After pouring 4.8 liters of water into a bucket, the bucket contains 14.3 liters. Write an equation to represent the situation.​

The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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Answer:

The length of one leg of this right triangle is 4/√2 = 2√2 cm.

The total surface area of the remaining solid is 443.14cm2

A three-dimensional object's surface area is the sum of all of its faces. Real- world applications of the concept of surface areas include wrapping, painting, and eventually building things to achieve the best possible design.

Here,

Given:

h = 15, r = 8cm

Slant height of cone

1 = r2+h2 = (8)2 + (15)2 = 17

Total Surface Area = Curved Surface area of Cylinder + Curved Surface area of Conical Part + Area of Circular

=2arh+arl+πr2

=2(3.14)(8) (1.5) + (3.14) (8) (17) + (3.14)(17)2 =443.14cm2

Therefore , the solution of the given problem of surface area comes out to be 443.14cm2.

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Therefore , the solution of the given problem of equation comes out to be  x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

If n is a negative number and 5 + x = n, then x must be less than -5.

This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.

However,

if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.

Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

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Answer:

40

Step-by-step explanation:

34+39+40+47=160

160/4=40

Hope this helps :)

\(\\ \rm\rightarrowtail Mean=\dfrac{\sum n}{n}\)

\(\\ \rm\rightarrowtail Mean=\dfrac{34+39+40+47}{4}\)

\(\\ \rm\rightarrowtail Mean=\dfrac{160}{4}\)

\(\\ \rm\rightarrowtail Mean=40\)

Answer:

1/13

Step-by-step explanation:

Knowing that:

In a deck of card half of the deck of card are red: 1/2  

Also means 52/2 = 26

There are 2 red 10 in a deck of card.

Solve:

Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.

Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.

GCD (or HCF) of 2 and 26 is 2.

Therefore, divide both by 2.

2/2 = 1

26/2 = 13

Hence, we can see that the simplify form is 1/13.

As a result, the probability of getting a red 10 is 1/13.

~lenvy~

Answer:

36 cubic meters

Step-by-step explanation:

Formula for volume of a prism:

length * width * height = 6 * 2 * 3 = 36

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Answer:

approximately $737.88.

Step-by-step explanation:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate

n = Total number of payments (number of months)

Monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075

Total number of payments = 6 years * 12 months/year = 72 months

M = 45000 * (0.0075 * (1 + 0.0075)^72) / ((1 + 0.0075)^72 - 1)

M ≈ $737.88 (rounded to the nearest cent)

x=180°-(102°+43°)=180°-145°=35°

With continuous compounding, the value of the investment

a) after 2 years would be approximately $1,640.14,

b) after 4 years it would be approximately $1,795.24, and

c) after 12 years it would be approximately $2,572.63.

Let's calculate the value of the investment after different time periods:

(a) 2 years:

Using the formula, we have:

A = $1500 * \(e^{0.045 \times 2}\)

Calculating this using a calculator or computer program, we find:

A ≈ $1500 * \(e^{0.09}\) ≈ $1500 * 1.093429 ≈ $1,640.14.

After 2 years, the investment would be approximately $1,640.14.

(b) 4 years:

Similarly, using the formula, we have:

A = $1500 * \(e^{0.045 * 4}\)

Calculating this, we find:

A ≈ $1500 * \(e^{0.18}\) ≈ $1500 * 1.196826 ≈ $1,795.24.

After 4 years, the investment would be approximately $1,795.24.

(c) 12 years:

Once again, using the formula, we have:

A = $1500 * \(e^{0.045 \times 12}\).

Calculating this, we find:

A ≈ $1500 * \(e^{0.54}\) ≈ $1500 * 1.715084 ≈ $2,572.63.

After 12 years, the investment would be approximately $2,572.63.

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Answer:

variable h = number of hours that a bike is rented

constant 15 = the initial price

variable term 0.75h = the cost of renting a bike for h hours without the initial price of $15

Step-by-step explanation:

You are told that Cycle City charged an initial price of $15 plus $0.75 per hour.

Therefore, the constant 15 represents the initial price.

0.75 represents the hourly charge for bike rentals, so h represents the number of hours that a bike is rented.

Therefore, 0.75h represents the cost of renting a bike for h hours without the initial price of $15

Answer:

(6.25\(\pi\) + 25)cm is the exact answer

44.625 cm is an approximation

Step-by-step explanation:

c = circumference (perimeter)

d = diameter

C = \(\frac{\pi d}{4}\)

C = \(\frac{25\pi }{4}\) = 6.25\(\pi\) This is the exact answer

That would be the curved part of the pi.  Then we need to add the 2 sides which would be \(\frac{25}{2}\) + \(\frac{25}{2}\) = \(\frac{50}{2}\) = 25  The sides are the length of the radius which is half of the diameter.

(6.25\(\pi\) + 25)cm is the exact answer

If we use 3.14 for \(\pi\) The approximate answer would be:

6.25(3.14) + 25

19.625 + 25

44.625 cm is an approximation

The original price of the bracelet, before tax $0.68

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

Amount = $0.72

Sales tax = 6%

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

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer:

D is the answer

The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. \(\mathbf{y = -\frac{3}{2} x + 4}\)

Recall:

From the graph shown, the slope (m) of the line is \(-\frac{3}{2}\).

Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of \(-\frac{3}{2}\).

Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).

\(y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)\)

Rewrite in point-slope form as y = mx + b

\(y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}\)

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The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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a score of 667 on the GRE is at the 96.72th percentile, meaning that it is higher than approximately 96.72% of all GRE scores in the population.

To find the percentile rank of a score of 667 on the GRE, we need to first standardize the score using the Z-score formula:

Z = (X - μ) / σ

where X is the raw score, μ is the population mean, and σ is the population standard deviation.

Substituting the given values, we get:

Z = (667 - 500) / 90

Z ≈ 1.855

Next, we can use a Z-score table or calculator to find the percentile rank associated with a Z-score of 1.855. Alternatively, we can use the normal distribution function in Excel or a similar software program.

Using a Z-score calculator, we find that a Z-score of 1.855 corresponds to a percentile rank of approximately 96.72%. Therefore, a score of 667 on the GRE is at the 96.72th percentile, meaning that it is higher than approximately 96.72% of all GRE scores in the population.

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Answer:

6

Step-by-step explanation:

x-2=4

x=6

6-2=4

hope it helps

Answer:

Step-by-step explanation:

This means that the starting point is 90 kilos.

Hence, the weight after 20 months is 210 kilos.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

This is a linear relationship:

We have:

Work out the y-intercept by using the above information:

The equation is:

Find the value of y when x = 20:

We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.

Alejandro's age is given as follows:

17 years old.

Alejandro's age is obtained solving a system of equations, considering it's age as x.

Double his age is given as follows:

2x.

Eight more than double is given as follows:

2x + 8.

Wilfredo's age is of 42, hence the value of x is given as follows:

2x + 8 = 42

2x = 34

x = 17.

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The likelihood that a researcher will obtain the same result using the same measures the next time he or she tests a hypothesis is Reliability.

In statistics and psychometrics, reliability is the overall consistency of measurements. Measurements are more reliable when similar results are obtained under the same conditions. Reliable results are accurate, reproducible, and consistent from test event to test event. In other words, if the testing process were repeated on a group of test takers, they would yield essentially the same results. Various types of confidence factors with values ​​ranging from 0.00 (large error) to 1.00 (no error) are commonly used to indicate the amount of error in the assessment.

Examples: include measurements of a person's height and weight. Very reliable in many cases. There are several general classes of reliability estimates: 71.

Retest reliability measures the consistency of test results from one test to the next. Measurements are collected by a single rater using the same method or equipment and the same test conditions. This includes intra-rater reliability.

Inter-method reliability measures how consistent test results are when there is variation in the method or instrumentation used. This means that inter-rater reliability can be ruled out.

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The set of points in space that satisfy the given pairs of inequalities can be described geometrically as follows: The inequality y ≤ x^2 represents a parabolic region in the x-y plane where the y-coordinate is less than or equal to the square of the x-coordinate. This corresponds to a downward-opening parabola that opens towards the negative y-axis.

The inequality z ≥ 0 represents the region above the xy-plane, including the xy-plane itself. This is a half-space extending upwards from the xy-plane.

The inequality x ≥ z^2 represents a region in the x-z plane where the x-coordinate is greater than or equal to the square of the z-coordinate. This corresponds to a sideways-opening parabola that opens towards the positive x-axis.

The inequality -5 ≤ y ≤ 0 represents a vertical range of values for the y-coordinate between -5 and 0, inclusive. This corresponds to a segment on the negative y-axis between y = -5 and y = 0.

By combining these geometric descriptions, the set of points in space satisfying both pairs of inequalities is the region that lies below the parabolic surface, above or on the xy-plane, and to the right of the sideways-opening parabola, within the specified range on the negative y-axis. It is a three-dimensional region that can be visualized as a solid bounded by these surfaces.

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Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of inequalities.

yx2 , z0

xz2 , -5y0

Answer: (a) Let's call the amount of water in the tank after t minutes "W(t)". We know that the rate of change of water in the tank is equal to the rate of brine being pumped in minus the rate of solution being pumped out. Therefore, we can write:

dW(t)/dt = 9 - 5 = 4

This is a first-order linear differential equation, and it can be solved to find W(t). Integrating both sides with respect to t, we get:

W(t) = 4t + C, where C is a constant of integration.

To find the value of C, we can use the initial condition that the tank initially contains 50 litres of water, so:

W(0) = 50

Plugging in t = 0, we get:

50 = 4 * 0 + C

Therefore, C = 50.

So the expression for the amount of water in the tank after t minutes is:

W(t) = 4t + 50

(b) Let's call the amount of salt in the tank after t minutes "x(t)". We know that the rate of change of salt in the tank is equal to the rate of brine being pumped in times the concentration of salt in the brine minus the rate of solution being pumped out times the concentration of salt in the solution. Therefore, we can write:

dx(t)/dt = 11 * 9 - x(t) * 5

This is a first-order linear differential equation, and it describes the amount of salt in the tank after t minutes.

Step-by-step explanation:

Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

The correct question is; -5x +6 < 2(-3 + x)

The inequality which describes all the solutions to the equation -5x +6 < 2(-3 + x) is; x < -12/7

By solving the equation as follows; we have;

x > -12/7

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The given statement "Adding together all the residuals from a regression plot will always sum to 0" is False. A residual is defined as the difference between the observed value and the predicted value for each data point in a regression plot. The sum of residuals is not always equal to 0.

In a linear regression plot, the predicted values for each data point are calculated using the line of best fit. The residual for each data point is calculated as the difference between the observed value and the predicted value. The residuals are a measure of how well the line of best fit predicts the observed data. Ideally, the residuals should be randomly distributed around 0.

The sum of the residuals will be 0 only if the line of best fit perfectly predicts the observed data. However, this is not always the case. In fact, a good regression plot will have some residuals that are positive and some that are negative, resulting in a sum that is not equal to 0. This is because the line of best fit is only an estimate of the relationship between the variables being studied and will never perfectly predict the observed data.

Therefore, the statement "Adding together all the residuals from a regression plot will always sum to 0" is False. The sum of residuals may be close to 0 in some cases, but it will not always be exactly equal to 0.

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Answer:

x= y-15

Step-by-step explanation:

hope it helps

Answer:

x = 6, AM = 22

Step-by-step explanation:

Since A is the midpoint of RM, then RA = AM = 3x + 4 , then

RM = RA + AM , substitute values

7x + 2 = 3x + 4 + 3x + 4 = 6x + 8 ( subtract 6x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

Thus

AM = 3x + 4 = 3(6) + 4 = 18 + 4 = 22

The probability that the annual cost will be 5 of the mean is 0.0912.

A method used by risk managers to predict upcoming events, like accidental and commercial losses. In order to determine a probability distribution that can be applied to forecast future losses, this procedure involves reviewing historical loss data.

X = Annual cost of medical care for dogs.

X~ Normal (μ = 200, σ = 60)

Sample size n = 16

We know that the sample mean Xbar has a normal distribution with mean = μ and sd = σ/√n

Xbar ~ Normal (μ’ = 200, σ’ = 60/√16 = 15)

Required probability -

P[Average cost of medical care for 16 sampled dogs is > 220]

= P[Xbar > 220]

= P[(Xbar-μ’)/σ’ > (220-200)/15]

= P[Z > 1.3333], Z is a standard normal variable.

= 1 - P[Z < 1.3333]

= 1 - 0.9087, from standard normal table.

= 0.0912

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The complete question is:

A veterinary association claims that the annual cost of medical care for dogs averages $200 with a standard deviation of $60, and for cats averages $240 with a standard deviation of $70. Assume the costs follow a normal distribution. What is the probability the average annual cost of medical care for 16 randomly chosen dogs is greater than $220.