What is the radius of a circle with a diameter of 240 mm?
A) 76.43 mm
B) 480.00 mm
C)12.00 mm
D) 120.00 mm

The possible outputs of the function for different values of [x] are given below.

Given is the following function -

h(x) = 32x - 1

We can write the output for the given function as -

[x]            h(x) = 32x - 1                   h(x)                             

1               {32 x 1 - 1 = 31}                   31

2              {32 x 2 - 1 = 63}                 63  

3              {32 x 3 - 1 = 95}                 95

4              {32 x 4 - 1 = 127}                127

Therefore, the possible outputs of the function for different values of [x] are given above.

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Answer:

B

Step-by-step explanation:

The parabola minimum is 3

The top quadratic minimum is 2 so

g(x) minimum is greater

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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Answer:

I think it's 7- 2i over 3. hopefully that helps

If a differentiable function ff has the property that f′(x)≤3f′(x)≤3 for 1≤x≤81≤x≤8 and f(5)=6f(5)=6, then f(1) can be true when its value is -6. Option (C) is correct.

Given that a differentiable function f has the property that

f′(x)≤3f′(x)≤3 for 1≤x≤8 and f(5)=6.

We need to determine which of the following could be true.

As per the question, a differentiable function f has the property that f′(x)≤3f′(x)≤3 for 1≤x≤8 and f(5)=6.

So, integrating f′(x)≤3f′(x)≤3

we get,

f(x) ≤3x + C ……(1)

Differentiating (1) w.r.t. x,

we get,

f′(x) ≤3 …..(2)

Now, we can say that f′(x) is maximum when f′(x) =3

From (2),

we get that the function f(x) increases continuously from left to right and there are no minima.

So, the value of f(1) can be minimum when f(x) is minimum i.e. when x=1

So, f(1) ≤3 + C …. (3)

Also, as per the question, f(5)=6Substitute x=5 in (1),

we get,f(5) ≤3*5 + C ….. (4)

Substitute f(5) = 6 in (4),

we get,

6 ≤3*5 + C or C ≥ -9

Now substitute C ≥ -9 in (3),

we get,

f(1) ≤ 3 - 9 = -6

Option (C) is correct.

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Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Translation of negative 6 units x, 1 units y composition reflection across the x-axis

The composition transformation that maps ABCD to A''B''C''D'' comprises

of two or more transformations that maps the image

The rule that describes the composition transformation that maps ABCD to

A''B''C''D'' is the option;

Translation of negative 6 units x, 1 units y composition reflection across the x-axis.

The given coordinates of parallelogram ABCD are (3, 5), (6, 5), (4, 1), (1, 1)

The coordinates of the parallelogram A'B'C'D' are; A'(3, -5), B'(6, -5), C'(4, -1), D(1, -1)

The coordinates of the parallelogram A''B''C''D'' are;

D(-5, 0), C''(-2, 0), A''(-3, -4), B''(0, -4)

The image of the point (x, y), following a reflection about the x-axis is the point (x, -y)

The difference in the coordinates of the parallelogram ABCD and A'B'C'D'

is the change in the sign of the y-coordinates

Therefore, the transformation that gives the parallelogram A'B'C'D' from

the parallelogram ABCD is a reflection about the x-axis

The difference between the coordinates of the vertices of the

parallelogram A'B'C'D' and the parallelogram A''B''C''D'', is a change in the

x-value by (-6), and a change in the y-value by (+1)

Therefore, the parallelogram A''B''C''D'' can be obtained from parallelogram

A'B'C'D', by a translation of -6 units (left) in the x-direction and a translation

of 1 unit, x in the y-direction

Which gives;

The composition transformation that maps the pre-image ABCD to the

final image A''B''C''D'', (given that in a composition transformation, the

transformation to the right is done first) are;

\($\mathrm{T}_{-6,1} \cdot \mathrm{r}_{\mathrm{x}-\{axis}}(\mathrm{x}, \mathbf{y})$\)which is the option;

Translation of negative 6 units x, 1 units y composition reflection across the x-axis

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The probability of the data vale more extreme than 3.65 is 0.000131.

