A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable to find the cost of the jeans

Answers

Answer 1

Answer:

n=75 pair of shoes

n-75=35 equation

n=35+75=110

cost of jeans=110


Related Questions

Translate to algebra numbers, the difference of a number times 3 and 6 equals 9.

Answers

Answer:

The equation is ×=-3

Step-by-step explanation:

Let x be the number

Difference between a number tines 3 and 6 is 9

3x-6x=9

-3x=9

x=-3

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The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Complete the table based on the given domain

Answers

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

Which is the function?

The function is defined by:

[tex]y = -\frac{2}{3}x + 7[/tex]

Hence, when x = -12:

[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]

When x = -6:

[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]

When x = 3:

[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]

When x = 15:

[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]

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Suppose the risk-free rate is 3.2 percent and the market portfolio has an expected return of 9.9 percent. the market portfolio has a variance of .0282. portfolio z has a correlation coefficient with the market of .18 and a variance of .3185. according to the capital asset pricing model, what is the expected return on portfolio z?

Answers

Beta = Correlation x (Variance of Z)^0.5 / (Variance of Market)^0.5

Beta = 0.18 x (0.3185)^0.5 / (0.0282)^0.5

Beta = 0.604927

CAPM equation:

Expected return = Risk free rate + Beta x (Market return - Risk free rate)

Expected return = 3.2% + 0.604927 x (9.9% - 3.2%)

Expected return = 7.25% is the answer.

Portfolio return refers to the return or loss realized on an investment portfolio that includes multiple types of investments. The portfolio is intended to provide returns based on the defined objectives of the investment strategy and the risk tolerance of the type of investor covered by the portfolio.

The basic formula for expected return is to multiply the weight of each asset in the portfolio by the expected return and then add up all these numbers. In other words, the expected return of a portfolio is a weighted average of the returns of the individual components.

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A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.

Answers

Answer: about 260 Lb

Step-by-step explanation:

The two polygons are similar. Find the values of x and y.

Answers

Answer: [tex]x=11, y=9[/tex]

Step-by-step explanation:

Corresponding sides of similar figures are proportional, so:

[tex]\frac{x-2}{6}=\frac{15}{10}\\\\\frac{x-2}{6}=\frac{3}{2}\\\\x-2=9\\\\x=11[/tex]

[tex]\frac{y+3}{8}=\frac{15}{10}\\\\\frac{y+3}{8}=\frac{3}{2}\\\\y+3=12\\\\y=9[/tex]

find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6

Answers

Answer:

{-14,-26}

Step-by-step explanation:

lx+20l=6

So x+20 is either 6 or -6

x=6-20=-14

x=-6-20=-26

Select the correct equation.
The focus and directrix of a parabola are shown. What is the equation of the parabola?

Answers

Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]

Answer: UR WELCOME

Step-by-step explanation: ANSWER ON EDMENTUM

The Renaissance and the Reformation are often described as eras that had many great advancements. In your opinion, what were the most important changes and advancements that occurred

Answers

It's common to hear people say that the Renaissance and Reformation saw numerous significant developments.

Why was Reformation important to the Renaissance?While the Reformation paved the way for the division of religion, the Renaissance paved the way for growth in art and architecture. The main distinction between the Renaissance and the Reformation is this.

What impact did the Renaissance have on the Reformation?

According to Palmer, the intellectual activities of the Renaissance stimulated the market for books, inspired people to read more, and inspired them to consider how to alter the present, all of which contributed to the Reformation. Rereading the Bible was one of them, as Luther did.

Why was the Renaissance important?

The Renaissance period cultivated a new change in art, knowledge, and culture.

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jordan bought a radio for $120.He paid for it with 2 coins and $5 bills.If there were half as many coins as bills, how many $2 coins were there and how many $5 bills were there

Answers

There are 20 $5 bills and 10 $2 coins.

How to find the number of $2 coins and $5 coins using equation?

He bought a radio for $120. He paid for it with 2 coins and $5 bills.

let

the number of $5 bills = x

the number of $2 coins = y

Therefore,

y = 1 / 2 x

2y + 5x = 120

2(1  /2 x) + 5x = 120

x + 5x = 120

6x = 120

x = 120 / 6

x = 20

y = 1 / 2 × 20

y = 10

Therefore, there are 20 $5 bills and 10 $2 coins.

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Solve the equation 2x^3-5x^2+x+2=0 given that 2 is a zero of f(x)= 2x^3-5x^2+x+2

Answers

The polynomial equation [tex]2x^{3} - 5 x^{2} + x + 2 = 0[/tex] given that 2 is zero of

f(x) = [tex]2x^{3} - 5 x^{2} + x +2[/tex]

According to the question,

f(x)  [tex]=2x^{3} - 5 x^{2} + x + 2[/tex]

[tex]f(2)= 2(2)^{3} - 5 (2)^{2} + 2 + 2 \\= 2(8) - 5(4) +4\\= 16 - 20 + 4\\= -4 + 4\\= 0.[/tex]

Hence, the polynomial equation [tex]2x^{3} - 5 x^{2} + x + 2 = 0[/tex] given that 2 is zero of f(x)  [tex]=2x^{3} - 5 x^{2} + x + 2[/tex].

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A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?

Answers

At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

The shape of the pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

How to calculate the time?

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −32 + 150 − 1200, where x is the amount he charges per tree.

1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?

Answers

Answer:

Addition form: x = 75 + √3 (675 − P) / 3

or

Subtract form: x = 75 − √3 (675 − P) / 3

Perform the indicated equation ​

Answers

Answer:

1

Step-by-step explanation:

When dividing fractions i use the method KFC(keep flip change) :

Keep the first fraction :

[tex]\frac{14a^{2} }{10b^{2} }[/tex]

Flip the second fraction :

[tex]\frac{15b^{2} }{21a^{2} }[/tex]

Change the function :

÷ → ×

Now write your new equation :

[tex]\frac{14a^{2} }{10b^{2} }[/tex] ×  [tex]\frac{15b^{2} }{21a^{2} }[/tex]

Now multiply the numerators together and the denominators together :

14a² × 15b²  = 210a²b²

10b² × 21a² = 210a²b²

Now make this into a fraction again :

210a²b² / 210a²b²

Anything divided by itself is always 1 so :

210a²b² / 210a²b² = 1

Hope this helped and have a good day

Answer: 1

Explanation:

> to divide by a fraction multiply the reciprocal of it.

14a² 15b²
—— x ------
10b² 21a²

> cancel out the common factor of 2.

7a² 15b²
—— x ------
5b² 21a²

> cancel out the common factor of a² and b².

7 15
—— x ------
5 21

> cancel out the common factor of 3.

7 5
—— x ------
5 7

> cancel out your greatest common factor.

= 1.


Three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museums. at which museum is the entrance fee proportional to the number of visitors?


a.

museum a

b.

museum b

c.

museum c

d.

museum a and museum b

Answers

The entrance fee is proportional to the number of visitors at A)museum a.

In arithmetic, two sequences of numbers, often experimental statistics, are proportional or at once proportional if their corresponding factors have a regular ratio, that's called the coefficient of proportionality or proportionality consistent.

The definition of proportional is something that has an incredibly correct dating of length or that is appropriate. An example of something proportional is a woman's tiny toes to her quick stature. An instance of something proportional is the quantity of pay a worker receives for the hours that they installed.

While something is proportional to something else, it does no longer suggest the values are equal, simply that they trade with admiration for each other. The regular of proportionality serves as a multiplier.

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Answer:

Museum C

Step-by-step explanation:

If you divide them all (like 3/4) you get .75

m is inversely proportional to the square of (p-1).
When p = 4, m = 5.
Find m when p = 6.

Answers

Answer:

9/5

Step-by-step explanation:

First we have to find the constant k

m = k/(p-1)^2  (p-1)^ goes on the bottom of the fraction because of the inverse.

5 = k/(4-1)^2

5 = k/3^2

5 = k/9  Multiply both side by 9

45 = k  We know can use this constant to solve our problem

m = 45/(6-1)^2

m = 45/5^

m = 45/24

m = 9/5

A grocery store sells a bad of 4 oranges for $1.04. how much would it cost for 11 oranges?

Answers

If a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.

Given that a grocery store sells a bag of 4 oranges for $1.04 means revenue is $1.04 with no profits.

We have to find the cost of 11 oranges. We have assumed that there are no profits as we are require to find cost.  But there is huge difference between cost and profits.

