Answer:
179:321
Step-by-step explanation:
If Sn is the sum of the first n term of a sequence, the ratio will be expressed as:
Sn/S'n = 5n+4/9n+6
The sum of nth term of a sequence is expressed as
Sn = n/2[2a+(n-1)d]
The expression becomes
{n/2[2a+(n-1)d]}/{n/2[2a+(n-1)d']} = 5n+4/9n+4
Open the bracket
a+(n-1/2)d/a+(n-1/2)d' = 5n+4/9n+4
Since the 18th tern is expressed as
T18 = a+(18-1)d
T18 = a+17d
The expression becomes
T18/T'18 = a+(n-1/2)d/a+(n-1/2)d'
a+17d/a'+17d' = a+(n-1/2)d/a+(n-1/2)d'
Compare and contrast to get n
On comparing both sides of the equation
17 = n-1/2
n-1 = 17×2
n-1 = 34
n = 34+1
n = 35
If the nth term is 5n+4
18th term will be 5(35)+4 = 179
If the nth term is 9n+6
18th term will be 9(35)+6= 321
Hence the ratio of their 18th term will be 179:321
[tex]( \sin^{2} ( \frac{\pi}{ 4 } - \alpha ) ) = \frac{1}{2} (1 - \sin(2 \alpha ) )[/tex]
Prove
Step-by-step explanation:
[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
Use the identity
[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]
on the left side.
[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
Now use the identity
[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]
on the left side.
[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
please help. problem involving magic squares
Step-by-step explanation:
First, let us find the magic sum in each row/column/diagonal.
Sum of numbers from 1 to 9 = 45.
45 divide by 3 rows = 15 each row.
The magic sum is 15.
For the diagonals, we have:
8 + 5 + x = Magic sum = 15,
6 + 5 + y = Magic sum = 15.
Therefore x = 2 and y = 4.
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y = 2x ; (5, −5)
The equation is y = .
Hope this works, let me know if you didn't understand it
Answer:
the y is y=mx+b
Step-by-step explanation:
if this helps say also have a brillint day
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
Nadine and her sister received the
same amount of money to go out to
eat. Each girl spent $12. After
lunch, the girls had a total of $16.
Write and solve an equation to find
the amount of money each girl
received.
Answer:
2(x - 12) = 16
Step-by-step explanation:
They each had $20 to spend.
NEED HELP ASAP! GIVING BRAINLEST TO THE CORRECT ANSWER! MY BRAINLEST IS GIVING 100 POINTS TO THE PPL WHO ANSWER CORRECTLY
Select the real-world problem that could be solved using a proportion.
A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?
B Sheila must pay $180 for a phone and then $60 each month for service. How much will she have paid after 7 months?
C Sheila has 3 pens and 7 pencils. How many more pens does she need to make the number of pens and pencils she has equivalent?
D Sheila has 3 dogs and adopts 1 more. How many dogs does she have in total?
Answer:
A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?
Step-by-step explanation:
[tex]\frac{180 miles}{3 hours} = \frac{x miles}{7 hours}[/tex]
Please only answer if you know
Answer:
A, C
Step-by-step explanation:
A.)
32 / 8 * 5.25 ----> 4 * 5.25 ----> 21
C.)
4 * 12.5 / 2----> 49 / 2 ----> 24.5
Answer:
between 20 & 30?
A & C
Step-by-step explanation:
A) 32 / 8 * 5.25 = 21
B) -18 / 6 * 9 = -27
C) 4 * 12.5 / 2 = 25
D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26
please help thanks in advance
Answer:
43.25
Step-by-step explanation:
Since sides DF and FE are congruent, their opposite angles D and E are also congruent.
m<D + m<E + m<F = 180
x + x + 93.5 = 180
2x = 86.5
x = 43.25
Answer: 43.25
How do you do an area model of 15 times 11
Complete the inequality with >, <, or =.
72 _____ 34
Answer:
>
Step-by-step explanation:
which ever the arrow is opening up to, is the greater number bro
Tanisha has 16 books she wants to read. She reads One Fourth of them. How many books has Tanisha read?
Answer:
Im guessing she reads 64 of the book
16 divided by 1/4 = 64
Find the value of 16 2/3% of Rs.4500
Answer:
Rs 750 .
Step-by-step explanation:
We need to find 16 ⅔ % of Rs 45,00 .
So , we can write 16 ⅔ % as 50/3 %.
= [tex]\dfrac{50}{\cancel3}\times Rs ,\cancel{ 4500 }^{1500}\times\dfrac{1}{100}[/tex]
=[tex]\red{ Rs 750 }[/tex]
Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
John bought a play station game for $54.50. The tax on the game is 5%. What
is the total cost of the play station game, including the tax?
Answer:
1089/20 (Decimal: 54.45)
Answer:
$57.22
Step-by-step explanation:
$2.72 would be 5% of 54.50
The total cost would be
54.50 + 2.72
that would equal
57.22
NEED HELP ASAP PLEASEE
Answer:
can u make a more clear picture ?
Step-by-step explanation:
five and six eights + four and 4 fiths please answer ill give 10 points
Answer:
29/5
Step-by-step explanation:
Answer:
10 11/20
Step-by-step explanation:
ten and eleven twentieths
A number line going from negative 1 to positive 1 in increments of 1. There are 5 equal spaces between each number. Select all the statements that are true. –1 is less than Negative StartFraction 4 Over 5 EndFraction. –0.3 is less than One-fifth. 0.6 is greater than 1. 0 is greater than –0.5. Negative three-fifths is equal to –0.6.
Answer:
–1 is less than Negative StartFraction 4 Over 5 EndFraction
Step-by-step explanation:
Number line from - 1 to + 1 in Increment of 1 ; with 5 equal spaces between each number ;
–0.3 is less than One-fifth
0 is greater than –0.5
Negative three-fifths is equal to –0.6
Number line :
-1 to 0 to 1
-1, - 0.8, - 0.6, - 0.4, - 0.2, 0, 0.2, 0.4, 0.6, 0.8, 1
–1 is less than Negative StartFraction 4 Over 5 EndFraction : - 1 < - 0.8 (true)
–0.3 is less than One-fifth : - 0.3 < 0.2 (true)
0.6 is greater than 1 ( false)
0 is greater than –0.5 (true)
Negative three-fifths is equal to –0.6; - 0.6 = - 0.6 ( true)
Answer:
The answer is A B D E
Step-by-step explanation:
Create an expression that would represent the area of the triangle
Answer:
96cm
Step-by-step explanation:
A=1/2bxh (Area=BasexHeight) is the formula to find it.
A=1/2x192
A=96
Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure
Answer:
In triangle ABC, angle B is obtuse.
Step-by-step explanation:
The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.
what is the awnser pls help
Answer:
I think its B 216
Step-by-step explanation:
Because you multiply 12×9×2 and get 216 (I dont know if im right)
Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6
Answer:
I wanna say C. But I'm not exactly sure.
Step-by-step explanation:
I hope it's right :(
The quotient of a number increased by 9and 4 is -2 TRANSLATE DO NOT SOLVE please answer I really need this
Answer: From your questions it's stand like factors of that Number so it is one
3=1
5/9=1
4=1,2
Addition point
Quotient is the number remained after divident is divided by divisor
Step-by-step explanation:
Please give an answer this question is worth 20 points on my test
Find the equation for each line.
What’s the answer I need help!!
Answer:
150
Step-by-step explanation:
add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?
Answer:
1) The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Please find attached the required graph of the two inequalities ,created with Microsoft Excel
2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread
Step-by-step explanation:
1) The maximum number of loaves Larissa plans to make = 10
The price at which she sells each of x loaves of banana bread = $1.25
The price at which she sells each of y loaves of nut bread = $1.50
The total amount she hopes to make = $24
The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Making y the subject of both inequalities gives;
For the first inequality, we have,
y ≥ 24/1.5 - 1.25/1.5·x which gives;
y ≥ 16 - 5/6·x
For the second inequality, we have,
y ≤ 10 - x
Please find attached the required graph of the two inequalities
2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.
Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
snisisbshdgsbsjsiejbebdbxhhxdyud
Step-by-step explanation:
sorryrydhehsindebbdhddhdb
i need to find the points for a graph asap by finding the asymptote!!!
Answer:
y=0
Step-by-step explanation:
Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is
[tex]y=3^{x+2} \\\\We\ can\ rewrite\ it\ like\\\\\y=3^x.3^2\\y=9(3^x)[/tex]
so it doesn't have a +c which means the horizontal asymptote is y = c = 0
y = 0 is the horizontal asymptote
In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?
Answer:
72
Step-by-step explanation:
24 x 3 = 72 just like the problem.
Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?
Answer:
8
Step-by-step explanation:
50/5.95