cans = 65

Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P([tex]\bar X[/tex] < 16.1 ounces)

   P([tex]\bar X[/tex] < 16.1 ounces) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{16.1-16.18}{\frac{0.4}{\sqrt{65} } }[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)

                                                    = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.

Answer:

[tex]P(t)=M+Ce^{-kt}[/tex]

Step-by-step explanation:

Given the differential model

[tex]\dfrac{dP}{dt}=k[M-P(t)][/tex]

We are required to solve the equation for P(t).

[tex]\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration[/tex]

[tex]Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}[/tex]

Answer:

0 and  -1

Step-by-step explanation:

Hello,

[tex]x^3+2x^2+x = x(x^2+2x+1)=x(x+1)^2[/tex]

so the roots are

0 and -1 (to get x+1=0 )

do not hesitate if you need further explanation

hope this helps

Answer:

It's actually X = 0, X = - 1, with multiplicity 2, Option D, on Edge2020

Step-by-step explanation:

I just did it on edge :)

Answer:

  15 cm

Step-by-step explanation:

7 cm taller than 8 cm is 15 cm tall.

Dee is 15 cm tall.

Answer:

Dee's height is

[tex]1665cm[/tex]

Step-by-step explanation:

[tex]jo = 888cm \\ dee = 777cm \: \: \: taller \: \: \: than \: \: jo \\ [/tex]

So

[tex]dee = 888 + 777 \\ = 1665cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(a)[tex]E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}[/tex]

(b) [tex]E^c \cap G =\{ \}[/tex]

Step-by-step explanation:

The sample space of two dice rolled is given below:

[tex]\{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5,6)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)\}[/tex]

For Event E (The sum is even), the outcomes are:

[tex](1, 1), (1, 3), (1, 5),(2, 2), (2, 4), (2, 6)\\(3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6)\\(5, 1),(5, 3), (5, 5), (6, 2), (6, 4), (6,6)[/tex]

For Event F (Rolling at least one six), the outcomes are:

[tex](1, 6), (2, 6), (3, 6), (4, 6),(5,6),(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)[/tex]

For Event G (The sum is eight), the outcomes are:

[tex](2, 6), (3, 5),(4, 4), (5, 3),(6, 2)[/tex]

(a)[tex]E \cap F[/tex]

Therefore:

[tex]E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}[/tex]

(b)[tex]E^c \cap G[/tex]

E is the event that the sum is even

Therefore: [tex]E^c$ is the event that the sum is odd.[/tex]

Since G is the event that the sum is eight( which is even), the intersection of the complement of E and G will be empty.

Therefore:

[tex]E^c \cap G =\{ \}[/tex]

Answer:

??????

Step-by-step explanation: