What number is 9% of 118?

The sum of the first three terms in the series is -557.921 and a bound for the error is approximately 865.474.

What is series?

In mathematics, a series is the sum of the terms of a sequence. It is represented by the sigma notation (∑), which indicates that a sequence of terms is being added together.

To calculate the sum of the series and find the bounds for the error, let's break down the problem step by step.

The series can be represented as:

\(\sum_{n=1}^{\infty} [(-1)^n * 400*n^{0.6}]\)

To find the sum of the first three terms, S3, we need to calculate the values for n = 1, 2, and 3 and then sum them up.

For n = 1:

\((-1)^1 * 400 * 1^{0.6\) = -400

For n = 2:

\((-1)^2 * 400 * 2^{0.6\) = 564.189...

For n = 3:

\((-1)^3 * 400 * 3^{0.6\) = -721.110...

Now, let's calculate the sum of the first three terms, S3:

S3 = -400 + 564.189 + (-721.110) = -557.921

The sum of the first three terms, S3, is approximately -557.921.

To find a bound for the error, we can use the Alternating Series Estimation Theorem. The theorem states that the error in approximating an alternating series is less than or equal to the absolute value of the next term.

In this case, the next term of the series would be for n = 4:

\((-1)^4 * 400 * 4^{0.6\) = 865.474...

The bound for the error is given by the absolute value of this term:

|Next Term| = |865.474...| ≈ 865.474

Therefore, a bound for the error is approximately 865.474.

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Answer:

20

Step-by-step explanation:

Let us represent the number as x. In a similar sense, half the number would be \(\frac{x}{2}\). We know that their sum is 30, so we can write the following equation:

\(x+\frac{x}{2} =30\\2x+x=60\\3x=60\\\fbox{x=20}\)

I hope this helps! Let me know if you have any questions :)

Answer:Ming pays $25.96 to the cab driver.

Step-by-step explanation:

Ming took a cab across town, his fare of cab = $22.00

He leaves a tip of 18% of total fare = 18% of $22.00

Total amount = (18% of $22) + $22.00

( 18/100× 22) + 22.00

= (0.18 × 22) + 22.00

= 3.96 + 22.00

= $25.96

Ming pays $25.96 to the cab driver.

Answer:

c. 6

Step-by-step explanation:

I hope it helps you!

Answer:

The answer is 6! (option c)

Here are my calculations

Step-by-step explanation:

P is the perimeter, A is the Area

I used the formula of the circumference inscribed in a triangle.

Answer:

10

Step-by-step explanation:

2*3=6

6+c

6+4=10

Answer:

2 x 3=6

6 + 4=10

Answer:

Min = 0

Max = 51

M = 25.5

Q1 = 16.5

Q3 = 39

Hope this helps! <3

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation:

Answer:

7.D) 107°

8. A) 123°

Step-by-step explanation:

To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)

90°+90°=180

180°+73°= 253°

360°-253°= 107°

The same for the second one. (those two angles would also be 90° each.)

90°+90°=180°

180°+57°=237°

360°-237°=123°

Answer:

it has a broken line segment because it is only has greater than sign not greater than or equal to

The probabilities are always between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

To determine the probability that a randomly chosen subcomponent has a length greater than 1260.4 mm, we need to have information about the distribution of subcomponent lengths. However, we can discuss some general concepts and approaches that can be used to estimate the probability.

If the lengths of subcomponents follow a normal distribution, we can use the properties of the normal distribution to estimate the probability. The normal distribution is characterized by its mean (μ) and standard deviation (σ). If we know these parameters, we can calculate the probability using z-scores and the standard normal distribution table.

If we have a large dataset of subcomponent lengths, we can construct an empirical distribution by plotting a histogram or a kernel density estimate. From this empirical distribution, we can estimate the probability by calculating the proportion of subcomponents with lengths greater than 1260.4 mm.

Depending on the nature of the subcomponent lengths, other probability distributions such as exponential, log-normal, or Weibull distributions may be more appropriate. Each distribution has its own set of parameters and methods for estimating probabilities.

Without specific information about the distribution of subcomponent lengths or access to relevant data, it is not possible to provide an exact probability.

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In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Let f, s, and t denote the hours needed by the first, second, and third sellers, respectively, to sell a given plant.

"In one hour, the first grower sells 3 fly traps … The second grower sells 1 fly trap … The third grower sells 3 fly traps …" - this means that for each hour f, the first grower sells a total of 3f fly traps. Similarly, the second grower sells 1s fly traps, and the third grower sells 3t fly traps. Together, they want to sell 39 fly traps, so that

3f + s + 3t = 39

You set up two more equations for the sundews and bladderworts:

f + 2s + 2t = 30

2f + s + 2t = 28

Now write the system of equations in augmented matrix form and row reduce it:

\(\left[\begin{array}{ccc|c}3&1&3&39\\1&2&2&30\\2&1&2&28\end{array}\right]\)

Add row 1 to -3 (row 2); this is to say, treating each row as a list, multiply through the second row by -3, then add the first row to that result. For example,

(3, 1, 3, 39) + -3 (1, 2, 2, 30) = (3, 1, 3, 39) + (-3, -6, -6, -90)

… = (3 - 3, 1 - 6, 3 - 6, 39 - 90)

… = (0, -5, -3, -51)

Also, add 2 (row 1) to -3 (row 3) :

\(\left[\begin{array}{ccc|c}3&1&3&39\\0&-5&-3&-51\\0&-1&0&-6\end{array}\right]\)

Multiply through the last two rows by -1 to make everything positive, and swap them around:

\(\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&5&3&51\end{array}\right]\)

Next, add -5 (row 2) to row 3 :

\(\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&3&21\end{array}\right]\)

Multiply through row 3 by 1/3 :

\(\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&1&7\end{array}\right]\)

Add -1 (row 2) and -3 (row 3) to row 1 :

\(\left[\begin{array}{ccc|c}3&0&0&12\\0&1&0&6\\0&0&1&7\end{array}\right]\)

Multiply through row 1 by 1/3 :

\(\left[\begin{array}{ccc|c}1&0&0&4\\0&1&0&6\\0&0&1&7\end{array}\right]\)

This row-reduced matrix tells you that f = 4, s = 6, and t = 7. In other words, in order for the three growers to collectively sell the required number of plants, the first seller needs to work for 4 hours, the second seller needs to work for 6 hours, and the third seller needs to work for 7 hours.

We can prove that if the diagonals of a quadrilateral bisect each other and one angle of a quadrilateral is a right angle, then the quadrilateral is a rectangle.

Let ABCD = a quadrilateral such that its diagonals AC and BD bisect each other at point O.

Let ∠A = a right angle.

Required: Prove that ABCD is a rectangle.

First, quadrilateral ABCD is a parallelogram. Since the diagonals bisect each other, we have:

OA = OC (diagonals bisect each other)

OB = OD (diagonals bisect each other)

Therefore, triangle AOB is congruent to triangle COD by SAS (Side-Angle-Side) congruence:

AB = CD (corresponding sides of congruent triangles)

Next, triangle BOC is congruent to triangle DOA, as:

BC = AD (corresponding sides of congruent triangles)

So, we have proved that opposite sides of quadrilateral ABCD are congruent, which implies that ABCD is a parallelogram.

Next, we show quadrilateral ABCD has right angles at both B and D. Since ∠A is a right angle, we have:

∠BOC = 180° - ∠A (linear pair)

∠BOC = 180° - 90° (since ∠A is a right angle)

∠BOC = 90°

Again, we show that ∠AOD = 90°. So, we have shown that quadrilateral ABCD has right angles at both B and D.

Finally, we can prove that quadrilateral ABCD is a rectangle.

Since ABCD is a parallelogram with opposite angles B and D, both right angles, then ABCD is a rectangle.

Therefore, if the diagonals of a quadrilateral bisect each other and one angle of the quadrilateral is a right angle, then the quadrilateral is a rectangle.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

The Complement of a 14° angle is 76°, while the supplement of 14° angle is 166°.

Recall that two angles that have a sum of 90 degrees are referred to as complementary angles. This implies that, if x is an angle, its complement is (90 - x).

Also, the supplement of an angle is the angle measure that is added to it to make it 180 degrees. This implies that if x is an angle, its supplement would be (180 - x).

