Mark and joe shared a bag of carrots.if mark ate 0.34 of the bag and joe ate 0.56 of the bag who ate more carrots

Hello there! :)

30*11*11

3,630

Hope this helps!

~Just a determined gal

#CarryOnLearning

\(MysteriousNature\)

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

Answer:

y = -3/4(x+4)

Step-by-step explanation:

The point slope formula is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = -3/4(x - -4)

y = -3/4(x+4)

From online research, the article is;

As days get shorter and colder in the autumn, chlorophyll molecules break down. Leaves quickly lose their green color. Some leaves begin to look yellow or orange because they still contain pigments called carotenoids. One such pigment, carotene, gives carrots their bright-orange color.

But red is special. This brilliant color appears only because the leaves of some plants, including maples, actually produce new pigments, called anthocyanins.

That’s a strange thing for a plant to do without a reason, says Bill Hoch of the University of Wisconsin in Madison. Why? Because it takes a lot of energy to make anthocyanins.

Why red?

To figure out the purpose of the red pigment, Hoch and his coworkers bred mutant plants that can’t make anthocyanins and compared them with plants that do make anthocyanins. They found that plants that can make red pigments continue to absorb nutrients from their leaves long after the mutant plants have stopped.

This study and others suggest that anthocyanins work like a sunscreen. When chlorophyll breaks down, a plant’s leaves become vulnerable to the sun’s harsh rays. By turning red, plants protect themselves from sun damage. They can continue to take nutrients out of their dying leaves. These reserves help the plants stay healthy through the winter.

The more anthocyanins a plant produces, the redder its leaves become. This explains why colors vary from year to year, and even from tree to tree. Stressful conditions, such as drought and disease, often make a season redder.

Now, Hoch is breeding plants for a new set of experiments. He wants to find out whether turning red helps plants survive cold weather.

“There’s a clear correlation between environments that get colder in the fall and the amount of red produced,” he says. “Red maples turn bright red in Wisconsin. In Florida, they don’t turn nearly as bright.”

More protection

Elsewhere, scientists are looking at anthocyanins in other ways. A recent study in Greece, for instance, found that as leaves grow redder, insects eat them less. On the basis of this observation, some scientists argue that red pigments defend a plant against bugs.

Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.

J. Miller

Hoch rejects that theory, but Lee thinks that it might make sense. He points out that red leaves contain less nitrogen than green ones do. “It may actually be that insects avoid red leaves because they’re less nutritious,” Lee says.

However, “it’s pretty confusing at this point,” Lee admits. “People debate back and forth.”

To settle the debate, scientists will need to look at more species under more conditions, Lee says. So, he’s now researching leafy plants rather than trees. He’s especially interested in tropical plants, whose leaves turn red when they’re young rather than old.

Answer:

As seen in the Explanation, different people have given reasons why bright red leaves in the fall help protect the trees in the winter. Thus, there is sufficient evidence to conclude that bright red leaves in the fall help protect the trees in the winter.

Step-by-step explanation:

From the article, we can see that Hoch and his coworkers carried out an experiment on mutants and they discovered that plants that can make red pigments tend to continue absorbing nutrients from their leaves a long time after the mutant plants have stopped.

This study and other believe that plants make anthocyanins which acts as a kind of sunscreen to the plants. They also discovered that by the plants turning red, they protect themselves from sun damage

Also, we see that some scientists in Greece found out that as leaves grow redder, insects eat them less and they argued that red pigments defend a plant against bugs and as such Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.

My Answer: One study said that anthocyanins are pigments that make leaves turn red. And some trees don’t absorb as many nutrients as trees with red leaves. That particular study focused on trees that don’t produce anthocyanins. So i believe there's some evidence, but not a definitive conclusion.

Edmentum Answer: There’s some evidence, but not a definitive conclusion. One study focused on trees that don’t produce anthocyanins. Anthocyanins are pigments that make leaves turn red. The study said that these trees don’t absorb as many nutrients as trees with red leaves.

Another study found that insects are generally not inclined to eat red leaves on trees. There seems to be a trend that suggests that red leaves are important for the trees’ survival in the fall. This trend needs to be validated by conducting more tests.

Step-by-step explanation:

Paraphrased

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

Answer:

Step-by-step explanation:

11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to

Answer:

1/4

Step-by-step explanation:

First, let's compute the 6-point DFT of x = [1, 2, 3, 4, 5, 6]:

\(X[k] = ∑_{n=0}^{5} x[n] exp(-i 2πnk/6)\)

For k = 0:

\(X[0] = ∑_{n=0}^{5} x[n] exp(-i 2πn(0)/6)\\= ∑_{n=0}^{5} x[n]\\= 1 + 2 + 3 + 4 + 5 + 6\\= 21\)

For k = 1:

\(X[1] = ∑_{n=0}^{5} x[n] exp(-i 2πn(1)/6)\\= ∑_{n=0}^{5} x[n] exp(-i πn/3)\\= x[0] + x[1] exp(-i π/3) + x[2] exp(-i 2π/3) + x[3] exp(-i π) + x[4] exp(-i 4π/3) + x[5] exp(-i 5π/3)\\= 1 + 2 exp(-i π/3) + 3 exp(-i 2π/3) + 4 exp(-i π) + 5 exp(-i 4π/3) + 6 exp(-i 5π/3)\)

For k = 2:

X[2] = ∑_{n=0}^{5} x[n] exp(-i 2πn(2)/6)

= ∑_{n=0}^{5} x[n] exp(-i 2πn/3)

= x[0] + x[1] exp(-i 2π/3) + x[2] exp(-i 4π/3) + x[3] exp(-i 2π) + x[4] exp(-i 8π/3) + x[5] exp(-i 10π/3)

= 1 + 2 exp(-i 2π/3) + 3 exp(-i 4π/3) + 4 + 5 exp(-i 8π/3) + 6 exp(-i 10π/3)

For k = 3:

X[3] = ∑_{n=0}^{5} x[n] exp(-i 2πn(3)/6)

= ∑_{n=0}^{5} x[n] exp(-i πn)

= x[0] + x[1] exp(-i π) + x[2] exp(-i 2π) + x[3] exp(-i 3π) + x[4] exp(-i 4π) + x[5] exp(-i 5π)

= 1 - 2 + 3 - 4 + 5 - 6

= -3

For k = 4:

X[4] = ∑_{n=0}^{5} x[n] exp(-i 2πn(4)/6)

= ∑_{n=0}^{5} x[n] exp(-i 4πn/3)

= x[0] + x[1] exp(-i 4π/3) + x[2] exp(-i 8π/3) + x[3] exp(-i 4π) + x

To learn more about   polynomial here

https://brainly.com/question/1496352

#SPJ4

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

a = 525  & b  = 475

525² - 475² = (525 + 475) (525 - 475)

                   =1000 * 50

                   = 50,000

The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

The expression given is:

(525)² - (475)²

The above expression looks similar to the expression (a²- b²).

The simplified form of the expression (a²- b²) is (a+b) (a-b).

So, (525)² - (475)² can be written as:

(525)² - (475)² = (525+475) (525-475)

(525)² - (475)² = 1000 * 50

(525)² - (475)² = 50000

Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

To get more about algebraic identities visit:

https://brainly.com/question/1528309

Answer:

44 campers chose basketball

The principal is $467.69 rupees (rounded to two decimal places).

The concept of simple interest is a type of interest calculation based on a fixed percentage rate applied to an initial amount of money, called the principal, for a specific period of time

To find the principal, we can use the formula:

Total Interest = (Principal x Rate x Time) / 100

Where,

Rate = Annual Rate of Interest

Time = Period in years

Plugging in the given values, we get:

1222 = (Principal x 6.5 x 4) / 100

Simplifying the equation:

1222 = (26 x Principal) / 10

Multiplying both sides by 10/26:

Principal = $467.69

Learn more about simple interest here

brainly.com/question/25845758

#SPJ4

Substitute \(x=e^t\). By the chain rule,

\(\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx}\)

Now \(t=\ln(x)\implies\frac{dt}{dx}=\frac1x\), so

\(\dfrac{dy}{dx} = \dfrac1x \dfrac{dy}{dt} \\\\ ~~~~~~~~ \iff \dfrac{dy}{dt} = x\dfrac{dy}{dx}\)

Differentiate both sides again to recover the second and third derivatives.

\(\dfrac{d^2y}{dx^2} = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \dfrac{d\frac{dy}{dt}}{dx} \\\\ ~~~~~~~~ = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = -\dfrac1{x^2} \dfrac{dy}{dt} + \dfrac1{x^2}\dfrac{d^2y}{dt^2} \\\\ ~~~~~~~~ \iff \dfrac{d^2y}{dt^2} - \dfrac{dy}{dt} = x^2 \dfrac{d^2y}{dx^2}\)

\(\dfrac{d^3y}{dx^3} = \dfrac2{x^3}\dfrac{dy}{dt} - \dfrac1{x^2}\dfrac{d\frac{dy}{dt}}{dx} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\dfrac{d\frac{d^2y}{dt^2}}{dx} \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^2}\left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\left(\dfrac{d\frac{d^2y}{dt^2}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^3} \dfrac{d^2y}{dt^2} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^3}\dfrac{d^3y}{dt^3} \\\\ ~~~~~~~~ \iff \dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt} = x^3 \dfrac{d^3y}{dx^3}\)

The ODE then transforms to a linear one,

\(3\left(\dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt}\right) + 28\left(\dfrac{d^2y}{dt^2} - \dfrac{dy}{dt}\right) + 55\dfrac{dy}{dt} + 9 y = 0\)

or using Lagrange's prime notation,

\(3(y''' - 3y'' + 2y') + 28(y'' - y') + 55y' + 9y = 0\)

\(3y''' + 19y'' + 33y' + 9y = 0\)

The characteristic equation is

\(3r^3 + 19r^2 + 33r + 9r = (r + 3)^2 \left(r + \dfrac13\right) = 0\)

with roots at \(r=-3\) and \(r=-\frac13\), so the general solution is

\(y(t) = C_1 e^{-1/3\,t} + C_2 e^{-3t} + C_3 t e^{-3t}\)

Back in terms of \(x\), we get

\(\boxed{y(x) = C_1 x^{-1/3} + C_2 x^{-3} + C_3 x^{-3}\ln(x)}\)

The Lagrange function F(x, y, λ) is -λ = 2. The extremum is a minimum, and the value of the function at this minimum is 20.

To find the extremum of the function f(x,y) = 2x² + 2y² - 3xy subject to the constraint x + y = 6, we will use the method of Lagrange multipliers.

1. Define the Lagrange function:

  F(x, y, λ) = f(x, y) - λg(x, y) = 2x² + 2y² - 3xy - λ(x + y - 6)

2. Take the partial derivatives of F with respect to x, y, and λ, and set them equal to zero:

  ∂F/∂x = 4x - 3y - λ = 0

  ∂F/∂y = 4y - 3x - λ = 0

  ∂F/∂λ = x + y - 6 = 0

3. Solve the above equations to find the values of x, y, and λ. In this case, we obtain x = 2, y = 4, and λ = -2.

4. The extremum of f(x, y) subject to the constraint is f(2, 4) = 20.

5. To determine whether this extremum is a maximum or minimum, we use the second derivative test. Calculate the Hessian matrix for f(x, y):

  H(f)(x, y) = [4 -3; -3 4]

6. Calculate the determinant of the Hessian matrix: 4(4) - (-3)(-3) = 7, which is positive.

7. Since the determinant is positive and the value of f(2, 4) is greater than the values of f at all points on the boundary of the feasible region, the extremum is a minimum.

Learn more about extremum

https://brainly.com/question/31966196

#SPJ11

Answer:

Step-by-step explanation:

61.13*7.5%=4.58

61.13+4.58=65.71

Answer:

m=8t

Step-by-step explanation:

money raised will equal 8 dollars per ticket sold

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Answer:

x = 929/126

Step-by-step explanation:

12/19(x-22)=38-6x-3

Combine like terms

12/19(x-22)=35-6x

Multiply each side by 19

19* 12/19(x-22)=19*(35-6x)

12( x-22) = 19*(35-6x)

Distribute

12x - 264 = 665 - 114x

Add 114x to each side

12x +114x - 264 = 665 - 114x+114x

126x -264 = 665

Add 264 to each side

126x-264+264 = 665+264

126x = 929

Divide each side by 126

126x/126 = 929/126

x = 929/126

Answer:

Answer: x= 929 /126

Step-by-step explanation:

12 /19 (x−22)=38−6x−3

( 12 19 )(x)+( 12 19 )(−22)=38+−6x+−3(Distribute)

12 19 x+ −264 19 =38+−6x+−3 12 19 x+ −264 19 =(−6x)+(38+−3)

(Combine Like Terms)

12 19 x+ -264 19 =−6x+35 12 19 x+ −264 19 =−6x+35

Step 2: Add 6x to both sides.

12 19 x+ −264 19 +6x=−6x+35+6x 126 19 x+ -264 19 =35

Step 3: Add 264/19 to both sides.

126 19 x+ −264 19 + 264 19 =35+ 264 19 126 19

x= 929 /19

Step 4: Multiply both sides by 19/126.

( 19 126 )*( 126 19 x)=( 19 126 )*( 929 19 )

x= 929 /126

Answer:

0

Step-by-step explanation:

0 is a whole number but not a natural number because it does not have a positive or negative value.

Answer: 0

Step-by-step explanation:0 is a whole number but not a natural number because it does not have a positive or negative value.

