Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3

Answer:

2x + 3 = 4x + 7

Step-by-step explanation:

\(2x + 3 = 4x + 7\\-2x = 4\\x = -2\)

Answer:

right

Step-by-step explanation:

On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.

Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.

So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.

For more information about Birthday problem visit :

https://brainly.com/question/29757138

#SPJ4

The expression \((3xy^{-3})^{-2}\) without negative exponents is  \(\frac{y^6}{9x^2}\).

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression in exponents \((3xy^{-3})^{-2}\).

Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.

Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).

\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).

\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).

learn more about exponents here :

https://brainly.com/question/5497425

#SPJ1

The rule of the volume of the hemisphere is

r is the radius of it

Since the diameter of the hemisphere is double the radius, then we can find the radius then multiply it by 2 to find it

Since the volume of the hemisphere is 841 cm^3, then

Substitute V by 841

Divide both sides by 2/3pi

Take cube root to both sides

Multiply it by 2 to find the diameter, then round it to the nearest tenth

The diameter of the hemisphere is 14.8 cm

The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

To learn more about Fraction visit :

https://brainly.com/question/16536310

#SPJ4

Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

Answer:

32/4

simplified is 8/1

Step-by-step explanation:

The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

Know more about DNA here:

https://brainly.com/question/16099437

#SPJ11

Answer:

-1.7x - 3

Step-by-step explanation:

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

Know more about Law of Detachment here:

https://brainly.com/question/13270134

#SPJ8

The velocity of the flow in the channel is 1.2fps

The optimum velocity in sewers is approximately 2 feet per second at peak flow, because this velocity normally prevents solids from settling from the lines; however, when the flow reaches the grit channel, the velocity should decrease to about 1 foot per second to permit the heavy inorganic solids to settle.

It takes a float 30 seconds to travel 37 feet in a grit channel.

To find the velocity of the flow in the channel.

We know the formula of velocity of the flow in the channel.

\(Velocity(fps) = \frac{distance traveled(ft)}{time required(seconds)}\)

\(Velocity(fps) = \frac{37 ft}{30 sec}=1.2 fps\)

The calculation below can be used for a single channel or tank or for multiple channels or tanks with the same dimensions and equal flow. If the flow through each unit of the unit dimensions is unequal, the velocity for each channel or tank must be computed individually.

Learn more about Grit's Velocity at:

https://brainly.com/question/31188274

#SPJ4

The given question is incomplete, complete question is:

It takes a float 30 seconds to travel 37 feet in a grit channel. What is the velocity of the flow in the channel?

The equation represented by the table in the right is y = 4x - 3

An equation is used to show the relationship between two or more numbers and variables.

The equation of a linear is given as:

y = mx + b

Where m is the rate of  change and b is the initial value

The table have the pairs (0, -3), (1, 1), (2, 5) and (3, 9).

Using the point (0, -3) and (1, 1):

y - (-3) = [(1 - (-3))/(1 - 0)](x - 0)

y + 3 = 4x

y = 4x - 3

The equation is y = 4x - 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The measure of missing angles are:

<BAT = 40 degree

<AOC = 40

<ADC = 49

As, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment

So, <BAT = 40 degree

Now, The Angle at circumference are half of the angle at the Centre  

So, <AOC = 2 <BAT

<AOC = 2 (20)

<AOC = 40

We know sum of opposite angle of cyclic quadrilateral is 180

So, <ADC + <ABC = 180

<ADC = 180 - 131

<ADC = 49

Learn more about Arc here:

https://brainly.com/question/24096892

#SPJ1

The Reduction in the Price of Computer is $56.25

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term 100% refers to one hundred percent. It is denoted by the sign "%".

Solution:

To solve this problem we need to find 15% of $375

15 * 375 / 100 = 56.25 $

To learn more about Percentage from the given link

https://brainly.com/question/843074

#SPJ4

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

To learn more about minimal of matrix, refer:

https://brainly.com/question/19084291

#SPJ4

Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

The line integral ∫C 1dy + 3dx is computed by integrating the given differential form along the curve C, which is the union of two line segments. To evaluate the line integral, we divide the curve C into two segments: the first segment from (0,0) to (1,-3) and the second segment from (1,-3) to (2,0).

For the first segment, we parameterize the curve as r(t) = (t, -3t) for t ∈ [0, 1]. The differential form 1dy + 3dx becomes dy + 3dx. Substituting the parameterization into the differential form, we get (dy/dt)dt + 3(dx/dt)dt = (-3dt) + 3(dt) = 0.

For the second segment, we parameterize the curve as r(t) = (t, 3t - 3) for t ∈ [1, 2]. Again, substituting the parameterization into the differential form, we get (dy/dt)dt + 3(dx/dt)dt = (3dt) + 3(dt) = 6dt.

Now, we can evaluate the line integral by integrating the respective segments:

∫C 1dy + 3dx = ∫[0,1] 0dt + ∫[1,2] 6dt = 6t |[1,2] = 6(2) - 6(1) = 6.

Therefore, the line integral ∫C 1dy + 3dx along the curve C is equal to 6.

Learn more about differential form here: brainly.com/question/28099315

#SPJ11

The correct order of the radius  \(\sqrt{3} /11 \ , \pi /24 , 3/25 , 9/100\) .

What is decreasing and increasing order?

A set of data is said to be in descending order, often referred to as decreasing order, when it is arranged from highest to lowest or largest to smallest.

The same concepts apply regardless of the type of information you're working with, whether it's letters, dates, sizes of things or any other group of information like numbers or dates.

For instance, arranging a group of numbers in descending order means doing so from biggest to smallest value.

Ascending order, often known as ascending order of importance, is the exact opposite of declining order.

The order of the items is lowest to highest value. The lowest value is placed first in the order, while the highest value is placed last.

The value of \(\sqrt{3}\) = 1.732

so \(\sqrt{3}\) / 11 = 1.732/11

=1732/11000

The value of \(pi\) = 3.14

so \(\pi\) / 24  = 3.14/24

= 314/2400

To know more about ascending descending order, visit:

https://brainly.com/question/14478145

#SPJ4

The five statements and reasons below have proved that Segment AB is congruent to segment DE;

Statement 5; AB ≅ DE

We are Given:

B is between A and C

D is between C and E

C is the midpoint of both segments BD and AE

AB ≅ DE

We want to prove that;

AB ≅ DE

Statement 1; C is the midpoint of BD and AE.

Thus; BC = CD and AC = CE

Reason; because a midpoint divides a segment into 2 equal parts.

Statement 2; AB + BC = AC and CD + DE = CE

Since B is between A and C and D is between C and E, then we can say;

AB + BC = AC

CD + DE = CE

Reason; property of line segment addition

Statement 3; AB + BC = CD + DE

Since AC = CE, then using substitution property of equality on statement 2, we have; AB + BC = CD + DE

Reason; Substitution property of Equality

Statement 4; AB + BC = BC + DE

Since BC = CD, the using substitution property of equality on CD in statement 3, we have; AB + BC = BC + DE.

Reason; Substitution property of Equality

Statement 5; AB ≅ DE

Using subtraction property of equality on statement 4, BC will cancel out to give; AB = DE

Equal segments are congruent and so we can write; AB ≅ DE

Reason; Subtraction property of equality

Read more at; https://brainly.com/question/11494126

Answer:

B = 8 S / 9          8 out of 9 students are boys

4 / 5 B = L         4 out of 5 boys brought their lunch

B = 5 L / 4

5 L / 4 = 8 S / 9            from first equation

L = 32/45 * S         32 boys out 45 students brought their lunch

Answer:

There is no solution.

Step-by-step explanation:

1 ≠ 3

Answer:

750-150=600     So the range is from $600-$750

Step-by-step explanation:

You just subtract the least amount of money it could be from the most amount of money it could be. There's your answer!

Answer:

c) Both values are 5

Step-by-step explanation:

Value of x when it is 5,

→ |5| = 5

Value of x when it is -5,

→ |-5| = 5

Hence, both values are 5.

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

For more information about sample size, refer;

https://brainly.com/question/30528695

#SPJ4

Answer:

a) La pizza tenía 8 porciones.

b) Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones.

f) Véase la imagen adjunta para mayor detalle.

Step-by-step explanation:

Sean \(x\), \(y\), \(z\) las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:

\(x+y+z=1\) (1)

(i) Julián comió 2/8 del total:

\(x = \frac{2}{8}\) (2)

(ii) Juan comió el doble que Julián:

\(z = 2\cdot x\) (3)

(iii) Mica comió la mitad de lo que comió Juan:

\(y = \frac{1}{2}\cdot z\) (4)

Al aplicar (2) en (3), tenemos que Juan comió:

\(z = \frac{4}{8}\)

Y ahora se aplica el resultado anterior a (4):

\(y = \frac{1}{2}\cdot \frac{4}{8}\)

\(y = \frac{2}{8}\)

a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.

b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.

f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.

the correct answer is 21

Answer:

21 (this is given in the simplest form)

There are 64 teams in the sample space. There are 16 teams in the event W. p(W) = 0.25, is the probability that a randomly chosen team is in event W.

Since the teams are divided equally into four regions, there are 16 teams in the event W (assigned to the West region). The probability that a randomly chosen team is in event W, p(W), is the number of teams in event W divided by the total number of teams in the sample space. So, p(W) = 16/64 = 1/4 or 0.25. There are 64 teams in the sample space. There are 16 teams in the event W (since each region has 16 teams). P(W) = 16/64 = 0.25, which is the probability that a randomly chosen team is assigned to the West region.

To learn more about probability visit;

https://brainly.com/question/30034780

#SPJ11

The scores for the four games were 97, 98, 98, and 107.

To find what were her scores for the four games:

We get,

As it is given that, the range is 10 and x is the lowest and y is the highest we can say that:

As we know, her range of scores was 10:

Therefore, the scores for the four games were 97, 98, 98, and 107.

Know more about the range here:

https://brainly.com/question/26098895

#SPJ4

The correct question is given below:
Sue played four games of golf.

For these games, her modal score was 98 and her mean score was 100.

Her range of scores was 10.

What were her scores for the four games?

EDIT: 97, 98, 98, and 100 THROUGH TRIAL AND ERROR

To find the elasticity of demand at a price of $14, we first need to calculate the derivative of the demand function with respect to price:

D'(p) = -3/2√(125-3p)

Then, we can plug in the price of $14 to get:

D'(14) = -3/2√(83)

Next, we need to calculate the demand at the given price:

D(14) = √(125-3(14)) = √(83)

Finally, we can use the formula for elasticity of demand:

E = (p/D) * D'(p)

Where p is the price and D is the demand. Plugging in the values we have calculated, we get:

E = (14/√83) * (-3/2√83) = -21/83

Since the elasticity of demand is negative, we can say that the demand is price inelastic at a price of $14. This means that a change in price will have a relatively small impact on the quantity demanded.
To find the price elasticity of demand, we need to use the formula:

Elasticity of Demand (E) = (% change in quantity demanded) / (% change in price)

For the given demand function D(p) = √(125 - 3p), first we need to find the quantity demanded at the price of $14.

D(14) = √(125 - 3 * 14) = √(125 - 42) = √83

Now we need to find the derivative of the demand function with respect to price (dD/dp):

dD/dp = (1/2) * (125 - 3p)^(-1/2) * (-3)

Next, we will calculate dD/dp at the price of $14:

dD/dp(14) = (1/2) * (83)^(-1/2) * (-3) ≈ -0.165

Now we can calculate the elasticity of demand (E):

E = (dD/dp * p) / D(p) = (-0.165 * 14) / √83 ≈ -0.32

Since the value of the elasticity of demand is -0.32, we would say the demand is inelastic at the price of $14.

Learn more about mathematics here: brainly.com/question/27235369

#SPJ11

The value of the test statistic for this hypothesis test = 1%

Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a population parameter. The methodology employed by the analyst depends on the nature of the data used and the reason for the analysis. Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data.

When a discovery in statistical hypothesis testing is highly improbable to have occurred given the null hypothesis, it is said to have statistical significance.

\(H_{O}\) : Mean of mean = mean of women

\(H_{a}\) : means of men < mean of women

(Left tailed test)

Since population standard deviation is known but sample sizes are small t test is used.

The mean of Men minus Women equals = -5.00

standard error of difference = 2.201

t = 2.2721

\(df\)= 53

p value = 0.0136

since p >0.01 at 1% significance level we fail to reject \(H_{O}\) .

Both means are approximately equal at 1% level of significance.

Therefore,

The value of the test statistic for this hypothesis test = 1%

To learn more about Standard deviation hypothesis test visit :

brainly.com/question/29804367

#SPJ4