211,207,203,...
Find the 38th term.
Answers
Answer:
63
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
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.
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#SPJ2
Related Questions
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
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
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Answer:
The answer is C I just did it
Step-by-step explanation:
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
What is the least common multiple of 8, 25, and 40?
Answers
Answer:200
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
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)
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
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]
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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
_________________________________________________________
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
if 1/4 of a journey is 100 km what is the length of the journey
Answers
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.
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.
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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
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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%
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:
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 cmTo find :-
Surface areaSolution :-
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)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 cmAs 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 377cm²What 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 1/4So, 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
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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!!
Translate this phrase into an algebraic expression:
51 decreased by twice Carlos‘ age
Use the variable ‘C’ to represent Carlos‘s age
Answers
Twice of Carlos age you multiply by 2 and subtract from 51
51-2C
Solution:First, multiply C times 2:2C (twice Carlos's age)Now, subtract 2c from 51:51-2cHope it helps.
Do comment if you have any query.
find the profit if C.P=620 and S.p=760
Answers
Answer: hope I helped look down
Step-by-step explanation:
Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%
QUICKK HELPPP!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.
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 = 8The interval size is the difference between different classes.
i.e.
Interval = 4 - 3
Interval = 1
Hence, the interval size is 1
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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.
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
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 unitsVolume = L x W x H
Volume = 4 x 3 x 5
Volume = 60 units cubed
I hope this helps!
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.
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Answer:
D
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.
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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 93.625The 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.
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Answer:
the first answer is correct (a)
Step-by-step explanation:
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