We know that average cost is total cost divided by number of items.

Cost of 4 oranges=$1.04

cost of 1 orange=1.04/4

=$0.26 per orange

Cost of 11 oranges=0.26*11

=$2,86.

Hence if a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.

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For a right triangle with one leg = 3.24 cm and a hypotenuse = 7.16 cm, find the length of the missing leg

Answers

Answer:

[tex]a=\sqrt{40.768}[/tex]

Step-by-step explanation:

Given a leg and a hypotenuse we can find the third side by substituting the known values using Pythagorean theorem, let the unknown be a.

[tex]a^2+3.24^2=7.16^2[/tex]

Now all we must do is solve for a:

[tex]a^2+3.24^2=7.16^2\\a^2+10.4976=51.2656\\a^2=40.768\\a=\sqrt{40.768}[/tex]

30 times 4 times the ten power of three

Answers

Answer [tex]=7085760[/tex]

Step-by-step explanation:

Use order of operations and evaluate the exponent first

[tex]30*4*3^{10}[/tex]

[tex]30*4(59049)[/tex]

[tex]30*236192[/tex]

[tex]=7085760[/tex]

Answer: 1920

Step-by-step explanation:

4x4x4=64

64x30=1920

HELP HELP HELP HELP
HELP HELP HELP HELP

Answers

Answer: [tex]y=-\frac{1}{2} x-3.5[/tex]

Step-by-step explanation:

find the slope:

[tex]\frac{y2-y1}{x2-x1}=\frac{-4+2}{1+3} =\frac{-2}{4} =-\frac{1}{2}[/tex]

Now our equation looks like:

[tex]y=-\frac{1}{2} x+b[/tex]

To solve for b, plug in one of the coordinates

[tex]-4=-\frac{1}{2} (1)+b[/tex]

[tex]-4=-\frac{1}{2} +b[/tex]

[tex]b=-3.5[/tex]

Put our equation together to get y = -1/2x-3.5

Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) cos 2x

Answers

Let [tex]y=\cos(2x)[/tex], with first two derivatives

[tex]Dy = -2\sin(2x)[/tex]

[tex]D^2y = -4\cos(2x)[/tex]

Consider the linear ODE

[tex]aD^2y + bDy + cy = 0[/tex]

Substitute [tex]y[/tex] and its derivatives and solve for the unknown coefficients [tex]a,b,c[/tex].

[tex]-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0[/tex]

[tex]\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}[/tex]

[tex]\implies b=0 \text{ and } c= 4a[/tex]

Then the minimal ODE with this solution is

[tex]aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}[/tex]

What is the focus of a parabola with a standard form of y = 1/4x^2 - x - 1?


Include an explicit reasoning, just giving an answer won’t be helpful

Answers

Answer:

(2, -1).

Step-by-step explanation:

y = 1/4x^2 - x - 1

First convert to vertex form:

y = 1/4(x^2 - 4x) - 1

y = 1/4[(x - 2)^2 - 4] - 1

y =  1/4(x - 2)^2 - 2

The formula for the focus of the parabola y = a(x - h)^2 + k is (h, k+1/4a)

So here it is:

(2, -2+1/ 4*1/4)

=  (2, -1).

Translate the following into an algebraic expression:
22 decreased by y%

Answers

Answer:22-0.22y

Step-by-step explanation: we have to decrease 22 by y%

we need to calculate what is y% of 22. y% of 22 simply means y% into 22 that is y% x 22

= 0.01(y) x 22

= 0.22y

= 22 - 0.22y

7. A kids furniture warehouse ships small tables and chairs in certain combinations to consumers in the United States. The weight of 3 tables and 5 chairs is 62.5lbs and the weight of 3 tables and 2 chairs is 52lbs. Create and solve a system of equations to find out how much each table and chair weighs.

Answers

The weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.

Simultaneous equation

Let

Weight of tables = xWeight of chairs = yCost of 3 tables and 5 chairs is 62.5lbsCost of 3 tables and 2 chairs is 52lbs

3x + 5y = 62.5

3x + 2y = 52

Subtract the equation to eliminate x

5y - 2y = 62.5 - 52

3y = 10.5

y = 10.5/3

y = 3.5 lbs

Substitute y = 3.5 into

3x + 2y = 52

3x + 2(3.5) = 52

3x + 7 = 52

3x = 52 - 7

3x = 45

x = 45/3

x = 15 lbs

Therefore, the weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.

