Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
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What is the 4th equivalent fraction to
5/6
Answer:
20/24
Step-by-step explanation: Hope this helps
I need help with this
Layla read 6 books in the first two months she was a member of a book club. Which equation best represents y, the total number of books read in x number of months?
A. y = 6x
B. y = 2x
C. y = 3x
D. Not Here
Answer:
C
Step-by-step explanation:
So if we look at the information that we already know, Layla's reading to months ratio is, 6:2. But to find out the equation we want to find out how many books she reads in ONE month instead of two.
Divide 2/2, and for ratios if you divide one side you have to do the same thing to the other side, so we get, 3:1. Where Layla reads 3 books per 1 month.
Therefore the answer is C.
If we wanted to double check our answer we could substitute our information back in:
6=3×2
6=6
Since the equations equal each other, we know we got it correct.
yall HELP PLEASE What is the slope of the line segment?
Answer:
a. 5
Step-by-step explanation:
Taking two points, (0,0) and (1,5), find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging the two points in, we have [tex]\frac{5-0}{1-0}=5[/tex] as the slope.
Answer:
Slope = 5
Step-by-step explanation:
We will use 2 points on the line.
(1 , 5) and (2 , 10)
formula for slope = y2 - y1/x2 - x1
10 - 5/2 - 1
= 5/1
= 5
The slope is 5.
283 is the same as the quotient of 97 and u
Answer:
283=97/u U=2.917
Step-by-step explanation:
if you have choices and more information, it would be helpful when answering questions
assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. log8 9x
[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log_8(9x)\implies \log_8(9)+\log_8(x)[/tex]
A veterinarian divided 4/5 of a bottle of medicine equally among 4 sick cats. How much did she give each sick cat?
Find the coordinates of point C on AB that is = of the distance from A to B.
Answer:
We need to see the graph can u show me the graph
Step-by-step explanation:
?
Bryant types 1400 words in 25 minutes. How many words does he type per minute?
Answer:
56 words per minute
Step-by-step explanation:
1400÷25=56
Answer:
56 wpm
Step-by-step explanation:
sketch the graph of f(x)=-3^x and describe the end behavior of the graph.
Answer: 3-
Step-by-step explanation:
Sue Ellen owns 2/7 of a business. What percent of the partnership does she own?
Answer:
20%?
Step-by-step explanation:
I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.
Classify each pair of numbered angles. Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once. Two lines intersect. The largest angle has the equation (3x minus 52) degrees to define it and the second to largest angle has the equation (2x plus 2) degrees to define it. A straight line with another line coming out of it at an angle. The largest angle has the equation (10x minus 20) degrees to define it and the smaller angle has the equation (6x plus 8) degrees to define it.
(i) Pairs of neighboring angles are supplementary and opposite angles have the same measure.
(ii) The two angles formed by a line coming out of another line are supplementary.
How to analyze pairs of angles
(i) When two straight lines pass through each other, then two pairs of opposite angles are constructed. A pair with angles of [tex](3\cdot x + 52)^{\circ}[/tex] and another pair with angles of [tex](2\cdot x + 2)^{\circ}[/tex], each pair of angles with different measures are supplementary.[tex]\blacksquare[/tex]
(ii) When a straight line comes out of another straight line, from a point distinct to any endpoint of the former, then we construct two supplementary angles. The largest angle has a value of [tex](10\cdot x + 20)^{\circ}[/tex], whereas the smaller one has a value of [tex](6\cdot x + 8)^{\circ}[/tex]. [tex]\blacksquare[/tex]
To learn more on angles, we kindly invite to check this verified question: https://brainly.com/question/15767203
Select all the expressions that are equivalent to 4-3.
A) -12
B) (-4) - (-4).(-4)
C) 2-6
D (1/4) • (1/4) • (1/4)
E) (1) · (1). (1)
F) 8-1/ 2 to the power of 2
G) 12
Answer:
See below.
