what is the meaning of sequence in mathematic and

Answers

Answer 1

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Related Questions

please helpppp!!!
You are a male who just graduated from college with a bachelor's degree. You have a job paying $50,780.00/yr.
a.How does your salary compare to the yearly median earnings for a male with a bachelor's degree?
b. What is the difference between the yearly median earnings for a male with a bachelor's degree compared to a male who does not attend college after earning a high school diploma?

Answers

The salary $50,780 per year is lower than the yearly median.

The yearly median earnings for a male with a bachelor's degree are $40,404 higher than those for a male with a high school diploma.

a. As, the median weekly earnings for males with a bachelor's degree are $1,384.

To convert this to yearly earnings, we can multiply by the number of weeks in a year (52):

= $1,384 x 52

= $71,968

So, the salary $50,780 per year is lower than the yearly median earnings for a male with a bachelor's degree.

b. Now, The yearly median earnings for a male with a high school diploma (no college) are $607 per week. Converting this to yearly earnings:

Yearly median earnings for a male with a high school diploma

= $607 x 52 = $31,564

The difference between the yearly median earnings for a male with a bachelor's degree and a male with a high school diploma is:

= $71,968 - $31,564 = $40,404

So, the yearly median earnings for a male with a bachelor's degree are $40,404 higher than those for a male with a high school diploma.

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Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down

Answers

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

What is a rotation?

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y) → (-x, -y)

Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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1s Jeremy drew Figure 1 and Louisa drew Figure 2.
Part A
Figure 1
Figure 2
Jeremy says both figures are rectangles. Do you agree with Jeremy?
Support your answer.

Answers

Jeremy is wrong as I explained below.

As we know,

A rectangle is a quadrilateral with four right angles (90-degree angles). It is a type of parallelogram where opposite sides are equal in length. In a rectangle, the opposite sides are parallel and all angles are right angles. A square is a specific type of rectangle where all sides are equal in length. It is a regular quadrilateral with all angles equal to 90 degrees. In a square, all four sides are equal and all angles are right angles.

Thus, as we can see from the figure figure 1 is a rectangle and Figure 2 is a square so,

I do not agree with Jeremy.

Answers

The diameter of the second pile of phosphate is found to be approximately 62.6 feet.

The volume of a right circular cone is given by the formula,

V = (1/3)πr²h where volume is V, radius of the base is r, height is h, and π is approximately 3.14159. For the first pile of phosphate,

h = 15.3 feet

d = 48.6 feet

r = d/2 = 24.3 feet

Using the formula for the volume of a cone,

V = (1/3)πr²h

V = (1/3)π(24.3)²(15.3)

V = 24,249.8 cubic feet

For the second pile of phosphate,

h = 15.3 - 3.6 = 11.7 feet

r = ? (to be determined)

Using the same formula for the volume of a cone,

V = (1/3)πr²h

V = (1/3)πr²(11.7)

Since the volume of both piles is the same, we can set the two volume formulas equal to each other,

(1/3)π(24.3)²(15.3) = (1/3)πr²(11.7)

Simplifying,

(24.3)²(15.3) = r²(11.7)

r² = (24.3)²(15.3)/11.7

r = 31.3 feet (rounded to the nearest tenth)

Therefore, the diameter of the second pile of phosphate is d = 2r = 62.6 feet (rounded to the nearest tenth).

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Complete question - As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown.

Height of the cone is 15.3 feet

Diameter of the base of cone is 48.6 feet

A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same. To the nearest tenth of a foot, what is the diameter of the second pile of phosphate?

