What is true about dilations( in math)??

Select the correct answer from each drop-down menu. Ray recorded the amount he pald for his phone bill each month for the year in this table. $28 $ 27 $26 $25 $32 $ 26 $30 $25 $30 $28 $28 $30 The range of the data and the interquartile range is

Answer:

The range of the data is

D. aka the last one i think it was $33 something

and the interquartile range is

$4

Step-by-step explanation:

Just a head up i am not 100% sure but i think this is the right answer

Answer: 19.56z - 9

Step-by-step explanation: Hello!  Here are the steps to solve this problem:

14.33z - 3 - (6 - 5.23z).  

Firstly, you have to use the distributive property and distribute -1 to the parentheses using PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

14.33z - 3 + -1(6 - 5.23z)
14.33z - 3 + (-6 + 5.23z)
14.33z + (-3) + (-6) + (5.23z)
14.33z + (5.23z) + (-3) + (-6)
(14.33z + 5.23z) + (-3 - 6)
19.56z + (-3 - 6)

19.56z + (-9)
19.56z - 9.

The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.

To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:

Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)

Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)

Expected return = 0.036 + 0.0495 - 0.0125

Expected return = 0.073

The expected return is 7.30%.

To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:

Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)

Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2

Variance = 0.00232 + 0.000173 + 0.001903

Variance = 0.004423

The standard deviation is the square root of the variance:

Standard deviation = √(0.004423)

Standard deviation = 0.0665

Therefore, the value obtained is 0.0665.

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We are given the following integral to evaluate in terms of areas, with limits of integration [a, b].∫f(x) dx [a, b]First, we write the integrand as 2 + √(81 - x²), since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²)

in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle:Area of a semicircle = πr²/2Where r = 9 (radius of the semicircle)Since the square root of (81 - x²) is always non-negative, the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18Explanation:To evaluate the integral by interpreting it in terms of areas, we find the area under the curve of the integrand.

Since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²) in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle, since the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18

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We are given the following integral to evaluate in terms of areas, with limits of integration [a, b].∫f(x) dx [a, b]First, we write the integrand as 2 + √(81 - x²), since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²)

in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle:Area of a semicircle = πr²/2Where r = 9 (radius of the semicircle)Since the square root of (81 - x²) is always non-negative, the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18Explanation:To evaluate the integral by interpreting it in terms of areas, we find the area under the curve of the integrand.

Since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²) in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle, since the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18

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We are given the following integral to evaluate in terms of areas, with limits of integration [a, b].∫f(x) dx [a, b]First, we write the integrand as 2 + √(81 - x²), since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²)

in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle:Area of a semicircle = πr²/2Where r = 9 (radius of the semicircle)Since the square root of (81 - x²) is always non-negative, the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18Explanation:To evaluate the integral by interpreting it in terms of areas, we find the area under the curve of the integrand.

Since the square root of (81 - x²) is always non-negative, we can interpret the integral as the area under the curve f(x) = 2 + √(81 - x²) in the interval [a, b].Hence, we can evaluate the integral using the formula for the area of a semicircle, since the given function is non-negative in the interval [-9, 9].Thus, the area under the curve f(x) = 2 + √(81 - x²) in the interval [-9, 9] is equal to the sum of the areas of two semicircles of radius 9 and height 2, respectively, which is:Area = π(9²)/2 + (9)(2) = 81π/2 + 18Therefore, the main answer is:∫[2 + √(81 - x²)] dx [-9, 9] = 81π/2 + 18

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Answer:

c. (0,4)

Step-by-step explanation:

Answer:

1. 3x+2=14 and 43=8c−5

2. 8=3/a+6 and -2/5y=6

3. (−2)(x2+x−8)

4. 4.3z+1=7-1.7z

5. There are two cell phone companies that offer different packages. Company A charges a monthly service fee of $34 plus $.05/min talk-time. Company B charges a monthly service fee of $40 plus $.04/min talk-time.

Step-by-step explanation:

1. part 2 on screenshot 1 part 2

1. part 1 on screenshot 1

2. equation 1 on screenshot 2

3. attachment 3

4. on attachment 2

5. attachment 1

not done yet

Answer:

False

Step-by-step explanation:

Dividing integers is opposite operation of multiplication. But the rules for division of integers are same as multiplication rules. Though, it is not always necessary that the quotient will always be an integer.

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please give brainliest

Given:

The first term of an arithmetic sequence = 10

Common difference = -3

To find:

The formula for nth term of the arithmetic sequence.

Solution:

The nth term of an arithmetic sequence is:

\(a_n=a+(n-1)d\)

Where, a is the first term and d is the common difference.

Putting \(a=10\) and \(d=-3\) in the above formula, we get

\(a_n=10+(n-1)(-3)\)

\(a_n=10-3n+3\)

\(a_n=-3n+13\)

Therefore, the required formula for the nth term of the arithmetic sequence is \(a_n=-3n+13\).

Answer:

2 6 10

Step-by-step explanation:

have :

a + b +c  = 18

a*b*c = 120

a+c = 2*b => 3*b = 18 => b = 6

then a = 2, c = 10

Answer:

26r^2 + 36r.

Step-by-step explanation:

The function representing the price for one dog to be trained in t years is option C: P(t) = \(2750(0.2)^t.\)

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

The total income is earned from training 400 dogs, so the price for one dog to be trained is the total income divided by the number of dogs trained:

P(t) = M(t) / D(t)

Substituting D(t) and M(t), we get:

P(t) =\((1100000(0.02)^t) / (400(0.1)^t)\)

P(t) = \(2750(0.2)^t\)

Therefore, the function representing the price for one dog to be trained in t years is option C: P(t) = \(2750(0.2)^t.\)

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The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

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When they work 8 hours, both Jonny and Clara will be paid the same amount of $140.

