Aeris reads the temperature of a liquid in a lab experiment. The temperature of the liquid is 7.2ºF. After 5 hours, she reads the temperature of the liquid again. The temperature of the liquid is now −1.6°F.

Aeris plots the points on a number line to determine the temperature change between these two readings.

How much did the temperature decrease?

Enter your answer as a decimal in the box.

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Answer:

19 percent i believe

Step-by-step explanation:

The inverse of the conditional statement is : if two lines do not intersect, then the lines are not coplanar.

Conditionals are commands used in programming languages to handle decisions.

The contrapositive statement is :  If two lines are not coplanar, then the lines do not intersect.

The converse statement is :  If two lines are coplanar, then the lines intersect.

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

30 minutes long. .....

Step-by-step explanation:

:)

Answer:

diameter=14

radius =14/2=7

area =πr²

hope it helps

Step-by-step explanation:

Area of circle = 2π r²

diameter is 14 cm so radius will be 7 cm

= 2 × 22/7 × 7 × 7

= 44 × 7

= 308 cm²

 The probability that X lies in the interval [3, 6] is given by:P(3 ≤ X ≤ 6) = ∫3 6f(x)dx.

Suppose we have a continuous random variable that varies from 0 to 15.

To find the probability that the random variable takes on a value in the interval [3,6], we must first calculate the area under the curve within the given interval.

This is accomplished by calculating the integral of the probability density function (PDF) of the random variable, between the two endpoints of the interval. The resulting value is the probability that the random variable takes on a value within the given interval.

To begin, let's consider the probability density function (PDF) of the random variable, f(x), which is the function that describes the likelihood that the random variable will take on any given value within its range. The PDF will be a continuous function that has a positive value for all values of x between 0 and 15, and the area under the PDF will be equal to 1, indicating that the sum of all possible values of the random variable will be 1.

We can then calculate the area under the PDF between the two endpoints of the interval [3,6], which can be represented as the integral of the PDF, f(x), from 3 to 6. This can be written as the following equation: Probability of random variable in interval [3,6] = ∫36f(x)dx.

This integral represents the area under the PDF of the random variable between the two endpoints of the interval, and its value will be the probability that the random variable takes on a value within the given interval.

OR- Given the continuous random variable varies from 0 to 15, and we have to find the probability that the random variable takes on a value in the interval [3,6]. So, let's proceed step by step.What is a continuous random variable?A continuous random variable is a variable that takes on any value within a specified range of values.

In other words, any value within the range of values can occur. Continuous random variables can be measured, such as weight, height, time, and distance. Continuous random variables can't be counted, such as the number of heads in 20 coin flips or the number of cars in a parking lot, and so on.

The probability of a continuous random variable is the area under the probability density function (PDF) that falls in the interval of interest. The probability density function (PDF) must be non-negative and integrate to 1.0 over the whole domain.

Suppose we have a probability density function (PDF) f(x) for a continuous random variable X with support S, and we want to calculate the probability that X lies in the interval [a, b], where a and b are any two numbers in S, and a ≤ b. To compute the probability, we find the area under the PDF between a and b. This is given by the integral of the PDF f(x) over the interval [a, b].

Therefore, the probability that X lies in the interval [a, b] is given by:P(a ≤ X ≤ b) = ∫a bf(x)dx  Suppose we want to calculate the probability that the random variable X takes on a value in the interval [3, 6].

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The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

The consumption function represents the relationship between the aggregate level of consumption and the total level of income in the economy.

The investment function shows the level of investment planned by businesses at different interest rates. The net export function calculates the difference between exports and imports as a function of income, while the level of imports is positively related to the level of income, and exports are negatively related to the level of income.

Given:C = 3.25 + 0.75(Y - 3)

We can simplify the consumption function as follows:

C = 1 + 0.75YY - 3 = disposable income = Yd

C = 1 + 0.75(Yd)

C = 1 + 0.75Y

For the investment function: I = 1.3 - 0.3r

Where I is investment and r is the interest rate.

For the net export function: NX = -1 + 0.1Y

Thus, the simplified expressions for the consumption function, investment function, and net export function are:

C = 1 + 0.75YI = 1.3 - 0.3rNX = -1 + 0.1Y

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

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Step-by-step explanation:

To simplify the given radical expression, we can first break down 2401 into its prime factors, which gives us:

2401 = 7^4

We can then simplify the given expression as follows:

^4 sqrt (2401x^12y^16) = ^4 sqrt (7^4 * x^12 * y^16)

= ^4 sqrt (7^4) * ^4 sqrt (x^12) * ^4 sqrt (y^16)

= 7 * x^3 * y^4

Therefore, the simplified form of the given expression is 7x^3y^4.

Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

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The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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The value of x= 10.2.

This is the boundary or contour length of a 2D geometric shape.

Depending on their size, multiple shapes may have the same circumference. For example, imagine a triangle made up of wires of length L.

The same wire can be used to create a square if all sides are the same length.

The length covered by the perimeter of the shape is called the perimeter. Therefore, the units of circumference are the same as the units of length.

As we can say, the surroundings are one-dimensional. As a result, you can measure in meters, kilometers, millimeters, etc.

Inches, feet, yards, and miles are other globally recognized units of circumference measurement.

Hence, The value of x= 10.2.

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Answer:

\(3^2 (negative) \times3^8=729\)

\(Answer = 3^6 \\(729)\)

Answer:

\(3^{6}\)

Step-by-step explanation:

=> \(3^{-2+8}\) => \(3^{6}\)

a. To determine the most consistent results, Charles, Isabella, and Naomi should calculate the range.

b. Isabella achieved the most consistent results with the smallest range of 9, while Charles and Naomi had ranges of 18 and 33, respectively.

a) To determine who has the most consistent results, Charles, Isabella, and Naomi should calculate the range. The range measures the spread or variability of the data set and provides an indication of how dispersed the individual results are from each other.

By calculating the range, they can compare the differences between the highest and lowest scores for each person, giving them insight into the consistency of their performance.

b) To find out who achieved the most consistent results, we can calculate the range for each individual and compare the values.

For Charles: The range is the difference between the highest score (57) and the lowest score (39), which is 57 - 39 = 18.

For Isabella: The range is the difference between the highest score (71) and the lowest score (62), which is 71 - 62 = 9.

For Naomi: The range is the difference between the highest score (94) and the lowest score (61), which is 94 - 61 = 33.

Comparing the ranges, we can see that Isabella has the smallest range of 9, indicating the most consistent results among the three. Charles has a range of 18, suggesting slightly more variability in his scores. Naomi has the largest range of 33, indicating the most variation in her results.

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In a 10-player round-robin tennis tournament, each player must play 45 games, and a total of 90 games will be played in the tournament.

A round-robin tournament is a type of competition in which every participant plays against every other participant. In a 10-player tournament, the number of games needed can be calculated using the formula for combination.

The density of a tournament can be defined as the number of games each player must participate in to play against every other player.

To calculate the density of a 10-player round-robin tournament, we use the formula

=> n(n-1)/2,

where n is the number of players.

In this case, n = 10. So, the density of the tournament is

=> 10(10-1)/2 = 45.

This means that each player must play 45 games in total, and each game involves 2 players.

So, there will be a total of

=> 45*2 = 90

games played in the tournament.

To summarize, The density of the tournament, 45 games per player, is calculated using the formula n(n-1)/2.

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Answer:

X=ax+2

x+ax=2

X=2/(a+1)

Answer:

6

Step-by-step explanation:

eactly it 5.923076923076923

Answer:

Your answer would be D!

Step-by-step explanation:

you have two walls that are  10 by 7.5 so 75 feet ^2 in area each

you have another two walls that are 14 by 7.5  so 105 feet^ 2 each

so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy

for the ceiling you do the same, the area is 140 and you only need one coat

The scale factor would be 9/4 (last option) as 4*(9/4) is equal to 9.

The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.

The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.

The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.

In conclusion, the correct option based on the information is a deductive reasoning.

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Answer: 2-

Step-by-step explanation:

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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Answer:

x = 3

y = 9

Step-by-step explanation:

18x+6y=108   ----------------(I)

6x+10y=108   -------------(II)

(I)                  18x + 6y = 108

(II)*(-3)         -18x  - 30y = -324   {Now add, x will be eliminated}

                          - 24y  = -216

                                y = -216/-24

                              y = 9

Substitute y = 9 in equation (I)

18x + 6*9 = 108

18x + 54 = 108

        18x = 108 - 54

        18x = 54

           x = 54/18

x = 3

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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Answer:

1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term

2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term

3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term

Answer:

No

Step-by-step explanation:

it is not.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

2.1 is not a repeating decimal.

A repeating decimal is a decimal that has an infinite number of digits after the decimal point.

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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