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.6 ppm and standard deviation 1.3 ppm. 15 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.a-What is the distribution of X? X ~ N(........,.......) b-What is the distribution of X bar? X bar ~ N(......,.....) c-What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants?
d-For the 15 cities, find the probability that the average amount of pollutants is less than 9.3 ppm.

e)For part d), is the assumption that the distribution is normal necessary? yes or no f. Find the IQR for the average of 15 cities.
Q1 = ............ ounces
Q3 = ............ ounces
IQR: ............ ounces

Answers

The interquartile range for the average of 15 cities is 1.8.

a) X ~ N(9.6, 1.3)

b) X bar ~ N(9.6, 0.13)

c) The probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants can be calculated using the z-score formula: P(X < 9.3) = P(Z < (9.3 - 9.6) / 1.3) = 0.338.

d) The probability that the average amount of pollutants is less than 9.3 can be calculated using the z-score formula: P(Xbar < 9.3) = P(Z < (9.3 - 9.6) / 0.13) = 0.819.

e) The assumption that the distribution is normal is indeed necessary for part d.

f) The IQR for the average of 15 cities can be calculated as follows: Q1 = 8.7 and Q3 = 10.5. IQR = 10.5 - 8.7 = 1.8.

Therefore, the interquartile range for the average of 15 cities is 1.8.

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7. Your ability to borrow money at lower rates improves as you save more ○ you earn more O your debt ratio increases your credit score increases ____. (1 point)

Answers

Answer:True

Lower interest rates reuslt in saving more money.

Alice is cutting pieces of cloth to sew into a quilt. She cut one piece of cloth into a parallelogram with a base of 7 inches and a height of 4 inches. What is the area of this piece of cloth?

Answers

Answer:

28 in²

Step-by-step explanation:

Area of parallelogram = base X vertical height

= 7 X 4

= 28 in²

Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane

How many unique ways are there to arrange the numbers in the 5 lanes

Answers

Step-by-step explanation:

5 P 5 = 120 ways = 5!

Food fryers manufactured by a company that supplies food trucks can fry a mean of 132.4 pounds of food per hour with a standard deviation of 3.9 pounds per hour. In a given hour, how much food would 95% of these fryers fry?

Answers

The correct answer is 120.7 pounds per hour to 144.1 pounds per hour.

120.7, is the correct answer.

Asher solved the equation below:

4x = 64
4x − 4 = 64 − 4
x = 60

Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

your wrong you divide by 4 60/4=15 there

Asher’s solution is incorrect. Asher failed to identify the coefficient of 4 (4x = 4•x) and treated it as if 4 was added to x, not multiplied. Because 4 is indeed the coefficient of x (meaning 4 is multiplying variable “x”), Asher should have applied the appropriate inverse operation of division on both sides of the equation to cancel out the coefficient of 4, thus isolating “x”. Asher would have to apply the division property of equality to keep the equation balanced.

Here’s the correct solution:

Given: 4x=64

Solve for x: divide both sides by 4:

4x/4=64/4

x=16

I need more help please!!!

Answers

Answer:

Hi!, if you need help right away, chat with a tutor!

Step-by-step explanation:

Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.

Answers

The way that I would do it is turn 3/10 and 2/3 into decimals by dividing the 2 by 3 and 3 by 10

2/3 = 0.66 and 3/10= 0.3

Then multiply both by the total amount

1050 x 0.66 = 693
1050 x 0.3 = 315

Add them both together

693 + 315 = 1008

Then subtract 1008 from 1050

1050-1008 = 42

What is the area of this figure? 4 ft 13 ft 4 ft 4 ft 13 ft 9 ft 8 ft 4 ft 24 ft 7 ft 5 ft 15 ft Write your answer using decimals, if necessary.

Answers

The area of the figure is 183.5 ft².

We have,

The figure has two types of shapes.

Two rectangles and one triangle.

Now,

Area of rectangle = Length x Width

Area of triangle = 1/2 x base x height

Now,

Rectangle 1:

Area = 7 x 5 = 35 ft²

Rectangle 2:

Area = 4 x (4 + 5) = 4 x 9 = 36 ft²

Triangle:

Area = 1/2 x (11 + 4) x 15 = 1/2 x 15 x 15 = 112.5 ft²

Now,

The area of the figure.
= 35 + 36 + 112.5

= 183.5 ft²

Thus,

The area of the figure is 183.5 ft².

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End Behavior

Describe the end behavior of the following functions using limit notation, please.

Answers

1. f(x) = (2x² + 4x + 4) / x³ = 0; as lim x→∞, and lim x→-∞

2. g(x) = (2x² + 4x + 4)/x² = ∞; as lim x→∞, and lim x→-∞]

3. h(x) = (2x² + 4x + 4)/x = ∞ as lim x→∞, and -∞ as lim x→-∞.

What is the behavior of the functions?

To find the end behavior of each of the functions, we can take the limit as x approaches infinity and negative infinity.

For f(x) = (2x² + 4x + 4)/x³;

lim x→∞ (2x² + 4x + 4) / x³ = 0

lim x→-∞ (2x² + 4x + 4) / x³ = 0

f(x) approaches zero as x approaches positive or negative infinity.

For g(x) = (2x² + 4x + 4)/x²;

lim x→∞ (2x² + 4x + 4) / x² = ∞

lim x→-∞ (2x² + 4x + 4) / x² = ∞

g(x) approaches infinity as x approaches positive or negative infinity.

For h(x) = (2x² + 4x + 4)/x

lim x→∞ (2x² + 4x + 4) / x = ∞

lim x→-∞ (2x² + 4x + 4) / x = -∞

h(x) approaches infinity as x approaches positive infinity, and negative infinity as well, but with a negative sign.

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The average amount of money spent for lunch per person in the college cafeteria is $7.08 and the standard deviation is $2.29. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

What is the distribution of
X? X~ N( , )
What is the distribution of
X? X ~ N( , )

For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.9379 and $7.2186.

For the group of 45 patrons, find the probability that the average lunch cost is between $6.9379 and $7.2186.

For part d), is the assumption that the distribution is normal necessary? Yes or No

Answers

(a) The distribution of X ~ N(7.08, 2.29)

(b) The probability of a patron's lunch cost is 0.049

(b) The probability of a group patron's lunch cost is 0.049

(d) The assumption of normal distribution is not necessary

(a) What is the distribution of X?

Given that

Mean = 7.08

Standard deviation = 2.29

The distribution of X is represented as

X ~ N(Mean , Standard deviation)

So, we have

X ~ N(7.08, 2.29)

(b) The probability that the lunch is between $6.9379 and $7.2186.

The z-score is calculated as

z = (x - Mean)/Standard deviation

So, we have

z = (6.9379 - 7.08)/2.29 and z = (7.2186 - 7.08)/2.29

Evaluate

z = -0.062 and z = 0.061

So, we have

P = P(-0.062 < z < 0.061)

Evaluate

P = 0.049039

Approximate

P = 0.049

This is same as part (b)

i.e. the probability that the average lunch is between $6.9379 and $7.2186 is 0.049

(d) Is the assumption necessary

No, the assumption is not necessary

This is because

The distribution has a sample size less than 25 as required by the central limit theorem

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Here are two triangles show that the triangles are similar what is the scale factor from triangle abc to abc

Answers

The two triangles are similar because angle C = C' and angle A = A'. The scale factor is 4/3

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent.

Also, the ratio of corresponding sides of similar triangles are equal.

Therefore to show that that the two triangles are equal;

Tan A = 4/3

Tan A = 1.333

A = 53.1°

Tan A' = 5.3/4

Tan A' = 1.33

A' = 53.1°

Therefore the two triangles are similar.

The scale factor = 4/3

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in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?

Answers

The measure of angle QRS in triangle QRS is 56.8 degrees.

To find the measure of angle QRS in triangle QRS, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

We know that:

- The measure of angle RSQ is 48.2 degrees

- The measure of angle SQR is 75 degrees

Let x be the measure of angle QRS. Then, we can write:

RSQ + SQR + QRS = 180

Substituting the known values, we get:

48.2 + 75 + x = 180

Simplifying and solving for x, we get:

x = 180 - 48.2 - 75x = 56.8

Therefore, the measure of angle QRS in triangle QRS is 56.8 degrees.

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−9, −4, 1, 6, .. aremetric or geometric

Answers

This is an arithmetic sequence

(Score for Question of 15 pointS! 1. The data set shows the January 1 noon temperatures in degrees Fahrenheit for a particular city in each of the past 6 years. 28 34 27 42 52 15 Answer 15 27 28 34 42 52 (a) What is the five-number summary of the data set? 15,27,28,34,42,52 (b) What is the mean, X, of the data set? 33 (c) What is the sum of the squares of the differences between each data value and the mean? Use the table to organize your work. (x − x)² 15-33--18 27-33=-6 28-33=-5 34-33-1 42-33-9 52-33-19 (15-33)^2-324 (27-33)^-36 (28-33)=25 (34-33)^2=1 (42-33142-81 (52-33)^2-361 Sum:828
(d) What is the standard deviation of the data set? Use the sum from Part (c) and show your work.
pls need answer for (d) thanks!

Answers

Answer:

To many questions, and too many numbers

Step-by-step explanation:

You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.

Answers

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Pls hep!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

98 mm²

Step-by-step explanation:

This parallelogram has a base of 7 and height of 14 mm.

The height is the vertical distance between the two bases

The area = b x h = 7 x 14 = 98 mm²

[tex]\huge\mathcal{\fcolorbox{aqua}{azure}{\red{➳Aɳʂɯҽɾ}}}[/tex]

Refer the attachment for clarity:-

[tex] \colorbox{yellow}{\red{Formula\: Base\: x \:Height= Area}}[/tex]

[tex]\sf{\leadsto 7×14}[/tex]

[tex]{ \red{ \sf 98m {m}^{2} }}[/tex]

______________________________

[tex]\bold{Thank ~you~:)}[/tex]

.will give brainless

Answers

Step-by-step explanation:

OK, 'Brainless'.... the triangle side length rule states that any two sides of a triangle must sum to greater than the remaining side length...

42 + 20 > x then 12 , 20, 22, 32, 42, 50 will work here

42+x > 20 all of the possibles work here

20 + x > 42 32, 42, 50, 62 and 70 work here

so 32 and 42 are in all of the lists ....that is your answer

AC is a straight line. Find the measure of

Answers

The measure of <BED = 135 degrees

How to determine the value

To determine the value, we need to know the following;

Supplementary angles are defined as a pair of angles whose sum is 180 degrees.Angles on a straight line is the same measure as 180 degreesThe sum of the interior angles of a triangle is 180 degreesAngle at right angle is 90 degrees.

From the information given, we have that;

Angle AED + Angle ACD are on a straight line

Now, susbtitute the values, we have that;

135 + ACD = 180

collect like terms

ACD = 180 - 135

subtract the values

ACD = 45

Then, we have that;

<BED = <ACD + <BEC

Substitute the values

<BED = 45 + 90

<BED = 135 degrees

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(20 points) I really need help with this problem, if someone who 100% knows the answer and can show step by step. please and thank you!

Answers

The total surface area of the given pyramid is: 95 ft²

What is the surface area of the pyramid?

To get the surface area of the given pyramid, we will find the individual areas of all surfaces and add up to get the total surface area.

Formula for area of a triangle is:

A = ¹/₂bh

where:

b is base

h is height

Formula for area of a rectangle is:

A = Length * Width

Thus:

Total surface area of pyramid = 4(¹/₂ * 5 * 7) + (5 * 5)

Total surface area of pyramid = 70 + 25

Total surface area of pyramid = 95 ft²

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Ordena las siguientes medidas de mayor a menor. 5 dam³ 530 m³ 5.480 m³ 5,5 dam 5 dam 61 m²

Answers

The set of capacity measures related to cubic meter are ordered from the greatest to the least:

5.5 dam³, 5.480 m³, 5 dam³, 5 dam³, 530 m³, 61 m³

How to order different capacity measures

In this problem we need to order a group of capacity measures in cubic meters and its related units from the greateast to the least. To make this we need to understand the following relations:

1 dam³ = 1000 m³1 m³ = 1 m³

Now we proceed to order the following set of information:

First, write the set of measures:

5 dam³, 530 m³, 5.480 m³, 5.5 dam³, 5 dam³, 61 m³

Second, convert all measures in cubic decameters into cubic meters:

5.000 m³, 530 m³, 5.480 m³, 5.500 m³, 5.000 m³, 61 m³

Third, order all the set from the greatest to the least:

5.500 m³, 5.480 m³, 5.000 m³, 5.000 m³, 530 m³, 61 m³

Fourth, rewrite the set of measures in its original units:

5.5 dam³, 5.480 m³, 5 dam³, 5 dam³, 530 m³, 61 m³

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The diameter of a circle is 8cm. Find its circumference to the nearest tenth.

Answers

Answer:

[tex]C = 25.1 \text{ cm}[/tex]

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

[tex]C = \pi d[/tex]

Note: This formula can also be written as [tex]C = 2\pi r[/tex] because [tex]2r = d[/tex].

↓ plugging in the given radius

[tex]C = 8\pi \text{ cm}[/tex]

↓ rounding to the nearest tenth

[tex]\boxed{C = 25.1 \text{ cm}}[/tex]

I need the answer to the problem

Answers

i can’t really see the problem properly but i would say C sorry if i’m wrong :(

♥
Translations
Essential Question: What are the properties of a translation?
Do Now :
What is a reflection rule that maps the triangle D(3, 6), E(-4,-3), F(6, 1)
and its image D'(1, 6), E (8, -3), F'(-2, 1)?

Answers

The reflection rule that maps triangle DEF onto triangle D'E'F' is a reflection across the line that passes through (2,2) and (−1.25,2.75).

A translation is a type of transformation that moves all the points of a figure the same distance and in the same direction.

The shape and size of the figure do not change, only its position in the plane.

(3, 6)--->(1,6)

3-x=1

x=-2

(x-2, y)

To find the reflection rule that maps the triangle D(3, 6), E(-4,-3), F(6, 1) onto its image D'(1, 6), E(8, -3), F'(-2, 1), we need to determine the line of reflection.

In triangle the point where the perpendicular bisectors intersect will be the center of the reflection.

We find that the midpoint of DE is (−0.5,1.5), the midpoint of DF is (4.5,3.5), and the midpoint of EF is (1,−1).

The perpendicular bisectors of DE and DF intersect at (2,2), and the perpendicular bisectors of DE and EF intersect at (−1.25,2.75).

Therefore, the reflection rule that maps triangle DEF onto triangle D'E'F' is a reflection across the line that passes through (2,2) and (−1.25,2.75).

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Haley is returning from a business trip. Her empty suitcase has a mass of 5.1 kg. Her clothes have a combined mass of 14.8 kg. Haley also wants to pack 4 gifts, each with a mass of 870 g. The airline restriction for a suitcase is a limit of 22.7 kg. Can Haley bring everything home in her suitcase? If not, how many gifts can she pack? Explain.

Answers

From the calculation, she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.

What can she pack?

We know that we have to consider the restriction that the airline has placed. We have been told that the luggage that have to be packed in this case would have to be less than 22.7 kg.

We would now have to look at all the things that Haley would need to pack so as to determine what can be packed and what can not be packed.

Total luggage that she has to pack;

Mass of empty suitcase + mass of her clothes + mass of 4 gifts

Total luggage = 5.1 Kg + 14.8 Kg + 4(0.87) = 23.38 Kg

This implies that she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.

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Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0

Answers

The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

Selecting the conic section of the equation

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle