4. g(x) = x + 2, find g(-6)

Answer:

t = -11 because if you add together the 6 and 5 it's 11 then

The proportion of people aged 7 to 18 years gave watching television as their favorite type of leisure activity is 300/2,200

There are 900+1,300=2,200900+1,300=2,200 people aged 7 to 18 years.

200 of those people are aged 7 to 12 years and

100 of those people that are aged 13 to 18 years gave watching television as their favorite leisure activity,

so 200+100=300  200+100=300 of the people aged 7 to 18 years gave watching television as their favorite leisure activity.

Thus the proportion of people aged 7 to 18 years who gave watching television as their favorite leisure activity is 300/2,200

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Answer:

12

Step-by-step explanation:

The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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The financial product described herein is: secured credit card.

Therefore, the financial product described herein is: secured credit card.

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Around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age a) 22 for men.

The standard marriage pattern today, based on the time a couple marries, is mid-to-late twenties.  Some marriages are contracted very late, with some in the forties.

Sociologists have pointed out that the current delay in marriages is caused by the higher priority placed on education and career by youths.

However, marriage patterns based on the type of arrangement include:

Traditionally, marriages have served two societal purposes:

Thus, around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age  22 for men.

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For this study, what is the response variable is b. Whether or not a student graduates from college.

The outcome of an experiment in which the explanatory variable is altered is the response variable. It is a variable whose variation can be accounted for by other variables. It is also known as the outcome variable or the dependent variable. As an illustration, the students wish to utilise height to predict age; hence, height is the explanatory variable and age is the response variable.

Whether a student in the example graduates from college. The university official is interested in examining this variable to see whether it has any associations with the predictor variable, which is whether students declare their majors before their junior year. A is the predictor variable. if a student chooses a major prior to entering their junior year.

Complete Question:

A university official wants to determine if a relationship exists between whether students choose their majors before their junior year and whether they graduate from college. For this study, what is the response variable?

a. Whether a student decides on his/her major before their junior year

b. Whether or not a student graduates from college.

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Answer:

It's $420

Step-by-step explanation:

3500 × 0.12 = 420

Answer:

66 R30

Step-by-step explanation:

:) :) :/ probably wrong

Answer:

66.4918032787

Step-by-step explanation:

I'm afraid that my answer isn't an answer choice you have, but if I were you, I'd go with 66, as it's the closest.

As for how I got my answer, you can just use a calculator.

She cannot draw an array of 17 counters with three rows.

The given parameters are:

Counter = 17

Rows = 3

An array is represented as:

Array = Rows * Columns

Where Rows and Columns are integers greater than 0

So, we have

3 * Column = 17

Divide by 3

Column = 5.667

Recall that Rows and Columns are integers greater than 0

This means that she cannot draw an array of 17 counters with three rows.

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The polynomial with a degree of 3, one zero at x = 5, and one double zero at x = -13 is (x + 13)(x - 5)(x + 18).

To find a possible formula for a polynomial with a degree of 3, one zero at x = 5, and one double zero at x = -13, we can use the factored form of a polynomial.

Since we have a double zero at x = -13, we know that (x + 13) is a factor of the polynomial. Additionally, we have one zero at x = 5, which means (x - 5) is another factor.

To find the third factor, we need to consider the degree of the polynomial. Since the degree is 3 and we already have two factors, the remaining factor will be linear.

Let's call the third factor (x - a), where 'a' is the unknown constant.

Therefore, the formula for the polynomial can be written as:

P(x) = (x + 13)(x - 5)(x - a)

Now, we need to find the value of 'a' to complete the polynomial formula. Since we have a double zero at x = -13, substituting x = -13 into the formula should give us zero.

0 = (-13 + 13)(-13 - 5)(-13 - a)

Simplifying this equation gives us:

0 = (-18)(-18 - a)

To solve for 'a', we can divide both sides by -18:

0 = -18 - a

a = -18

Therefore, the polynomial with a degree of 3, one zero at x = 5, and one double zero at x = -13 can be expressed as:

P(x) = (x + 13)(x - 5)(x + 18)

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Based on the given steps, the next step would be: Draw a ray PR from point P through point L and extend it further. The correct option is D.

After drawing the ray PR, you can proceed with the remaining steps to complete the construction.

The reason why we draw a ray PR from P through L is that this will create two angles with the same measure. The measure of an angle is the amount of rotation between its two rays. When we draw a ray from P through L, we are essentially rotating the ray PQ by the same amount that we rotated the ray BA. This means that the two angles will have the same measure.

Once we have drawn the ray PR, we can check to see if the two angles are congruent.

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Answer:

\(147\pi \: {mm}^{2} \)

Step-by-step explanation:

If the diameter of the semicircle is 28 mm, that means its radius is half diameter:

\(r(semicircle) = 0.5 \times 28 = 14 \: mm\)

The radius of the semicircle is equal to the diameter of the smaller circle

The radius of the smaller circle is also half diameter:

\(r(smaller \: circle) = 0.5 \times 14 = 7 \: mm\)

Now, we can find the area of the smaller circle:

\(a(smaller \: circle) = \pi \times {r}^{2} = \pi \times {7}^{2} = 49\pi \: {mm}^{2} \)

We also have to find the area of the semicircle in order to find the area of the shaded area:

\(a(semicircle) = \pi \times {r}^{2} =\pi \times {14}^{2} = 196\pi \: {mm}^{2} \)

Now, let's subtract the area of the circle from the area of the semicircle and we'll have the answer:

\(a(shaded \: area) = 196\pi - 49 \pi = 147\pi \: {mm}^{2} \)

The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.

Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:

y = 125 + 30x

To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:

y = 125 + 30*3

y = 125 + 90

y = 215

Answers: 21. y = 125 + 30x

22. $215

Answer:   px8+54x2=45

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

The Laplace transform of sin(πt) can be found using the table of Laplace transforms, which is  π / (s²+ π²).

Applying these transformations to the differential equation y'' - 4y = sin(πt), we get the following equation in terms of the Laplace transform Y(s):

s²Y(s) - s(0) - (0) - 4Y(s) = π / (s²+ π²).

Simplifying this equation, we have:

(s² - 4)Y(s) = π / (s ²+ π²).

Now, we can solve for Y(s):

Y(s) = π / [(s² - 4)(s² + π²)].

To find y(t), we need to take the inverse Laplace transform of Y(s). However, the given equation is missing the initial conditions y(0) and y'(0). Without these initial conditions, we cannot determine the complete solution for y(t) and hence cannot provide a specific answer.

In summary, the Laplace transform of the given initial value problem is Y(s) = π / [(s² - 4)(s² + π²)], but the solution for y(t) cannot be determined without the initial conditions y(0) and y'(0).

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Step-by-step explanation:

\(3x - \frac{8}{2} = x - 6\)

\( \frac{8}{2} = 4\)

\(3x - 4 + 4 = x - 6 + 4\)

\(3x = x - 6 + 4\)

\(3x - x = - 6 + 4 - x\)

\(3x - x = - 6 + 4\)

\(2x = - 2\)

\( \frac{2x}{2} = \frac{ - 2}{2} \)

\(x = - 1\)

a) The value of f(2.0001) is 2.2361.

b) The value of f(2) is 2.2361.

c) The value of f'(2) is 0.

a. To find f(2.0001), we substitute x=2.0001 in the expression for f(x):

f(2.0001) = √1+(2.0001)²

= √1+4.0004

≈ 2.2361

b. To find f(2), we substitute x=2 in the expression for f(x):

f(2) = √1+2²

= √5

≈ 2.2361

c. To estimate f'(2) using an average rate of change, we can use the formula:

f'(2) ≈ (f(2.0001) - f(2)) / (2.0001 - 2)

Substituting the values we found in parts (a) and (b), we get:

f'(2) ≈ (2.2361 - 2.2361) / (0.0001)

= 0

Therefore, the estimated value of f'(2) using an average rate of change is 0.

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The numbers in this problem are classified as follows:

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Answer:

120$

Step-by-step explanation:

as we know the formula to calculate i is (ptr)/100

so i =(1000×6×2)/100

=(12000)/100

=120$

The first quartile would be drawn at 3 and the median would be drawn

at 4.

What is the median in math?

Scores of group of students                        Frequency

                1                                                           0

                2                                                          2

                3                                                          2

                4                                                          4

                5                                                          3

                6                                                          1

                7                                                          1

First three set of scores from 1 to 3 comes under first quartile.

Median is in the center.

Last three set of scores comes under third quartile.

Therefore, the first quartile would be drawn at 3.

And the median would be drawn at 4.

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Answer:

70

Step-by-step explanation:

your height is 14, Given

Your surface area for the top face is 14

the way to make 14 from two factors is 7 and 2

therefore your height is 5 your width is 7 and your depth is 2

The chemist used 36 liters of 20% solution, 18 liters of 35 % solution, and 54 liters of 55 % solution.

An equation is an expression showing the relationship between two or more numbers and variables.

Let x represent the amount of 20% acid, y represent the 35% acid and z represent the 55% acid.

She created 108 liters of a 40 % acid mixture, hence:

x + y + z = 108    (1)

And:

0.2x + 0.35y + 0.55z = 0.4(108)   (2)

55 % solution used is 3 times the number of liters of 35 % solution used. Hence:

z = 3y   (3)

From the 3 equations:

x = 36, y = 18 and z = 54

The chemist created 108 liters of a 40% acid mixture

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Answer:

I'm unsure of what you want solved.

Step-by-step explanation:

Answer:

n< 40

Step-by-step explanation:

Step-by-step explanation:

Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not

We are given a variable transformation from (u, v) coordinates to (x, y) coordinates, where x = 4u - v and y = 2u + 2v. The absolute value of the Jacobian determinant ∂(x,y)/∂(u,v) is 10.

To calculate the Jacobian determinant for the given variable transformation, we need to find the partial derivatives of x with respect to u and v, and the partial derivatives of y with respect to u and v, and then evaluate the determinant.

Let's find the partial derivatives first:

∂x/∂u = 4 (partial derivative of x with respect to u)

∂x/∂v = -1 (partial derivative of x with respect to v)

∂y/∂u = 2 (partial derivative of y with respect to u)

∂y/∂v = 2 (partial derivative of y with respect to v)

Now, we can calculate the Jacobian determinant by taking the determinant of the matrix formed by these partial derivatives:

∂(x,y)/∂(u,v) = |∂x/∂u ∂x/∂v|

|∂y/∂u ∂y/∂v|

Plugging in the values, we have:

∂(x,y)/∂(u,v) = |4 -1|

|2 2|

Calculating the determinant, we get:

∂(x,y)/∂(u,v) = (4 * 2) - (-1 * 2) = 8 + 2 = 10

Since we need to find the absolute value of the Jacobian determinant, the final answer is |10| = 10.

Therefore, the absolute value of the Jacobian determinant ∂(x,y)/∂(u,v) is 10.

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Answer:

21.1%

Step-by-step explanation:

(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%

You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%