Step-by-step explanation:
4*-3
A) -12
C) 2*-6
-hope it helps
The expressions that are equivalent to 4 × -3 are A) -12 and C) 2 × -6.
What is the expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Option A is a straightforward multiplication of 4 and -3, which gives -12.
Option C (2 × -6) is equal to -12.
Option B can be simplified as follows: (-4) - (-4) · (-4) = (-4) - 16 = -20.
Therefore, option B is not equivalent to 4 × -3.
Option D is equal to 1/64.
Option E is equal to 1.
Option F is equal to 2, and option G is equal to 12.
Options B, D, E, F, and G are not equivalent to 4 × -3.
Learn more about the expression here :
brainly.com/question/21751419
#SPJ2
ASAP!!! please help!!!!!!!!!!!!!!!!!!!!!
Answer:
1.5
Step-by-step explanation:
because if u divide 6 by 4 that will equal 1.5
what's this....?
5(x+9)=60
Answer:
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Step-by-step explanation:
hello ur intro
find the value of x in the equation below.
PLEASE SHOW ALL YOUR WORK
-3x-5=-17
Answer: x=4
Step-by-step explanation:
-3x-5=-17
+5 +5
-3x=-12
/-3 /-3
x=4
1. What are the vertices of △′′′white up pointing triangle . e prime , f prime , g prime for each translation? a. ⟨,−⟩(△)=△′′′
Answer:
The coordinates of the vertices are ′(,−), e prime . open 1 comma negative 3 close comma ′(,−), f prime . open 5 comma negative 2 close comma and ′(,−). g prime . open 4 comma negative 8 close .
Step-by-step explanation:
Review the equation below. 2KClO3 Right arrow. 2KCl + 3O2 How many moles of oxygen are produced when 2 mol of potassium chlorate (KClO3) decompose? 1 2 3 6
Answer: 3 mol of O₂
Solution:
The Balance chemical equation is as follow,
2 KClO₃ → 2 KCl + 3 O₂
According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).
Therefore, when,
2 moles of KClO₃ produces = 3 moles of O₂
So,
2 moles of KClO₃ will produce = X moles of O₂
Solving for X,
X = (2 mol × 3 mol) ÷ 2 mol
X = 3 mol of O₂
Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.
Answer:
3 mol of O₂
Step-by-step explanation:
i got a hundred on Edge
can someone please help me
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
A textbook store sold a combined total of 480 physics and history textbooks in a week. The number of physics textbooks sold was three times the number of history textbooks sold. How many textbooks of each type were sold?
Answer:
120 history textbooks
360 physics textbooks
Step-by-step explanation:
Physics textbooks = 3 times the amount of history textbooks
History textbooks = x
Physics textbooks = 3x
480 = x + 3x
= 4x
480/4 = x
x = 120
120 history books sold
480-120 = 360
360 physics textbooks sold
btw sorry if I didn't give enough working or help you understand it I'm not great at this kind of thing
Factor this trinomial: 6x^2 +19x+3
Please show all work, I give Brainliest.
Step-by-step explanation:
[tex]\implies \: {6x}^{2} + 19x + 3 \\ \implies {6x}^{2} + (18 + 1)x + 3 \\ \implies {6x}^{2} + 18x + x + 3 \\ \implies6x(x + 3) + 1(x + 3) \\ \implies(x + 3)(6x + 1)[/tex]
How I find a area of a trapezoid
Adrian wants to buy a skateboard that costs $85 After 1 month, he has $4 in savings and plans to quadruple the amount he has saved each month for 4 months Will Adrian have enough money to buy the skateboard in 4 months?
which of the following polynomials has a graph with odd symmetry? a. 7x^4+13x^3-11 b. 5x^7+4x^6+3x^5+x c.13x^5 -1/2x^3+7x+3 d. 8x^5+7x^3-5x
Answer:
D) [tex]f(x)=8x^5+7x^3-5x[/tex]
Step-by-step explanation:
A function is odd if its graph is symmetric to the origin, which we can check this if [tex]f(-x)=-f(x)[/tex] is true:
Option A
[tex]f(x)=7x^4+13x^3-11\\\\f(-x)=7(-x)^4+13(-x)^3-11\\\\f(-x)=7x^4-13x^3-11[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option B
[tex]f(x)=5x^7+4x^6+3x^5+x\\\\f(-x)=5(-x)^7+4(-x)^6+3(-x)^5+x\\\\f(-x)=-5x^7+4x^6-3x^5+x[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option C
[tex]f(x)=13x^5-\frac{1}{2}x^3+7x+3\\\\f(-x)=13(-x)^5-\frac{1}{2}(-x)^4+7(-x)+3\\ \\f(-x)=-13x^5-\frac{1}{2}x^4-7x+3[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option D
[tex]f(x)=8x^5+7x^3-5x\\\\f(-x)=8(-x)^5+7(-x)^3-5(-x)\\\\f(-x)=-8x^5-7x^3+5x[/tex]
Since [tex]f(-x)=-f(x)[/tex], then the function DOES have odd symmetry. You can also see that the function is odd because every term has an odd exponent.
Find the three consecutive square numbers whose sum is 149.
Answer:
36 + 49 + 64 = 149
6^+7^2+8^2
Hope This Helps!!!
please help it would really help alot
Step-by-step explanation:
An appropriate estimation would be to the ones place.
[tex] \frac{36 \div 4}{40 \div 4} = \frac{9}{10} [/tex]
9/10 (90%) is closer to 1 than to 0.
The estimation for 36/40 is 1.
1/3 (33%) is closer to 0 than to 1.
The estimation for 1/3 is 0.
[tex] \frac{70 \div 10}{100 \div 10} = \frac{7}{10} [/tex]
7/10 (70%) is closer to 1 than to 0.
The estimation for 7/10 is 1.
1/8 (12.5%) is closer to 0 than to 1.
The estimation for 1/8 is 0.
A balloon containing 0. 040 mol of a gas with a volume of 5. 0 mL was expanded to 1. 0 L. Which equation should you use to find the amount of gas added? V subscript 2 equals StartFraction V subscript 1 n subscript 2 over n subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 2 n subscript 1 over V subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 1 n subscript 1 over V subscript 2 EndFraction.
Answer:
n2=v2n1/v1
Or B
Step-by-step explanation:
P, R, and T are constant, then the volume is directly proportional to the mole. Then the correct option is A.
What is an ideal gas equation?An ideal gas is a theoretical composed of a set of randomly moving gas particles that interacts only through elastic collision.
Given
A balloon containing 0.040 mol of a gas with a volume of 5.0 mL was expanded to 1.0 L.
[tex] \rm V_1 = 5 \ mL\\ V_2 = 1000 \ mL\\ n_1 = 0.040 \ mol [/tex]
We know the equation of the ideal gas.
[tex] \rm PV = nRT [/tex]
where P, R, and T are the constant, then
[tex] P \propto n[/tex]
Then we have
[tex] \rm \dfrac{V_2}{V_1} = \dfrac{n_2}{n_1} \\\\ V_2 = n_2 *\dfrac{V_1}{n_1} [/tex]
Thus, the correct option is A.
More about the ideal gas equation link is given below.
https://brainly.com/question/1056445
What is the conversion factor for the relationship between millimeters and centimeters?.
Answer:
10 mm = 1 cm
Step-by-step explanation:
10 mm = 1 cm
__
The SI prefix "milli-" means 1/1000. The prefix "centi-" means 1/100. Consequently 1 cm = 0.010 m and 1 mm = 0.001 m.
There are 10 mm in 1 cm.
Help! it's giving me a headache and I will be very thankful
Answer:
Hey, I'm not sure if this will help but by just looking at it I would say C.
Explanation:
This is because it looks like the parallelogram can be adjusted to be a rectangle which would give you the answer of 77.
I hope that makes sense!