We know that function f(x) is given by

where the slope is the coefficient of the variable x, that is, the slope,m, is

Since g(x) is given by

we have that

where the slope is equal to 6, in other words

Therefore, the slope of the graph of g(x) is 6 times the slope of the graph of f(x).

Since the y-intercept of f(x) is zero, then the y-intercept of g(x) is zero too. Then, the answer is: the y-intercept does not change.

Answer:

y=84

Step-by-step explanation:

12*7 = 84

The smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

The nullity of a matrix is the dimension of its null space, which represents the set of vectors that satisfy the equation A * x = 0, where A is the matrix and x is a vector.

The nullity of a matrix can range from 0 to the number of columns in the matrix. In this case, since A is a 3 x 8 matrix, the minimum possible value of nullity(A) is 0, indicating that the null space is trivial and contains only the zero vector. This occurs when the matrix is full rank, meaning that its columns are linearly independent.

On the other hand, the maximum possible value of nullity(A) is 8, which would occur if the matrix has rank 0. In this case, all the columns of the matrix are linearly dependent, and the null space spans the entire vector space of size 8.

Therefore, the smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

Learn more about nullity and rank of matrices here: brainly.com/question/31051373

#SPJ11

The probability that the sample mean will be between 295 and 305 can be determined using the Central Limit Theorem and the properties of the normal distribution.

According to the Central Limit Theorem, for a large sample size (n ≥ 30), the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution. In this case, since the sample size is 64, we can assume that the sample mean will follow a normal distribution.

To find the probability that the sample mean will be between 295 and 305, we need to standardize the sample mean using the formula z = (x - μ) / (σ / sqrt(n)), where x is the given range (295 to 305), μ is the population mean (300), σ is the population standard deviation (12), and n is the sample size (64).

By calculating the z-scores for the lower and upper limits of the range and referring to the standard normal distribution table, we can find the corresponding probabilities. The probability can be calculated by subtracting the cumulative probability corresponding to the lower limit from the cumulative probability corresponding to the upper limit.

Learn more about Central Limit Theorem here: brainly.com/question/898534

#SPJ11

Answer:

  -4/17

Step-by-step explanation:

You want the slope of the line described by the equation 20x +85y = 120.

Putting the equation in slope-intercept form by solving for y gives ...

  20x +85y = 120

  85y = -20x +120

  y = -20/85x +120/85

  y = -4/17x +24/17

The slope is the coefficient of x: -4/17.

The rate of change is -4/17.

From the given graph, we can conclude that at a time of 15, the position is 8m; At a time of the fourth tic on the x-axis, the position is 20.25 m

From the given distance time graph, we can see that the y-axis is represented by position in meters while x-axis is represented by time taken.

A) Tracing x = 3 tic, we can get see that the time is at x = 3 * 5 = 15 s

B) Tracing the fourth tic mark on the graph, we can see that y = 2.25 = 2.25 * 9 = 20.25 m

C) Now, when t = 15 seconds, we can see that it will be the third tic on the x-axis and as such at the third tic,

(15 * 1.75)/3 = 8 m

Thus, we can conclude that at a time of 15, the position is 8m; At a time of the fourth tic on the x-axis, the position is 20.25 m

Read more about to give distance time graph at; https://brainly.com/question/13877898

#SPJ1

Answer:

\(\left \{ {{y=-2x+1} \atop {4x+2y=-1}} \right.\\\\<=> \left \{ {{y=-2x+1} \atop {4x+2(-2x+1)=-1}} \right\\\\<=> \left \{ {{y=-2x+1} \atop {4x-4x+2=-1}} \right. \\\\<=> \left \{ {{y=-2x+1} \atop {2=-1}} \right. .\)

=> no solution

Step-by-step explanation:

Answer:

Hello!

Im pretty sure the answer is no solution

Answer:

fx+gx=3x^3-2x^2+10x-12

Step-by-step explanation:

The value of the (f + g)(x) will be (f + g)(x) = 3x³ − 2x² + 10x − 12.

Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

f(x) = 3x³ − 2x² + 4x − 5

g(x) = 6x − 7

Then the value of the (f + g)(x) will be

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 3x³ − 2x² + 4x − 5 + 6x − 7

(f + g)(x) = 3x³ − 2x² + 10x − 12

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

A game where pursuing dominant strategies results in noncooperation that leaves everyone worse off is called a "prisoner's dilemma."

A prisoner's dilemma is a decision-making paradox wherein two individuals working in their very own self-interest do not generate the best solution.

Some key features regarding the prisoner's dilemma are-

To know more about the prisoner's dilemma, here

https://brainly.com/question/22597804

#SPJ4