1 1/5 + 3 2/5

And also

4 1/2 - 1 1/3

Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

Answer:

x = -3

y = 3

Step-by-step explanation:

C = (-3,3)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

C

Step-by-step explanation:

Polynomials should consist of only non-negative integer powers of x. Thus B and D are definitely not. It might be possible to simplify A into something that looks like a polynomial, but it’s a bit difficult. If you just need to choose one, then C is definitely a good choice.

My incomplete attempt of factorizing A:

\(\frac{x^5(x^6-4)}{x^5(x^{-5}+1)} = \frac{x^5}{1+x^5}(x^3+2)(x^3-2)\)

The value of a for which the equation has an infinite number of solutions is 5.

The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.

The equation given is written below:

Both sides of the equation must have the same value for an infinite number of solutions.

12x + 30 = 6(2x + a)

Simplifying the equation:

12x + 30 = 12x + 6a

Canceling 12x both sides. We get,

the value of a = 5

The value of a for which the equation has an infinite number of solutions is 5.

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Answer: That would be a vertical pair and X is 38

Step-by-step explanation:

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

Answer:

1e-16

Step-by-step explanation:

(10^4)/(10^19) =

(10*10*10*10)/(10^19)=

(1,000)/(10^19) =

1,000/(10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10)=

1,000/(10,000,000,000,000,000,000) =

1,000/10,000,000,000,000,000,000 =

1e-16

Let,

Number of Advance Tickets = a

Number of Same-Day tickets = s

Given,

Total 45 tickets sold

We can write

Also, each advance ticket cost $15 and same day tickets cost $20 for a total of $825. Thus, we can write:

We will multiply the first equation by - 15 and then add both equations. Then, solve for "s". The steps are shown below:

Now, we can use this value of "s" and put it into Equation 1 and find the value of "a". Shown below:

Answer:$40

Step-by-step explanation:

Find the price of the item after the discount was applied.

Find the discount percentage that was applied to the price.

Divide the discount percentage by 100.

Subtract that number from 1.

Divide the after-discount price by that number.

This number is the original price of the item, pre-discount.

Answer:

$19.43

Step-by-step explanation:

when 5.5 pounds cost $14.74 then 1 pound costs $2.68

because 14.74 divided by 5.5 equals 2.68

To calculate the price of 7.25 you multiply the price for 1 pund by 7.25

7.25 * 2.68 = 19.43

Answer:

Nick earns a commission of 12/100 * $668 = $80.16 for the software he sold this week.

Step-by-step explanation:

To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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Answer:

B: 8 7/8 Lbs

Step-by-step explanation:

answer = \(15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}\)

step 1 find a common denominator

common denominator - 8

* apply *

\(\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}\)

now we have

\(15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}\)

step 2 make each fraction a improper fraction

We can do this my multiplying the big number by the denominator and adding that to the numerator.

\(15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}\)

now we have

\(\frac{121}{8} -\frac{28}{8} -\frac{22}{8}\)

Now we can subtract

remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )

so 121 - 28 - 22 = 71

so the answer is \(\frac{71}{8}\)

finally we want to change the answer back into a mixed fraction

To do this we divided 71 and 8

8 can go into 71 8 times

8 * 8 = 64

71 - 64 = 7

We're left with \(8\frac{7}{8}\)

Answer: 12.2

Step-by-step explanation:

Its difficult to understand which values correspond to which lines. The side 'x' appears to be apart of a right triangle. The base of the triangle was given, and so was the hypotenuse. The base is 9.6, and the hypotenuse is the radius of the circle, 15.5

Using Pythagorean's Theorem for right triangles, it states:

\(a^2+b^2=c^2\)

The values 'a' and 'b' are the sides, while the value 'c' is the hypotenuse. Plugging this in:

\(9.6^2+x^2=15.5^2\)

\(92.16+x^2=240.25\)

\(x^2=148.09\)

\(x=12.2\)

Answer:

I hope this Will help you

Answer:

yes your answer is

Hey there! I'm happy to help!

We see that at AB is halfway across our line. We see that AC is the total line.

So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.

We first will subtract our x values.

3x-x=2x

And then we subtract our numbers.

-6-5=-11

So, BC is 2x-11.

Have a wonderful day and keep on learning! :D

Answer:

Step-by-step explanation:

Since B is the midpoint, we have:

Substitute and solve for x:

Find BC:

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Given

Major axis of length = 12

Foci at ( 9 ,1 ) and ( -1, 1 )

Find

Equation of an ellipse

Explanation

As we know , major axis = 2a = 12

thus a = 6

the midpoint between the foci is the center , so

the distance between the foci is equal to 2c

now,

so , the equation of an ellipse is

Final Answer

The equation of an ellipse

Given:

A circle with center O.

\(m\angle MOP=45^\circ, m\angle PON=85^\circ\).

To find:

The measure of arc MN.

Solution:

We know that,

\(m\angle MON=m\angle MOP+m\angle PON\)

\(m\angle MON=45^\circ+85^\circ\)

\(m\angle MON=130^\circ\)

The central angles in equal to the measure of the corresponding arc.

\(Arc(MN)=m\angle MON\)

\(Arc(MN)=130^\circ\)

Therefore, the measure of arc MN is 130 degrees.

The correct answer is b. Expected value. The mean of a discrete random variable generalizes the concept of expected value. The expected value of a discrete random variable is the weighted average of all possible outcomes, where the weights are the probabilities associated with each outcome.

It represents the long-term average value that we would expect to observe if we repeated the random experiment multiple times.

In the context of a discrete random variable, the mean (or expected value) is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. It provides a measure of central tendency and represents the average value we would expect to obtain from the random variable over a large number of trials.

The population mean (mean of a variable) refers to the average value of a variable in the entire population, not specifically related to a random variable. The sample mean is the average value of a variable calculated from a sample of observations. The distribution of a discrete random variable refers to the pattern of probabilities associated with each possible outcome of the variable.

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If a small metal bar increases its temperature from 20°C to 22°C in 1 second when dropped into boiling water, it will take approximately 9 seconds for the bar to reach 90°C.

The temperature change of the metal bar can be assumed to be linear over time. From the given information, we know that the temperature increased by 2°C in 1 second. Therefore, the rate of temperature increase is 2°C per second.

To find the time it takes for the bar to reach 90°C, we can set up a proportion:

2°C / 1 second = (90°C - 20°C) / t seconds

Simplifying the proportion, we have:

2 = 70 / t

Cross-multiplying, we get:

2t = 70

Dividing both sides by 2, we find:

t = 35

Therefore, it will take approximately 35 seconds for the bar to reach 90°C.

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The probability of the carpet having no flaws is 0.431.

The area of the given carpet is 9 × 14 = 126 square feet, the probability that a carpet contains no flaws is given by:P(X = 0) = e−λ λ^X / X!Where λ = the rate of occurrence of flaws and X = the number of flaws in a given area of a carpet. Hence,λ = 1 flaw / 150 sq. ft. = 126 / 150 = 0.84X = 0

The probability of a carpet having no flaws isP(X = 0) = e−0.84 (0.84)^0 / 0! = 0.431The probability that a carpet that is 9 feet by 14 feet contains no flaws is 0.431.

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Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

Answer:

ermmm...yeah

Step-by-step explanation:

Since you bring 12 items for 4 dinners, you have a total of 12 items to choose from.

For the first dinner, you need to choose 3 items out of the 12. You can do this in:

12 choose 3 = (12!)/(3!*(12-3)!) = 220 ways

For the second dinner, you have used up 3 items in the first dinner, so you have 9 items left to choose from. You need to choose 3 items out of the 9. You can do this in:

9 choose 3 = (9!)/(3!*(9-3)!) = 84 ways

For the third dinner, you have already used up 6 items, so you have 6 items left to choose from. You need to choose 3 items out of the 6. You can do this in:

6 choose 3 = (6!)/(3!*(6-3)!) = 20 ways

For the fourth dinner, you have already used up 9 items, so you have only 3 items left to choose from. You need to choose all 3 items. You can do this in:

3 choose 3 = (3!)/(3!*(3-3)!) = 1 way

Therefore, you can choose items for the first dinner in 220 ways, for the second dinner in 84 ways, for the third dinner in 20 ways, and for the fourth dinner in 1 way.

Answer:

HCF = 6.

Step-by-step explanation:

The Highest Common factor is 6.

Other common factors are 1, 2 and 3.

Fibonacci sequence is the mathematical concept which was introduce by Italian Mathematician Fibonacci.

Therefore, Fibonacci sequence is the mathematical concept that was introduce by Italian Mathematician Fibonacci.

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Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

\(y=a(1+r)^{x}\)

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

\(f(x) = 12\cdot(1.035)^{x}\)

Comparing this function with the exponential growth function:

\(a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}\)

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

Answer:

7 Apples

Step-by-step explanation:

For this question, we can write expressions for Maria's apples and Luigi's apples and form an equation as they end up with the same amount.

Mario starts with 12 apples but gives away x number. This means Mario's final amount of apples can be represented as: 12-x

Similarly Luigi starts with 26 and gives away 3 times the amount of Mario. So the number he gave away can be represented as: 3x (3 times the number Mario gave away). Therefore we can represent Luigi's final number as: 26-3x

Since they both end up with the same number of apples, we can put these expressions equal to each other in an equation to solve for x (the number of apples Mario gave away):

Mario             Luigi

12-x       =      26-3x

12-x=26-3x

Now we just need to move the unknowns to one side and the other terms to the other, combine and solve:

12-x-12=26-12-3x

-x=14-3x

-x+3x=14-3x+3x

2x=14

2x/2=14/2

x=7

Mario gave away 7 apples.

Hope this helped!