What is lim x->-2 x^2-4/x+2


O 4

оо

04

ODNE

Answer:

Hope it will help you.

Step-by-step explanation:They are equal because the diagonals of a rectangle are equal.

The required value of the x is given as x = 12, and Option C is correct.

The rectangle is 4 sided geometric shape whose opposites sides are equal in length and all angles are equal to 90°.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For the rectangle figure,
The measure of the diagonal is always equal,
So,
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12

Thus, the required value of the x is given as x = 12, and Option C is correct.

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Answer:

Hello!

___________________-

196 1/12 - 13 9/12 = 547/3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

547/3 I think :>

Step-by-step explanation:

Answer:

It's 1 pint

Step-by-step explanation:

If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups

An additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters.

The expression will be written as,
E = -13.7 + 15.2.

E = 1.5 meters

Therefore, the additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

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The expression n^3 - n is divisible by 6 for any nonnegative integer n.

To prove that 6 divides n^3 - n, we can factorize the expression.

n^3 - n = n(n^2 - 1)

Now, we can further factorize n^2 - 1 as (n + 1)(n - 1).

Therefore, n^3 - n can be written as n(n + 1)(n - 1).

From this expression, we can see that for any nonnegative integer n, at least one of n, n + 1, or n - 1 is divisible by 2, and at least one of them is divisible by 3.

Since 2 and 3 are both prime factors of 6, it follows that 6 divides n^3 - n for any nonnegative integer n.

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Answer: x=9

Step-by-step explanation:

24/36=6/x

24/36=2/3

2*3=6

3*3=9

Answer:

x= 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

The product in simplest form is \(-250\sqrt[3]{50}\) .

In the question,

It is given that,

\(5*\sqrt[3]{5} * (-10\sqrt[3]{50})\)

By radical laws, \(\sqrt{a} * \sqrt{b} = \sqrt{ab}\)

So,

The given question becomes:

\(-50*\sqrt[3]{50*5} = -50*\sqrt[3]{250} = -250\sqrt[3]{5} }\)

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Answer:

\(Area =351 cm^{2}\)

Step-by-step explanation:

The formula for the area of a triangle is:

\(Area = \frac{1}{2} bh\)

We can plug in the given values:

\(Area = \frac{1}{2} (26)(27)\\Area = 13(27)\\Area =351 cm^{2}\)

Answer:

351 cm^2

Step-by-step explanation:

Answer:

it will be 56

Step-by-step explanation:

maney because I am 9nyears old

Answer:

it will be 56

Step-by-step explanation:

Answer:

\(\frac{4}{15}\)

Step-by-step explanation:

I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.

Hope this helped you out.

Answer:

There are $12.50 dollares in 50 quarters

Step-by-step explanation:

50 / 4 = 12.5

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

12.50

Step-by-step explanation:

quarters = 25 cents

1 dollar = 4 quarters

50 ÷ 4 = 12.5

12 dollars and 50 cents

Answer:

x=90

Step-by-step explanation:

it is a square so: 360/4=90

The slopes of the secant lines are listed below:

Case I: m = 0

Case II: m = - √3  (aprox. 1.7321)

Case III: m = 0

Case IV: m = 2.2103

Case V: m = 5√3 / 2 (approx. 4.3301)

Case VI: m = 7.5570

Case VII: m = 0

Case VIII: m = - √3  (aprox. 1.7321)

Case IX: m = 0

Case X: m = 5

Case XI: m = - 9.8480

In this problem we find eleven cases of two pairs of points lying on a sinusoidal curve, each of which we need to determine the slope of the secant line by means of the following formula:

m = [f(a) - f(b)] / (b - a)

Where the definition of the sinusoidal function is f(x) = sin (14π / x).

Now we proceed to determine the slope of each secant line:

Case I

m = [f(2) - f(1)] / (2 - 1)

m = (0 - 0)

m = 0

Case II

m = [f(1.5) - f(1)] / (1.5 - 1)

m = (- √3 / 2 - 0) / 0.5

m = - √3  (aprox. 1.7321)

Case III

m = [f(1.4) - f(1)] / (1.4 - 1)

m = (0 - 0) / 0.4

m = 0

Case IV

m = [f(1.3) - f(1)] / (1.3 - 1)

m = (0.6631 - 0) / 0.3

m = 2.2103

Case V

m = [f(1.2) - f(1)] / (1.2 - 1)

m = (√3 / 2 - 0) / 0.2

m = 5√3 / 2 (approx. 4.3301)

Case VI

m = [f(1.1) - f(1)] / (1.1 - 1)

m = (0.7557 - 0) / 0.1

m = 7.5570

Case VII

m = [f(0.5) - f(1)] / (0.5 - 1)

m = (0 - 0) / (- 0.5)

m = 0

Case VIII

m = [f(0.6) - f(1)] / (0.6 - 1)

m = (- √3 / 2 - 0) / (- 0. 4)

m = - √3  (aprox. 1.7321)

Case IX

m = [f(0.7) - f(1)] / (0.7 - 1)

m = (0 - 0) / (- 0. 3)

m = 0

Case X

m = [f(0.8) - f(1)] / (0.8 - 1)

m = (- 1 - 0) / (- 0.2)

m = 5

Case XI

m = [f(0.9) - f(1)] / (0.9 - 1)

m = (- 0.9848 - 0) / (- 0.1)

m = - 9.8480

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Answer:

Option D

Right scalene

Step-by-step explanation:

It is the right angle triangle and not all sides are equal hence it's a Right scalene

-TheUnknownScientist 72

Answer:

right scalene

Step-by-step explanation:

because 90degree is right angle and the triangle side are not equal so scalene

Answer: look at explanation <3

Step-by-step explanation:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Answer:

Option A 26cm3

Step-by-step explanation:

have a great day

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The total number of coils in a 3-phase, 10-pole induction motor is 3600, with the number of coils per phase being 1200. The number of coils per group is 200, divided by the number of groups. The pole pitch is the distance between the centers of two adjacent poles, and the coil pitch is the distance between the centers of two adjacent coils in the same phase. The coil pitch is expressed as a percentage of the pole pitch, with a percentage of 8.33%.

Given that the stator of a 3-phase, 10-pole induction motor possesses 120 slots and a lap winding is used, we need to calculate the following:

a. The total number of coilsb. The number of coils per phasec. The number of coils per groupd. The pole pitche. The coil pitch (expressed as a percentage of the pole pitch), if the coil width extends from slot I to slot 11.Solutiona. The total number of coils:The total number of coils in the stator is equal to the product of the number of slots, the number of poles, and the number of phases.

NT = P * Q * Zs

Where,

NT = Total number of coils

p = number of poles

Q = Number of Phases

Zs = Number of Slots

Hence,

NT = 10*3*120

= 3600

b. The number of coils per phase:The number of coils per phase in a lap winding is equal to one-third of the total number of coils.

Nph = NT / 3

Where, Nph = Number of coils per phase

Hence, Nph = 3600 / 3 = 1200

c. The number of coils per group:The number of coils per group is equal to the number of coils per phase divided by the number of groups.

Ng = Nph / m

Where, Ng = Number of coils per group

m = Number of groups = 2p

Hence, Ng = 1200 / (2*3)

= 200

d. The pole pitch: The pole pitch is the distance between the centers of two adjacent poles.

Pole pitch, y = (Slot pitch * No of slots) / (2 * No of poles)

Where, y = Pole pitch

Slot pitch = (full pitch / number of slots)

= 1/10 (for 10 poles)

No of poles = 10

No of slots = 120

Hence, y = (1/10 * 120) / (2 * 10)

= 0.6e.

The coil pitch: The coil pitch is defined as the distance between the centers of two adjacent coils in the same phase. Coil pitch, y

p = (N * slot pitch) / (2 * m)

Where,

N = Number of turns per coil = 2 (as there are 2 coils per group)

Slot pitch = (full pitch / number of slots)

= 1/10 (for 10 poles)m

= Number of groups = 2p = 10

Hence, yp = (2 * 1/10) / (2 * 2)

= 1/20

The coil pitch is expressed as a percentage of the pole pitch (yp/y) * 100%.

Here, (yp/y) = (1/20) / 0.6 = 0.0833

Therefore, the coil pitch expressed as a percentage of the pole pitch is 8.33%.Thus, the calculations have been done for all the given values.

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Answer:

Chase is 7 and Aubrey is 8

Step-by-step explanation:

Let x = Chase's age

Let x + 1 = Aubrey's age

x(x + 1) = 56

\(x^{2}\) + x = 56

(x + 8) (x -7)

Chase is 7 and Aubrey is 8

The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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Answer:

12 × 12 =144

Step-by-step explanation:

144 :)

a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

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To calculate the difference in chemical energy consumption between an SUV and a minivan for a 200-mile trip to grandma's house, we need to consider the fuel efficiency of both vehicles.

Calculation of Chemical Energy Consumption:

For the SUV:

Fuel consumption = Distance / Fuel Efficiency = 200 miles / 14 mpg = 14.2857 gallons

For the minivan:

Fuel consumption = Distance / Fuel Efficiency = 200 miles / 32 mpg = 6.25 gallons

Calculation of Chemical Energy in BTU:

The energy content of gasoline is typically around 115,000 BTU per gallon.

For the SUV:

Chemical energy = Fuel consumption * Energy content = 14.2857 gallons * 115,000 BTU/gallon = 1,642,857 BTU

For the minivan:

Chemical energy = Fuel consumption * Energy content = 6.25 gallons * 115,000 BTU/gallon = 718,750 BTU

Difference in Chemical Energy = SUV's Chemical energy - Minivan's Chemical energy

= 1,642,857 BTU - 718,750 BTU

= 924,107 BTU

Therefore, the SUV will use 924,107 BTU more chemical energy than the minivan for a 200-mile trip.

Calculation of Chemical Energy in kWh:

To convert BTU to kWh, we can use the conversion factor: 1 BTU = 0.000293071 kWh.

For the SUV:

Chemical energy = 924,107 BTU * 0.000293071 kWh/BTU = 270.588 kWh

The SUV will consume approximately 924,107 BTU (270.588 kWh) more chemical energy than the minivan for a 200-mile trip to grandma's house.

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The summation notation \(\sum\limits^{2}_{n = 0} (-52 + n)\) when evaluated has a value of -153

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

\(\sum\limits^{2}_{n = 0} (-52 + n)\)

This means that we substitute 0 to 2 for n in the expression and add up the values

So, we have

\(\sum\limits^{2}_{n = 0} (-52 + n) = (-52 + 0) + (-52 + 1) + (-52 + 2)\)

Evaluate the sum of the expressions

So, we have

\(\sum\limits^{2}_{n = 0} (-52 + n) = -153\)

Hence, the solution is -153

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Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

Answer:

Thang will pay $300 as interest

Step-by-step explanation:

T = 3 years

P = $2000

R = 5%

Therefore

I = (2000 × 5 × 3)/100

I = 30000/100

I = $300

Answer:

23

Step-by-step explanation:

20*2*1=40

20+2+1=23

So the next 4 digits are:

0.34353637383940414243