Which is a solution of the equation?
2x - y = 0
(1,2) (3) (3,-1) (2,-4)

Let:

Rf = Remus frogs

Jf = Julias frogs

If Remus gives a half of his frogs to Julia, what will the ratio of Julia's frogs to Remus frogs be ? so:

Therefore, the ratio will be:

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Given:

Sample space be S = 1, 2 ,3 , 4, 5, 6.

The outcomes are equally likely.

To find:

The probability of the event E ="an even number".

Solution:

We have,

Sample space is S = 1, 2 ,3 , 4, 5, 6.

So, the total number of outcomes is 6.

E ="an even number".

E = {2,4,6}

So, the total number of favorable outcomes is 3.

The probability of the event E is

\(P(E)=\dfrac{Favorable outcomes}{Total outcomes}\)

\(P(E)=\dfrac{3}{6}\)

\(P(E)=\dfrac{1}{2}\)

\(P(E)=0.5\)

Therefore, the probability of the event E is 0.5.

The objective of increasing the proportion of adolescents receiving comprehensive, evidence-based sexual education is a crucial step in promoting the health and well-being of the next generation of Americans.

Healthy People 2030 is a national initiative that sets objectives to improve the health of Americans. One of the objectives in the domain of "much" is to increase the proportion of adolescents receiving comprehensive, evidence-based sexual education.

In mathematical terms, this objective can be expressed as increasing the ratio of adolescents who receive comprehensive, evidence-based sexual education to the total number of adolescents in a given population. The domain of "much" refers to the scope of this objective, which is to have a significant impact on the sexual health of adolescents nationwide.

By increasing the proportion of adolescents who receive comprehensive, evidence-based sexual education, Healthy People 2030 aims to improve outcomes related to sexual health, such as reducing unintended pregnancies, sexually transmitted infections, and sexual violence. This objective recognizes the importance of education in promoting healthy behaviors and empowering young people to make informed decisions about their sexual health.

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Triangle ABC is similar to triangle ADE by AA test of similarity

Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.

here, we have,

There are different types of similarity test by which we can prove the similarity of triangles.

We are given that BC is parallel to Line DE

As the lines are parallel the respective angle are corresponding angles

hence Angle D = Angle B

And Angle E = Angle C

And both triangle have angle A as common angle

By AA test of similarity we can say that the two triangles are similar

Hence by AA test similarity the two triangles are similar

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Answer: No, 6 boxes will give you 288 penicils.

Step-by-step explanation: 1 box is 48 penicils, so if use this to the other boxes (4x48) we get 192. Now with six boxes (6x48) we get 288.

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:

A = x^2 + 9x - 36.  This factors into A = (x + 12)(x - 3).  We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.

Note that if x = 3 the area becomes zero.  So:  x must be greater than 3, so that the (x - 3) factor is positive.

Example:  If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.  

Answer:

C

Step-by-step explanation:

Four right angles eliminates trapezoids.

Four right angles also eliminates any triangle

General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.

The answer is rectangles and squares.

Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The four columns of exra5 are linearly independent, and they span the entire R4 space, so they form a basis for R4.

Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The columns of exra5 must be linearly independent, which means that no linear combination of them can equal the zero vector. Furthermore, the columns of exra5 must span the entire R4 space, meaning that any vector in R4 can be expressed as a linear combination of the columns of exra5. This is equivalent to saying that the columns of exra5 can be used to generate the entire vector space R4. If these two conditions are met, then the columns of exra5 form a basis for R4. In this case, both conditions are met, so the columns of exra5 do form a basis for R4. Moreover, since there are four columns, the basis for R4 is called a basis of size four. The special property of a basis of size four is that it is the smallest possible basis for R4, meaning that no other set of vectors can form a basis for R4 with fewer than four vectors.

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Answer: false

Step-by-step explanation:

Answer:False

Step-by-step explanation: none of them can make a triangle

Expected number of free throws in 80 attempts:

Best player = 64

2nd best player = 60

3rd best player = 52

We have to given that,

The probability that best player makes free throw, p1 = 0.8

The probability that second-best player makes free throw, p2 = 0.75

The probability that third-best player makes free throw, p3 = 0.65

Here, Total number of attempts made in free throws, n = 80.

Since, The estimated number of free throws that any player makes is defined by:

E ( Xi ) = n × pi

Where, Xi = Player rank

 pi = Player rank probability

Hence, Expected value for best player making the free throws would be:

E (X1) = n × p1

         = 80 x 0.8

         = 64 free throws

Expected value for second-best player making the free throws would be:

E (X2) = n*p2

= 80 x 0.75

= 60 free throws

Expected value for third-best player making the free throws would be:

E (X3) = n*p3

= 80  x 0.65

= 52 free throws

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To work out the mean cost of a present in pounds (£), we need to divide the total cost of the presents (£80.52) by the number of presents (4).

The calculation will look like this:

£80.52 ÷ 4 = £20.13

Therefore, the mean cost of a present in pounds (£) is £20.13.

Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Thus, the sample proportions we get would be close to the true proportion of 0.18, with most of the sample proportions falling within a range of 0.151 to 0.209.

The variation of sample proportions from the true proportion can be measured using the standard deviation of the sampling distribution.

In this case, since the population proportion is known (0.18) and the sample size is large (250), we can use the normal approximation to the binomial distribution.