First of all given that x(value) = μ+3.65σ , where μ is the mean and σ is the standard deviation.

we know that z-score = (x - μ)/σ

z-score = (μ+3.65σ - μ)/σ

z = 3.65σ/σ

z = 3.65

From the normal distribution table,

P(z>3.65) = 0.000131

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Answer:

question 1 would be A because the answer are expanded brackets

Answer:

(2x-1) (3x-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x -4)(2x - 1)

Answer:

see explanation

Step-by-step explanation:

the error is in the line x + 1 = 3 , that is

2(x + 1)² + 3 = 21 ( subtract 3 from both sides )

2(x + 1)² = 18 ( divide both sides by 2 )

(x + 1)² = 9 ( take square root of both sides )

x + 1 = ± \(\sqrt{9}\) = ± 3 ← note ±

subtract 1 from both sides

x = - 1 ± 3

Then

x = - 1 - 3 = - 4 , or

x = - 1 + 3 = 2

That is a quadratic equation has 2 solutions

Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.

The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.

When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.

When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.

However, age is a numerical variable, and the standard deviation can be calculated for it.

To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.

Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.

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Answer:

wdym 60 inches measures length (?????)

Answer:

Area = Side2

Step-by-step explanation:

Answer:

x= 35

Step-by-step explanation:

Cos x = Sin( 20+x)

 Sin ( 90 – x) = Sin(20+x)

 90 – x = 20+x  

 2x = 70  

 x = 35  

Answer:

100 hours

Step-by-step explanation:

Law firm A = 350x + 22,000,

Law firm B = 410x+16,000

Where,

x = number of hours of legal assistance

What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Equate the legal fees of the two law firms

350x + 22,000 = 410x + 16,000

Collect like terms

350x - 410x = 16,000 - 22,000

-60x = -6,000

Divide both sides by -60

x = -6,000 / -60

= 100

x = 100 hours

The number of hours of legal assistance makes the equation true is 100 hours

There are two fractions that are equal, but one of them has a product in the denominator. We need to choose 3 numbers such that the simplified fraction lead to two different numbers. Those numbers are:

Then, there are 4 more numbers: 1, 5, 7, and 8. 1/5 is lower than 3/4, and 7/8 is higher than 3/4. Then, the answer is:

Answer:

-2x+4r = 4 i think

Step-by-step explanation:

1. The proof is completed using transitive property as follows

   Statement                               Reason

c || d                                Given

∠ 1 ≅ ∠ 2                        Given

∠ 1 ≅ ∠ 3                        Corresponding angles

∠ 2 ≅ ∠ 3                        Alternate exterior angles

∠ 4 + ∠ 3 = 180               Definition of supplementary angles

∠ 4 + ∠ 2 = 180               Substitution property of equality

2.

The second proof is achieved using transitive property

     Statement                     Reason

∠ 1 + ∠ 2 = 180                Given

∠ 4 ≅ ∠ 5                        Given

∠ 4 ≅ ∠ 5                        Alternate interior angles are equal (s || r).

linear pair of ∠ 1 ≅ ∠ 2  Corresponding angles are equal (s || q)

q || r || s                           Transitive property

The substitution property of equality is a fundamental principle in mathematics that states that if two quantities or expressions are equal, then one can be substituted for the other in any equation, inequality, or expression without changing the truth or validity of the statement.

This helped us to complete the proof, knowing that ∠ 2 ≅ ∠ 3 (Alternate exterior angles are equal) the we can substitute 2 for 3. so we have that

∠ 4 + ∠ 3 = 180              

∠ 4 + ∠ 2 = 180            

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Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

Given statement solution:- None of the expressions evaluated are equivalent to 3/16 when x=34.

Let's evaluate each expression to determine if it is equivalent to 3/16 when x=34:

2x+116:

Substituting x=34, we have: 2(34) + 116 = 68 + 116 = 184

184 is not equal to 3/16.

\(x^2\) - 616:

Substituting x=34, we have: \((34)^2\) - 616 = 1156 - 616 = 540

540 is not equal to 3/16.

\((38)^2\)÷ x:

Substituting x=34, we have:\((38)^2\) ÷ 34 = 1444 ÷ 34 = 42.47 (approx.)

42.47 is not equal to 3/16.

x - 14:

Substituting x=34, we have: 34 - 14 = 20

20 is not equal to 3/16.

2x -\(x^2\)- 34:

Substituting x=34, we have: 2(34) - \((34)^2\) - 34 = 68 - 1156 - 34 = -1122

-1122 is not equal to 3/16.

None of the expressions evaluated are equivalent to 3/16 when x=34.

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The number of employees that must be included in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean is 107 employees.

To estimate the mean number of hours worked by all grocery store employees in the county with 95% confidence and a margin of error of 1.5 hours, we can use the sample size formula:

n = (Z * σ / E)²

where:
- n is the required sample size
- Z is the critical value (1.96 for a 95% level of confidence)
- σ is the population standard deviation (7.9 from the previous study)
- E is the margin of error (1.5 hours)

Plugging in the given values:

n = (1.96 * 7.9 / 1.5)²

n ≈ 106.56

Since you cannot have a fraction of an employee, you need to round up to the nearest whole number. Therefore, the researcher must include 107 employees in the sample to be 95% confident that the sample mean is within 1.5 hours of the population mean.

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Answer:

Step-by-step explanation:

2 x 5=10

5x5=25

a=10

b=25

By reframing the problem as P(X1 - X2 > 0) and using the properties of independent normal random variables, we determine that the distribution of X1 - X2 is N(-1, 2). The probability P(X1 > X2) is 0.3085.

To find the probability that X1 is greater than X2, we can reframe the problem as finding the probability that X1 - X2 is greater than 0. This allows us to determine the distribution of the random variable X1 - X2. Given that X1 and X2 are independent random variables with normal distributions N(6,1) and N(7,1) respectively, we can calculate the probability P(X1 - X2 > 0) and determine the distribution of X1 - X2.

To find P(X1 > X2), we reframe it as P(X1 - X2 > 0). The difference between X1 and X2, denoted as X1 - X2, follows a normal distribution with mean μ1 - μ2 and variance σ\(1^2\) + σ\(2^2\) since X1 and X2 are independent normal random variables. In this case, μ1 = 6, μ2 = 7, σ\(1^2\) = 1, and σ\(2^2\) = 1.

The distribution of X1 - X2 is N(μ1 - μ2, σ\(1^2\) + σ\(2^2\)), which is N(6 - 7, 1 + 1) = N(-1, 2). We now need to calculate the probability P(X1 - X2 > 0) using the distribution N(-1, 2).

To do this, we can standardize the distribution by subtracting the mean and dividing by the standard deviation. Standardizing gives us P((X1 - X2 - (-1))/\(\sqrt{(2)}\) > (0 - (-1))/\(\sqrt{(2)}\)), which simplifies to P((X1 - X2 + 1)/\(\sqrt{(2) }\)> 1/\(\sqrt{(2)}\)).

We can now use the standard normal distribution table or a calculator to find the probability that a standard normal random variable is greater than 1/\(\sqrt{(2)}\). This probability is approximately 0.3085.

Therefore, P(X1 > X2) or P(X1 - X2 > 0) is approximately 0.3085.

In summary, by reframing the problem as P(X1 - X2 > 0) and using the properties of independent normal random variables, we determine that the distribution of X1 - X2 is N(-1, 2). The probability P(X1 > X2) is approximately 0.3085.

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

The answer is 14,400

Step-by-step explanation:

There are 286 different possible selections of three candies from 13 varieties.

To find out how many possible selections can be made, we can use the combination formula: nCk = n! / (k! (n-k)!), where n is the total number of candies available and k is the number of candies to be selected.

In this case, n = 13 (the number of candy varieties) and k = 3 (the number of candies to be selected). So the number of possible selections can be calculated as follows: 13C3 = 13! / (3! (13-3)!) = 286. Therefore, there are 286 different possible selections of three candies from the 13 varieties available in the candy store.

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Answer:

The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.

Step-by-step explanation: