Answer:
which question can I help you
Find the nth term of the geometric sequence.
[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]
[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]
Answer:
aₙ = (6/19)*19ⁿ⁻¹Step-by-step explanation:
Given:
a₂ = 6a₄ = 2166Equation of nth term of GP:
aₙ = a₁rⁿ⁻¹Substitute for 2nd and 4th terms:
a₂ = a₁r = 6a₄ = a₁r³ = 2166Substitute the value of a₂ into a₄ and find the value of r:
a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19Find the first term:
a₁r = 6a₁*19 = 6a₁ = 6/19The equation of nth term is:
aₙ = (6/19)*19ⁿ⁻¹You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally
installed. Estimate the cost of having a 24 by 27 ft brick patio installed.
Answer: 4914
Step-by-step explanation:
multiply 15 and 20 to make 300
multiply 24 and 27 to make 648
set up proportion
[tex]\frac{300}{648}[/tex] × [tex]\frac{2275}{x}[/tex]
cross multiply
300x = 648(2275)
300x = 1474200
x = 4914
If the length of the rectangle is thrice its breadth and breadth is 7 cm. find the perimeter...
Step-by-step explanation:
breath=7
lenghth=3(7)
=21
perimeter of rect=2(l+b)
=2(21+7)
=56
Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
I need help with this :///
9514 1404 393
Answer:
f(x) = -3/2x +5
Step-by-step explanation:
The differences between the x-values are all 2.
The differences between the y-values are all -3.
When the ratios of the differences are constant, the function is linear. The slope is ...
m = Δy/Δx = -3/2
The y-intercept is given by the table value where x=0: b=5.
Then the slope-intercept equation is ...
f(x) = mx +b
f(x) = -3/2x +5
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Answer:
174 cm
Step-by-step explanation:
1.83 m to cm is 183.
So, 183 cm - 9 cm = 174cm
Hope you understand ^^
Answer:
174 cm
Step-by-step explanation:
1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm
The radius of a circle is 5 ft. Find its circumference in terms of pi
Answer:
10 pi
Step-by-step explanation:
circumference of the circle equals = 2π R = 2*pi* radius
so circumference = 2*5*π = 10π = 10 pi (in terms of pi)
The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.
Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:
C = 2πr
C = 2π(5)
C = 10π
Therefore, the circumference of the circle is 10π inches.
I need help with b .
Answer:
Finding a common denominator is the same as finding a common multiple. You can multiply the denominators by each other, or list out the multiples of each denominator. Multiplying by others' unique factors gives the least common denominator.
What is the slope and y intercept form of -5x + 3y =-9.
What is the slope and y intercept form of -x +2y =-20
fast help.
Answer:
y = 5/3x - 3 and y = 1/2x - 10
Step-by-step explanation:
A. -5x + 3y = -9
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding 5x to both sides:
3y = -9 + 5x
Next, we divide both sides by 3:
y = (-9 + 5x)/3
And then distribute:
y = -9/3 + 5x/3
And finally simplify:
[tex]y = -3 + \frac{5}{3}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{5}{3}x-3[/tex]
B. -x + 2y = -20
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding x to both sides:
2y = -20 + x
Next, we divide both sides by 2:
y = (-20 + x)/2
And then distribute:
y = -20/2 + x/2
And finally simplify:
[tex]y = -10 + \frac{1}{2}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{1}{2}x - 10[/tex]
please help me solve this problem
Hi I need help pls
50 points
Answer:
in the first box i do believe it would be 55 and in the second box it would be 45,
Step-by-step explanation:
someone help me with these 2 questions asap!!
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035
Answer:
C 835Which of the following is equal to the expression below
Help ASAP PLEASSEEEEE for 30 points
First picture:
5). 343
Second Picture:
1). 89
2). -26
3). 20
4). 62
Third Picture:
Equation 1: Associative
Equation 2: Commutative
Equation 3: Associative
Equation 4: Distributive
Equation 5: Commutative
Equation 6: Associative
Last Picture:
1). B).
2). C).
Please mark Brainleist
What would be the next number in this series? 135 45 180 60 240 80
Answer:
135/45 =3
180=45 multiple by 4
180/60=3
240=60 multiple by 4
It is divide.by 3 and multiply by 4
hence =80 multiply 4= 320
Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?
Answer: 8 Quarters, 20 Dimes
Quarters:
Current/ 13
13x25= 3.25
Dimes:
Current/ 5
5x10= 50 …. 50 cents
Current price: $3.75
Need $4.00
What you need:
Quarters: +8
4 = 100 x2 is 200 …. $2.00
Dimes: + 20
10 = 100 x2 is 200 … $2.00
The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3
Answer:
B) 7/10 and 4/5
Step-by-step explanation:
Answer:
B) 7/10 and 4/5.
Step-by-step explanation:
Convert the values to decimals
7/9 = 0.7777...
A) = 0.6 and 0.75 - NO.
B) = 0.7 and 0.8 - YES.
i need help on this math problem
Answer:
I cant Really type the thing out, i posted a screen shot
Step-by-step explanation:
100 POINTS!
A local theater has a maximum capacity of 1000 people. For their latest production, adult tickets cost $25 and youth tickets cost $12.5. The theater needs to make at least 15,000 for the show to continue.
Write and graph a system of linear equations, and write two possible solutions.
Answer:
a+y≤1000 and 25a+12.50y>15000
Step-by-step explanation:
Quotient of 0 and 15
Answer:
15Step-by-step explanation:
cause the first number is zero so the answer is 15 #happy learningPlease hurry will mark brainliest if you answer correctly
Answer:
24.3
Step-by-step explanation:
Answer:
The answer would be 24.3
7) (Extra Credit) A chemist needs to mix a 12 % solution with a 20% solution to obtain 180 ounces of a 15% solution. How many ounces of each of the solutions must be used? 12%________ 20%__________
Answer:
Step-by-step explanation:
Let x be the amount of 12%
Let y be the amount of 20%
x + y = 180
x = 180 - y
x(0.12) + y(0.20) = 180(0.15)
(180 - y)(0.12) + y(0.20) = 27
(180)(0.12) - 0.12y + 0.20y = 27
21.6 + 0.08y = 27
0.08y = 5.4
y = 67.5 oz of 20% solution
x = 180 - 67.5 = 112.5 oz of 12% solution
Please hurry, will mark brainliest if you answer correctly
Answer:
10
Step-by-step explanation:
according to BODMAS
6÷2=3
3+3=6
4^2=16
16-6=10
The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions
Answer:
Length(L) is 55
Width(W) is 20
Step-by-step explanation:
need help with identiifying slope thing i sent
Answer:
The slope is -5 and the y intercept is (0,4)
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x+4
The slope is -5 and the y intercept is (0,4)
S5 when sn = 19 − 3n
Answer:
[tex]s(5)=4[/tex]
Step-by-step explanation:
I assume you mean this:
[tex]s(n)=19-3n[/tex]
Plug 5 in for n and solve:
[tex]s(5)=19-3(5)\\s(5)=19-15\\s(5)=4[/tex]
Can someone help me with this question? please
Can someone please help me I will mark u brilliant
Answer:
the whole number 5 goes to the left of the decimal
Step-by-step explanation:
so think about it this way...
I have 10 dots .......... that is 1.0 but if I only have 5 of the 10 I have 0.5. if you have anymore questions just ask and ill help
3x + 4 = 16 what is x?
Answer:
x = 4Step-by-step explanation:
3x + 4 = 163x = 16 - 43x = 12x = 12/3x = 4what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.
Answer:
x^4 + 8x^2 + 8x^3 - 32x - 48
Step-by-step explanation:
You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2
There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48
Answer:
x^4 + 8 x^3 + 8 x^2 - 32 x - 48
Hope This Helps!!!