Write out the first five terms of the sequence with, I determine whether the sequence converges, and if so find its limit. n. Enter the following information for an 1 a2 04 a5 TL n +5 Enter DNE if limit Does Not Exist.) Does the sequence converge (Enter "yes" or "no")

The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

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Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Answer:

x= 23/9

Step-by-step explanation:

(12 + 36x) - (12x + 18) = 36 + (6x + 4)

(12 - 18) + (36x - 12x) = 36 + 4 + 6x

-6 + 24x = 40 + 6x

-6 + 18x = 40

18x = 46

x = 46/18

x = 23/9

Answer:

23/9

Step-by-step explanation:

3(4 + 12x) - 6(2x + 3) = 36 + 2(3x + 2)

12 + 36x - 12x - 18 = 36 + 6x + 4

12 - 18 - 36 - 4 = -36x + 12x + 6x

-46 = -18x

x=46/18

x=23/9

Answer:

I’m doing that exact question right now on a test so I just guessed

Step-by-step explanation:

Answer:

sneha was owing one of her friends 9$, she asked them for another 5 dollars

now she owes 14

Step-by-step explanation:

The volume of the resulting cone is equal to 50 \(m^3\).

Given the following data:

Mathematically, the volume of a cone is given by this formula:

\(V = \frac{1}{3} \pi r^2h\)

Where:

Applying the dilation factor, we have:

\(V =(\frac{1}{3} )^3 \times 1350\\\\V=0.037037037 \times 1350\)

V = 50 \(m^3\).

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Answer:

Step-by-step explanation:

volume = ⅓×8×7×6 = 112 in³

Answer:

168

Step-by-step explanation:

Answer:

$147

Step-by-step explanation:

20×6=120 9×3=27. 120+27=147

Answer:

41

Step-by-step explanation:

12-7=5

12 times 3 equals 36

36+5=41

Answer:

41 apples

Step-by-step explanation:

12-7=5 5+12(3)=41

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Step-by-step explanation: lol like a dozen

The questions that could be used to challenge each claim goes as follows.

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Answer:

30

Step-by-step explanation:

formula :15÷100×200

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

Answer:

9k + 4

Step-by-step explanation:

Group like terms.

7k + 2k + 4

Add similar elements : 7k + 2k = 9k

= 9k + 4

Please mark brainliest if possible :)

Answer:

Step-by-step explanation:

3/(3+2) = 3/5

B is 3/5 of the distance from A to C.

Interpolate the coordinates of B:

Difference of x-coordinates = 6-(-4) = 10

3/5 of 10 = 6

x-coordinate of B = (x-coordinate of A) + 6 = -4 + 6 = 2

Difference of y-coordinates = 4-(-3) = 7

3/5 of 7 = 21/5

y-coordinate of B = (y-coordinate of A) + 21/5 = 6/5

B(2, 6/5)

Answer:

1. 1/3

Step-by-step explanation:

Slope = Rise/run

=> It rises by 1, then runs by 3

=> Therefore, slope = 1/3

i) Distance between X and Y along the equator ≊ 6258 km

ii) Distance of X from the North pole ≊ 10057 km

What is the equator ?

The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.

The Longitude difference = 123° - 67° = 56°

(i) Distance between X and Y along the equator

= (56/360)×2×(22/7)×6400cos(0)

= (56/360)×2×(22/7)×6400

= 6257.78 km  

≊ 6258 km

(ii) Latitude difference =  90°

Distance from the North pole

= (90/360)×2×(22/7)×6400

= 10057.14 km

≊10057 km

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The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

Here, 6k + 10.5 = 3k + 12

         6k - 3k = 12 - 10.5

         3k = 1.5

          k = 1.5/3

          k = 1/2

Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

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Answer:

B

Step-by-step explanation:

brainliest please?

Answer:

hi

Step-by-step explanation:

Answer:

33x²-11xy

Step-by-step explanation:

11x × (3x-y)=

33x²-11xy

x × x is x²

x × y is xy

Answer:

33x²-11xy

Step-by-step explanation:

11x × (3x - y)= 33x²-11xy

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

Two decimals are 0.34, 0.83, and 0.83 and Holland could have used it to make a sum of 2.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

We get x + x = 2x by using x to signify our missing values and the assumption that there are two missing values. We obtain the equation 2x + 0.34 since it is the product of these integers and 0.34; after setting it equal to 2, 2x + 0.34 equals 2.

First, take 0.34 off both sides to get 2x = 1.66. To get x = 0.83, divide both sides by 2 now.

Therefore, the decimals are 0.34, 0.83, and 0.83.

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Given expressions:

  Area of a rectangle  = L W

  Area of a triangle = \(\frac{1}{2} B H\)

Problem;

Create problems using the formula;

Solution:

Problem 1; Find the area of a rectangle whose length is 10cm and the width is half the size of the length?

    Given parameters:

    Length of rectangle  = 10cm

    Width of rectangle  = \(\frac{1}{2}\) x length  = \(\frac{1}{2}\) x 10  = 5cm

So, the area of the rectangle = 10cm x 5cm  = 50cm²

2. A triangle with a base length of 30cm and a height of 2cm will have an area of what?

    Given parameters:

         base length  = 30cm

         height  = 2cm

 Solution:

   Area of a triangle  = \(\frac{1}{2}\) x b x h

   Area of a triangle  = \(\frac{1}{2}\) x 30 x 2  = 30cm²

The area of the triangle will be 30cm²

The relationship between number of hours of spent watching television per week and number of hours spent working per week was assessed for a large random sample of college students.

The relationship was observed to be linear, with a correlation of r= 0.54. A regression equation was subsequently constructed to predict hours spent watching television per week based on hours spent working per week.Approximately what percentage of the variability in hours spent watching television per week can be explained by this regression equation

The coefficient of determination r² will help us determine the percentage of variability in the dependent variable that is explained by the independent variable, which is also called the explanatory variable. r² will help us determine how well the regression line (line of best fit) fits the data.

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In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument.

The initial amount and rate of interest will be $150 and 10%. Then the amount at n = 4 will be $219.62.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The rate of interest is given as,

r = [(181.50 - 165) / 165] x 100

r = (16.5 / 165) x 100

r = 0.10 x 100

r = 10%

Then the equation is given as,

A = P(1 + 0.10)ⁿ

A = P(1.10)ⁿ

At n = 1, the amount is $165. Then we have

$165 = P x (1.10)

P = $150

A = $150 (1.10)ⁿ

At n = 4, the amount is given as,

A = $150 (1.10)⁴

A = $219.62

The initial amount and rate of interest will be $150 and 10%. Then the amount at n = 4 will be $219.62.

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