Question 1
Tim is a car salesman and earns a 5% of the price of the cars he
sells: Last month he sold 8 cars for a total of $152,558.75.
Estimate the amount Tim earned last month.

Part A: The equation for this situation is p = 8h. Part C: The coefficient 8, rate of pay per hour, is the portion of the rule that displays the number of hours Mark worked.

An equation in mathematics is a claim made regarding the equality of two expressions. It is made up of two expressions—the right-hand side (RHS) and the left-hand side (LHS)—that are joined together by the equal symbol (=).

Equations are a vital tool for problem-solving in a wide range of mathematical and scientific disciplines since they are used to represent connections between variables. Equations can be used to simulate real-world events like object motion, electrical circuit behavior, or the spread of illness.

Let us suppose pay in dollars = p.

Let us suppose number of hours = h.

Part A: The equation for this situation is p = 8h.

Part B: The table for this situation is:

Hours Worked (h) Pay (p)

1 8

2 16

3 24

4 32

5 40

6 48

7 56

Part C: The coefficient 8, which stands for the rate of pay per hour, is the portion of the rule that displays the number of hours Mark worked.

Part D: For p = 168:

168 = 8h

h = 21

Mark worked 21 hours that week.

Part E: Because it depicts a linear relationship between pay and hours worked with a constant rate of change, the equation p = 8h is a direct variant.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

The correct statement is as follows:The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function.

Two charities set annual goals for donations. The goals for Charity 1 and Charity 2 are:Increase the total donations by $2,500 per year.Increase the total donations by 12.5% per year.Which statement is true?The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function is the true statement. Linear function and exponential function are the two primary types of functions used in the mathematical concept.The primary difference between these two functions is that linear functions form a straight line when graphed, while exponential functions form a curve.

For example, consider the two goals set by the charities in this case. It is evident that the goal of increasing donations by $2,500 per year follows a straight-line graph, whereas the goal of increasing donations by 12.5% per year follows a curve that bends upwards exponentially. As a result, the correct statement is as follows:The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function.

To know more about Charity:

https://brainly.com/question/31888282

#SPJ11

Answer:

I'm not sure what the question is, however, I believe your answer is 45 if we're talking about simple subtraction as in 15 - 60.

Step-by-step explanation:

In Toney caught 60 bees and 15 of them were marked, that would mean 45 bees are not marked.

I hope this is the answer you were looking for. Brainliest would be highly appreciated.

Answer: 6 vans

Step-by-step explanation: one of the vans would only have 6 people

Answer:

6 vans! Hope it helps!

Step-by-step explanation:

Answer:

i think 2

Step-by-step explanation:

65km ÷ x = 6 1/2km×5

65÷x = 6 1/2×5

65÷x = 13/2 ×5

65÷x = 65÷2

x = 2

so 2 is answer

answer

2

let the unknown number be x

65/x=6+1/2*5

65/x=13/2*5

65/x=65/2

65/x=32.5

x*32.5=65

x*32.5/32.5=65/32.5

x=2

Only electrostatic fields i.e. fields generated by a static charge distribution, are conservative in nature. So, Electric field intensity is not conservative vector.

This theorem generally implies that if we integrate a "derivative-like function" (f′ or f), the results depend only on the values of the original function (f) at the endpoints. This is similar to the Fundamental Theorem of Calculus.

It is referred to be a conservative vector field if a vector field F is the gradient of a function,

F=f.

The formula for work: W = F · d . 2. Calculating work done when the force field is not constant Now we'll find the work done by a force field F(x, y) =〈x − y, x + y〉 in moving an object along the linear path d from (−2,−2) to (2,2), The force field and the path are shown below.

Green's Theorem states that a line integral around the boundary of the plane region D can be computed as the double integral over the region D. where the path integral is traversed anti-clockwise.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The work done by gradient vector field is independent of path..

Therefore,

Only electrostatic fields i.e. fields generated by a static charge distribution, are conservative in nature. So, Electric field intensity is not conservative vector.

Learn more about Green's Theorem visit :

brainly.com/question/24332269

#SPJ4

The statement is false. The correct answer is A. False. The sets do not have the same cardinality.

