Answer: S = 221
Step-by-step explanation: An arithmetic sequence is a set of numbers in order, having the difference between one term and the next a constant.
The sum of an arithmetic sequence can be calculated as the following formula:
[tex]S=\frac{n}{2} [2a_{1}+(n-1)r][/tex]
where
n is how many terms to add
a₁ is the 1st term of the sequence
r is the constant
For the sequence above:
[tex]S=\frac{17}{2} [2(5)+(17-1)1][/tex]
[tex]S=\frac{17}{2}(26)[/tex]
[tex]S=17(13)[/tex]
S = 221
The sum of the first 17 terms of the arithmetic sequence {5,6,7,8,9,10...} is 221
What c-value makes the set of ratios equivalent. HELP ASAP
Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
What is the sum of the interior angles of this polygon?
Answer:
[tex]D.\ 720\ degrees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\The\ following\ polygon\ has\ 6\ sides\ and\ is\ a\ hexagon.\\We\ know\ that,\\The\ Interior\ Angle\ Sum\ of\ a\ polygon\ with\ sides\ n\ is\ given\ by\ the\ formula:\\Interior\ Angle\ Sum=180(n-2)\\Here,\\As\ the\ number\ of\ sides\ are\ 6,n=6\\Hence,\\The\ Interior\ Angle\ Sum\ of\ a\ hexagon=180(6-2)=180*4=720[/tex]
What is the ratio of the perimeter of
/\BCD to the perimeter of rectangle
ABDE?
Answer:
In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is 1 . The area of polygon ABCDE is 24 square units.
Step-by-step explanation:
This was correct on plato :D
Step-by-step explanation:
have a great day give me a like
Write the number 21, 473, 862, 095 in word form.
Twenty one trillion, four hundred seventy-three billion, eight hundred sixty-two million, ninety-five thousand.
Two hundred fourteen million, seven hundred thirty-eight thousand, two hundred ninety-five.
Twenty-one billion, four hundred seventy-three million, eight hundred sixty-two thousand, ninety-five.
Twenty one million, four hundred seventy-three thousand, eight hundred sixty-two, ninety-five
Answer:
C. twenty one billion, four hundred seventy three million, eight hundred sixty two thousand, and ninety five
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
The word form of the number 21,473,862,095 is Twenty-one billion, four hundred and seventy-three million, eight hundred and sixty-two thousand, ninety-five.
Hence, the 3rd option is the correct choice.
How are numbers written in word form?Numbers are taken in blocks of three from the rightward direction, where the third digit is the hundreds digit, the second digit is the tens digit, and the first digit is the units digit.
The blocks from the rightward direction are units block, thousands block, millions block, billions block, trillions block, and so on.
Then these words are written are from the leftward direction.
How to solve the question?In the question, we are asked to write the number 21,473,862,095 in word form.
We take blocks of three from the right side:-
The first block is 095. This is the unit block.
The word form of this block is: "ninety-five".
The second block is 862. This is the thousands block.
The word form of this block is: "eight hundred and sixty-two thousand".
The third block is 473. This is the millions block.
The word form of this block is: "four hundred and seventy-three million".
The fourth block is 21. This is the billions block.
The word form of this block is: "twenty-one billion".
Now, on combining all, the final word form is:
Twenty-one billion, four hundred and seventy-three million, eight hundred and sixty-two thousand, ninety-five.
Hence, the 3rd option is the correct choice.
Learn more about word forms at
https://brainly.com/question/542383
#SPJ2
what is 3/8 times 3/8?
Answer:
6/8 or sum idrk im just looking for points
C.is decrease by 1 foot every 500 miles D. Is decrease by 1 foot every 1000 miles
Answer:
Option A
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Line shown in the graph is passing through two points (2, 8000) and (4, 7000).
Therefore, slope of the given line = [tex]\frac{8000-7000}{2-4}[/tex]
= -500 feet per mile
Which means, altitude decreases by 500 ft every mile.
