Point AAA is at {(-7,5)}(−7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,−1)left parenthesis, 5, comma, minus, 1, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ABABA, B is 555 times as long as BCBCB, C.

Answer:

W = 32

Step-by-step explanation:

lol.

The curve described parametrically x=t^2+t+1, y=t^2-t+1 represents a parabolic shape that is symmetric about the vertical line x=1/2.

This curve is often used in mathematics to demonstrate how content loaded into a program can be graphed and represented using parametric equations. The curve described parametrically by x = t^2 + t + 1 and y = t^2 - t + 1 represents a parabolic curve in the xy-plane. In this parametric equation, the variable t serves as a parameter that defines the coordinates (x, y) for each point on the curve. As t varies, the points generated by these equations form the parabolic shape.

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Answer:

To solve a system of equations word problem, you need to follow these steps:

Find the key information in the word problem that can help you define the variables.

Define two variables: x and y

Write two equations.

Use the elimination method or the substitution method for solving systems of equations.

Check the solution by substituting the ordered pair into the original equations.

For this problem, you can define x as the number of adult tickets and y as the number of student tickets. Then, you can write two equations based on the information given:

x - y = 15 (She sells 15 fewer student tickets than adult tickets)

8x + 5y = 315 (Adult tickets are $8 each and student tickets are $5 each, and the total sales are $315)

You can use either the elimination method or the substitution method to solve this system of equations. For example, using the substitution method, you can solve for y in the first equation and then substitute it into the second equation:

y = x - 15

8x + 5(x - 15) = 315

13x - 75 = 315

13x = 390

x = 30

Then, you can find y by plugging x into the first equation:

y = 30 - 15

y = 15

You can check the solution by substituting x and y into the original equations and see if they are true:

30 - 15 = 15 (True)

8(30) + 5(15) = 315 (True)

Therefore, the solution is x = 30 and y = 15, which means she sells 30 adult tickets and 15 student tickets.

The equation that would give you the solution if t represents the number of tickets is:

8t + 5(t - 15) = 315

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40% is 4 times 10%, so the number is 4 times greater.

4 × 2 = 8

Answer: 8

Let's call the number we're trying to find "x".

We know that 10% of x is equal to 2.

So, we can set up the equation:

0.1x = 2

To solve for x, we can divide both sides by 0.1:

x = 2 ÷ 0.1

x = 20

Now that we know x is 20, we can find 40% of that number:

40% of 20 = 0.4 x 20 = 8

Therefore, 40% of that number is equal to 8.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

2 the elevators height after one second

The set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

To determine if the set Z(2) contains the fraction 2/6, we need to understand what Z(2) represents.

The notation Z(2) typically refers to the set of integers modulo 2, also known as the integers modulo 2 ring. In this set, the elements are the remainders of integers when divided by 2, which are 0 and 1.

To check if 2/6 is in Z(2), we need to reduce 2/6 modulo 2. When we divide 2 by 6, the remainder is 2, which means 2/6 is congruent to 2 modulo 2.

In Z(2), the only possible values are 0 and 1, so 2 is not an element of Z(2). Therefore, 2/6 is not in Z(2).

In summary, since the set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

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The possible equation of the sequence is f(x) = -2x + 5

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

Sequence type = arithmetic

Also, we have the following features

slope = negative

y-intercept = positive

A linear equation (or an arithmetic sequence) can be represented as

y = mx + c

Where

slope = m

y-intercept = c

Using the given features, we can use the following assumed values

m = -2

c = 5

So, the sequence is

f(x) = -2x + 5

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Probability that both of them have the secret decoder ring is 0.032

Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

11 of the 59 boxes on the shelf have a secret decoder ring

48 boxes on the shelf contain a different gift

two cereal boxes are randomly selected from the shelf to purchase

the probability that 1st  have the secret decoder ring = 11/59

the probability that 2nd have the secret decoder ring = 10/58

probability that both of them have the secret decoder ring.

(11/59)*10/58 =0.032

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95% confident that the true population mean μ lies between 83.04 and 86.96

Confidence Interval

A confidence interval in statistics refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

First need to determine whether dealing with means or proportions in this problem. The sample and population mean, that  are dealing with means.

One sample mean, this mean creating a confidence interval for one sample (1 Sample  t Interval)

Normally we would check for conditions, but since this is not formulated as a real-world scenario type problem, it is hard to check for randomness and independence. Therefore excluding conditions from this answer.

The formula for constructing a confidence interval for means is as follows:

x ± t ( σ / \(\sqrt{n}\) )

The variables are:

x = 85

σ = 8

n = 64

Plug these values into the formula for the confidence interval

85 ± t ( 8 / \(\sqrt{64}\))

Finding the Critical Value (t)

In order to find t, use this formula:

\(\frac{1 - C}{2} = A\)

The z-score associated with A will give us t

So plug in the confidence interval 95% (.95) into the formula

\(\frac{1 - 0.95}{2} = 0.25\)

Use the calculator or a t-table to find the z-score associated with this area under the curve

t = 1.96

Constructing Confidence Interval

Finish the confidence interval created

= 85 ± 1.96 ( 8 / \(\sqrt{64}\) )

The confidence interval using this formula, to be

(83.04, 86.96)

Interpreting the Confidence Interval

95% confident that the true population mean μ lies between 83.04 and 86.96

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Answer:

jjf jjdj vj e jvej e

Step-by-step explanation:

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

The slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.

According to the question,

We have the following information:

A line is passing through two points (2,7) and (-4,19).

We know that the slope of the line is denoted by m and the following formula is used to find the slope of the line passing through two points:

m = (y2-y1)/(x2-x1)

(More to know: we can also easily find the equation of the line using the slope given and the points from which the line is passing.)

In this case, we have x1 = 2, y1 = 7, x2 = -4 and y2 = 19.

m = (19-7)/(-4-2)

m = 12/(-6)

m = -2

Hence, the slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.

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Answer:

1:25

Step-by-step explanation:

1/25*300=12

Assuming you meant to write \(5x^6y^3z^5\), then we add the exponents of each variable. The sum is 6+3+5 = 9+5 = 14.

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)

Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

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Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The point of intersection is (- 1, 3 ) ← solution

Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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Answer:

C) 2

Step-by-step explanation:

14 = 4x + 6

14 - 6 = 4x

8 = 4x

8/4 = x

2 = x

Answer: So therefore your answer would be 7 3/4

Step-by-step explanation: Okay so sun's you are trying to increase the recipe by four times That means you need to do what the recipe calls for four times and times what the recipe calls for by four or how many times larger you want to make it. So first we would do 3/4 X 4 = 12/16 And then from there we need to simplify And for this I'm pretty for sure lol We are going to divide the top by three and then the bottom by four. So then it goes back to 3/4 and seven cups I'm pretty sure.

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5

Answer:

(3, 5)

Step-by-step explanation:

Correct on e2020

Answer:

My answer is also same 357 he's only correct mark his answer as branlist answer lol

The equation of the tangent line to the function p(x) = 4x² + 2x³ at x = 1 is y = -6x + 15.

To find the equation of the tangent line, we need to determine the slope of the tangent at the point (1, p(1)). First, we find the derivative of p(x) with respect to x. Taking the derivative, we get p'(x) = 8x + 6x².

Next, we substitute x = 1 into p'(x) to find the slope of the tangent at x = 1. Plugging in x = 1, we have p'(1) = 8(1) + 6(1)² = 14.

Using the point-slope form of a linear equation, y - y₁ = m(x - x₁), where (x₁, y₁) is the point of tangency, x₁ = 1, y₁ = p(1) = 4(1)² + 2(1)³ = 6.

Plugging in the values, we have y - 6 = 14(x - 1). Simplifying the equation gives y = 14x - 14 + 6, which simplifies further to y = 14x - 8.

Therefore, the equation of the tangent line to p(x) at x = 1 is y = -6x + 15.

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Answer:

"Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

Step-by-step explanation:

In reality, the table represents an exponential function instead of a linear function, since values on domain change arithmetically at constant rate, whereas values on range change geometrically at constant rate.

Correct phrase may be: "Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

If there are 58 nominees, then the number of ways in which scholarships can be awarded is 4,24,270.

What are the Permutation and Combination?

Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.

If there are 58 nominees, and Blackhawk can give only four scholarships then the number of ways is =

                        \(=^nC_r\\\\=^{58}C_4\\\\=\frac{58!}{4!*54!}\\\\=\frac{58 * 57 * 56 * 55}{4 * 3 * 2 *1}\\\\=4,24,270\)

Hence, if there are 58 nominees, then the number of ways in which scholarships can be awarded is 4,24,270.

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Answer:

8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total

Step-by-step explanation:

8 pack of pasta is 8$ and 8lbs

8 jars of sauce is 24$ and 12lbs

8 plus 12 is 20 which is the max of lbs Tyler can carry.