In this case, we are comparing two sets: (4, 7, 9) and (4, 4, 7, 9, 9). To determine if the statement is true or false, we need to check if both sets contain the same elements and if they have the same cardinality.

The first set (4, 7, 9) has a cardinality of 3, as it contains three unique elements. The second set (4, 4, 7, 9, 9) has a cardinality of 5, as it contains five elements (though some are duplicated). Since the two sets have different cardinalities, they cannot be equal, and the statement is false.

Answer B is incorrect because although some elements of the first set are duplicated in the second set, this is not the main reason the statement is false. The primary reason is the difference in cardinality.

Answer C is incorrect because the sets do not contain the same elements; the second set has duplicate elements.

Answer D is incorrect because the requirement for the sets to be equal is not based on duplication but rather on having the same elements and cardinality.

In conclusion, the statement is false because the two sets do not have the same cardinality, and thus, they cannot be considered equal. Therefore, the correct option is A.

The question was incomplete, Find the full content below:

Determine whether the statement is true or false. If the statement is false, give a reason. (4, 7, 9) (4, 4, 7, 9, 9)

A. False. The sets do not have the same cardinality

B. False. Some elements of the first set are duplicated in the second set.

C. True. Both sets contain the same elements.

D. False. All elements in the first set should be duplicated in order for the sets to be equal.

Know more about Cardinality here:

https://brainly.com/question/31146309

#SPJ11

the diameter of the circle is

D = 16 cm

so the radius is r = D/2 = 16/2 = 8cm

the area of the circle is,

put r = 8 and pi = 3.14

thus the area of the circle is 200.96 centimetres squared.

Answer:

48.75

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

To write 120/800 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 120 by 800 what we write down as 120/800 and we get 0.15

120/800 as a decimal equals 0.15

Answer:

120/800 as a decimal equals 0.15

Step-by-step explanation:

What is 120/800 as a decimal?

To write 120/800 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 120 by 800 what we write down as 120/800 and we get 0.15

And finally we have:

120/800 as a decimal equals 0.15

Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

Answer: h < 7

Step-by-step explanation:

h + 3 < 10

h + 3 - 3 < 10 - 3

simplify:

h < 7

In summary, the function f(x, y) = ln(x + y - 8) is considered. To evaluate the function at specific points, we substitute the given values into the function. The domain of the function is determined by identifying the valid values for x and y that satisfy the given conditions. The range of the function refers to the set of possible output values.

To elaborate, in part (a), evaluating f(3, 6) means substituting x = 3 and y = 6 into the function. This gives f(3, 6) = ln(3 + 6 - 8) = ln(1) = 0. In part (b), evaluating f(e, 8) involves substituting x = e and y = 8. Hence, f(e, 8) = ln(e + 8 - 8) = ln(e) = 1.

For part (c), the domain of the function f is determined by the given conditions: x > 8, y > 8, x + y > 8, and x + y - 8 > 1. Combining these conditions, the domain can be described as x > 8 and y > 8.

Regarding part (d), the range of the function f is the set of possible output values. Since the natural logarithm function is defined for positive values, the range of f is (−∞, ∞), where ∞ represents positive infinity.

In summary, for the given function f(x, y) = ln(x + y - 8), evaluating f(3, 6) results in 0, while f(e, 8) yields 1. The domain of f is described as x > 8 and y > 8, and the range of f is (−∞, ∞).

To learn more about natural logarithm, click here:

brainly.com/question/29154694

#SPJ11

Question:

What is the smallest integer \($n$\) such that \($n\sqrt{2}$\) is greater than \($20$\)? (Note: \($n\sqrt{2}$\) means \($n$\) times \($\sqrt{2}$\).)

Solution:

Smallest integer possibility for n is 15.

Hence, the smallest possible integer is 11.

Answer:

15

Step-by-step explanation:

In order to compare $n\sqrt{2}$ to $20$, we can compare the square of $n\sqrt{2}$ to the square of $20.$ We have

\begin{align*}

\left(n\sqrt{2}\right)^2 &= \left(n\sqrt{2}\right)\left(n\sqrt{2}\right) = n^2 \left(\sqrt{2}\right)^2 = n^2\cdot 2= 2n^2,\\

20^2 &= 400.

\end{align*}Therefore, we have $n\sqrt{2} > 20$ whenever $n^2 > 200.$ Since $14^2 = 196$ and $15^2 = 225,$ we know that $\boxed{15}$ is the smallest integer $n$ such that $n\sqrt{2}$ is greater than $20.$

Janet attributes her good grade on a difficult algebra test to her high level of mathematical skills. This most clearly indicates that she experiences a high level of self-efficacy.

Self-efficacy means belief in one's own ability to accomplish a specific task or goal. Having its indicate a strong sense of confidence in ability to successfully perform a task.

This belief can lead to positive outcomes including increased motivation, perseverance and resilience. Individuals with self-efficacy are likely to set challenging goals, take on new and difficult tasks and persist in the face of setbacks.

Read more about self-efficacy

brainly.com/question/10575222

#SPJ1

The 95% confident interval for the true mean length of stay of all hospital patients is (3.716, 5.284) days.

To find a 95% confident interval for the true mean length of stay of all hospital patients, we can use the formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as the product of the critical value and the standard error, where the critical value is determined based on the desired confidence level and the standard error is the standard deviation divided by the square root of the sample size.

Given:

Sample mean  = 4.5 days

Standard deviation (σ) = 4 days

Sample size (n) = 100

Confidence level = 95%

First, let's calculate the critical value. Since the sample size is large (n > 30), we can use the Z-table to find the critical value for a 95% confidence level. The critical value corresponds to a 2-tailed test, so we need to find the value that leaves 2.5% in each tail.

Looking up the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Next, let's calculate the standard error:

Standard error (SE) = σ / sqrt(n)

SE = 4 / sqrt(100)

SE = 4 / 10

SE = 0.4

Now, we can calculate the margin of error:

Margin of error = critical value * standard error

Margin of error = 1.96 * 0.4

Margin of error = 0.784

Finally, we can construct the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.5 ± 0.784

Confidence interval = (3.716, 5.284)

Know more about 95% confident interval here:

https://brainly.com/question/15683202

#SPJ11

Answer:

its blurry

Step-by-step explanation:

Answer:

arccos(.34) = 70.12 ≈ 70

Step-by-step explanation:

Answer:

115 persons in a population of 4,399 became ill with a disease of unknown etiology. The 115 cases occurred in 77 households.

Step-by-step explanation:

Answer:

\(-2\sqrt{3}\)

Step-by-step explanation:

\(\textsf{Given expression}: \quad(\sqrt{3}+1)(\sqrt{3}-3)\)

\(\textsf{Use the FOIL method to expand}\quad(a+b)(c-d)=ac-ad+bc-bd:\)

\(=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}+1(-3)\)

\(=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}-3\)

\(\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{a}=a:\)

\(=3-3\sqrt{3}+\sqrt{3}-3\)

\(\textsf{Collect like terms}:\)

\(=3-3-3\sqrt{3}+\sqrt{3}\)

\(\textsf{Combine like terms}:\)

\(=0-2\sqrt{3}\)

\(=-2\sqrt{3}\)

The total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.

The number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is equal to the number of combinations without repetition (denoted as C(n,r) n≥r) of 8 baseball players taken 4 at a time multiplied by the number of combinations without repetition of 13 basketball players taken 4 at a time.

The number of ways to select 4 baseball players from 8 baseball players = C(8,4)

= 8!/4!(8-4)!

= (8×7×6×5×4!)/(4!×4!)

= 8×7×6×5/(4×3×2×1)

= 2×7×5

= 70

The number of ways to select 4 basketball players from 13 basketball players = C(13,4)

= 13!/(13-4)!4!

= (13×12×11×10×9!)/(9!×4!)

= (13×12×11×10)/(4×3×2×1)

= 13×11×5

= 715

Therefore, the total number of ways to select 4 baseball players and 4 basketball players from 8 baseball players and 13 basketball players is 70 × 715 = 50,050.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ4

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

Solution 1

(10x-15) + 4 = 9

10x -11 = 9

10x = 20    -> x = 2

Solution 2 (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10      -> x = -1

Please correct me if I'm wrong.

Step-by-step explanation:

hope you can understand

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

$3100

Step-by-step explanation:

You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.

The exercise highlights that converting the dual problem into standard form and applying the primal simplex method does not yield the same algorithm as the dual simplex method. By considering a specific standard form problem and its dual, it is shown that the primal simplex method applied to the dual problem may require one or more changes of basis, unlike the dual simplex method where termination occurs immediately due to the specific structure of the problem.

In the given exercise, we have a standard form problem and its dual:

Primal Problem:

minimize 21x1 + 22x2

subject to x1 = 1

x1, x2 ≥ 0

Dual Problem:

maximize P1 + P2

subject to P1 < 1

P2 < 1

P1, P2 ≥ 0

Since there is only one possible basis in this case, the dual simplex method terminates immediately because of the specific structure of the problem.

However, if we convert the dual problem into standard form and apply the primal simplex method to it, one or more changes of basis may be required. This is because the primal simplex method operates differently from the dual simplex method and may encounter different pivot elements and entering/leaving variables during the iterations. These differences in the algorithm can lead to changes in the basis during the primal simplex method's execution.

Therefore, it is evident that converting the dual problem into standard form and applying the primal simplex method does not result in the same algorithm as the dual simplex method. The primal simplex method may require one or more changes of basis during its execution, unlike the dual simplex method, which terminates immediately in this specific problem due to the singular structure of the basis.

Learn more about primal simplex method here:

https://brainly.com/question/32936494

#SPJ11

Answer:

x+21

Step-by-step explanation:

Distribute

4x+21-3x

Combine like terms

X+21

Answer:

=x+21

Step-by-step explanation:

4x+3(7−x)

expand: 3(7-x): 21-3x

=4x+21-3x: x+21

=x+21

Hope this helped :)

All rational functions having two vertical asymptotes are listed below:

Case 3: f(x) = 1 / (x² - 16)

Case 6: f(x) = (x - 3) / [(x + 3) · (x - 5)]

In this problem we must determine which of the six rational functions have only two asymptotes. Rational functions are expression of the form:

R(x) = P(x) / Q(x)

Where:

Both P(x) and Q(x) are polynomials. There are two asymptotes if the simplified form of R(x) has Q(x) with two real roots. The simplication can be done by means of algebra properties. Finally, we proceed to check each expression:

f(x) = - 2 · (x + 2) / [(x + 2) · (x + 3)]

f(x) = - 2 / (x + 3) (One vertical asymptote)

f(x) = (x - 2) / [(x + 2) · (x - 3)] (Three vertical asymptotes)

f(x) = 1 / (x² - 16)

f(x) = 1 / [(x - 4) · (x + 4)] (Two vertical asymptotes)

f(x) = (x + 4) / (x² - 16)

f(x) = (x + 4) / [(x - 4) · (x + 4)]

f(x) = 1 / (x - 4) (One vertical asymptote)

f(x) = (x - 5) / [(x + 3) · (x - 2) · (x - 5)] (Three vertical asymptotes)

f(x) = (x - 3) / [(x + 3) · (x - 5)] (Two vertical asymptotes)

To learn more on rational equations: https://brainly.com/question/28402898

#SPJ1

The equations that have the same solution as 2X -5 equals 15 is option B and option D.

Given equation:

2x -5 = 15

solve for value of x

2x = 15 + 5

2x = 20

divide by 2 on both sides

x = 20/2

x = 10

A. 2x =10

x = 10/2

x = 5

B. 2x = 20

x = 20/2

x = 10

C. 2(x -5) = 15

2x -10  = 15

2x =25

x = 25/2

x = 12.5

D. 2x - 20 = 0

2x = 20

x = 20/2

x = 10

E. 15 = 5 - 2x

2x = 5 - 15

2x = -10

x = -5

From the option A,B,C,D,E we observe that only options B , D x value matches with the given equation x value so option B and option D is correct.

Therefore he equations that have the same solution as 2X -5 equals 15 is option B and option D.

Learn more about the equations and solution here:

https://brainly.com/question/545403

#SPJ1

Answer: B

Step-by-step explanation:

4.2 / 0.25 = 21

0.4 · 21 = 8.4

8.4 + 2.5 = 10.9

im not sure, theres no images, im here for streak pff