If it is -31°F in one city and in another city it is
83°, what is the temperature difference
between the two cities?

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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By using  1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.

PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.

The first argument (H15) specifies the cell you want to calculate the probability for.

The second argument (500) represents the target value you want to compare against.

The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.

By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.

Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).

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a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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We can find the 7 parts of a circle can by: drawing a straight line through the circle so as to identify each of its parts.

The parts of a circle.

The parts of a circle are the properties that can be used to describe a circle. These properties can be deduce from the circle itself.

Some parts of a circle are: circumference, radius, diameter, chord, tangent, arc, segment, sector etc. Each part mentioned can be define as:

The parts of a circle can be determined by: drawing a straight line through it and identify each part as explained above.

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Step-by-step explanation:

20x² = y - 24

y = 20x² + 24

For y to have the least possible value, x² have to be the least possible, which is 0.

Since -3 <= x <= 2 includes x = 0, this is allowed.

Hence least possible value of y

= 20(0)² + 24 = 24.

Answer:

24

Step-by-step explanation:

-3---> 20(-3)^2=y-24 ----> y=204

-2---> 20(-2)^2=y-24 ----> y=104

-1---> 20(-1)^2=y-24 ----> y=44

0---> 20(0)=y-24 ----> y=24

1---> 20(1)^2=y-24 ----> y=44

2---> 20(2)^2=y-24 ----> y=104

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The probability that the geyser will erupt in the next hour is 0.6321 or 63.21%.

To find the probability that the geyser will erupt in the next hour, we can use the exponential distribution formula. The terms involved in this problem are:

1. Exponential distribution

2. Mean time between eruptions (72 minutes)

3. Probability

Step 1: Convert the given hour to minutes. There are 60 minutes in an hour.

Step 2: Calculate the parameter for the exponential distribution. Since the mean time between eruptions is 72 minutes, the parameter (λ) is equal to the reciprocal of the mean, which is 1/72.

Step 3: Use the cumulative distribution function (CDF) formula for the exponential distribution to find the probability of the geyser erupting within the next 60 minutes.

\(CDF(x) = 1 - e^{(-λx)}\)

Step 4: Plug in the values into the formula:

\(CDF(60) = 1 - e^{(-1/72 * 60)}\)

Step 5: Calculate the result:

\(CDF(60) ≈ 1 - e^{(-60/72)} ≈ 1 - e^{(-5/6) }≈ 0.6321\)

So, the probability that the geyser will erupt in the next hour is approximately 0.6321 or 63.21%.

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Answer:

-5.44

I took the test.

Step-by-step explanation:

Answer:

non sequitur

Step-by-step explanation:

An argument in which the reasons do not support the conclusion so that the conclusion does not follow from the reasons offered is called a non sequitur.

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

there are 8 pieces total

The percent change from 188 m to 42 m is given as follows:

-77.66%.

A percentage of an amount a relative to a total amount b is obtained applying a proportion, as it is the division of the amount a by the amount b, multiplied by 100%.

Then the percent change is calculated as the division of the change by the initial amount.

The amounts for this problem are given as follows:

Hence the change is given by the subtraction of the final amount by the initial amount, as follows:

42 - 188 = -146.

Then the percent change is of:

-146/188 x 100% = -77.66%.

The percent change is negative as the amount decayed, that is, the initial amount is greater than the final amount.

The problem asks for the percent change from 188 m to 42 m.

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The given sequence is 460, 451, 442,...

Let's subtract to find the difference in the sequence.

The difference is -9 (d = -9).

Let's use the formula for arithmetic sequences to find the 37th term (n = 37).

Where a1 = 460, n = 37, and d = -9.

Answer:

5<x<11

Step-by-step explanation:

Answer:x=3

Step-by-step explanation:

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

\(x=98\)

Step-by-step explanation:

Angles in a triangle add up to 180°

\(180-45-53\)

\(=82\)

Angles in a straight line add up to 180°

\(180-82\)

\(=98\)

Answer:

d is correct

Step-by-step explanation:

A student need a raw score of 36.

We can find the raw score (R) of the student by substituting A = 60 into the the formula and then solve for R. That is:

A = 10√R

√R = 60/10

√R = 6

R = 6²

R = 36

Thus, a student need a raw score of 36 to get a passing grade after her score is adjusted.

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Answer:

and independent variable It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. and a Just like an independent variable, a dependent variable is exactly what it sounds like. It is something that depends on other factors. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer:

Step-by-step explanation:

The small square extends from x=1 to x=4, so its side length is 4-1 = 3.

The large square extends from x=4 to x=16, so its side length is 16-4 = 12.

The scale factor is ...

  large/small = 12/3 = 4

or

  small/large = 3/12 = 1/4

We don't know which way you're scaling, so choose the factor appropriate to your question.

Answer:

Step-by-step explanation:

\(r(x) = 2x ^ 2 - 5x +1\\\\ r(x+2) = 2(x+2)^ 2 - 5(x+2) +1\\\\ r(x+2) = 2(x^2+4x+4) - 5x-10+1\\\\ r(x+2) = 2x^2+8x+8 - 5x-9\\\\ r(x+2) = 2x^2+3x-1\)

Answer: A 6 hours 15 minutes

Step-by-step explanation:

Time = Distance / Speed

Time = 750 / 120

Time = 6.25

Answer:

A. 6 hours and 15 minutes

Step-by-step explanation:

=> 120 miles = 1 hour

=> 1 mile = 1/120 hour

Multiplying both sides by 750

=> 750 miles =  hours

=> 750 miles = 6.25 hours

=> 750 miles = 6 hours 15 minutes

Answer:

510.1

Step-by-step explanation:

convert m to km by dividing by 1000 and add all of the numbers together

Answer:

Step-by-step explanation:

1. (3/4)^2 = 3/4 * 3/4

2. numerator * numerator so 3 * 3 = 9

3. denominator * denominator so 4 * 4 = 16

Hence, the answer is 9/16

Step-by-step explanation:

(3/4)² = 3²/4² = 9/16

(a×b×c×d×...×z)² = a²×b²×c²×d²×...×z²

System of Equations

Let

x = Number of laptops

y = Number of tablets

There are 30 salespeople and the business wants to assign one device to each one of them, thus:

x + y = 30

Each laptop cost $515 and each tablet cost $285. The business has $11,080 to spend in the new equipment, thus:

515x + 285y = 11,080

The system of equations that models the problem is:

x + y = 30

515x + 285y = 11,080

Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

Answer:

Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.

Step-by-step explanation:

your welcome