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System of Linear Programming:
z=-3x + 5y
x+y> -22
x-y-4
x - y ≤ 2
Minimum value of z:

Answers

The minimum value of z is -12.

Given that the system of linear programming

z=-3x+5y

x+y≥-22

x-y≥-4

x-y≤2

Firstly, we will convert the given constraints into equality as

x+y=-22

x-y=-4

x-y=2

Now, we will take the equation x+y=-22 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y is

0+y=-22

y=-22

If y=0 then x=-22

So, the points lie on the line x+y=-22 is (0,-22) and (-22,0).

Further, we will take the equation x-y=-4 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=4

If y=0 then x=-4

So, the points lie on the line x-y=-4 is (0,4) and (-4,0).

Furthermore, we will take the equation x-y=2 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=-2

If y=0 then x=2

So, the points lie on the line x-y=2 is (0,-2) and (2,0).

now, we will find the feasible region of the given constraints as shown in figure.

We will find that each constraint will contain origin or not by substituting (0,0), we get

0+0≥-22 containing origin

0-0≥-4 containing origin

0-0≤2 containing origin

From the graph we can see that the minimum value of x is -13 and minimum value of y is -12.

z=-3x+5y

z=-3x+3y+2y

z=-3(x-y)+2y

minmum value of x-y from the given constraints is

-4≤x-y≤2

From here minimum value of x-y is -4

So, z=-3(-4)+2y

z=12+2y

For the minimum value of z the value of y should be minimum.

From the graph we can see the minimum value of y=-12

So, z=12+2(-12)

z=12-24

z=-12

Hence, the minimum value of z for the system of Linear Programming:

z=-3x + 5y, x+y≥-22, x-y≥-4, x - y ≤ 2 is -12.

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A walking path across a park is represented by the equation y=-3x - 3. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 6). Identify the equation that represents the new path.
OA. y=-3x-6
O B. y=x+7
OC. y=3x+15
O D. y=-x+5
166
10
MAR
FREN
10-
10-
10

Answers

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The general structure form of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.

The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.

m = 1/3

x = -3

y = 6

y = mx + b                                  <----- Slope-intercept form

6 = (-3)(1/3) + b                           <----- Insert values

6 = -1 + b                                    <----- Multiply -3 and 1/3

7 = b                                           <----- Add 1 to both sides

Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.

y = (1/3)x + 7

Y=1/3x + 7 is the correct answer

Linda is filling the mold above with water and freezing it for an ice project. If a = 8 cm and b = 7 cm, what will be the volume of the frozen figure?

Answers

The volume of the frozen figure is 736 cm³

Volume of a prism

From the question, we are to determine the volume of the frozen figure

In the given diagram,

The volume of the frozen figure = a³ + 1/2(a²b)

From the given information,

a = 8 cm

b = 7 cm

∴ Volume of the frozen figure = 8³ + 1/2(8² ×7)

Volume of the frozen figure = 512 + 1/2(448)

Volume of the frozen figure = 512 + 224

Volume of the frozen figure = 736 cm³

Hence, the volume of the frozen figure is 736 cm³

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determine the slope of the line

Answers

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x²?
O g(x)=-9(x + 1)²-7
Og(x) = 4(x-3)² +1
O g(x)=-3(x-4)²-6
Og(x)= 8(x-3)²-5

Answers

Answer:

Step-by-step explanation:

Discussion

A: incorrect. the minus turns the parabola upside down and you would get a maximum, not a minimum.

B: incorrect. The + 1 moves the parabola upwards not downwards.

C: incorrect. The - 3 turns the parabola upside down. You get a maximum, not a minimum.

D: correct. The parabola moves right (x - 3)^2 which anti intuitive, but it is correct. - 5 moves the parabola down. +8 the plus makes a minimum.

How long must a ladder be to reach the top of a 12-foot wall if the bottom of the ladder is placed 3 feet from the base of the wall

Answers

Answer: 13 feet

Step-by-step explanation:

Answer:

12.37 ft

Step-by-step explanation:

Hypotenuse(c): the ladder

Cathetus: the wall (a=12) and the floor (b=3)

Equation:

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]c^{2} =(12)^{2}+ (3)^{2} =144+9[/tex]

[tex]c^{2} =153[/tex]

[tex]c=\sqrt{153}[/tex]

[tex]c=12.37[/tex]

The ladder is 12.37 feet long

Hope this helps

Find 20% of 150

A. 20
B. 130
C. 120
D. 30

Answers

Calculate percentage of a number

For this, multiply 150 × .20 = 30

Therefore, 20% of 150 is 30.

So, the correct option is "D".

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i walked to the falls at a speed of 3 miles per hour. i returned by horseback at a speed of 20 miles per hour. the roundtrip took 5 hours and 45 minutes. how many miles is it to the falls? Why are some constellation and stars visible all year but others are only visible during specific times of the year? The current forward price of oil in one year is $100. If the high and low state prices of oil in one year are $122.14 and $81.87, respectively, then the risk-neutral probability (p) is _____ 10) A ladder is leaning against a vertical wall, making an angle of 70 degrees with the ground and whose distance from the base of the ladder to the wall is 10. 3 feet. Find, to the nearest tenth foot, the length of the ladder as little as how many grams of essential amino acids postexercise can result in dramatic elevations in protein synthesis? what is the nurse's primary role in relation to sexually transmitted disease? 1. [7] True / False: Determine if the following statements are true or false, and explain your reasoning for statements you identify as false. If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then ...(a) [1+1] we can then conclude that all the means are different from one another.(b) [1] the standardized variability between groups is higher than the standardized variability within groups.(c) [1+1]the pairwise analysis will identify at least one pair of means that are significantly since there are four groups.(d) [1+1] the appropriate to be used in pairwise comparisons is 0.05 / 4 = 0.0125 since there are four groups. draw a reasonable reaction mechanism (include all non-zero formal charges on the appropriate atom) for the synthesis of 1,1-diphenylethanol using the curved arrow formalism starting from bromobenzene Select the scenarios in which genetic drift plays a major role. U The frequency of black marks on rabbits with white fur increases after males, for multiple generations, preferentially mate with all marked females in a population A random mutation in allele G provides a survival advantage for finches in a harsh winter climate and becomes more prominent in the population over time. A hurricane wipes out the majority of the population of native iguanas on an island. Over several generations, allele P is lost, as most of the remaining iguanas are homozygous for the p allele. A group of settlers from a large population inhabit a new land. Some settlers have different autosomal recessive diseases, and the frequency of recessive alleles increases generations later. Allele m, at a locus involved in color-blindness, increases in frequency in a population because the mm genotype provides resistance to neuropathy. O carcers contact us privacy policy terms of use Consider continuous bivariate random variables, X and Y, with the following joint PDF (where c is a constant): FXY(x,y)={xcy1x2,0y10otherwiseCompute P(X1.25,Y0.75). What was the main reason so few children went to school during the Progressive Era? while hydrogen, helium, water, and ammonia can produce the white coloration of jupiter's zones, the brownish color of the belts requires more complex chemistry. when accounting for indirect (lifecycle) emissions, such as those related to turbine construction, wind energy releases about the same amount of greenhouse gases into the atmosphere as coal energy. Kera is investigating how nitrogen runoff from organically fertilized comfields is affecting the local streams and takes. The focus of her study is: Select only ONE answer choice. Energy cycling Population ecology Trophic levels Nutrient cycling Use the Integral Test to determine whether the series is convergent or divergent. [infinity] ne^-3nn = 1 Evaluate the following integral. [infinity] xe3x dx1 Interpret Data Do the data in this map supportthe hypothesis that the inactive mines are thesource of water pollution in this area? Explain. give the value(s) of for which the matrix a will be singular.A=| 1 1 5 | | 0 1 | | 0 4 |a. = {1,6}b. = {-4, -1}c. = {-1,6}d. = {-2,0}e. = {2}f. none of the above A 7 Liter container will hold about 12 g of which of the following gases at 0C and I atm? 3des takes three 64-bit keys for an overall key length of ____ bits. Place the following steps in correlation analysis in the order that makes the most sense1. make scatter diagram2. calculate a correlation coefficient3. draw a least squares fit line