Answers
The explicit formula for a arithmetic sequence is a_n = a_1 + (n - 1)d.
We want to find a_21.
a_21 = 17 + (21 - 1)(10)
a_21 = 17 + (20)(10)
a_21 = 17 + 200
a_21 = 217
The 21st term is 217.
Related Questions
Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?
Answers
Answer:
x = 2700 y=2900
Step-by-step explanation:
x+y = 5600
5/100 x + 9/100 y = 396
x+y=5600
5x+9y=39600
5x+5y = 28000
5x+9y=39600
-4y = -11600
y= 2900
x = 5600-2900 = 2700
9x + 6 (5600-x) =39600
9x + 33,600 - 6 = 39600
3x = 6000
X = $2000
So 2000 invested at 9% and 3000 invested at 5%
09(2000) + .05(3000) = 3300
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?
Answers
Answer:
16 sweets
Step-by-step explanation:
Number of sweet that Sekhar had = x
Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]
Sweets given to Raji = 5
Remaining sweets = 7
[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]
4. Divide z(5z2 - 80) by 5z (z+4)
Answers
Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
The price of a gallon of unleaded gas has dropped to $2.80 today. Yesterday's price was $2.86 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answers
(new - old) : old
(2.80-2.86):2.86= 0.0209 + 1 = 0.979 %
rounded answer is than probably 1.00%
checking:
2.86 x 0,979 = 2.79994
What’s the answer of value v?
Answers
Answer:
v = 9
Step-by-step explanation:
6v - 4 = 50
6v = 54
v = 9
Find the missing fraction. What is the ??? equal to? (the fractions aren't in order)
1/12, 1/27, 1/6, 1/9, ???, 1/3
if you could help that would be amazing! thanks!
Answers
Step-by-step explanation:
1/6 divided by 3=1/2.
I think this is the answer
i feel like i should know this one...
any kind of help is appreciated :)
Answers
Answer:
∠TAC = 70.53°
Step-by-step explanation:
ABCD is a square: AC = √AB²+BC² = √72
AM = 1/2 AC = √72 / 2 = 3 √2
tan ∠TAC = TM / AM = 12 / 3 √2 = 2.8284
∠TAC = 70.53°
hallar el área de un triangulo rectángulo isósceles cuyos lados miden 10cm cada uno
helpppp
Answers
Please anyone I need to do this know I have no time left
Answers
Answer:
(1) 292 sq ft(2) 346 sq inStep-by-step explanation:
Surface Area
(1)
Triangular Prism
Given that:
Base (b) = 7 ftHeight (h) = 6 ftHypotenuse (y) = 9 ftDepth (d) = 10 ftFind the surface area!
Surface area =
bh + d(b+2y) =
(7 × 6) + (10×(7+(2×9))) =
42 + 250 =
292 sq ft ✅___________________
(2)
Cuboid
Given that:
Length (L) = 11"Width (W) = 10"Height (H) = 3"Find the surface area!
Surface area =
2LW + 2LH + 2WH =
(2×(11×10)) + (2×(11×3)) + (2×(10×3)) =
220 + 66 + 60 =
346 sq in ✅______________
#IndonesianPride
- kexcvi -
I need help please help me
Answers
Answer:
electric poles are all stationary objects
a = 5bc
b = -4 and c = -3
Work out the value of a.
Answers
Step-by-step explanation:
a=5*-4*-3
a=-2
hope this helps
What is the y-intercept of function g if g(x) = 2f(x) + 1 ?
A. (0,2)
B. (0,-1)
C. (0,3)
D. (0,1)
Answers
By evaluating the function in x = 0, we will see that the y-intercept is (0, 3), so the correct option is C.
How to find the y-intercept of a function?
The y-intercept of a function g(x) is given by evaluating the function in x = 0.
So the y-intercept of g(x) is:
y = g(0).
