One group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house. At which house will they first meet?

Answer:

There are 10,560 yards in 3 mile or miles in 3 yard. Both yards and miles are units of length in the US customary and imperial systems of measurement.

Answer:

3

Step-by-step explanation:

The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.

The subgame perfect Nash equilibrium and complete strategies are as follows:

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The volume of rectangular prism is  0.625 cm^3.

the volume of rectangular prism=w*h*l

w=1.5cm h=1/4 cm l=5/3cm

volume = 1.5*1/4*5/3

=0.625cm^3

The volume of a rectangular prism is  0.625 cm^3.

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The rοοts οf the functiοn are x = -6 and x = -1.

A quadratic equatiοn is a type οf pοlynοmial equatiοn οf the secοnd degree, which can be written in the fοrm:

\(ax^2 + bx + c = 0\)

Where "a", "b", and "c" are cοnstants, and "x" is the variable. The cοefficient "a" must nοt be equal tο zerο, as this wοuld result in a linear equatiοn.

The quadratic equatiοn can be sοlved using the quadratic fοrmula, which is:

x = (-b ± sqrt(b² - 4ac)) / 2a

Tο find the rοοts οf the functiοn, we need tο find the values οf x that make y equal tο zerο since the rοοts οf a functiοn are the values οf x that make the functiοn equal tο zerο.

Sο we set y tο zerο and sοlve fοr x:

0 = (x+6)(x+1)

Using the zerο prοduct prοperty, we knοw that if the prοduct οf twο factοrs is equal tο zerο, then at least οne οf the factοrs must be equal tο zerο.

Sο we set each factοr equal tο zerο and sοlve fοr x:

x + 6 = 0 οr x + 1 = 0

x = -6 οr x = -1

Therefοre, the rοοts οf the functiοn are x = -6 and x = -1.

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Answer: We can use the formula for compound interest to solve this problem:

A = P * (1 + r/n)^(nt)

where:

A = final amount

P = initial amount (what we want to find)

r = annual interest rate as a decimal (2.5% as 0.025)

n = number of times the interest is compounded per year

t = number of years

Plugging in the known values:

640 = P * (1 + 0.025)^(4)

Solving for P:

P = 640 / (1 + 0.025)^(4)

P = $600.28

So Margot invested $600.28 initially.

Step-by-step explanation:

Answer:

Ordered Pair Verification Solution

getachew tafere

Which ordered pair makes both inequalities true? y≤ -x + 1 y > x

(-3,5)

(-2, 2)

(-1, -3)

(0, -1)

The ordered pair (-1, -3) makes both inequalities true.

getachew tafere

A person deposited $5,000 into a bank account and made no other withdrawals or deposits. Each year, 2.7% interest was added to the account.

Write an exponential function for the situation.

Let y be the amount of money in the bank account after t years, where t >= 0.

The exponential function for this situation is:

y = 5000 * (1 + 0.027)^t

This function models the amount of money in the bank account after t years, given the initial deposit of $5,000 and an annual interest rate of 2.7%.

getachew tafere

Margot invests her money in a certificate of deposit that earns 2.5% compounded annually. After 4 years, Margot's investment is worth $640. How much money did Margot invest initially? Round your answer to the nearest cent.

Let's call the initial amount of money Margot invested as x. We can use the formula for compound interest to find x:

x * (1 + 0.025)^4 = 640

Dividing both sides by (1 + 0.025)^4, we get:

x = 640 / (1 + 0.025)^4

Approximating the expression (1 + 0.025)^4, we get:

x = 640 / 1.103822

x = approximately $580.64

So Margot initially invested approximately $580.64.

Step-by-step explanation:

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer:

200 minutes

Step-by-step explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

\(16.95+0.05x=22.95+0.02x\)

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

\(16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x\)

Subtract 0.02x from both sides:

\(0.05x-0.02x=6+0.02x-0.02x\\0.03x=6\)

Divide both sides by 0.03:

\(\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200\)

At 200 minutes, the cost for both plans would be the same.

The differential equation is given as dp/dt = 2√(Pt), with the initial condition P(1) = 3, the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

Step 1: Separate the variables. Move all terms involving P to the left side and all terms involving t to the right side:
(dp/√P) = 2 dt
Step 2: Integrate both sides with respect to their respective variables:
∫(dp/√P) = ∫(2 dt)
Step 3: Evaluate the integrals:
2√P = 2t + C, where C is the constant of integration.
Step 4: Use the initial condition P(1) = 3 to find the value of C: 2√3 = 2(1) + C
C = 2√3 - 2
Step 5: Substitute the value of C back into the equation and solve for P(t): 2√P = 2t + 2√3 - 2
Step 6: Divide both sides by 2: √P = t + √3 - 1
Step 7: Square both sides to get P(t) alone:
P(t) = (t + √3 - 1)^2
So the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

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Answer: -19

Step-by-step explanation:

-8 -6 = -14

-14 - 5 = -19

Answer:

-19

Step-by-step explanation:

(-8)-6+(-5)

-14+(-5)

-19

To find the value of "p" from the polynomial x^2 + 3x + p, if one of the zeroes of the polynomial is 2, we can use the fact that if 2 is a zero of the polynomial, then (x - 2) is a factor of the polynomial.

So, let's divide the polynomial x^2 + 3x + p by (x - 2) using polynomial long division:

___________________

(x - 2) | x^2 + 3x + p

- (x^2 - 2x)

_______________

5x + p

- (5x - 10)

_______________

p + 10

The remainder of the division is p + 10.

Now, since 2 is a zero of the polynomial, the remainder of the division should be zero. Therefore, we can equate the remainder to zero:

p + 10 = 0

Solving for "p", we subtract 10 from both sides:

p = -10

So, the value of "p" is -10.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

2.5x10^4hr

Step-by-step explanation:

11. False

12. False

13.True

14.False

15.False

If matrix A is row equivalent to matrix B, it means that they can be transformed into each other through elementary row operations. While row equivalence preserves the row space of a matrix, it does not necessarily preserve the column space. Therefore, Col A does not always equal Col B.

A linearly independent set in R4 can be at most a basis for R4, not for R¹. R¹ represents a one-dimensional vector space, while R4 represents a four-dimensional vector space. Thus, S cannot be a basis for R¹.

The rank of matrix A is equal to the rank of its transpose, denoted as AT. This property holds for any matrix. Therefore, rank AT = rank A is true.

If matrix A is row equivalent to the identity matrix I, it means that A is invertible but not necessarily diagonalizable. Diagonalizability depends on the eigenvalues and eigenvectors of A, not just row equivalence.

The characteristic polynomial ▲(λ) of matrix A provides information about its eigenvalues. In this case, the characteristic polynomial ▲(λ) = (A − 1)²(A − 2) indicates that A has repeated eigenvalues of 1 and 2, but it does not guarantee diagonalizability. Diagonalizability depends on whether A has a sufficient number of linearly independent eigenvectors corresponding to distinct eigenvalues, which is not indicated by the given characteristic polynomial.

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The mathematical expression  225 ÷ t - 4 = 6.4  cxan be considered to be false .

A mathematical expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division, as well as parentheses and other symbols that follow certain rules and conventions to represent a mathematical relationship or formula.

Given that (225 ÷ t) - 4 = 6.4

(225 ÷ t) =6.4 +4

225/t =10.4

t=225/10.4

=21.63

This implies that the given statement is not true if we could substitute the value of t=21.63 into the given equation , we will not get the answer that was given in the question, which is 6.4

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In this question, we are given a subset "c" of a set "v" with a specific property.

The property states that if both "u" and "v" belong to "c", then the point "1" that lies between "u" and "v" also belongs to "c".

Now, let's assume that "w" is an element of "v". We need to show that there can be at most one point "u" in "c" that is closest to "w".

To prove this, we can use proof by contradiction. Let's assume that there are two points "u1" and "u2" in "c" that are closest to "w".

Since "u1" is closest to "w", the distance between "w" and "u1" must be less than the distance between "w" and any other point "v" in "c". Similarly, the distance between "w" and "u2" must also be less than the distance between "w" and any other point "v" in "c".

Now, consider the point "1" that lies between "u1" and "u2". By the given property of "c", since both "u1" and "u2" belong to "c", the point "1" also belongs to "c".

But this contradicts our assumption that "u1" and "u2" are the closest points to "w". If "1" belongs to "c", then the distance between "w" and "1" would be smaller than the distances between "w" and "u1" and between "w" and "u2". This contradicts our initial assumption.

Therefore, we can conclude that there can be at most one point "u" in "c" that is closest to "w".

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A triangle is a shape used to represent the components of total health. True

Answer:

it is B because the answer is 14 so that why it is B

Answer:

0.76

or

-0.76

hope this helps

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

Answer:

9. y=6x+4

10. y=-1/3x-2

11. y= 2/3x

12. y=-3/2x+2

13. y=2/3x+4/3

14. y=1/2x-3

Step-by-step explanation:

For 9-10, the slope is always x, the y-intercept is the numbers at the end.

11-12: See how much it takes to move up, and then right. That'll be the fraction. Up 2, right 3.

13-14= Graphing cal. from Desmos.

The coordinates of R are (7, -3).

Therefore,

R are (7, -3)

P are (4,-3)

Q are (4,4)

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The sum of the three even positive integers is 18.

A whole number that is greater than zero is what is meant by the term "positive integer." All counting numbers are included in the set of positive integers (that is, the natural numbers).

A set (collection of objects) whose components are numbers is known as a number set. All whole numbers on the number line to the right of zero are included in the set of positive integers. The Z, the superscript asterisk (*), and the subscript plus sign (+) all stand for the set of all positive numbers.

The  Z was chosen because it derives from the German word for numbers and signifies integers in general (positive, negative, and zero) (Zahlen). The plus sign indicates that negative numbers are eliminated, while the asterisk indicates that zero is excluded from the set of integers.

here it is given in the question that,

the product of the first and the third is 8 more than 4 times the second,

then Let x,x+2,x+4

Product of 1st nd 2nd= x*(x+4)

Therefore,

x*(x+4)= 4(x+2)+8

x^2+4x= 4x+8+8

x^2=16

x=4

Three consecutive positive integers is 4,6,8

Sum of three consecutive integers=4+6+8=18

Hence, The sum of the three even positive integers is 18.

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:\(\implies\) perimeter (∆HFM) = HM+FM+HF

:\(\implies\) 51 = 2x+5+x+8+3x+2

:\(\implies\) 51 = 6x+15

:\(\implies\) 36 = 6x

:\(\implies\) x = 6 units.

in ∆HFM,

in ∆KFM,

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Answer:

  AB = 7

  AC = 21

Step-by-step explanation:

Because AD is an angle bisector it divides the triangle into proportional parts. That is ...

  AC/DC = AB/BD

  (28 -AB)/9 = AB/3 . . . . use AC = 28 -AB

  28 -AB = 3AB . . . . . . . . multiply by 9

  28 = 4AB . . . . . . . . add AB

  AB = 28/4 = 7 . . . . divide by 4

  AC = 28 -7 = 21

The lengths AB and AC are 7 and 21, respectively.

_____

Additional comment

The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.

For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.

The fraction of the total amound he paid for the 11 books is 3/13.

According to our question-

Hence , The fraction of the total amound he paid for the 11 books is 3/13.

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The probability of getting four of a kind in a hand of 7 cards is approximately 0.0001813.

To calculate the probability of getting four of a kind in a hand of 7 cards, we can break it down into two steps:

Step 1: Calculate the probability of getting four cards of the same value.

The first card can be any value, so the probability is 1. The second card must match the value of the first card, so the probability is 3/51 (there are 3 remaining cards of the same value out of the remaining 51 cards). The third and fourth cards must also match the same value, so the probabilities are 2/50 and 1/49, respectively.

Step 2: Calculate the probability of getting three different cards for the remaining three cards.

After getting four cards of the same value, there are 48 cards remaining. The first of the remaining three cards can be any value other than the four of a kind, so the probability is 48/48. The second card must be a different value than the first card, so the probability is 36/47. The third card must be different from the first two, so the probability is 24/46.

Multiplying the probabilities from Step 1 and Step 2 together, we get:

(1) × (3/51) × (2/50) × (1/49) × (48/48) × (36/47) × (24/46) = 0.0001813

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According to the information we can infer that the probability that the hand will contain four of a kind in the given card game is approximately 0.0015.

To calculate the probability of obtaining a four of a kind hand, we need to consider the number of ways to get a four of a kind hand divided by the total number of possible hands.

First, let's calculate the number of ways to get a four of a kind hand. We have 13 different card values (Ace, 2, 3, ..., 10, Jack, Queen, King), and for each value, we need to choose 4 cards out of the 4 available in the deck. So, there are 13 ways to choose the four cards of the same value.

Next, we need to calculate the number of ways to choose the remaining 3 cards with different values. We have 12 remaining card values (excluding the one used for the four of a kind), and for each value, we need to choose 1 card out of the 4 available. Therefore, there are 12 * 4 * 4 = 192 ways to choose the remaining 3 cards.

Now, let's calculate the total number of possible hands. In this card game, each player starts with a hand of 2 cards and then draws 5 more, so the total number of possible hands is given by the combination of 7 cards taken from a deck of 52 cards, which is denoted as C(52, 7) = 133,784,560.

Finally, we can calculate the probability by dividing the number of ways to get a four of a kind hand by the total number of possible hands:

So, we can conclude that the probability of obtaining a four of a kind hand in the given card game is approximately 0.0015, rounded to four decimal places.

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Answer:

a

Step-by-step explanation:

2x+3y where it is 2,2 become 4 plus 6 which is 10

Answer:

A

Step-by-step explanation:

Step 1:

Make your equation into y=mx+b format

2x+3y=10 is the same as y=-2/3x+10/3 (10/3 is about 3.33)

Step 2:

Graph your equation

Step 3:

Plot your points and you will see that the only one that works is (2,2)

Hope that helps

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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Answer:

B.

Step-by-step explanation:

The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.

So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.

Hope this helps!

Answer:

32.9 or just round it off and make it 33. both are correct

Step-by-step explanation:

tany=21/32.4

y= tan^-1(21/32.4)

y= 32.9 or 33