Let's represent the number of hours worked as 'x'

Total earnings for the first job = (Hourly wage * Number of hours worked) + Bonus

= (10 * x) + 60

Total earnings for the second job = (Hourly wage * Number of hours worked) + Bonus

= (15 * x) + 20

To find the number of hours at which they will be paid the same amount, we can set the two equations equal to each other and solve for 'x':

(10 * x) + 60 = (15 * x) + 20

Now, we can solve the equation:

10x + 60 = 15x + 20

60 - 20 = 15x - 10x

40 = 5x

x = 40/5

x = 8

Total earnings for the first job = (10 * 8) + 60 = $140

Total earnings for the second job = (15 * 8) + 20 = $140

Thus, when they work 8 hours, both Jonny and Clara will be paid the same amount of $140.

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Answer:

the correct answer is 6

Step-by-step explanation:

only reasonable answer

Answer:

The answer is x=2 and y=0.

Step-by-step explanation:

The given Equations are:

                    5x-2y=10      ----------------- (i)
                    4y+20=10x   ----------------- (ii)

From equation find the value of x, that is:

         5x=10+2y         (Obtained By adding 2y on both side of Equation (i))

Next divide with 5 on both side to get x:

          x=(10+2y)/5           ------------------ (iii)

Put this value of x in equation (ii):

        4y+20=10((10+2y)/5)

Simplifying the above equation:

         4y+20=2(10+2y)

         4y+20=20+4y

From the above equation the solution of y is not possible.

We can make it 0. So,
         y=0

Put this value of y in equation (iii), to get value of x:

        x=(10+2(0))/5

        x=(10+0)/5

        x=10/5

        x=2

In ANOVA, the factor refers to the different levels of the variable being studied.

So, the correct answer is C.

Specifically, it refers to the independent variable that is being manipulated and its effect on the dependent variable.

The experimenter is the person conducting the study and manipulating the independent variable, but the factor specifically refers to the levels of the variable being studied.

The content loaded in 120 words would explain the concept of factors in ANOVA and how they relate to the independent and dependent variables in the study. It would also clarify that the experimenter is not the same as the factor being studied.

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Enlarged in 14 1.76 will be 0.95. Therefore, in order to provide you at least a 0.95 likelihood of being able to cover the transportation costs and other fees, I would need to visit the business with a minimum of 176 individuals.

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Answer:

6x

Explanation:

A number is x. 6 x x is written as 6x

Answer:

6x or 6*x

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

6 is multiplied by a number

6x

6 * x

Hope this helps!

The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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Answer:

Set your calculator to Degree mode.

\( \alpha = {cos}^{ - 1} \frac{7}{8} \)

\( \cos(2 \alpha ) = \frac{7}{x} \)

\( \cos(2 {cos}^{ - 1} \frac{7}{8} ) = 2 {cos}^{2} ( {cos}^{ - 1} \frac{7}{8} ) - 1 = \frac{7}{x} \)

\(2( { \frac{7}{8}) }^{2} - 1 = \frac{7}{x} \)

\( \frac{17}{32} = \frac{7}{x} \)

\(17x = 224\)

\(x = \frac{224}{17} = 13.176\)

\( \alpha = {cos}^{ - 1} \frac{7}{8} = 28.955 \: degrees\)

So x = 224/17 = 13.176 and theta = 28.955°.

Answer:

-34°F

Step-by-step explanation:

-27 - 7 = -34

or

27 + 7 = 34 = -34

I hope this helps! have a wonderful rest of ur day :)

Answer:

15) already in slope-intercept form

16) y=-6+1/3x

17) y=-7/3x-3

18)y=-1/3x+0

Step-by-step explanation:

15) is already in slope intercept form

16) first you subtract x on both sides so x-3y=18 will be

-3y=18-x

then you divide by -3 on both sides to isolate y so -3y=18-x will be

\(y=-6+\frac{1}{3}x\\\) and thats the final answer

17) y=-7/3x-3

find the slope by counting rise over run and the y intercept is when x is zero so -3

18)y=-1/3x+0

Given data:

The list and the measurment of ingredients used to make 16 brownies is as follows.

Butter = 2/3 cups.

unsweetended choclolate = 5 ounces.

sugar = 1 1/2

vanilla = 2 tablespoons.

egg = 2

flour = 1 cup

to find the recipe, ingredients used to make 8 brownies.

Reduce the measure by half,. that is dividing it by 2.

thus,

Butter =1/3

unsweetended choclolate= 2.5 ounces

sugar = 3/4 cup

vanilla = 1 tablespoon.

egg =1

flour= 1/2 cup.

Answer:

4

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

Answer:

X= 82⁰

z= 82⁰

Step-by-step explanation:

for X:

we can use co-interior angles sum up to make 180 so,

x+ 98= 180

x= 180-90= 82⁰

for z, we can use either angles on a straight line or corresponding angles

98 + z= 180

z= 180-98= 82⁰

corresponding angles are always equal and can be found in the F shape diagram when lines are parallel

therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

2. \(\frac{1}{2}x+125=450\)

Step-by-step explanation:

We can use x to mean the number not known. Let's start by using \(\frac{1}{2}\) of a number which would be \(\frac{1}{2}x\) because the number here is signified by x. Then you would add 125 to that answer which would be shown by \(\frac{1}{2}x+125\). All of it equals 450, so it would be written as \(\frac{1}{2}x+125=450\)

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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