Find the slope of the line going through the points (1, 2) and
(0,8).

Answer:

0.55

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

(1.35 × 10^7) / (1.2 × 10^6) =

= 135/12

= 11.25

Answer: 11.25 is the answer

we have

6 magic markers yellow

4 purple

total markers = 6 + 4 = 10

therefore:

first purple

second purple

then:

The original gas price was $1.25/gal and the new gas price is $1.74/gal, indicating an increase in gas price. The increase in gas price from $1.25/gal to $1.74/gal signifies a difference of $0.49/gal.

This increase may be due to various factors, such as changes in oil prices, taxes, and transportation costs. An increase in oil prices may have led to higher production costs, and this, in turn, is reflected in the higher gas prices. Taxes levied on gasoline can also increase the final cost for consumers. Additionally, transportation costs, which include the cost of transporting oil from refineries to gas stations, can also impact gas prices.
In conclusion, the original gas price was $1.25/gal and the new gas price is $1.74/gal, indicating an increase in gas price. The increase may be due to various factors, including changes in oil prices, taxes, and transportation costs.

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Answer:

Step-by-step explanation:

The revenue function is given by R(q) = pq, where p is the price and q is the quantity. In this case, the price is given by p(q) = 7600/q^2 + 1000, so the revenue function is:

R(q) = (7600/q^2 + 1000)q = 7600 + 1000q

The marginal revenue is the derivative of the revenue function, or R'(q). In this case, the marginal revenue is:

R'(q) = 7600(-2q/q^3) + 1000 = -15200/q^2 + 1000

When the demand is 20, the marginal revenue is:

R'(20) = -15200/20^2 + 1000 = -380/5 + 1000 = 4120/5 = 824

Therefore, the marginal revenue when the demand is 20 is $824.

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Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

\(90=b+65\\b= 25\)

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

\(180=80+b\\b=100\)

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

\(244+23+b=360\\b=93\)

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

Answer:

The answer is $82.46 sales tax

$1,260.46 Total

Step-by-step explanation:

Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46

The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).

The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.

The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.

However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.

This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.

Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.

Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.

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Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

Answer:

the answer is $1062.10

Step-by-step explanation:

explanation above

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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Answer:

Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.

Step-by-step explanation:

Therefore , the solution of the given problem of graphs comes out to be to estimate the precise percentage of students who prefer each genre of music.

Theoretical physicists use graphs to analytically and variable visually present claims rather than values. A graph point typically depicts the connection between several different items. A specific type of carrier structure made up of groups or lines is known as a graph. Glue should be used to affix the edges, referred to as the channels. Within the bounds of this network, the digits from 1 to 4 as well as individuals 2.5.

Here,

These inferences can be drawn from the circular graph:

14 percent of the sample favor jazz, but without knowing the total number of participants in the sample,

we cannot estimate the precise number of students who prefer jazz.

If less than half of the students favor Hip Hop, Rock, or Jazz music, that information is not available from the circle graph.

To arrive at this conclusion, we would need to add the percentages for the three groups.

Therefore, we can only draw the conclusion that Pop and Jazz are the preferred music for 35% and 14% of the sample,

respectively; however, without more data,

we are unable to estimate the precise percentage of students who prefer each genre of music.

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Answer:

48 =x

Step-by-step explanation:

3/4x + 12 = x

Subtract 3/4 x from each side

3/4x + 12-3/4x = x-3/4x

12 = 1/4x

Multiply each side by 4

12*4 =1/4x *4

48 =x

Answer:

x=48

Step-by-step explanation:

f(x) is basically just another way to write y.

If f(x)=x, then y=x.

x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)

1/4x=12 (Subtract 3/4 from both sides of the linear equation)

x=48 (Multiply both sides by 4)

Answer:

50 degrees fahrenheit

Step-by-step explanation:

(9/5(10 degrees celsius)) +32 =50

The 95% confidence interval for the true population mean of reported larceny cases per year in small communities in Connecticut is ≈ (135.85, 143.15).

To find a 95% confidence interval for the true population mean of reported larceny cases per year in small communities in Connecticut, we can use the following formula:

CI = x ± (Z * σ / √n)

Where:

- CI is the confidence interval

- x is the sample mean (139.5 reported cases per year)

- Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

- σ is the known population standard deviation (43.3 cases per year)

- n is the sample size (30 communities)

Substituting the values into the formula:

CI = 139.5 ± (1.96 * 43.3 / √30)

Calculating the values:

CI = 139.5 ± (1.96 * 7.914 / √30)

CI = 139.5 ± 3.652

≈ (135.85, 143.15).

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we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

fy = 6e^(-2x-y).

Step 1: Find fx for the function f(x, y) = -6e^(-2x-y).

To find fx, we differentiate f(x, y) with respect to x while treating y as a constant:

fx = ∂f/∂x = -6(-2)e^(-2x-y) = 12e^(-2x-y).

Therefore, fx = 12e^(-2x-y).

Step 2: Find fy for the function f(x, y) = -6e^(-2x-y).

To find fy, we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

Therefore, fy = 6e^(-2x-y).

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Avan and Charu are both positioned 10 feet to the left and 12 feet to the right of Balin, who is in the center.

Let's assume that the people are standing in the order Avan, Balin, and Charu. Then we know that:

Avan and Balin are 10 feet apart, so the distance between Avan and Charu is 10 + 12 = 22 feet.

Charu and Avan are 2 feet apart, so the distance between Balin and Avan is 12 - 2 = 10 feet.

Therefore, Balin is in the middle, with Avan standing 10 feet to his left and Charu standing 12 feet to his right.

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The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer:

m= 5/2

Step-by-step explanation:

Answer:

B. 9 in, 4in, 6in

Step-by-step explanation:

In order to form a triangle

The sum of the lengths of any two sides of a triangle should be greater than the length of the third side. So

Let's take option B

9 + 4 > 6

13 > 6 ( True) ✔

4 + 6 > 9

10 > 9 (True) ✔

9 +6 > 4

15 > 4 ( True) ✔

So 9 in, 4in, 6in can form a triangle.

In figure one the value of   ∠2 = 65 °  ∠1 = 115° .

In figure two the value of   ∠2 = 74°  ∠1 = 106°.

In the case of parallel lines, corresponding angles are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines. According to the definition of corresponding angles, when three parallel lines intersect two of them, the angles that are present at each intersection and are in the same relative position are said to be corresponding angles. Alternate angles, co-Interior angles, and matching angles are three facts regarding angles in parallel lines that we use to do this. When a transversal crosses two parallel lines, alternate and matching angle pairs coincide. Only when a transversal crosses two parallel lines perpendicularly are consecutive angles congruent. When a transversal intersects two parallel lines, however, subsequent angles are not necessary.

Figure 1

Given angle = 65°

=  ∠2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 115

Figure 2

Given angle = 74 °

= ∠ 2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 106°

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There are approximately 31 quarters in a jar of 250 coins.

The probability of picking a quarter from a jar of coins is 0.125. To calculate the number of quarters in a jar of 250 coins, we need to use the following formula:

Number of Quarters = Total Number of Coins * Probability of Picking a Quarter

Number of Quarters = 250 * 0.125

Number of Quarters = 31.25

So, there are approximately 31 quarters in a jar of 250 coins.

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Each term of the sequence is obtained by multiplying the previous term by 2/3.

To find the sequence represented by a generating function, we can expand the function as a power series and read off the coefficients. In this case, we can write:

1/(1-7z+10z²) = (1/[(1-2z)(1-5z)]) = (A/(1-2z)) + (B/(1-5z))

where A and B are constants we need to determine. We can use partial fraction decomposition to find A and B, which gives:

A = 1/3 and B = -1/3

Now we can express the generating function as:

1/(1-7z+10z²) = (1/3)/(1-2z) - (1/3)/(1-5z)

Next, we use the geometric series formula to expand each term as a power series:

(1/3)/(1-2z) = 1/3 + 2z/9 + 4z²/27 + 8z³/81 + ...

-(1/3)/(1-5z) = -1/3 - 5z/9 - 25z²/27 - 125z³/81 - ...

Finally, we can combine the coefficients of each power of z to obtain the sequence represented by the generating function. We have:

1/3, 2/9, 4/27, 8/81, ...

This is a geometric sequence with first term 1/3 and common ratio 2/3. Therefore, the nth term of the sequence is given by the closed-form expression:

aₙ = (1/3) * (2/3)ⁿ⁻¹

We can also express the sequence recursively by noting that:

a₁ = 1/3 aₙ = (2/3) * aₙ₋₁

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Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

Answer:

Step-by-step explanation:

the 0-1 point is divided into 6 sections. you have to click three of the sections in the 6 sections.

Answer:

Click to the point that says 1

Step-by-step explanation:

3/6  is equivalent to 1/2. Half of the map is 1 because the whole map is 2.

Hope this Helps! Pls, let me know if my answer is incorrect or correct!

Have a nice day!

-kiniwih426

Answer:

You can draw the diagram.

Step-by-step explanation:

The answer is 970.

Hope this helps....

Have a nice day!!!!

The formula used to determine degrees of freedom is: Degrees of freedom (df) = (rows - 1) x (columns - 1)For a contingency table with four rows and eight columns, the degrees of freedom for the χ^2 test

for independence can be found using the above formula:df = (4 - 1) x (8 - 1)df = 3 x 7df = 21Therefore, there are 21 degrees of freedom for the χ^2 test for independence.

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Answer:

La longitud de BC es 15 cm y la longitud AB es 45 cm

Step-by-step explanation:

Ecuaciones

Tenemos un segmento AC de longitud 60 cm, dividido en dos segmentos BC y AB tal que:

AB+BC=60 cm

También sabemos que AB=3BC. Reemplazando en la ecuación anterior, tenemos:

3BC+BC=60 cm

Reuniendo términos semejantes:

4BC=60 cm

Despejando BC:

BC=60/4 = 15 cm

Como AB=3BC, entonces

AB=3*15= 45 cm.

La longitud de BC es 15 cm y la longitud AB es 45 cm