Evaluate this limit without using L'Hopital's Rules

The addition of the two matrix is [34    -12    -36    -18     58]

                                                        [-42   -8      16      30     8 ]

                                                        [ 24    34     4      34     23]

                                                        [-12    -32    -12    -42   -52]

The addition of the matrix is calculated as follows;

The result to 4 multiplied by G is calculated as;

4[G] = [32   -20    -32    -8     40]

         [-24   -28     4       36     8 ]

         [ 16     24      12     28     20]

         [-16    -12       0     -40    -36]

2[F] = [2      8    -4    -10     18]

         [-18   20    12   -6      0 ]

         [ 8     10    -8     6      3 ]

         [4     -20  -12    -2    -16]

The addition of the two matrix is calculated as follows;

4[G] + 2[F] =  [34    -12    -36    -18     58]

                     [-42   -8      16      30     8 ]

                     [ 24    34     4      34     23]

                     [-12    -32    -12    -42   -52]

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The mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010 is 4,353 megawatts, to the nearest megawatt.

The data for this question can be found in the following table:

Year Electricity Generated (Megawatts)

2007 4,353

2008 7,113

2009 9,403

2010 10,089

To find the mean, we simply add up the values in the table and divide by the number of values, which is 4.

Mean = (4,353 + 7,113 + 9,403 + 10,089) / 4 = 4,353 megawatts

Therefore, the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010 is 4,353 megawatts, to the nearest megawatt.

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Answer:

The value of the account will be $5,628

Step-by-step explanation:

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have    

substitute in the formula above  

therefore

The value of the account will be $5,628

Answer:

The answer is 576

Step-by-step explanation:

the formula for a right rectangular prism is L*W*H. We know that the height is 4, and the base is 12^2. Which means that the length and width are both 12. So if ew do 12*12*4 you get 576.

An appropriate measure of center for the data, and its value include the following: D. The median is the best measure of center, and it equals 19.

In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set, the five-number summary for the given data set include the following:

Minimum (Min) = 12.

First quartile (Q₁) = 17.

Median (Med) = 19.

Third quartile (Q₃) = 20.

Maximum (Max) = 24.

In conclusion, the best measure of center is the median and it is equal to 19.

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In the stanza, the exaggeration establishes impossible expectations for the Acorn.

In the outset, the Pebble boastfully consigns itself as the "boldest" and "hardiest" formation in the woodlands.

On the other hand, the Acorn is portrayed as a feeble and delicate being--establishing unreachable objectives for it to accomplish for transforming into an authoritative and resilient Oak tree.

This distinction evokes a sense of tribulation that need to be overcome by the Acorn in order to attain its full potential.

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Thee radius of the circle is 3. 696 feet

The formula that is used for calculating or determining the circumference of a circle is expressed as;

C = 2πr

Given that the parameters for the formula are expressed thus;

From the information given, we have that;

Radius = 23.21 feet

Substitute the values, we get;

23.21 = 2× 3.14r

Multiply the values

r = 23.21/6.28

Divide the values

r = 3. 696 feet

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Carolyn will need 15 square units of carpet to cover her front room. Carolyn will need 16 units of skirting board to go around the sides of her front room.

To find the area of Carolyn's front room, we need to multiply the length by the width. In this case, the dimensions are given as 5 x 3, so the area is:

Area = length x width = 5 x 3 = 15 square units

To find the perimeter of the room, we need to add up the lengths of all four sides. Since the room is rectangular, opposite sides are of equal length. So, we can find the perimeter by adding twice the length and twice the width, which gives:

Perimeter = 2(length + width) = 2(5 + 3) = 16 units

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Heracio used the computer 2 more hours to do homework than to shop online.

To solve the problem, we need to first calculate the number of hours Heracio spent on each activity:

Videos: 10% of 40 hours = 4 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Shopping: 15% of 40 hours = 6 hours

To find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 6 hours (shopping) = 2 hours

Therefore, Heracio used the computer 2 more hours to do homework than to shop online.

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First, we need to simplify the expression inside the parentheses:

4v - w = 4(4i - i) - (-9i) = 16i - 4i + 9i = 21i

Now, we can substitute the values of u, v, and w into the expression:

5u - (4v - w) = 5(-7i + 7j) - (21i) = -35i + 35j - 21i = -56i + 35j

Therefore, the final result is -56i + 35j.

Answer:

  -60i +39j

Step-by-step explanation:

You want the value of 5u -(4v -w) given ...

These are added the way any polynomials are added. Like terms can be combined.

  5u -(4v -w)

  = 5(-7i +7j) -(4(4i -j) -(-9i))

  = -35i +35j -(16i -4j +9i)

  = -35i +35j -25i +4j

  = -60i +39j

__

Additional comment

We have assumed a typo in the definition of v, that 4i-j was wanted instead of 4i-i.

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According to Jean-Claude Maleuvre's book "Museum Memories: History, Technology, Art," Gauguin's views on Polynesian women were complex and contradictory. On the one hand, he was fascinated by their exotic beauty and saw them as a source of artistic inspiration. On the other hand, he objectified and exoticized them, portraying them as primitive and sexually available. Gauguin's depictions of Polynesian women have been criticized as perpetuating colonialist stereotypes and promoting a Westernized gaze.

Answer: The graph that best represents the number of centimeters the toy car travels in x seconds would be a linear graph with a slope of 12. The equation for this graph would be y = 12x, where y represents the distance traveled in centimeters and x represents the time in seconds.

Step-by-step explanation:

The perimeter of rectangle RSTU is 21 cm.

The area of the rectangle RSTU is 27 cm².

A rectangle is a quadrilateral that has opposite side equal to each other and opposite side parallel to each other.

Therefore, let's find the perimeter of the rectangle RSTU and the area of RSTU.

Hence,

Let's find the width of the rectangle MNPQ

14 = 2(4 + w)

14 = 8 + 2w

14 - 8 = 2w

2w = 6

w = 6 / 2

w = 3 cm

Therefore, using similar ratio,

4 / 6 = 3 / RU

cross multiply

4RU = 18

RU = 18 / 4

RU = 4.5 cm

Therefore,

Perimeter of the rectangle RSTU = 2(6 + 4.5)

Perimeter of the rectangle RSTU = 2(10.5)

Perimeter of the rectangle RSTU =21 cm

Area of the rectangle RSTU = 4.5 × 6

Area of the rectangle RSTU = 27 cm²

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Answer:

D. 3.25%

Step-by-step explanation:

The formula for simple interest is:

I = Prt

where I is the interest earned, P is the principal, r is the annual interest rate, and t is the time in years.

We are given that:

I = $1430

P = $5500

t = 8 years

Substituting the values:

$1430 = $5500 * r * 8

Simplifying, we get:

r = $1430 / ($5500 * 8)

r = 0.0325 or 3.25%

Therefore, the annual interest rate of the CD is 3.25%.

Answer: D. 3.25%

Answer:

the price of each lemon bought by Encik Halim is RM1.45.

Step-by-step explanation:

Encik Halim bought 108 lemons and packed them into packets of 3 lemons each. So he made a total of 108/3 = 36 packets.

Let's assume that the cost of each lemon bought by Encik Halim is x RM.

The total cost of 108 lemons would then be 108x RM.

Encik Halim sold each packet at a price of RM6.80, so the total revenue he earned from selling 36 packets would be 36 x RM6.80 = RM244.80.

We are told that Encik Halim made a profit of RM88.20 from the sale of these packets, so his total cost would be:

Total cost = Total revenue - Profit

Total cost = RM244.80 - RM88.20

Total cost = RM156.60

We know that Encik Halim bought 108 lemons, so we can write:

Total cost = Number of lemons bought x Cost per lemon

RM156.60 = 108x

Therefore, the cost per lemon bought by Encik Halim is:

x = RM156.60/108

x = RM1.45

So the price of each lemon bought by Encik Halim is RM1.45.

The function that has a greater slope and greater y-intercept than the linear function represented in the table is,

⇒ y = 3x + 7.5

We have to given that;

The table below represents a linear equation.

Now, The equation of line is,

Take two points (- 1, 5) and (1, 9)

⇒ y - 5 = (9 - 5) / (1 + 1) (x + 1)

⇒ y - 5 = 4/2 (x + 1)

⇒ y - 5 = 2 (x+ 1)

⇒ y - 5 = 2x + 2

⇒ y = 2x + 7

Hence, By options,

The function that has a greater slope and greater y-intercept than the linear function represented in the table is,

⇒ y = 3x + 7.5

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The solution to the given equation is ( 8 , 1 )

Given data ,

To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:

x - 3y = 5: 8 - 3(1) = 5, which is true

y = x - 7: 1 = 8 - 7, which is true

Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:

Hence , (8, 1) is a solution to both equations, so it is a solution to the system

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The decimal 15.75 into a percentage is 1575%

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

Decimal = 15.75

This means that

Number = 15.75

Multiply the number by 1

so, we have the following representation

Number = 15.75 * 1

Express 1 as 100%

This gives

Number = 15.75 * 100%

Evaluate the products of 15.75 and 100

So, we have

Number = 1575%

Hence, the percentage is 1575%

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1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.

In statistics, the unitary approach is a way towards resolving proportional problems. It entails first determining the value of a single unit of either a statistic, and then applying that knowledge to determine the value of any other required number of units. Consider the scenario where we are aware that 5 bananas cost $2.50. We can employ the unitary technique to calculate the price of seven apples as follows: Determine the price of a single apple: 2.50 ÷ 5 = 0.50 .Divide the price of one banana by the quantity you want of apples. 0.50 × 7 = 3.50 .It follows that 7 bananas would cost $3.50. Additionally, this technique can be applied to more challenging issues requiring numerous ratios and proportions.

given

Divide the total number of feet of coastline by the state's population to get the amount of coastline per person in Oregon:

Total shoreline / Population equals coastline per person.

coastline divided by population (3,800,000) equals 6,000,000 feet.

1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.

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Let H: X – Y be a mapping. The set Y is called the codomain of the mapping H: X – Y.

In mathematics, a mapping or function H: X – Y is a relation between two sets, where the set X is called the domain and the set Y is called the codomain.

The mapping H assigns each element in X to a unique element in Y. The codomain of the mapping H is the set Y, which contains all the possible outputs that can be obtained from the mapping.

It represents the range of the mapping H and provides a reference set for the outputs of the function. The actual range of the function may be smaller than the codomain, depending on the elements in X that are mapped to.

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Answer:

Does this shape have at least 1 pair of parallel lines? 40

Has at least 1 pair of parallel lines

Does not have at least 1 pair of parallel

lines

More

The correct statement is A) that is found by adding the data values and dividing the total by the number of data values

What is meant by adding?

Adding is an operation in which two or more numbers or quantities are combined to obtain a sum. It is represented by the symbol "+" and is one of the four basic arithmetic operations.

What is meant by dividing?

Dividing is an operation that separates a quantity or a number into equal parts or groups. It is represented by the symbol "÷" or "/" and is one of the four basic arithmetic operations.

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The factorization of the polynomial is determined as (x + 6)(x - 2).

The factorization of the polynomial is calculated as follows;

4x² + 10 + x - 50 - x² + 4 + 11x

collecting similar terms, we will have;

3x² + 12x - 36

divide through by 3;

x² + 4x - 12

Factorize the expression as follows;

x² + 6x - 2x - 12

x (x + 6) - 2(x + 6)

(x + 6)(x - 2)

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Answer:

[tex]x = \frac{(1 + \sqrt{11})( \sqrt{3 } - 1) }{2 } [/tex]

B = (715x) / (h^2)

Step 1: Get rid of the denominator by multiplying both sides by h^2

(B)(h^2) = 715x

Step 2: Isolate x by dividing both sides by 715

(Bh^2) / 715 = x

Answer: x = Bh^2 / 715

Hope this helps!

Answer:

(x+4)(x-9)!!!!!!!!!!!!!!!!!!

Given that a₁ = 9 and aₙ = aₙ₋₁ + 2 , we can find the value of a5 by repeatedly applying the recursive formula to find a₂, a₃, a₄, and a₅.Using this method, we get a₅ is 17.

The given sequence is not defined explicitly. However, we can use the recursive formula to find the value of a5.

a₁ = 9 and aₙ = aₙ₋₁ + 2 for n > 1

To find a₂, we use the recursive formula

a₂ = a₁ + 2 = 9 + 2 = 11

To find a₃, we use the recursive formula

a₃ = a₂ + 2 = 11 + 2 = 13

To find a₄, we use the recursive formula

a₄ = a₃ + 2 = 13 + 2 = 15

To find a5, we use the recursive formula

a₅ = a₄ + 2 = 15 + 2 = 17

Therefore, the value of a₅ is 17.

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Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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