(Negative sign represents the decrease)
Option A is the correct option.
four more than a number is 20 less than four times the same number. what is the number?
Answer:
x=8
Step-by-step explanation:
x+4 = 4x -20
3x= 24
x=8
plz brainliest :)
Let the number is 'x'
So the four times of this number will be 4x
And twenty less than from this number is
4x-20
According to question
4x-20=4
=> 4x=4+20
=> 4x=24
=> x=24/4
=> x=6
So the number is 6
original: $75 new: $60
What's the question?
If it's "What's the difference?" or something like that, then the answer is 15. :)
Answer:
Not sure what your question is asking, if you give me more information I can help you.
pls help asap will give brainliest!!!
Answer:
step two added the 9 to each side :)
1. How many significant figures are in each of these numbers? a) 768 b) 0.000086 c) 8.0 d) 43,000 e) 3.0200x106 f) 7.9800 g) 98.0010 h) 0.0087600 i) 0.00202
Answer:
a) There are 3 significant numbers in 768
b) There are 2 significant numbers in 0.000086
c) There are 2 significant numbers in 8.0
d) There are 5 significant numbers in 43,000
e) There are 11 significant numbers in 3.0200x10^6
f) There are 5 significant numbers in 7.9800
g) There are 6 significant numbers in 98.0010
h) There are 5 significant numbers in 0.0087600
i) There are 3 significant numbers in 0.00202
Step-by-step explanation:
How many significant figures are in each of these numbers?
a) 768
There is no decimal so, all digits are significant numbers.
There are 3 significant numbers in 768
b) 0.000086
There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.
So, There are 2 significant numbers in 0.000086
c) 8.0
There is decimal point in this number. Digits on left side and right side of the decimal are considered significant
So, There are 2 significant numbers in 8.0
d) 43,000
There is no decimal so, all digits are significant numbers.
There are 5 significant numbers in 43,000
e) 3.0200x10^6
It can be written as: 3.0200000000
There is decimal point in this number. Digits on left side and right side of the decimal are considered significant
So, There are 11 significant numbers in 3.0200x10^6
f) 7.9800
There is decimal point in this number. Digits on left side and right side of the decimal are considered significant
So, There are 5 significant numbers in 7.9800
g) 98.0010
There is decimal point in this number. Digits on left side and right side of the decimal are considered significant
So, There are 6 significant numbers in 98.0010
h) 0.0087600
There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.
So, There are 5 significant numbers in 0.0087600
i) 0.00202
There is decimal point in this number. Zero's on leading (right) side of the number are not considered significant. Only non-zero values are considered significant.
So, There are 3 significant numbers in 0.00202
5/4= a= 1 a is? Need help
Answer:
You just gave the answer...
5/4 = 1a
5/4 = a
Determine whether the table represents a linear function, an exponential growth function, an exponential decay
function, or none.
Answer: exponential growth function
Step-by-step explanation:
2 ¾ + 4 1/16 this one got very hard for me anyone know this?
Answer:
6 13/16
Step-by-step explanation:
Make it a fraction for it to be easier to solve.
11/4 + 65/16
The LCM is 16
44/16+65/16
109/16
6 13/16
Answer:
109/16
Step-by-step explanation:
change the mixed fractions to proper fractions
11/4 + 65/16
lcm = 16
(4(11) + 65 )/ 16
(44 + 65)/16
109/16
At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 1/3 less than that. How many ounces of peanut butter are in the pantry now?
Answer:53.34
Step-by-step explanation:
80×(1÷3)=26.66 etc.
80-26.66= *53.34*
.
Find the cosine ratio of angle A. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Reduce fraction when necessary.
Find the unknown value in the proportion x∕32 = 38∕64.
Question 4 options:
A)
19
B)
38
C)
54
D)
76
Answer:
x=19
Step-by-step explanation:
This can be found in two ways.
Way #1
Since 32 is half of 64, divide 38 in half to get the missing number, or 19.
Way #2
Solve for x.
x/32 = 38/64
(Solve the expression on the right side)
x/32 = 0.59
(Multiply both sides by 32 to isolate the variable.)
x= 18.88 --> 19.
2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are there in the class?
Answer:
The number of male students is 8, while the number of female students is 42.
Step-by-step explanation:
To determine the number of male and female students in the class, knowing that in total there are 50 students, and that the number of female students is two more than five times the number of male students, the following equation must be performed:
X + (5X + 2) = 50
6X + 2 = 50
6X = 50 - 2
X = 48/6
X = 8
Thus, the number of male students is 8, while the number of female students is 42.
The picture frame has a perimeter of 100 inches. The width is 22 inches. Calculate the missing length. Use that answer to find the area of the picture frame.
Length of frame?
Area of frame?
Answer:
39 inches.
858 inches²
Step-by-step explanation:
Length:- (if length = x)
2 ( 11 + x ) = 100
22 + 2x = 100
2x = 100 - 22
2x = 78
x = 78 ÷ 2
x = 39 inches
Area:-
Area = l × b
= 39 × 22
= 858 inches²
Solve for x.
2x + 20 2x - 4
X=
= [?]
Answer:
No solution
Step-by-step explanation:
2x+20-2x=2x-4-2x
20= -4
answer is No Solution
Qoctor.
50
40
30
Total Number of Visits
20
10
0
8
10x
Age (years)
Use the line of best fit to estimate the age of a child who has visited the doctor 40 times.
OA 12 years old
OB.
11 years old
OC.
14 years old
D. 13 years old
The graph of the portion I'll relationship contains the point with coordinates 3 and 12 what is the constant of proportionality of the relationshipThe graph of the portion I'll relationship contains the point with coordinates 3 and 12 what is the constant of proportionality of the relationship.
Answer:
Step-by-step explanation:
I think it’s 8?
The Lee Family buys a new car that has a sales price of 35,000. If the car dealer requires a minimum dowm payment of 15% ,what is the minimum down payment the Lees must pay for their car?
Answer:
5250 dollars
Step-by-step explanation:
cross multiply
525000=100x
x=5250
the indertoo #24 and #25 Find the cylinder's volume Label answer correctly. 4962.02 3 25 here ce area. Label answer correct
1. sin 71pi
2. cot pi
3. cos 5pi/6
4. tan 135°
5. sin 120degrees
6. tan 180degrees
Calculate: -3+7
a. -10
b. -4
c. 4
d. 10
Answer:
C
Step-by-step explanation:
-3+7=4
One leg of a right triangle measures 10 inches while the other leg measure square root of 21 inches. What is the length of its hypotenuse?
Answer:
11 inches
Step-by-step explanation:
hypotenuse² = leg₁² + leg₂²
=10² + (√21)²
= 100 + 21
= 121
Hypotenuse = √ 121 = √11*11 = 11 inches
Answer:
10^2+√21^2= 100+21= 121
square root of 121= 11
Answer is 11 inches
Step-by-step explanation:
describe how to solve -5x=30
Answer:
x = -6
Step-by-step explanation:
30 = -5x
30/-5 = -5x/-5
-6 = x
Divide 30 by -5 to solve for x
Answer:
Divide both sides by -5.
x = 30/-5 = -6
x = -6
Step-by-step explanation:
What is an additive inverse?
Answer:
In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. Just remember this number is also known as the opposite sign.
Hope this helps :)!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Guys please help meeee!
Step-by-step explanation:
here is the graph step by step to tell you the interval over which f x is increasing
A figure is a rectangle with a triangle on one side.
What method can you use to find the area of the composite figure? Check all that apply.
decompose the figure into one rectangle and one triangle, and add the areas
decompose the figure into two trapezoids, and add the areas
find the area of the larger rectangle, then subtract the area of the square
find the area of the larger rectangle, then subtract the area of the two small triangles
find the area of the larger rectangle
Answer:
the awncer is abd
Step-by-step explanation: