No, integers cannot be fractions or decimals.
Find the explicit formula for the nth term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}
Pls no links, I actually need help
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]
5 What rate of interest is paid on a deposit of $2000 which earns $400
interest in 5 years?
Answer:
4%
Step-by-step explanation:
Given
I = 400P = 2000R = ?T = 5 yearsFormula
I = PRTSolving.
I = PRT400 = 2,000 × R × 5400 = 10,000 × R400 / 10,000 = R0.04 = RChange 0.04 to percent
0.04 × 100 = 4%Answer:
4%For question 1, find the x- and y-intercept of the line.
-10x -5y=40
A. x-intercept is 5; y-intercept is -10
B. x-intercept is 8; y-intercept is -4
C. x-intercept is -10; y-intercept is 5
D. x-intercept is -4; y-intercept is 8
Please answer circle theorem question.
Many thx.
Answer:
x = 125
Step-by-step explanation:
Tangents from an external point to a circle are congruent , that is
CA = CB
Then Δ ABC is isosceles with base angles being congruent
∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°
∠ ABC and x are adjacent angles on a straight line and sum to 180° , so
x = 180° - 55° = 125°
Then x = 125
What is the length of AB?
Answer:
6
Step-by-step explanation:
express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4
Answer:
[tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
Step-by-step explanation:
[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is (x²+y²)/x⁴. The expression will be solved as,
E = (x²+y²)/x⁴
Separate the terms into two fractions,
E = (x²+y²)/x⁴
E = (x²/x⁴) + ( y² / x⁴)
Divide the divisible terms and solve,
E = (1/x² + y²/x⁴)
To know more about an expression follow
https://brainly.com/question/17581179
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A milkman bought 40 litres of milk at rs. 26.50 per litre and added 6 litres of water to it. He sold the mixture at rs. 17 per litre. How much did he gain?
cp of 40 l of milk=6.50*40=260
sp of 56 l of mixture=56*7=392
392-260=132
gain%=132/260*100=50.76%
HELP THIS IS URGENT!!!!!!!!!!!!!1Fill in the blank so that the equation has the solution x=3
3x+ =5
Answer:
y = 3x + 5
Step-by-step explanation:
Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)
A student earned a grade of 82% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Work Shown:
82% of 20 = 0.82*20 = 16.4 which rounds to 16
please help.
with the steps.
just b, please
Answer:
x² +3x -50 = 0
Step-by-step explanation:
The area expression you got in part (a) is ...
A = (x +8)(x -5) = x² +3x -40
If the area is to be 10, then x must satisfy the equation ...
10 = x² +3x -40
x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form
Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aisha’s mistake. Please help.
Answer:
Step-by-step explanation:
All the numbers round to 7 except
6.61
7.89
6.58
7.37
Please help me with my math homework what is the answer!!!
Answer:
Step-by-step explanation:
The letters are easy enough.
y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.
x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs
12 and 42 are the parts that will cause the problem. Factor them both into prime factors
12: 2 * 2 * 3
42: 2 * 3 * 7
You need two 2s.
You need one 3
You need one 7
LCD = 2 *2*3 * 7 = 84
PLS HELP! 31 POINTS!!)) John plans to practice piano at least 2 1/2 hours this weekend. If he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal? A. Yes; he will practice a total of 2 5/12 hours, and 2 5/12 > 2 1/2 . B. No; he will practice a total of 2 5/12 hours, and 2 5/12 < 2 1/2 . C. Yes; he will practice a total of 2 7/12 hours, and 2 7/12 > 2 1/2 . D. No; he will practice a total of 2 7/12 hours, and 2 7/12 < 2 1/2 .
Answer:
2 hours 30 minutes = goal
Saturday = 1 hour 10 minutes
Sunday = 1 hour 15minutes
Total = 2 hours 25 minutes
No he will not meet his goal. He will be short 5 minutes of practice.
Explanatiory:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
ill see im on the yest rn
Step-by-step explanation:
Please Help Question in picture
Answer:
i want to help... but there is no picture :/
Step-by-step explanation:
picture is gone D:
.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of 32 2/9+ 23 4/9
Answer:
The answer is 55 6/9, but when simplified, it is 55 1/3
HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer: 6 2/3
4/3 * 5
20/3
6 2/3
The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?
Answer:
They need to wash 72 cars
Step-by-step explanation:
2000 - 1640 = 360
360/5 = 72
Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.
Answer:
unbiased nonrandom
Step-by-step explanation:
By picking only people from 1st period they are not random.
They haven't said anything that would make these people biased.
Answer:
unbiased nonrandom
Step-by-step explanation:
GRAPHING LINEAR EQUATIONS PLEASE HELP
y=2/5x -3
how do i graph this? i don't know where to start please help!
Step-by-step explanation:
you can let
x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)then connect this 2 points
PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!!
Step-by-step explanation:
(f+g)(x) means we just add the 2 functions, so we have
(x-3) + 2x² = 2x² + x - 3
(f-g)(x) means we subtract g(x) from f(x), so we have
(x-3) - (2x²) = -2x²+x-3
Assuming that the dot signifies a multiplication sign and not a composition sign, we have
(f*g)(x) = f(x) * g(x)
= (x-3) * 2x²
= 2x³ - 6x²
Plugging -2 in, we get
2(-2)³-6(-2)² = -16 -24 = -40
how do you write 8.16 × 101 in standard form?
What is the slope of the line passing through(-7, 8) (-8, 8) is?
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )
m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
Complete the statement. Round the nearest hundredth if necessary.
6.5L=. Gal
Answer:1.72Gal
Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72
Look at the picture please help
Answer:
c
Step-by-step explanation:
First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.
To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.
Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.
Simplify.
(–28xy) ÷ (–4)
−7xy
17ab
−17ab
7xy
If any doubt leave a comment
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].
To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.
Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].
Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.