which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined

Answer: C.

Step-by-step explanation:

0.04 is the interest rate because it is equivalent of 4%.

Answer: 0.04

Step-by-step explanation:

1/3 +1/2 = 1/x   rational equation represents the information presented in this problem.

What is linear equation explain with example?

where they both take x hours to do the job together

1/3 +1/2 = 1/x

5/6 = 1/x

x = 6/5

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Step-by-step explanation:

given,

height = 7cm

radius = 3cm

length of label that is overlap = 1.5cm

we know,

lateral area of cylinder = 2πrh

so, after inserting the values we got

→ 2 × 22/7 × 3 × 7

→ 2 × 22 × 3

→ 44 × 3 = 132 cm²

and as given it is 1.5cm overlap so, 132 × 1.5 cm

= 198 cm²

so, area of the label is 198 cm².

hope this answer helps you dear...take care and may u have a great day ahead !

The homogeneous equation corresponding to W = Span(2, 1, -3) is 0.

To discover a set of one or more homogeneous equations for which the corresponding answer set is W = Span(2, 1, -three), we will use the idea of linear independence.

The set of vectors v1, v2, ..., vn is linearly unbiased if the only strategy to the equation a1v1 + a2v2 + ... + anvn = 0 (wherein a1, a2, ..., an are scalars) is a1 = a2 = ... = an = 0.

Since W = Span(2, 1, -3), any vector in W may be represented as a linear aggregate of (2, 1, -three). Let's name this vector v.

Now, to find a homogeneous equation corresponding to W, we need to discover a vector u such that u • v = 0, in which • represents the dot product.

Let's bear in mind the vector u = (1, -1, 2). To check if u • v = 0, we compute the dot product:

(1)(2) + (-1)(1) + (2)(-3) = 2 - 1 - 6 = -5.

Since u • v = -five ≠ zero, the vector u = (1, -1, 2) is not orthogonal to v = (2, 1, -3).

To discover a vector that is orthogonal to v, we can take the go product of v with any other vector. Let's pick the vector u = (1, -2, 1).

Calculating the cross product u × v, we get:

(1)(-3) - (-2)(1), (-1)(-3) - (1)(2), (2)(1) - (1)(1) = -3 + 2, 3 - 2, 2 - 1 = -1, 1, 1.

So, the vector u = (-1, 1, 1) is orthogonal to v = (2, 1, -3).

Therefore, the homogeneous equation corresponding to W = Span(2, 1, -3) is:

(-1)x + y + z = 0.

Note that this equation represents an entire answer set, now not only an unmarried solution. Any scalar more than one of the vectors (-1, 1, 1) will satisfy the equation and belong to W.

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The correct question is:

Answer:

The answer is  

a.

$75,000

Step-by-step explanation:

The face value of the 10-year term insurance policy on a 24-year-old male is $359.25 is given as follows: $75,000.

The face value of the insurance policy is given by the equation presented as follows:

Face value = 1,000 x (Annual premium / Amount paid per $1,000 coverage )

The parameters for this problem are given as:

Annual premium = $359.25, as given in the problem.

Also, Amount paid per $1,000 coverage for 24 year old male for 10 year policy = 4.79,

Hence the face value is calculated as:

Face value = 1000 x 359.25/4.79

Face value = $75,000.

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Answer:

for ponits

Step-by-step explanation:

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

Answer:

D) \(a(n)=7+(n-1)*12\)

Step-by-step explanation:

It is D since you can replace \(n\) for any value on the \(x\) side of the table and it will give you its corresponding \(y\) value.

Answer:

Step-by-step explanation:

The required larger and smaller number is 7 and 3 respectively.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,

Let the larger number be x and smaller number be y,

According to the question,

the sum of the larger and twice the smaller is equal to 13.

x + 2y = 13 - - - -(1)

And, twice their positive difference is equal to eight.

2(x - y) = 8

x - y = 4 - - - -(2)

Subtracting equation 1 by 2

3y = 9

y = 3

Now,

x - y =4

x -3 = 4

x = 7

Thus, the required larger and smaller number is 7 and 3 respectively.

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Answer:

$8030

Step-by-step explanation:

Answer:

Step-by-step explanation:

tuition for one year = 9,890

tuition for 2 years = 9,890 x 2 = 19,780

her savings:

8,350 + 3,400 = 11,750

what she needs?:

19,780

-11,750

= 8,030

so she needs 8,030

Solving the given equation using natural logarithms would be a better choice because the equation has a base e that is option C.

The equation x⁻⁶ = 22 can be rewritten as 1/x⁶ = 22. Taking the natural logarithm of both sides, we get:

ln(1/x⁶) = ln(22)

Using the logarithmic identity that ln(1/x⁶) = -6ln(x), we can rewrite the left-hand side as:

-6ln(x) = ln(22)

Now we can solve for ln(x):

ln(x) = -ln(22)/6

Using the property of logarithms that ln(a/b) = ln(a) - ln(b), we can simplify further:

ln(x) = ln(e⁻¹⁰/³) = -ln(22)/6

Finally, taking the exponential of both sides, we get:

x = e^(-ln(22)/6)

Since the equation involves the natural logarithm (ln), using natural logarithms would be the better choice for solving it.

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Answer:

Wait what?

Step-by-step explanation:

The value of m is 8.

The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 x 8 x 8 x 8 x …..n times = \(8^n\)

Given:

\($(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.\)

Now, solving for m

\((m-4)^4\) = 16

\((m-4)^4\) = \(4^4\)

Taking the quad root we have

m -4 = 4

m = 4+ 4

m = 8

Hence, the value of m is 8.

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The mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 is 35.2435.24 and 9.549.54 respectively.

The mean and standard deviation of the sampling distribution of the sample mean for a sample size of 4 is calculated by first taking the population mean, which is 35.2, and dividing it by the square root of the sample size, which is 4. This gives us a mean of 35.2435.24. The standard deviation of the sampling distribution of the sample mean is calculated by taking the population standard deviation, which is 9.5, and dividing it by the square root of the sample size, which is 4. This gives us a standard deviation of 9.549.54. The formula for calculating the mean and standard deviation of the sampling distribution of the sample mean is:

Mean = Population Mean/ √n

Standard Deviation = Population Standard Deviation/ √n

Therefore, the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 is 35.2435.24 and 9.549.54 respectively.

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The linear map T₁T₂: V₁⊗V₂ → W₁⊗W₂ is well-defined and satisfies (T₁T₂)(v₁⊗v₂) = T₁(v₁)⊗W₁⊗0⊗W₂T₂(v₂) for all v₁∈V₁ and v₂∈V₂.

The universal property of the tensor product states that given vector spaces V₁, V₂, W₁, and W₂, there exists a unique linear map T: V₁⊗V₂ → W₁⊗W₂ such that T(v₁⊗v₂) = T₁(v₁)⊗T₂(v₂) for all v₁∈V₁ and v₂∈V₂. In this case, we have linear maps T₁: V₁ → W₁ and T₂: V₂ → W₂.

To show that the linear map T₁T₂: V₁⊗V₂ → W₁⊗W₂ is well-defined, we need to demonstrate that it doesn't depend on the choice of v₁⊗v₂ but only on the elements v₁ and v₂ individually. Let's consider two different decompositions of v₁⊗v₂, say (v₁₁+v₁₂)⊗v₂ and v₁⊗(v₂₁+v₂₂).

By the linearity of the tensor product, we can expand T₁T₂((v₁₁+v₁₂)⊗v₂) and T₁T₂(v₁⊗(v₂₁+v₂₂)) and show that they are equal. This demonstrates that the linear map T₁T₂ is well-defined.

Now, let's verify that the linear map T₁T₂ satisfies the desired property. Using the definition of T₁T₂ and the linearity of the tensor product, we can expand T₁T₂(v₁⊗v₂) and rewrite it as T₁(v₁)⊗W₁⊗0⊗W₂T₂(v₂). Therefore, the linear map T₁T₂ satisfies (T₁T₂)(v₁⊗v₂) = T₁(v₁)⊗W₁⊗0⊗W₂T₂(v₂) for all v₁∈V₁ and v₂∈V₂.

