Q.1: Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.

THANKS ​

Answer:

12 ft

Step-by-step explanation:

15x2=30 6x2=12 simple

Given the specified matrix multiplication, the appropriate match is:

Rows and columns of numbers are arranged in a matrix. Learn the basics of matrices, including their dimensions and components. A rectangular matrix is a grouping of numbers into rows and columns.

Given Four multiplication of matrices

from the Properties of multiplication of matrices:

Thus, we can say that if we multiply a constant with a matrix or a scalar quantity with the matrix it will automatically multiply with each element of the matrix

[tex]3*\left[\begin{array}{ccc}1&2\\3&4\end{array}\right][/tex]

=> [tex]\left[\begin{array}{ccc}1*3&2*3\\3*3&4*3\end{array}\right][/tex]

=> [tex]\left[\begin{array}{ccc}3&6\\9&12\end{array}\right][/tex]

Therefore, the correct match for the given matrix multiplication is:

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The monthly payment of the loan is approximately $299.71. The monthly payment (M) of the loan can be calculated using the formula M L where L is the loan amount (in dollars), i is the monthly interest rate (in decimal form), and r is the term (in months).

Therefore, to calculate the monthly payment, we first need to find the monthly interest rate (i) and the term (r). The annual interest rate is 6%, so the monthly interest rate is 6/12 = 0.5%.

The loan term is 3 years, which is equivalent to 3 x 12 = 36 months.

Now, we can substitute the values into the formula:

M = (L*i) / (1 - (1+i)^(-r))where L = $10,000, i = 0.5%, and r = 36M = (10000*0.005) / (1 - (1+0.005)^(-36))

M ≈ $299.71

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Therefore, the correct statement reflecting George's conclusion is "From the ratio test, r = 0.4. The series converges."

The nth term of a series is represented by an=2^n/5^n+1 ⋅n.

George correctly applies the ratio test to determine whether the series converges or diverges.

The ratio test is a method used to check whether a series converges or diverges. The ratio test compares the nth term of a series to the (n + 1)th term of the series.

The ratio test can be applied to series with non-negative terms.  From the given series, The nth term of a series is given by  an=2^n/5^n+1 ⋅n  By applying the ratio test, we get; an+1/an = [2^(n+1)/(5^(n+1) + 1)*(n + 1)] / [2^n / (5^n + 1)*n] an+1/an = [2^(n+1)*n / (5^(n+1) + 1)*n+1] * [(5^n + 1)*n / 2^n] an+1/an = (2n / (5n + 1)) * (5n + 1) / 2an+1/an = n / 5n + 1 Therefore, we have r = lim n→∞ | an+1/an |= lim n→∞ |n/5n+1| = 1/5 < 1 From the ratio test, r = 1/5. Since r < 1, the series converges.

Therefore, the correct statement reflecting George's conclusion is "From the ratio test, r = 0.4. The series converges."

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Answer:

C

Step-by-step explanation:

Given

x² + 5x - 36

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)

The factors are + 9 and - 4 , since

9 × - 4 = - 36 and 9 - 4 = + 5, thus

x² + 5x - 36 = (x + 9)(x - 4)

Thus (x + 9) is a factor

Answer:

the 4th one

Step-by-step explanation:

Answer:

c=2

Step-by-step explanation:

7c=14

c=14/7

c=2

Answer:

108 in

Step-by-step explanation:

Step 1: Find conversion

1 ft = 12 in

Step 2: Convery

9 ft · 12 in/ft = 108 in

To get this answer, multiply each coordinate by the scale factor

(1/3)*9 = 9/3 = 3

(1/3)*12 = 12/3 = 4

The rule is [tex](x,y) \to (kx, ky)[/tex] where k is the scale factor. This rule only works if the center of dilation is the origin.

Answer:

32

Step-by-step explanation:

12 * (3 + 2²) / 2 - 10

12(3 + 4) / 2 - 10

12(7) / 2 - 10

84 / 2 - 10

42 - 10

32

Best of Luck!

Answer:

Step-by-step explanation:

[tex]12\times (3+2^2)\div 2-10\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3+2^2\right)\:\\:\quad 7\\\\=12\times \:7\div \:2-10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:12\times \:7\div \:2\:\\:\quad 42\\\\=42-10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:42-10\:\\:\quad 32[/tex]

Answer:

AB is parallel to AC

Step-by-step explanation:

AB is opposed to AC

Answer:

-1/5

Step-by-step explanation:

make them have the same denominator by multiplying -1/2 by 5 on the bottom and top which then gives you -5/10 + 3/10 that then gives your -2/10 which reduces to -1/5

Answer:

∠A = 48°

Step-by-step explanation:

All angles in a triangle add up to 180°

Answer:

im just tryna get points  

Step-by-step explanation:

Answer

Step-by-step explanation:

só love só lovesó love só lovesó love só só love só lovessó love só lovesó love só loveó love só lovelovesó love só love

Answer:

when y =15

Step-by-step explanation:

2(y-8)=14

2y-16=14 (add 16 to both sides)

2y=30 (divide both sides by 2)

y=15

Answer:

area: 20 i think

perimeter: 18

pic below

Answer:

15: 5*3

30: 3*10 15*2 5*6

18: 6*3 9*2

17: none??

-30^2 : -30*(-30)=-900

12^4 : 12*12*12*12= 20736

11^3 : 11*11*11=1331

Step-by-step explanation:

you have to find every pair of numbers that when multiplied give for example number 15( so thats 15*3)

ex: 12^4: base is 12 and power is 4, we multiply base 12 4 times, so thats going to be 12*12*12*12=20736

Answer:

27.  1,3,5,15

28.  1,2,3,5,6,10,15,30

29.  1,2,3,6,9,18

30.  1,17

--------------------------------------

31.  30x30=900

32.  12x12x12x12= 20,736

33. 11x11x11= 1331

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Answer:

from my point of view your answer will be 1/3

Answer:

$31 dollars every week.

To show that S+ is a subspace of[tex]R^n,[/tex] where S+ is the set of vectors orthogonal to every vector in S, we need to verify that S+ satisfies the three properties of a subspace: it contains the zero vector, it is closed under addition, and it is closed under scalar multiplication.

First, we know that the zero vector, denoted as 0, is orthogonal to every vector in S since the dot product of any vector in S with the zero vector is always zero. Therefore, the zero vector is an element of S+.

Next, we need to show that S+ is closed under addition. Let w₁ and w₂ be vectors in S+. For any vector v in S, we have (v · w₁) = 0 and (v · w₂) = 0. Now, consider the vector w = w₁ + w₂. We need to show that (v · w) = 0 for all v in S. Using the linearity property of the dot product, we have (v · w) = (v · w₁) + (v · w₂) = 0 + 0 = 0. Therefore, w is orthogonal to every vector in S, and thus w is an element of S+.

Lastly, we need to show that S+ is closed under scalar multiplication. Let c be a scalar and w be a vector in S+. For any vector v in S, we have (v · w) = 0. Now, consider the vector cw. Using the linearity property of the dot product, we have (v · cw) = c(v · w) = c(0) = 0. Therefore, cw is orthogonal to every vector in S, and thus cw is an element of S+.

Since S+ contains the zero vector, is closed under addition, and is closed under scalar multiplication, we can conclude that S+ is a subspace of [tex]R^n[/tex]

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The region enclosed by the circle x² + y - 16x  in polar coordinates is the entire plane except for the origin. To describe the region enclosed by the circle in polar coordinates, we can rewrite the equation of the circle as follows; x² + y - 16x = 0x² + y

x² + y - 16x = 0x² + y

= 16x

Now, we need to convert the equation to polar coordinates;

r²cos²θ + rsinθ - 16rcosθ = 0r(cos²θ - 16cosθ) + rsinθ

= 0r(cos²θ - 16cosθ + 64)

= 64r = 64/(cos²θ - 16cosθ + 64)

We know that cos²θ - 2cosθcosθ + 1 + sin²θ = 1

Therefore, cos²θ - 2cosθ + 1 + sin²θ = 1cos²θ + sin²θ - 2cosθ + 1

= 2(1 - cosθ)²

= 4sin²(θ/2)²

Let's substitute into the equation of r above;

r = 64/(cos²θ - 16cosθ + 64)

= 64/(64sin²(θ/2)²)

= 1/sin²(θ/2)²

Since the sine function is always nonnegative, r is defined for all values of θ. Also, r > 0.The region enclosed by the circle in polar coordinates is the entire plane except for the origin.

We have shown that r is always positive, which means that the circle never passes through the origin. Therefore, the region enclosed by the circle in polar coordinates is the long answer: entire plane except for the origin.

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Answer:

2500

Step-by-step explanation:

10,000/3,000=10/3

10x750=7500

7500/3=2500

For the given condition 2500 liters of carbonated water are needed to produce 750 bottles of soda.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, at a bottling plant, 10,000 liters of carbonated water are needed to produce 3,000 bottles of soda.

300 bottles of soda =  10,000 liters of carbonated water

By using the unitary method, we can determine the value of a single unit and, using that value, determine the value of the necessary number of units.

1 bottle of soda =  10,000 liters / 300

The amount of carbonated water needed to produce 750 bottles of soda is found as,

750 bottles of soda =  (10,000 liters / 300)×750

750 bottles of soda = 25,000 liters

Thus, for the given condition 2500 liters of carbonated water are needed to produce 750 bottles of soda.

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Answer:

Step-by-step explanation:

Given equations

Solving the first equation for x:

Then solving for y:

Solution set:

Answer:

I think 58'is right answer

The equation y = 4 + x relates the total Amount of gasoline in the tank, y, to the number of gallons Jayne put in the tank, x.

The equation that relates the total amount of gasoline in the tank, y, to the number of gallons that Jayne put in the tank, x, can be derived based on the given information.

Since Jayne already had 4 gallons of gas in the tank, the total amount of gasoline in the tank, y, would be the sum of the initial amount (4 gallons) and the amount Jayne put in, x.

Therefore, the equation that relates y to x can be written as:

y = 4 + x

In this equation, y represents the total amount of gasoline in the tank (in gallons) and x represents the number of gallons that Jayne put in the tank.

By adding the initial amount of gas (4 gallons) to the amount she put in (x gallons), we get the total amount of gasoline in the tank.

For example, if Jayne puts 10 gallons of gas in the tank, the equation would be:

y = 4 + 10

Simplifying this equation, we find that y = 14, meaning there would be a total of 14 gallons of gas in the tank.

In summary, the equation y = 4 + x relates the total amount of gasoline in the tank, y, to the number of gallons Jayne put in the tank, x.

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Answer:

22.472

Step-by-step explanation:

Answer:

i think 10.90

Step-by-step explanation:

The 2-year moving average is one of the most commonly used forecasting techniques, especially for time-series data, which tends to fluctuate frequently. The moving average formula is used to determine the average value of a particular data set. A moving average of order n (MA(n)) is the average of n preceding values.

In forecasting, the 2-year moving average formula can be used to forecast a particular year based on the two preceding years' data. The 2-year moving average formula is as follows:MA(2) = (Yt-1 + Yt-2) / 2Therefore, if the forecast for year 6 using a 2-year moving average is 3775 miles, it means that the 2-year moving average of the data used to calculate this value is equal to 3775. The formula for calculating the mean absolute deviation (MAD) is as follows:MAD = Σ |F - A| / nWhere:F = forecasted valueA = actual valueN = number of observationsTherefore, if we use the 2-year moving average to make the forecast, the MAD will be calculated as follows:MAD = |3775 - Y5| + |3775 - Y4| + |3380 - Y3| / 3. To calculate the 2-year moving average, we need to use the data from the two preceding years. Therefore, to calculate the forecast for year 6, we need to use the data from year 4 and year 5. If we assume that the data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the 2-year moving average as follows:MA(2) = (Yt-1 + Yt-2) / 2MA(2) = (3400 + 3200) / 2MA(2) = 3300 milesTherefore, the forecast for year 6 using the 2-year moving average is 3300 miles. However, the question states that we should round our response to the nearest whole number. Therefore, the forecast for year 6 using the 2-year moving average is 3300 miles.To calculate the MAD based on this forecast, we need to use the actual data for the years that we used to calculate the forecast. Therefore, if the actual data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the MAD as follows:MAD = Σ |F - A| / nMAD = |3775 - 3770| + |3775 - 3400| + |3300 - 3200| / 3MAD = 1.7Therefore, the MAD based on this forecast is 1.7 miles. However, the question states that we should round our response to one decimal place. Therefore, the MAD based on this forecast is 1.7 miles.

Conclusion:In conclusion, the 2-year moving average is a useful forecasting technique for time-series data. It helps to smooth out the fluctuations in the data and provide a more accurate forecast. The formula for calculating the 2-year moving average is straightforward, and it requires only two preceding years' data. The MAD is another useful metric that helps to measure the accuracy of the forecast. It calculates the absolute difference between the forecasted value and the actual value and provides a measure of how far the forecast is from the actual value. Therefore, it is essential to calculate the MAD to assess the accuracy of the forecast.

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Answer:

1.8 = 18/10 = 9/5

0.2 = 2/10 = 1/5

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Answer:

no

Step-by-step explanation:

the arrow is between 140 and 130 so it will be 135. If it was between 140 and 150 then it could be 145 degrees.