The standard deviation of the sampling distribution of sample proportions is given by the formula sqrt(p*(1-p)/n), where p is the population proportion and n is the sample size. Plugging in the values, we get sqrt(0.18*(1-0.18)/250) = 0.029.

Therefore, we can expect the sample proportions to vary from the true proportion by about 0.029 on average.

In other words, we can be fairly confident that if we take many random samples of 250 high school juniors, the sample proportions we get would be close to the true proportion of 0.18, with most of the sample proportions falling within a range of 0.151 to 0.209.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Answer:

My answer will be 3.

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i done it and it c

Doreen Short was looking over the repayment schedule for a loan of $40,000, the final payment and amount saved for the options are mathematically given as

Generally, the equation for the interest  is mathematically given as

I= balance*percentage/12

Therefore

I=17,565. 74*0.09/12

I=131.7

The final payment

F=I+B

F=131.7+17,565. 74

F=17697.5

Amount saved

AS=19*995.40 -17697.5

AS=1215.12

b) For the loan is paid off with payment 36 with a loan balance of $12,285. 66

I= balance*percentage/12

Therefore

I= 12,285. 66*0.09/12I92.142

I=92.142

Final payment

F=I+B

F=92.142+12377.80

F=12377.80

Amount saved

AS=13*995.40-12377.80

AS=$562.40

c) For the loan is paid off with payment 48 with a previous balance of $988. 9

I= balance*percentage/12

I= 988.09*0.09/12

I=7.41

Therefore

F=7.41* +988.09

F=$995.40

The Amount saved is zero

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Answer:

a=3

Step-by-step explanation:

if you are solving for a

In the Poincaré disk model, the angle bisector of an angle ZBAB' can be constructed as follows:

1. Draw the chords AB and A'B' in the Poincaré disk, which represent the lines forming the angle ZBAB'.

2. Find the midpoints M and M' of the chords AB and A'B', respectively. These midpoints can be obtained by finding the intersection points of the chords with the unit circle.

3. Draw a straight line passing through the center O of the unit circle and the midpoints M and M'. This line represents the angle bisector t.

4. Extend the line t from the unit circle to the boundary of the Poincaré disk.

The resulting line t is the angle bisector of the angle ZBAB' in the Poincaré disk model.

Please note that constructing the angle bisector in the Poincaré disk model involves geometric construction techniques and may require tools such as a compass and straightedge.

The complete question is:

Construct the angle bisector t of a Poincaré angle ∠BAB' in the Poincaré disk model, where A≠0. (hint: there are two ways to do this, one of which involves picking B and B' so that AB≅ AB' in the Poincaré disk)

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Answer:

so he would not be right, since they equal the same number.

Step-by-step explanation:

70x20%, or 70x.20=14

and

20x70%, or 20x.70=14.

please rate and mark as brainlest.

Answer:

Both are equall. 14 =14.....

Step-by-step explanation:

mark me brainly

The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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a) This system has infinitely many solutions, but 6 is not a linear combination of the columns of A, which are [2, 3] and [4, 6].

b) The null space of the matrix, which is the set of all solutions to the homogeneous equation Ax = 0, is a subspace of dimension 3 - 2 = 1, which is a line through the origin.

c) The set {ū, v} is linearly independent, but the set {ü, v, w} is linearly dependent, as w can be written as a linear combination of ū and v (w = ū + v).

a). (1.5pts) This statement is possibly false. It is not always true that if the linear system Ax = b has infinitely many solutions, then 6 is a linear combination of the columns of A. A concrete counterexample would be the linear system:
2x + 3y = 6
4x + 6y = 12
This system has infinitely many solutions, but 6 is not a linear combination of the columns of A, which are [2, 3] and [4, 6].

b). (1.5pts) This statement is always true. If a 3x3 matrix A has rank 2, then Null(A) is a plane through the origin. This is because the rank of a matrix is the number of linearly independent columns in the matrix, and if the rank is 2, then there are 2 linearly independent columns in the matrix. This means that the null space of the matrix, which is the set of all solutions to the homogeneous equation Ax = 0, is a subspace of dimension 3 - 2 = 1, which is a line through the origin.

c). (1.5pts) This statement is possibly false. It is not always true that if {ū, v} is linearly dependent then so is {ü, v, w}. A concrete counterexample would be the vectors ū = [1, 0], v = [0, 1], and w = [1, 1]. The set {ū, v} is linearly independent, but the set {ü, v, w} is linearly dependent, as w can be written as a linear combination of ū and v (w = ū + v).

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False. A sample is a subset of all possible data values for a given subject under consideration, not the set of all possible data values.

What is sample space?

The set of all potential outcomes for an experiment is referred to as the sample space S in a random experiment. The results of a random experiment, also known as sample points, are incompatible (i.e., they cannot occur simultaneously).

A sample is a portion of a larger set of data that is selected for analysis or representation. It is not the entire set of all possible data values for a given subject, but rather a smaller subset chosen for the purpose of study.

Sampling is important because it allows researchers to study and make inferences about a larger population with a smaller, more manageable amount of data.

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Answer:

5-0 =15 by using shuvam theorY

Answer:

I don't know the answer to this question

Answer:

3 feet

Step-by-step explanation:

Circumference of circle = d · π

Circumference = 3π

Let'solve

3π = d · π

d = 3 feet

So, the diameter is 3 feet.