If the measure of angle W is 58 degrees, what is the measure of ALL remaining angles?

The Taylor series for the function (1 + 9x) centered at x = 0, the correct option is:

A. 1 + 9x + 9\(x^2\) + 9\(x^3\) + 9\(x^4\) + ...

To find the Taylor series for the function (1 + 9x) centered at x = 0, we can expand it using the Taylor series formula. The formula for a Taylor series expansion of a function f(x) centered at a is:

f(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)\((x - a)^2\) + (f'''(a)/3!)\((x - a)^3\) + ...

In this case, we have f(x) = (1 + 9x), and we want to expand it centered at x = 0. Let's find the derivatives of f(x):

f'(x) = 9

f''(x) = 0

f'''(x) = 0

...

Substituting these values into the Taylor series formula, we get:

f(x) = f(0) + f'(0)(x - 0) + (f''(0)/2!)\((x - 0)^2\) + (f'''(0)/3!)\((x - 0)^3\) + ...

f(x) = 1 + 9x + 0 + 0 + ...

So, the first four nonzero terms of the Taylor series for the function (1 + 9x) centered at x = 0 are:

1 + 9x

Therefore, the correct option is:

O A. 1 + 9x + 9\(x^2\) + 9\(x^3\) + 9\(x^4\) + ...

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Answer:

-32.4

Step-by-step explanation:

What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4

Answer:

The answer is A. -32.4

Step-by-step explanation:

What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4

Hope this helps  :)

Answer:

x=1/2, y=4

Step-by-step explanation:

2x+3y=13

or,y=(13-2x)/3 ........eq(i)

4x-y=-2

or,y=4x+2 ..............eq(ii)

From eq(i) and (ii),

(13-2x)/3=4x+2

or,13-2x=12x+6

or,13-6=12x+2x

or,7=14x

or,x= 7/14

x=1/2

y=4×(1/2)+2

y=4

Answer:

29%

Step-by-step explanation:

Amount of girls in his class: 13/24

13/24 x 13/24 = 169/576 or 0.2934...

Basically, 29%

Based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

To determine if the evidence supports the claim that the true average echo duration of lightning flashes is 0.8 seconds, we need to check if the value 0.8 falls within the confidence interval.

The 95% two-sided confidence interval for the true average echo duration is (0.743, 0.877). Since the value 0.8 falls within this interval, it means that the true average echo duration of lightning flashes of 0.8 seconds is within the range of values that is supported by the data.

Therefore, based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

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sunglasses are on sale this week for $17 and they were formally $20.

$20 x .15= $3

A= 15%

The first step is to find the mean number of incorrect answers. Since there are 11 questions, and each question has a 50/50 chance of being answered incorrectly, we can expect the student to get 5.5 questions wrong on average.

Next, we need to calculate the variance. To do this, we can use the formula:

Variance = p(1-p)n

Where p is the probability of getting a question wrong (0.5), and n is the number of questions (11).

Variance = 0.5(1-0.5)11 = 1.375

Finally, we can find the standard deviation by taking the square root of the variance:

Standard deviation = sqrt(1.375) = 1.17 (rounded to two decimal places)

Therefore, the standard deviation of the number of incorrect answers on the exam is 1.17.

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Answer:

The answer is 1.2.

Step-by-step explanation:

And I do not know how to explain this

Answer:

1.24 rounded to the nearest tenth of a mile is 1.2 miles

Step-by-step explanation:

Step-by-step explanation:

We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.

Lets test this formula.

Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.

Now lets put it to use.

Octagon has 8 sides - 2 = 6.

6 * 180 = 1080

Pentagon has 5 sides - 2 = 3

3 * 180 = 540

Another Pentagon 5 sides - 2 = 3

3 * 180 = 540

We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.

1080/8 sides = 135 degrees

540 / 5 sides = 108 degrees

540 / 5 sides = 108 degrees

We add these up,

135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.

Hope this helps

Answer:

4x

Step-by-step explanation:

you have 3 of x and add another x to get 4 of x

Answer:

4x

Step-by-step explanation:

everytime the variable is alone it stands for 1 so,

x is the same as 1x it's invisible 1 so no one puts it so,

3x + x is the same as 3x + 1x = 4x.

Ace- The Kid Laroi- Artist-Rapper, songwriter.