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An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

50

6m-n

Let m = 9 and n = 4

when m = 5 and n = 38

N-6m6*9-4

Multiply first

54-4

Then subtract

50

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This is a right triangle, so we can use the tangent function to find x:

The value of x is 8.87

First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.

The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.

The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

let $p$ and $q$ be the two distinct solutions to the equation$$\frac{4x-12}{x^2 2x-15}=x 2.$$if $p > q$. The value of $p - q$ is 4.

To find the value of $p - q$, we first need to solve the given equation and determine the values of $p$ and $q$.

The equation is:

$$\frac{4x-12}{x^2 - 2x - 15} = x^2.$$

Step 1: Factorize the denominator:

The denominator can be factored as $(x - 5)(x + 3)$.

Step 2: Simplify the equation:

$$\frac{4x-12}{(x - 5)(x + 3)} = x^2.$$

Step 3: Multiply both sides of the equation by $(x - 5)(x + 3)$ to eliminate the denominator:

$$(4x - 12) = x^2(x - 5)(x + 3).$$

Step 4: Expand and rearrange the equation:

$$4x - 12 = x^4 - 2x^3 - 15x^2 + 25x.$$

Step 5: Rearrange the equation and combine like terms:

$$x^4 - 2x^3 - 15x^2 + 21x - 12 = 0.$$

Step 6: Factorize the equation:

$$(x - 3)(x + 1)(x - 2)(x + 2) = 0.$$

From this, we get four possible solutions: $x = 3$, $x = -1$, $x = 2$, and $x = -2$.

However, we are interested in the two distinct solutions $p$ and $q$, where $p > q$. Therefore, the values of $p$ and $q$ are $p = 3$ and $q = -1$.

Finally, we can find the value of $p - q$:

$$p - q = 3 - (-1) = 3 + 1 = 4.$$

Hence, the value of $p - q$ is 4.

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Answer:

<AEB = 51.2

Step-by-step explanation:

Remark

A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90

Equation

2.7x + 8 + 3.8x - 22 = 90      combine like terms on the left.

6.5x - 14 = 90                        add 14 to both sides

6.5x = 90 + 14

6.5x = 104                              Divide by 6.5

x = 104/6.5

x = 16

<AEB = 2.7*16 + 8

<AEB = 51.2

Answer:

the number of times he washes the car

Step-by-step explanation:

Answer:

y < 4

Step-by-step explanation:

Answer:

six plus y is less than 10

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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Answer:

Step-by-step explanation:

We can use the analysis of variance procedure to test hypotheses about three or more groups and their mean differences. ANOVA is a powerful tool for testing hypotheses about differences among group means, variability within and between groups, and interaction effects in multifactor studies.

The procedure compares the variability between the groups to the variability within the groups, and determines whether the observed differences in means are statistically significant. This can be used to test hypotheses about the effect of a treatment, the comparison of multiple groups, or the relationship between an independent variable and a dependent variable. Overall, the analysis of variance procedure provides a powerful tool for hypothesis testing in research, and can be used to draw conclusions about the population from a sample of data. The analysis of variance (ANOVA) procedure is a statistical method used to test hypotheses about:

Differences among group means: ANOVA helps to determine if there are significant differences among three or more group means, enabling researchers to compare multiple groups simultaneously. Variability within and between groups: ANOVA compares the variability of data points within each group to the variability between groups. This analysis helps identify if the variation is due to factors of interest or random chance. Interaction effects: In a multifactor ANOVA, the procedure can test for interaction effects between independent variables. This helps to understand if the effect of one factor on the dependent variable is dependent on the levels of another factor.

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Answer:

next Slopes are 4 and 20

Step-by-step explanation:

they are  

Answer:

to find the slop you need to divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Im srry if this didn't help :c its a bit confusing

Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.