In this case, we have:
g(x) = 2f(x) + 1
The y-intercept will be:
g(0) = 2*f(0) + 1
By looking at the graph, we can see that f(0) = 1, replacing that above we get:
g(0) = 2*1 + 1 = 3
Then the y-intercept is the point (0, 3), meaning that the correct option is C.
If you want to learn more about y-intercepts, you can read:
https://brainly.com/question/20896994
Can someone help me ASAP
Answers
Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.
Answers
Answer:
[tex]\frac{5(x+y)}{-8x}[/tex]
Step-by-step explanation:
It is a fraction that usually has a numerator and denominator
the numerator is the number on top while the denominator is the number below
[tex]\frac{a}{b}[/tex]
In the above fraction, a is the numerator while b is the denominator
Numerator =5 × ( x + y)
Denominator = -8x ( negative means there is a negative sign before 8)
( product means multiplication)
[tex]\frac{5(x+y)}{-8x}[/tex]
The graph compares the number of weeks that have passed, x, and the number of tennis coaching sessions Peter has taken, y. Which equation represents the relationship between x and y?
A.y= −3x +1/3
B.y= 1/3x − 3
C.y= 1/3x + 3
D.y= 3x − 9
Answers
Help me please with this question
Answers
Answer:
107cm
Step-by-step explanation:
The the answer is 107 because you have to add up all of the numbers.
What is the image point of (2,9) after the transformation
T-1,-4 o ry=x?
Answers
Answer:8,-2
Step-by-step explanation:
Delta math
I whats the answer????
Answers
Answer:
The equations that are true are
B
C
E
Step-by-step explanation:
A) States that 0 + 451 = 0, but that is not true because...
0 + 451 = 451
B) States that 130 + 210 = 210 + 130, and that is true because...
130 + 210 = 210 + 130
340 = 340
C) States that (127 + 80) + 250 = 127 + (80 + 250), and it is true because...
(127 + 80) + 250 = 127 + (80 + 250)
127 + 80 + 250 = 127 + 80 + 250
457 = 457
D) States that (123 + 57) + 180 = 153 + (87 + 180), but that is not true because...
(123 + 57) + 180 = 153 + (87 + 180)
123 + 57 + 180 = 153 + 87 + 180
360 = 420 (but this does not make sence)
E) States that 497 + 0 = 497, and it is true because...
497 + 0 = 497
497 = 497
Answer:
E is true, B is true, C is true,
The diameter of a circle is 8 units. What is the circle's circumference? Do not round your answer.
Answers
Answer:
25.12 or 25.13
Step-by-step explanation:
It says not to round so i’m not sure which one is the correct answer
(sorry (-.-“))
Answer:
25.12
Step-by-step explanation:
8 * 3.14 = 25.12
35% of x is 3.5 What is the value of x
Answers
Answer: x =10
Step-by-step explanation:
I'm sorry if its not right
Find the missing side
Answers
Answer:
20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 -225
b^2 =400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
In a survey, 80% of people like Coca Cola and 85% of people like Pepsi, 75% of people like both drinks. If 45 people do not like both drinks, find the total number of people in the survey.
Answers
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answers
Answer:
hi sorry for answering late but the answer is D)greater than or equal to
Step-by-step explanation: Have a nice day :)
Answer:
greater than or equl to
Step-by-step explanation:
just gave answer i think not sure and it d by the way
Please please help i need thisrigt now
Answers
Answer:
oh i can't see the picture!!!
Step-by-step explanation:
Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help
Answers
Answer: figure it out.
Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...
What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions the segment into a ratio of 1 to 2?
Answers
if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
Answers
Helpppp plzzz I will mark brainliestttt
Answers
615.44 in squared for total surface area.
Determine the location of the ordered pair (0, 5)
Answers
Answer:
It's located on the y - axis
Step-by-step explanation:
x = 0
y = 5
Answer:
x+6=372mas e melhor fazer e não passar a caneta talvez esteja errada
I need help who ever get it right get brainly
Answers
Answer:
m<a = m<c since those two angles are vertical angles.
m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.
Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!