Answer:

-9

Step-by-step explanation:

\((f^-^1o g^-^1)(-13)\\f^-^1(g^-^1(-13))\\g^-^1(-13) = -7\)

the inverse function is essentially where the inputs and outputs are swapped

\(f^-^1(-7) = -9\)

The 99% confidence interval for the mean starting salary for all recent computer science graduates is ($73,007, $76,193).

1. Confidence level and formula:

  The confidence level is 99%, which corresponds to a significance level (α) of 1% or 0.01. We will use the formula for constructing a confidence interval for the population mean:

  Confidence interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

2. Calculation of critical value:

  Since the sample size is large (n = 100), we can use the standard normal distribution to find the critical value. For a 99% confidence level, we need to find the critical z-value corresponding to an area of 0.995 in the tails of the distribution. The critical value is approximately 2.626.

3. Calculation of the confidence interval:

  Given that the sample mean is $74,600 and the standard deviation is $4700, and plugging in the values for the critical value (2.626) and the sample size (n = 100) into the formula, we can calculate the confidence interval for the mean starting salary.

4. Interpretation:

  With 99% confidence, we can say that the true mean starting salary for all recent computer science graduates is likely to fall between $73,007 and $76,193. This means that if we were to repeat the sampling process many times and construct a confidence interval each time, approximately 99% of those intervals would contain the true population mean.

Remember to calculate the critical value, plug in the values into the formula, and interpret the confidence interval in the context of the problem to determine the range within which the true mean starting salary is likely to fall.

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Answer:3/2

Step-by-step explanation: just did the test

As all sides have grown by 2/3 times, The scale factor is  2/3. Thus, option A is correct.

In its simplest form, a scale factor is the proportion between the model measurement and the actual measurement. The scale factor, as opposed to a scale ratio, does not contrast various measurement units. A model car that is scaled at one-twentieth of its real-world counterpart is said to be that size. The car is also 20 times bigger than the model, according to this statement.

16 feet is the length of a fence. The fence is depicted as being 4 inches tall on a map. Write a ratio comparing the two quantities before attempting to calculate the scale factor of the drawing to the actual fence.

Given triangle side are 6, 6, 8 and scaled triangle is 9,9,12

The corresponding sides are

6/9, 6/9, 8/12

When you simply, we get

2/3, 2/3, 2/3

As all sides have grown by 2/3 times, The scale factor is  2/3. Thus, option A is correct.

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Answer:

112 degrees

Step-by-step explanation:

A triangle is comprised of 180 degrees.

34 + 34 = 68

180 - 68 = 112 degrees

Answer:

\(Area = 30\)

Step-by-step explanation:

Given

Rectangle coordinates

\(A = (0,4)\)

\(B = (4,2)\)

\(C = (1,-4)\)

\(D =(-3,-2)\)

Required

The area of the rectangle

The area is calculated as:

\(Area = Length* Width\)

The length of the rectangle will be represented as:

\(Length = AB = CD\)

And the width is:

\(Width = BC = AD\)

Calculate distance AB using:

\(AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }\)

Where:

\(A = (0,4)\) --- \((x_1,y_1)\)

\(B = (4,2)\) \(--- (x_2,y_2)\)

\(AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }\)

\(AB = \sqrt{(- 4)^2 +(2)^2 }\)

\(AB = \sqrt{16 +4 }\)

\(AB = \sqrt{20}\)

Calculate distance BC using:

\(BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }\)

\(C = (1,-4)\) \(---(x_1,y_1)\)

\(B = (4,2)\) \(--- (x_2,y_2)\)

\(BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }\)

\(BC = \sqrt{(- 3)^2 +(-6)^2 }\)

\(BC = \sqrt{9 +36}\)

\(BC = \sqrt{45}\)

So, the area is:

\(Area = Length * Width\)

\(Area = AB * BC\)

\(Area = \sqrt{20} * \sqrt{45}\)

\(Area = \sqrt{20 * 45}\)

\(Area = \sqrt{900\)

\(Area = 30\)

The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

What is a plane?

A plane is a flat surface on which a straight line joining any two points on it would wholly lie.

Given equations are

\(4x-5y+z=16\)

\(8x-10y+2z=2\)

The distance between two planes is given by the formula:

\(D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}\)

Here from equations  

\(4x-5y+z=16\)

\(8x-10y+2z=2\)

We can also write the equation  \(8x-10y+2z=2\)  as:

\(4x-5y+z=1\)

So now the two equations are:

\(4x-5y+z=16\)

\(4x-5y+z=1\)

here a=4  b=-5  c =1 and d1=16  d2=1

Putting the values in the equation.

\(D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}\)

\(D=2.34\)

Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:

Mrs. Neduz has 3.75 gallons of soda.

Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

The value of E(XY) is equivalent or equal to -1 according to the joint pdf having function f(x, y) = xe^−x(1 + y) x ≥ 0 and y ≥ 0 0.

Given that:

f(x,y) = xe^-x(1+y), where x ≥ 0 and y ≥ 0 0.

E(XY) = ∫∞ ∫∞ xy. xe^−x(1 + y) dx dy

            0   0

E(XY) = ∫∞ ∫∞ x^2y . e^−x(1 + y) dx dy

            0   0

E(XY) = ∫∞ x^2 . e^−x (∫∞ y e^-xy dy) dx

             0                     0

E(XY) = ∫∞ x^2 . e^−x (-1/x) dx

             0

E(XY) = - ∫∞ x . e^−x dx

               0

E(XY) = - 1

Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y are equal to i.e. E(XY) = -1.

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mhorn seems to be correct

Step-by-step explanation:

yshahaa

Answer:

\(x = \{3,4,5\}\)

Step-by-step explanation:

Given

\(3x + 4 > 10\)

\(x < 6\)

Required

Solve

We have:

\(3x + 4 > 10\)

Collect like terms

\(3x > 10 - 4\)

\(3x > 6\)

Divide by 3

\(x > 2\)

So, we have:

\(x > 2\) and \(x < 6\) i.e. between 2 and 6 (exclusive)

This implies that:

\(x = \{3,4,5\}\)

Answer:

20 grams is the same as option (a) 2000 mg.

Step-by-step explanation:

To convert grams to milligrams, you multiply the value in grams by 1000 because there are 1000 milligrams in one gram. Therefore, 20 grams is equal to 20 * 1000 = 2000 milligrams.

20 grams is equal to 20000 mg.

20 grams is equivalent to 20000 mg. To convert grams to milligrams, you need to multiply the number of grams by 1000 since there are 1000 milligrams in one gram. So, 20 grams multiplied by 1000 equals 20000 milligrams.

This question is regarding the conversion of grams (a metric unit of weight) to milligrams. 1 gram is equivalent to 1000 milligrams. Therefore, to convert 20 grams to milligrams, you would multiply 20 (the number of grams) by 1000 (the number of milligrams in 1 gram).

20 grams * 1000 = 20000 milligrams

So, 20 grams is the same as 20000 milligrams, which means the correct answer to your question is b. 20000 mg.

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Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12

Your math teacher bought the book in Allegheny, where the sales tax rate is 7 percent.

What is sales tax?

A required contribution to state revenue that is added to the price of some goods, services, and transactions, imposed by the government on workers' salaries and corporate earnings, or both.

What is the use of sales tax?

Taxes, which are the primary source of funding for the federal, state, and local governments, cover the costs of highways, airplanes, rockets, road signs, buildings, public education, and the wages of millions of public servants.

Now in the question, we can solve it through percentages.

             6% of  $ 24.99 = (6/100)× 24.99

                                  =        0.06 × 24.99

                                          =    1.4994

similarly, 7%  of  $24.99 =(7/100)× 24.99

                                         =0.07× 24.99

                                            = 1.7493

        so as the tax rate is matched with the Allegheny country is 1.7493.

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Answer:

18243.906

Step-by-step explanation:

24325.208 / 4= 6081.302

meaning 1 hour is 6081.302

so 3 hours is 6081.302*3= 18243.906

The number of ways that NC license plates meet the requirement is 78125

There are 7 places to be filled in the number plate

The NC license plate can be represented as below.

Since there are 5 vowels. So, each of the first three places can be filled in 5 ways. and also each of the last four places can be filled in 5 ways.

So, each place looks like the below:

5 ways 5 ways 5 ways 5 ways 5 ways 5 ways 5 ways

So, the number of possible NC license plates that meets the requirement is

5^7 = 78125

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