Alfreda has buckets that are the same size, but all have different amounts of water in them. The first bucket is , , the second is. , and the third is l. Alfreda wants to transfer water between the buckets so that each of the buckets will contain the same amount of water. After the transfer, each of the buckets will be what fraction full?

3. Alfreda has 3 buckets that are the same size, but all have different amounts of water in them. The first bucket is 5/12 full, , the second is 3/4 full. , and the third is 1/3 ful l. Alfreda wants to transfer water between the buckets so that each of the 3 buckets will contain the same amount of water. After the transfer, each of the 3 buckets will be what fraction full?

Answer:

students 150

adult 550

Step-by-step explanation:

x + y = 700

5x + 2y = 3050

x = 700 - y

5(700 - y) + 2y = 3050

3500 - 5y + 2y = 3050

-3y + 3500 = 3050

-3y = 3050 - 3500

-3y = -450

y = -450 / -3

y = 150

x = 700 - y

x = 700 - 150

x = 550

Answer:

So, if i understood correctly, it should be a translation and a rotation, followed by a dialation.

Step-by-step explanation:

a. The upper bound on the probability that the center will recycle more than 55,000 cans on a particular day is 90.9%.

b. Chebyshev’s inequality does not provide a useful lower bound on the probability that the center will recycle 40,000 to 60,000 cans on a certain day

a) Markov’s inequality states that for a non-negative random variable X and any constant c > 0, the probability that X is greater than or equal to c is at most the expected value of X divided by c. Mathematically, we have:

P(X >= c) <= E(X) / c

In this case, X is the number of tin cans recycled in a day, and c = 55,000. The expected value of X is 50,000 cans, so we can apply Markov’s inequality:

P(X >= 55,000) <= E(X) / 55,000 = 50,000 / 55,000 = 0.909 or 90.9%

b) Chebyshev’s inequality states that for any random variable X with finite mean mu and variance sigma^2, the probability that X deviates from its mean by some number k standard deviations is at most 1/k^2. Mathematically, we have:

P(|X - mu| >= k sigma) <= 1 / k^2

In this case, mu = 50,000 and sigma^2 = 10,000, so sigma = sqrt(10,000) = 100. We want to find a lower bound on the probability that the center will recycle between 40,000 and 60,000 cans, which is the same as finding an upper bound on the probability that X deviates from its mean by more than 1 standard deviation. Therefore, we set k = 1 in Chebyshev’s inequality:

P(|X - 50,000| >= 100) <= 1 / 1^2 = 1

Therefore, the probability that X deviates from its mean by more than 1 standard deviation is at most 1. This means that the probability that the center will recycle between 40,000 and 60,000 cans is at least:

1 - P(|X - 50,000| >= 100) >= 1 - 1 = 0 or 0%

since it only guarantees that the probability is not zero, but gives us no information about how close to zero it actually is.

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Answer:

10

Step-by-step explanation:

y = 3(5) - 5     multiply 3 and 5

y = 15 - 5        subtract 5 from 15

y = 10              10 is the output

hope this helps!

Answer:

c1) adjacent

c2) not adjacent

c3) adjacent

c4) not adjacent

c5) adjacent

c6) not adjacent

d1) 20°

Complement: 90° - 20° = 80°

Supplement: 180° - 20° = 160°

d2) 77°

Complement: 90° - 77° = 13°

Supplement: 180° - 77° = 103°

d3) 101°

Complement: doesn't have a complement.

Supplement: 180° - 101° = 79°

d4) 90°

Complement: 90° - 90° = 0°

Supplement: 180° - 90° = 90°

d5) 96°

Complement: doesn't have a complement

Supplement: 180° - 96° = 84°

d6) x

Complement: 90° - x

Supplement: 180° - x

d7) y

Complement: 90° - y

Supplement: 180° - y

Answer:

\(\frac{2}{15}\)

Step-by-step explanation:

I hope this helps!

Answer:

6 3/4

Step-by-step explanation:

Answer:

6 3/4

Explanation:

0.75 is the result of dividing 3 by 4, which is the previous point but inversed.

Answer:

B. 68

Step-by-step explanation:

180-112 = 68

just simple angle addition

crossin my fingers and hoping this helps

The measure of the reference angle for a 122° angle is 68°.

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

So we have to find the shortest angle that the X axis make with the angle 112 degree.

112 degree lies on the second quadrant.

We know that,

Sum of the angles along the X axis = 180°

Reference angle of 112 degree = 180° - 112°

                                                   = 68°

Hence the reference angle for 112 degree is 68 degrees.

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The solution to the initial value problem y'' - 5y' + 6y = 0, y(0) = 3, y'(0) = 5 is:

y(x) = (3/2)e^(2x) + (3/2)e^(3x).

The second-order differential equation y'' - 5y' + 6y = 0 is a homogeneous linear differential equation with constant coefficients.

The characteristic equation is r^2 - 5r + 6 = 0, which factors as (r - 2)(r - 3) = 0.

Therefore, the general solution to the differential equation is y(x) = c1e^(2x) + c2e^(3x), where c1 and c2 are constants to be determined.

To find the values of c1 and c2, we can use the initial conditions y(0) = 3 and y'(0) = 5. Substituting x = 0 and y = 3 into the equation y(x) = c1e^(2x) + c2e^(3x), we get:

3 = c1 + c2

To find the value of y'(0), we take the derivative of y(x) with respect to x:

y'(x) = 2c1e^(2x) + 3c2e^(3x)

Substituting x = 0 and y' = 5 into this equation, we get:

5 = 2c1 + 3c2

We now have two equations with two unknowns (c1 and c2). Solving for c1 and c2, we get:

c1 = 3/2

c2 = 3/2

The reason we need two initial conditions (in this case, the value of y at x = 0 and the value of y' at x = 0) is because the general solution to a second-order differential equation contains two arbitrary constants.

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Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

-----------------------------------

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

Answer:

x = 1
y = -3

Step-by-step explanation:

We will take our equation and substitute it, giving us:
6x - (-3x) = 9
Since there are two negatives We make it a positive. 6x + 3x = 9.
9x = 9
x = 1
Then we substitute, we will get 6 - y = 9.
6 = 9 + y
y = -3

We can now check this, substituting we get:
6 - (-3) = 9
6 + 3 = 9
Everything checks out.

You arrange 5 letters in 7893600 ways

From the question, we have the following parameters that can be used in our computation:

Letters to use = 5

Total available letters = 26

The letters are distinct

This means that the letters cannot be repeated

So, we have

First = 26, Second = 25 ....... Fifth = 22

Using the above as a guide, we have the following:

Ways = 26 * 25 * 24 * 23 * 22

Evaluate

Ways = 7893600

Hence, the arrangement is 7893600

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The value of x is 17, y is 2 and length of DF is 20.

Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

For x

DG = GE ( Given )

DG + GE = DE

DE = 2(DG)

DG/DE = 1/2

hence GH/EF = 1/2

By Basic Proportionality Theorem ( BPT )

(x – 3) / 28 = 1/2

after cross multiplication

2(x – 3) = 28

2x – 6 = 28

2x = 34

x = 17

For y

By Basic Proportionality Theorem (BPT) to side DF

DF = 2(DH)

DH/DF = 1/2

(y + 8) / (y + 8 + x – 7) = 1/2

after cross multiplication

2(y + 8) = y + 8 + x – 7

put x = 17

2(y + 8) = y + 8 + 17 – 7

2(y + 8) = y + 18

2y + 16 = y + 18

2y = y + 2

2y – y = 2

y = 2

DF = 2(2+8)

     = 2(10)

     = 20

Hence, x is 17, y is 2 and DF is 20.

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The equation T ( 10 x − 5 ) − ( − 4 x − 5 ) = (10x−5)−(−4x−5).The parentheses indicate that the terms inside them should be evaluated first

The equation in question is ( 10 x − 5 ) − ( − 4 x − 5 ) = (10x−5)−(−4x−5)=?

The parentheses indicate that the terms inside them should be evaluated first. The minus sign in front of the second set of parentheses indicates that the value of this set of parentheses should be subtracted from the value of the first set of parentheses.

The first set of parentheses can be evaluated as 10x minus five. The minus sign in front of the second set of parentheses indicates that the value of this set of parentheses should be subtracted from the value of the first set of parentheses. To evaluate the second set of parentheses, the minus sign must first be removed. It can then be evaluated as 4x minus five.

Subtracting the second set of parentheses from the first set of parentheses, we get 10x minus five minus 4x minus five, which simplifies to 6x minus ten. In simpler terms, ten times x minus five minus four times x minus five equals six times x minus ten.

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Answer:

942 cubic feet

Step-by-step explanation:

Answer:

942.4777961 or 942

Step-by-step explanation:

First find the area of the circle using \pi r^{2} . Radius is half of diameter so the radius is 10.

\pi 10^{2} = 314.1592654

Then multiply the depth to the area of the circle.

314.1592654 x 3 = 942.4777961

Answer:

c

Step-by-step explanation:

b + 12 < 3 ( subtract 12 from both sides )

b < - 9 ← Lola's solution

- 3b > 27

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

b < - 9 ← Jasmine's solution

If Maris is n years old and father is 5 years more than twice her age, then her father is 2n + 5 old

We know that Maris's age is n. Let's start by thinking about her father's age in terms of Maris's age.

We're told that Mariz's father is "5 years more than twice her age". So, we can start with twice Maris's age, which is 2n, and then add 5 to get the father's age.

In other words,

Father's age = 2 × Maris's age + 5

We can simplify this expression by substituting n for Maris's age

Father's age = 2n + 5

Therefore,  Maris's father is 2n + 5 years old.

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Answer:

Its is 1,3,4

Step-by-step explanation:

Mark me brainliest please <3

Answer:

D)  12 1/2 miles

Step-by-step explanation:

you can create a proportion for inches over miles equals inches over miles

(3/4 ÷ 15/2) = (5/4 ÷ m)

cross-multiply to get:

3/4m = 75/8

cross-multiply again:

24x = 300

x = 12 1/2

In other words, the only function that satisfies the equation and the initial condition y(x) = 0 for x > 0 is the constant function y(x) = 0. This means that regardless of the value of x, the solution remains zero, indicating no non-trivial solutions exist for this particular differential equation.

The given differential equation is a second-order linear homogeneous equation with variable coefficients. To solve it, we can assume a solution in the form of a power series and find the recurrence relation for the coefficients.

Let's assume the solution is of the form y(x) = ∑(n=0 to ∞) cₙxⁿ, where cₙ are the coefficients to be determined.

Differentiating y(x) with respect to x, we get:

y'(x) = ∑(n=1 to ∞) n*cₙxⁿ⁻¹

Differentiating y'(x) with respect to x again, we get:

y''(x) = ∑(n=2 to ∞) n*(n-1)*cₙxⁿ⁻²

Substituting these expressions into the given differential equation, we get:

3x²∑(n=2 to ∞) n*(n-1)*cₙxⁿ⁻² - 6x∑(n=1 to ∞) n*cₙxⁿ⁻¹ + ∑(n=0 to ∞) cₙxⁿ = 0

Rearranging terms and combining coefficients, we obtain:

∑(n=0 to ∞) (3n(n-1)cₙxⁿ + 6ncₙxⁿ + cₙxⁿ) = 0

Now, for the equation to hold for all x, each term in the summation must be equal to zero. This gives us the recurrence relation:

3n(n-1)cₙ + 6ncₙ + cₙ = 0

Simplifying the equation, we have:

(3n² + 6n + 1)cₙ = 0

Since the equation must hold for all values of n, the only solution is cₙ = 0 for all n. Therefore, the solution to the given differential equation is y(x) = 0.

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Answer:

1)6.000

2)8.935.600

5)70.000

4)2.509.200

7)6.000

8)9.000

10)5.800

11)6.900.000

13)5.000

14)2.000

16)5.000

17)6.400

Step-by-step explanation:

if you a line on the  numbers you will see it easy

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

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Answer:So you want to divide your fraction 5/3 by your whole number 2, right? You're in the right place. In this simple walkthrough guide, I will show you exactly what you need to do to divide any fraction by a whole number (it's super simple). Keep reading to find out!

The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful!To visualize the question we are trying to solve, let's put 5/3 and 2 side-by-side so it's easier to see:

5

3

÷   2

So here is the incredibly easy way to figure out what 5/3 divided by 2 is. All we need to do here is keep the numerator exactly the same (5) and multiple the denominator by the whole number:

Step-by-step explanation:5

3 x 2

=

5

6

Answer:

3

10

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

For example, dividing a number by 2, is the same as finding half of it.

16

÷

2

=

16

×

1

2

=

8

In this case:

3

5

÷

2

=

3

5

×

1

2

←

there is nothing to cancel

3

10

Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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Answer:

hi

Step-by-step explanation:

Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

Answer:

22 -3 to y axis of 5

Step-by-step explanation:

got it right during math class

Option A and Option F exhibit the congruence between the two triangles.

What are congruence Triangle ?

Two triangles are said to be congruent if they have the same shape and size. In other words, if all the corresponding sides and angles of the two triangles are equal, then they are congruent. The symbol used to represent congruence is ≅.

There are several ways to prove that two triangles are congruent, including the Side-Side-Side (SSS) postulate, the Side-Angle-Side (SAS) postulate, the Angle-Side-Angle (ASA) postulate, and the Hypotenuse-Leg (HL) postulate.

Option A: Reflecting triangle AABC across the x-axis and translating it 1 unit right would result in the same position as triangle DEF. This transformation would preserve the side lengths and angle measures of the original triangle, making the two triangles congruent.

Option F: Reflecting triangle ABC across both the x-axis and y-axis and translating it 1 unit right would result in the same position as triangle DEF. This transformation would preserve the side lengths and angle measures of the original triangle, making the two triangles congruent.

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Answer:

C is correct

Step-by-step explanation: