Mathematics High School

211,207,203,...
Find the 38th term.

Answers

Answer 1

Answer:

Step-by-step explanation:

Using the formula attached, we can setup the equation:

[tex]211 + (38 - 1) - 4[/tex]

Then using a calculator you can solve

Answer 2

The required 38th term of the given arithmetic sequence is 63.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4

Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4

Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63

Thus, the required 38th term of the given arithmetic sequence is 63.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

Related Questions

Sims has 2 packets of seeds, packet A and packet B. There are 12 seeds in packet A and 7of these are sunflower seeds. There are 15 seeds in packet B and 8 of these are sunflower seeds. Alia is going to take a random seed from packet A and a seed from packet B (a) complete the probability tree diagram.

Answers

Answer:

your answer is in the attachment

Step-by-step explanation:

what is the scale factor from figure A to figure B

Answers

Answer: 6/7

Step-by-step explanation:

Four students provide the following approximations for startroot 0.89 endroot. anyah states that startroot 0.89 endroot is between 0.44 and 0.45 because 0.44 less-than startfraction 0.89 over 2 endfraction less-than 0.45. matthew states that startroot 0.89 endroot is between 0 and 1 because 0 less-than 0.89 less-than 1. rhoda states that startroot 0.89 endroot is between 0.9 and 1.0 because 0.9 squared less-than 0.89 less-than 1.0 squared. ming states that startroot 0.89 endroot is between 0.93 and 0.95 because (0.93) squared less-than 0.89 less-than (0.95) squared. which solution(s) are correct? anyah's only ming's only anyah’s, matthew’s, and rhoda’s matthew’s, rhoda’s, and ming’s

Answers

Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because 0.44<0.89/2<0.45. This statement of anyah is false because the√0.89 = 0.9433.

2. Matthew states that the square root of 0.89 is between 0 and 1 because 0< 0.89<1. the value lies between 0 and 1 So this statement is true.

3. Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0. This statement is true because the square of 0.9 is 0.81 and 1.0 is 1, and 0.89 lies in between them. So the statement is true.

4. Ming states that the square root of 0.89 is between 0.93 and 0.95 because of 0.93^2 <0.89<0.95^2. this statement is also true.

Here Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

For more details on Square root;

brainly.com/question/1527773

Answer:

Step-by-step explanation:

What value of c makes x2 6x c a perfect square trinomial?

Answers

The value of c that makes the given trinomial a perfect square is 9.

The given expression is:

[tex]x^{2} +6x+c[/tex]

What is a perfect square trinomial?

A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.

Let us write the given expression in (a+b)² form

[tex]x^{2} +6x+c[/tex]

[tex]x^{2} +2*3*x+c[/tex].....(1)

We know [tex](a+b)^2=a^{2} +2ab+b^{2}[/tex]......(2)

To make (1) like we need to put c=9

[tex]x^{2} +2*3*x+9[/tex]

[tex]x^{2} +2*3*x+3^2[/tex]

[tex](x+3)^2[/tex]

Hence, the value of c that makes the given trinomial a perfect square is 9.

To get more about polynomials visit:

https://brainly.com/question/2833285

Determine the value of each expression.
3 +3+3+3
3.3.3.3
4(3)
34

Answers

Answer:

12,81,12,81

Step-by-step explanation:

3+3+3+3=6+6=12

3*3*3*3=9*9=81

4*3=12

3^4=9*9=81

Sally dug a hole 5 feet deep to plant roses. She
dug a second hole 8 feet deep for tulips.
Represent the depths as integers.
Which plant is closer to the surface?

Answers

Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

therefore, the roses are closest to the surface.

This is a lot of work into this!

Answers

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

How to determine the maximum revenue?

Represent bracelet with b and necklace with n.

From the question, we have:

b n Total

Unit 10 20 1000

Time 10 40 1600

Cost 5 7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

Read more about objective functions at:

https://brainly.com/question/16826001

what is the horizontal asymptote of j(X) = 14x^3 + 45/2x^3 +x+9 ?

Answers

Answer:

y = 7

Step-by-step explanation:

Since the biggest exponent on the top (numerator) and the bottom (denominator) are EQUAL...both are the third power in this question. Then just grab the coefficients (the number next to it, the 14 and below, the 2)

Keep them stacked the way you see them:

14/2 and write the equation. A horizontal line has the form y=

In this case, y = 14/2

y = 7

(jfyi if the top has a bigger exponent, then NO horizontal asymptote. If the bottom has a bigger exponent, then the H.A. is y = 0)

if 1/4 of a journey is 100 km what is the length of the journey

Answers

100* 1/4 =
100/4 =
25 km

1/4 is quarter, it is like saying divide 100 km into 4 parts, what is the measure of each part.

What is the total length of the tadpoles that are 1/8-inch and 1/4-inch long?

7/8 inches
1 1/8 inches
5/8 inches
3/8 inches

Answers

The dot plot shows the frequency or length of the tadpoles

The total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

How to determine the total length?

From the dot plot, we have the following parameters:

3 tadpoles have a length of 1/82 tadpoles have a length of 1/4

So, the total length is:

Total = 3 * 1/8 + 2 * 1/4

Evaluate the product

Total = 3/8 + 1/2

Rewrite as;

Total = 3/8 + 4/8

Evaluate the sum

Total = 7/8

Hence, the total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

Answers

Answer: hope I helped look down

Step-by-step explanation:

Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%

Mr. nelson has 20 students in her classroom. She noticed 3/10 of her students have blue eyes and 1/2 of the students have brown eyes. The rest of the student has green eyes. What percent of the student in mr. Nelsons class have green eyes?

Answers

20 students. divide by half for borwn eyes. 10 left. subtract 3 because 3/10. That leaves 7. If you do 20 times 5, you get 100. 7 times 5 equals 45.

The answer is 45%

A machine in a box making factory can make 57 boxes in 3 minutes. How many boxes could the machine make in 25 minutes?

Explain how you got the answer.

Answers

Answer: 475 boxes

Step-by-step explanation: i did the math

i divided 57 by 3 and it was 19 thats the amount of bxes per min then i multipyed by 25

Answer:

475

Step-by-step explanation:

In 1 minute It makes:

57/3 = 19

In 25 minutes It makes:

25 * 19 = 475

Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere? 64π cm2 96π cm2 128π cm2 256π cm2

Answers

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

What is the surface area of a sphere?

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

To get more about spheres visit:

https://brainly.com/question/10171109

Jasper wants to buy 4kilograms of nails and 4kilograms of standard washers .How much will hespend? rivets $0.69 per kg nails $0.74 per kg standard washers $1.67 per kg split washers $1.12 per kg bolts $0.90 per kg $ Questions answered

Answers

"$0.90" (and any subsequent words) was ignored because we limit queries to 32 words.

Please Help! There are 5 ss please answer all!!

Answers

Answer:

1st: Is the first answer. Circle P.

2nd: the central angle is , Angle BPC

3rd: The minor arc is BC

4th: MAjor arc is BAC

5th: Semicircle is ABC

The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equation to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x

Answers

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

How to derive an expression for the area of an unshaded region of a rectangle

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910

What is the least common multiple of 8, 25, and 40?

Answers

Answer:200

Step-by-step explanation:

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle? the triangle is acute because 22 52 > 42. the triangle is acute because 2 4 > 5. the triangle is not acute because 22 42 < 52. the triangle is not acute because 22 < 42 52.

Answers

A triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle Thus, the triangle is not acute because 2² + 4² < 5².

What is the acute angle?

An acute angle is defined as the measure of an angle that is less than 90 degrees.

The square of the hypotenuse of a right triangle with the given sides would be 2² +4² = 20.

So, that hypotenuse would be √20, about 4.47.

The long side of this triangle is longer than that, hence the angle opposite is larger than 90°. The triangle with sides 2, 4, and 5 is an obtuse triangle.

The triangle is not acute because 2² + 4² < 5²

Learn more about acute angle;

https://brainly.com/question/1311149

Answer:

The answer is C I just did it

Step-by-step explanation:

QUICKK HELPPP!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns. the first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. the second row is labeled temperature (degrees celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5. according to the line of best fit, at what time will the temperature reach 100°c, the boiling point of water? 5 5.5 6 6.5

Answers

According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

What is linear regression?

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5. Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

The mean of time value, 2.25.The mean of temperature value 88.05Sum of squares 20.625Sum of products 93.625

The regression equation for this data can be given as,

[tex]\hat y=4.53939 X+77.83636[/tex]

Put the value of temperature (y) 100 in this equation.

[tex]100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5[/tex]

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Learn more about the regression here;

https://brainly.com/question/25226042

Answer:

the first answer is correct (a)

Step-by-step explanation:

find exact value to approximate value to 4 decimal places

In(5x+1)=2

Answers

Answer:

Answer is 1/5 which is exactly 0.2

Step-by-step explanation:

5x + 1 = 2

5x = 2 - 1

5x = 1

x = 1/5

x = 0.2

Choose the shape of the cross section formed.

Answers

Answer:

The first figure: Its the Triangle

The second figure: Its the rectangle

The third figure: Its the rectangle (for me this one would be a square)

Hope this helps!!

I need help on this question

Answers

Answer:

27,375.34

Step-by-step explanation:

I did 3 percent of 28,222 then subtracted it from 28,222

can someone help I don't know

Answers

Answer:

B. None of the above

Step-by-step explanation:

For this problem the strategy is to count the squares to find the value of each dimension:

The length has 4 squares → L = 4 unitsThe width has 3 squares → W = 3 unitsThe height has 5 squares → H = 5 units

Volume = L x W x H

Volume = 4 x 3 x 5

Volume = 60 units cubed

I hope this helps!

How to change 1.2/6 into a decimal?

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

1.2 is the same as:12 ÷ 10= [tex]\frac{12}{10}[/tex]dividing by 6 is the same as[tex]\frac{1}{6}[/tex]1.2 ÷ 6= [tex]\frac{12}{10}[/tex] × [tex]\frac{1}{6}[/tex]we can times the tops and bottoms together= [tex]\frac{12}{60}[/tex]We can simplify thisFor example, the top and bottom are both even numbers= [tex]\frac{6}{30}[/tex]We can simplify again by dividing by 2= [tex]\frac{3}{15}[/tex]We can simplify again by dividing by 3= [tex]\frac{1}{5}[/tex]

That was the 1st out 15 rounds come and get a prize brainilest

Answers

the answer is 14 employees

14 employeesAdd 6, 20 minutes and 8, 40 minutes for the total

_________________________________________________________

Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

Translate this phrase into an algebraic expression:
51 decreased by twice Carlos‘ age
Use the variable ‘C’ to represent Carlos‘s age

Answers

51-2c

Twice of Carlos age you multiply by 2 and subtract from 51

Answer:

51-2C

Solution:First, multiply C times 2:2C (twice Carlos's age)Now, subtract 2c from 51:51-2c

Hope it helps.

Do comment if you have any query.

Find the surface area of the cylinder

Answers

Answer:

Surface area of the cylinder is 377 cm² (approximately)

Step-by-step explanation:

Given :-

Radius of the cylinder = 6cmHeight of the cylinder = 4 cm

To find :-

Surface area

Solution :-

We know that,

Surface area of cylinder = 2πr(h + r)

Substituting the required values,

➝ Surface area= 2 × 22/7 × 6 (6 + 4)

➝ Surface area = 264/7 (10)

➝ Surface area = 2640/7

➝ Surface area ≈ 377 cm²

Hence,

Surface area of the cylinder is 377 cm² (approximately)

Explaination :

After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.

Radius (r) = 6 cm Height (h) = 4 cm

As we know that total surface area of cylinder is calculated by the formula :

T.S.A. = 2πr (h + r)

Where,

r is radius h is height Value of π is 22/7

★ Putting the values in the formula :

>> T.S.A. = 2πr (h + r)

>> T.S.A. = 2 × (22/7) × 6 (6 + 4)

>> T.S.A. = 2 × (22/7) × 6 (10)

>> T.S.A. = 2 × (22/7) × 6 × 10

>> T.S.A. = 2 × (22/7) × 60

>> T.S.A. = (44 / 7) × 60

>> T.S.A. = 44 × 60 / 7

>> T.S.A. = 2640 / 7

>> T.S.A. = 377

★ Therefore,

Surface area is 377cm²

I NEED THIS FAST

To create the histogram, whar values did you use for the x axis minimum and maximum and for the interval size?

Answers

The histogram shows the distribution of the x and y values

The minimum x value is 3, the maximum x value = 8 and the interval size is 1

How to interpret the histogram?

From the figure of the given histogram, we have the following highlights:

Minimum x value = 3Maximum x value = 8

The interval size is the difference between different classes.

i.e.

Interval = 4 - 3

Interval = 1

Hence, the interval size is 1

211,207,203,... Find the 38th term.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

211,207,203,...
Find the 38th term.