Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?

Answer:

y=9b to the second power t over m

Step-by-step explanation:

should look like this

y=9b^2t/m

Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

Step-by-step explanation:

Answer:

Well, we learned before that we can look at the graphs. Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Step-by-step explanation:

Answer:(x-1)(x+8)

Step-by-step explanation: You need to set it up as (x+y)(x+z) format. To get that you need to flip the zeroes making them the opposite. So the answer in this case would be (x-1)(x+8).

The set of parametric equations for the rectangular equation y = 3x - 9, with t = 0 at the point (4, 3), is y = 3t + 3.

To find a set of parametric equations that satisfy the given condition y = 3x - 9, t = 0 at the point (4, 3), we can express the rectangular equation in parametric form using a parameter, typically denoted by t.

Let's begin by introducing the parameter t and assigning initial values for x and y at t = 0. From the given condition, we have x = 4 and y = 3 when t = 0.

Now, we can express x and y in terms of t and write the parametric equations:

x = f(t)

y = g(t)

To find the expressions for f(t) and g(t), let's analyze the relationship between x and y in the rectangular equation y = 3x - 9.

From the equation, we can rearrange it to solve for x:

x = (y + 9) / 3

Now, we have an expression for x in terms of y. However, we want to express x and y in terms of the parameter t. To do this, we substitute y in terms of t into the expression for x:

x = ((g(t) + 9) / 3)

Therefore, we have the parametric equation:

x = ((g(t) + 9) / 3)

Next, we need to determine the expression for g(t). To find g(t), we observe that when t = 0, y = 3. This means that g(0) = 3. Since the slope of the equation y = 3x - 9 is 3, we can express g(t) as:

g(t) = 3t + 3

Substituting this expression for g(t) into the equation for x, we get:

x = ((3t + 3 + 9) / 3)

x = (3t + 12) / 3

x = t + 4

Therefore, the set of parametric equations for the rectangular equation y = 3x - 9, with t = 0 at the point (4, 3), is:

x = t + 4

y = 3t + 3

These parametric equations represent the relationship between x and y in terms of the parameter t. As t varies, the point (x, y) traces out a curve on the Cartesian plane. In this case, the curve is a straight line with a slope of 3 and passing through the point (4, 3). As t increases or decreases, the point moves along this line, resulting in a linear relationship between x and y.

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Answer:

See below in bold.

Step-by-step explanation:

1. x^2 - 13x - 30

We need 2 numbers whose product is -30 and whose sum = -13.

They are  -15 and + 2:

Answer is (x - 15)(x + 2).

2.   2x^2 + 4x - 126

First we can take 2 out to give:

2(x^2 + 2x - 63)

Now we need 2 numbers whose product is - 63 and sum = +2.

These are +9 and - 7 so

Answer is  2(x - 7)(x + 9).

3. -30x^3 + 3x^2 + 9x

First we can take out -3x to give

-3x(10x^2 - x - 3)

Now we want  2 numbers whose product is 10*-3  = -30 and whose sum is -1. They are  -6 and +5 so we write the above as:

-3x(10x^2 + 5x - 6x - 3)

Now we factor the parentheses by grouping:

= -3x( 5x(2x + 1) - 3(2x + 1)

= -3x(2x + 1)(5x - 3)  Answer.

The answer to the second part is 12x^2 - 13x - 21.

Part 3

1, 18.

2. 6.

3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2

=  5*(67) - 2(72) - 48

= 143.

4.  (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)

= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9

=  8m^2 - 4m - 5

A = 8, B = 4 and C = 5.

By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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The equation of the linear function is y =4x + 8

From the question, we have the following parameters that can be used in our computation:

The table of values

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx + 8

From the table, we have

A unit increment in x gives an increment of 4 in y

This means that

m = 4

So, we have

y = 4x + 8

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Answer:

6 Lawns

Step-by-step explanation:

You can set up a ratio

\( \frac{3}{120} = \frac{x}{240} \)

Now we cross multiply

\(120x = (3)(240)\)

\(120x = 720\)

Lastly we will divide by 120 to get X alone

\(x = 6\)

Answer:

0.72 or 1/72

Step-by-step explanation:

I didn't really understand that question

QwQ

I think it's 18/25 not sure if that's right or not but If the number you need to make into a simplified fraction is 72. you would put 72/100 by using the GCD Or HCF method. either one would work tbh

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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A trapezoid is a four-sided polygon with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs. A trapezoid may have two pairs of parallel sides, in which case it is called a parallelogram.\

Statements Reasons

AB BE CB BD | Given

CB = AB | Property of symmetry (reflexive property)

BE = BD | Given

ZABC ≅ ZDBE | SAS (Side-Angle-Side) congruence theorem

AABC - ADBE | Definition of area of a trapezoid, since ABC and DBE are congruent trapezoids

The area of a trapezoid is given by the formula:

Area = (base1 + base2) * height / 2

where base1 and base2 are the lengths of the two parallel sides, and height is the perpendicular distance between the bases.

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The expected value or mean μ of the random number generator is 5.

To find μ, the expected value or mean of the random number generator that picks a number uniformly from one to nine, we can use the formula for the mean of a discrete uniform distribution.

In a discrete uniform distribution, all outcomes have equal probabilities. Since the random number generator picks a number from one to nine uniformly, each number has a probability of 1/9.

The formula for the mean of a discrete uniform distribution is:

μ = (a + b) / 2

where a is the minimum value and b is the maximum value of the distribution.

In this case, a = 1 and b = 9. Substituting these values into the formula, we have:

μ = (1 + 9) / 2

= 10 / 2

= 5.

Therefore, the expected value or mean μ of the random number generator is 5.

Question: A random number generator picks a number from one to nine in a uniform manner. Then find the mean (\(\mu\)).

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The parent function of a parabola is y = x².

A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.

The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.

Its graph passes through the origin (0,0) and lies in first and second quadrant.

One or more parabolas can be easily obtained by transforming the parent function of the parabola.

Therefore, the parent function of parabola is given by y = x².

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

y + 1 = 7(x + 2)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Slope m = 7

Point (-2, -1)

Step 2: Write Equation

Substitute in variables into general form.

y + 1 = 7(x + 2)

The value of the the function h(x) at x = 4 is given as follows:

8.7.

The quadratic regression equations for each table are given as follows:

The function for the first item is defined as follows:

h(x) = 50/(5.5 + 8e^(-0.9x)).

At x = 4, the value assumed by the function is obtained replacing the lone instance of x by 4, hence:

h(4) = 50/(5.5 + 8e^(-0.9(4))).

Then a calculator is used to obtain the exact value due to the exponential, hence:

h(4) = 8.7.

The regression equations are obtained inserting the points of each table into a quadratic regression calculator.

For the first table, the points are given as follows:

(16, 15), (18, 15.6), (20, 15.7), (21, 15), (23, 13.1), (26, 8.9), (27, 6.6).

Hence the equation is of:

y = -0.127x² + 4.699x - 27.777.

For the second table, the points are given as follows:

(3, 330), (4, 276), (5, 263), (6, 86), (7, 174), (8, 198), (9, 553).

Hence the equation is of:

y = 32.86x² - 379.14x + 1229.14.

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Answer:

If that means division then here

Step-by-step explanation:

4/2=2

then,

2+8=10

a. The marginal PMFs of U and V can be obtained by summing over all possible values of the other random variables: P(U = u):\(= sum_{v=-u}^{u} P(U = u, V = v), P(V = v) \\\\= sum_{u=|v|}^{2-|v|} P(U = u, V = v).\)

and b. P(V = -1) = P(X = 1, Y.

a. The joint probability mass function (PMF) of U and V, we can use the definition of U and V and the fact that X and Y are independent Bernoulli(0.5) random variables:

For U = X + Y and V = X - Y, we have:

U = 0 if X = 0 and Y = 0

U = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)

U = 2 if X = 1 and Y = 1

V = 0 if X = 0 and Y = 0

V = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)

V = -1 if X = 1 and Y = 1

Using the above equations, we can write the joint PMF of U and V as:

P(U = u, V = v) = P(X = (u+v)/2, Y = (u-v)/2)

Since X and Y are independent Bernoulli(0.5) random variables, we have:

P(X = x, Y = y) = P(X = x) * P(Y = y) = 0.5 * 0.5 = 0.25

Therefore, we can write the joint PMF of U and V as:

P(U = u, V = v) =

{ 0.25 if u+v is even and u-v is even, and u+v >= 0

{ 0 otherwise

The marginal PMFs of U and V can be obtained by summing over all possible values of the other variable:

\(P(U = u) = sum_{v=-u}^{u} P(U = u, V = v)\\P(V = v) = sum_{u=|v|}^{2-|v|} P(U = u, V = v)\)

b. To check if U and V are independent, we need to show that their joint PMF factorizes into the product of their marginal PMFs:

P(U = u, V = v) = P(U = u) * P(V = v) for all u and v

Let's consider the case where u+v is even and u-v is even:

P(U = u, V = v) = 0.25

P(U = u) * P(V = v) =

\(sum_{v'=-u}^{u} P(U = u) * P(V = v') * delta_{v,v'}\)

= P(U = u) * P(V = v) + P(U = u) * P(V = -v) if u > 0

= P(U = u) * P(V = 0) if u = 0

delta_{v,v'} is the Kronecker delta function that equals 1 if v = v' and 0 otherwise.

Therefore, U and V are independent if and only if P(U = u) * P(V = v) = P(U = u, V = v) for all u and v.

Now let's compute the marginal PMFs of U and V:

P(U = 0) = P(X = 0, Y = 0) = 0.25

P(U = 1) = P(X = 0, Y = 1) + P(X = 1, Y = 0) = 0.5

P(U = 2) = P(X = 1, Y = 1) = 0.25

P(V = -1) = P(X = 1, Y

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The expected number of smokers in a random sample of 150 students from this university is 15.

To calculate the expected number of smokers in a random sample of 150 students at a university where 10% of students smoke, you simply multiply the total number of students in the sample by the percentage of students who smoke:
Expected number of smokers = Total number of students x Percentage of smokers
= 150 students x 10%
= 150 x 0.10
= 15
So, if we know that 10% of students smoke at this university, and we have a random sample of 150 students, we can calculate the expected number of smokers as follows:

Expected number of smokers = 150 x 0.10 = 15

Therefore, we can expect that there will be approximately 15 smokers in a random sample of 150 students from this university.


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Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:

z = -0.52.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is Z with a p-value of -0.3, hence z = -0.52.

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Answer:

r = 1

Step-by-step explanation:

  Direct variation describes a relation ship in which two variables are directly proportion and is represented as,

 y = rx or

\(\sf r =\dfrac{y}{x}\)

From the table,

      \(\sf r =\dfrac{5.8}{5.8}\\\\r = 1\)

The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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Explanation:

The proof can make use of the ASA congruence postulate.

__

Statement . . . . Reason

AB║CD, AD║BC . . . . definition of parallelogram

∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem

ΔACD ≅ ΔCAB . . . . ASA congruence postulate

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer: 5 x 5 x 7

Step-by-step explanation: 5 x 5 x 7

In Exponential Form:

52 x 71

CSV Format:

5, 5, 7

Prime[3] = 5, Prime[4] = 7

⇒You are expected to solve for x in this point.
I will use the law of exponent that states that

⇒\(x^{n} *x^{m} \\=x^{n+m}\)

\(9^{x+7} =9^{24} \\x+7=24\\x=24-7\\x=17\)

GOODLUCK!!!

Answer:

The solution of the system is:

(x, y) = (-1, -6)

Step-by-step explanation:

Given the system of equations

-6x – 3y = 24

4x – 2y = 8

solving the system of equations

\(\begin{bmatrix}-6x-3y=24\\ 4x-2y=8\end{bmatrix}\)

\(\mathrm{Multiply\:}-6x-3y=24\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12x-6y=48\)

\(\mathrm{Multiply\:}4x-2y=8\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:12x-6y=24\)

so

\(\begin{bmatrix}-12x-6y=48\\ 12x-6y=24\end{bmatrix}\)

adding the equations

\(12x-6y=24\)

\(+\)

\(\underline{-12x-6y=48}\)

\(-12y=72\)

so the system of equations becomes

\(\begin{bmatrix}-12x-6y=48\\ -12y=72\end{bmatrix}\)

solve -5y=72 for y

\(-12y=72\)

Divide both sides by -12

\(\frac{-12y}{-12}=\frac{72}{-12}\)

Simplify

\(y=-6\)

\(\mathrm{For\:}-12x-6y=48\mathrm{\:plug\:in\:}y=-6\)

solving

\(-12x-6\left(-6\right)=48\)

\(-12x+6\cdot \:6=48\)

\(-12x+36=48\)

subtract 36 from both sides

\(-12x+36-36=48-36\)

Simplify

\(-12x=12\)

Divide both sides by -12

\(\frac{-12x}{-12}=\frac{12}{-12}\)

\(x=-1\)

Therefore, the solution of the system is:

(x, y) = (-1, -6)