Therefore, we have:

Complement of a 14° angle = 90 - 14 = 76°.

Supplement of 14° angle = 180 - 14 = 166°.

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Answer:

565.9

Step-by-step explanation:

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

This is a simple one.

We dont know how fast it is going downstream, but we do know it took 3 hours to reach the destination. Now, saying that, when coming back we know it took 4 hours(an hour longer than what we took to get there), and we also know we were moving 5 miles slower per hour. If we think a bit, we can see that moving 5 miles slower made us take a whole hour. Making me believe that when we were headed to our destination we were moving at 20 miles per hour, and when we were headed back, we moved at 15mph(20-5)

To check that this was correct, we can just simply check, "okay so from our point to our destination we traveled 60 miles in total. if we went 20 miles an hour, in 3 hours(3×20) we would be at our destination, and if we traveled at 15 miles an hour, it would take us 4 hours to get back to our starting point (4×15)

HOPE THIS HELPED. PLEASE CONSIDER LEAVING A 5 STAR, A HEART AND MAKING THIS THE BRAINLIEST ANSWER THAT WOULD BE SO VERY MUCH APRECIATED!!!!

Answer:

C

Step-by-step explanation:

(x-4)(x+10)=x^2+6x-40

Answer:

C. X-4

Step-by-step explanation:

A P E X

Answer:

3/8

Step-by-step explanation:

3 1/3 = 10/3

1 1/4 = 5/4

Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.

so

(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)

= (3 x 5) / (10 x 4) = 15 / 40

the numerator and denominator have a common factor of 5 so divide the  numerator and denominator by 5

15 / 40 = 3/8

Answer:

.    。    •  　ﾟ  。  　.

 　.      .    　。   。  

.   。      ඞ 。 .    •      

　ﾟ   -3.5 was the answer.  。　.

 '    1 Impostor remains    　。

 ﾟ  　.  　. ,    .  .

Step-by-step explanation:

6x + 9 = -12

      -9    -9

6x = -21

Divide -21 by 6

x = -3.5

Answer:

x+4=-8

Step-by-step explanation:

The variable x in this case would be -12.

Answer:

If your asking what I think you are then here is one.

a=2

-10+a=-8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x/4≥-6

 *4  *4

x≥-24

So it's D.

---

hope it helps

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{x}{4}\geq-6}\)

\(\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}\)

\(\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}\)

\(\large\text{MULTIPLY by 6 to BOTH SIDES}\)

\(\mathsf{4\times\dfrac{}{}x \geq 4\times-6}\)

\(\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}\)

\(\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}\)

\(\mathsf{4\times-6=\boxed{\bf -24}}\)

\(\large\text{So, the number \underline{-24} is being compared to your x-value}\)

\(\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow\)

\(\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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The vectors is perpendicular to (-4,2) will be (b) (-1,-2)

The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.

To calculate the dot product of (-4, 2) with each of the given vectors:

a) (-3.6):

(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2

b) (-1, -2):

(-4)(-1) + (2)(-2) = 4 - 4 = 0

c) (2, -3):

(-4)(2) + (2)(-3) = -8 - 6 = -14

d) (4, -8):

(-4)(4) + (2)(-8) = -16 - 16 = -32

Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).

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Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.

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Khalid can make a maximum of 7 batches of muffins using the available cornmeal because he only has 2 bags of cornmeal, and each bag provides 25 cups. Hence, the correct answer is (a) 7.

To calculate the maximum number of batches, we need to consider the total amount of cornmeal available and the amount required per batch. Khalid has 2 bags of cornmeal, with each bag containing 25 servings. Since one serving is equivalent to one cup, each bag has 25 cups of cornmeal.For each batch of muffins, 2.5 cups of cornmeal are required. Therefore, to determine the maximum number of batches, we divide the total amount of cornmeal by the amount required per batch: 25 cups / 2.5 cups per batch = 10 batches.

However, Khalid can only make a maximum of 7 batches because he only has 2 bags of cornmeal, and each bag provides 25 cups. Hence, the correct answer is (a) 7

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Answer:

(-88,3)

Step-by-step explanation:

Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

Answer:4x4−4x3−16x2+16x

Step-by-step explanation: