Answers
Answer:
[tex]S_3=35[/tex]
Step-by-step explanation:
Given: [tex]S_1=3\,,S_n=7(S_{n-1}-2)[/tex]
To find: [tex]S_3[/tex]
Solution:
First find [tex]S_2[/tex]
Put [tex]n=2[/tex] in [tex]S_n=7(S_{n-1}-2)[/tex]
[tex]S_2=7(S_{2-1}-2)\\S_2=7(S_1-2)[/tex]
Put [tex]S_1=3[/tex]
[tex]S_2=7(3-2)=7[/tex]
Now find [tex]S_3[/tex]
Put [tex]n=3[/tex] in [tex]S_n=7(S_{n-1}-2)[/tex]
[tex]S_3=7(S_{3-1}-2)\\S_3=7(S_{2}-2)[/tex]
Put [tex]S_2=7[/tex]
[tex]S_3=7[(7)-2]=7(5)=35[/tex]
Related Questions
HELP PLEASE DUE IN 3 MINUTES
Answers
Answer:
I think it is 5.5
hopes this helps brainlesit
Step-by-step explanation:
Answer:
Step-by-step explanation:
add them all together and you get 50. divide 50 by 5 and you get 10.
PLS HELP BRO MY GRADE IS LITERALLY A D- IN MATH!
Answers
y=-2/12x-8
Simplify:
y=-1/6x-8
Slope intercept is really easy. m is the slope. All you have to do is find 2 points and use rise/run. Rise is how many up or downs (numerator). Run is left or right (denominator). We are given 2 points in the graph. So I counted, 2 down, 12 left. So 2/12. Now remember if the line is going down from left to right, it’s a negative slope. So -2/12. To find the y intercept, just find where the line meets at the y intercept, here it’s -8. So y=-2/12x-8. y=-1/6x-8
The line l is tangent to the circle with equation x^2 + y^2=10 at the point P.
Determine the equation of line l.
Answers
Given:
The equation of a circle is
[tex]x^2+y^2=10[/tex]
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
[tex]m_1=\dfrac{3-0}{1-0}[/tex]
[tex]m_1=\dfrac{3}{1}[/tex]
[tex]m=3[/tex]
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times 3=-1[/tex]
[tex]m=-\dfrac{1}{3}[/tex]
The slope of line l is [tex]-\dfrac{1}{3}[/tex] and it passs through the point P(1,3). So, the equation of line l is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=-\dfrac{1}{3}(x-1)[/tex]
[tex]y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}[/tex]
Adding 3 on both sides, we get
[tex]y=-\dfrac{1}{3}x+\dfrac{1}{3}+3[/tex]
[tex]y=-\dfrac{1}{3}x+\dfrac{1+9}{3}[/tex]
[tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex]
Therefore, the equation of line l is [tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex].
In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z. Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle. Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A? 5 StartRoot 3 EndRoot units 10 StartRoot 3 EndRoot units 15 units 20 units
Answers
Answer:
A 5 StartRoot 3 EndRoot units
Step-by-step explanation:
Answer:
5√3 units
Step-by-step explanation:
edgeee
Find the total surface area of this cuboid.
Answers
Step-by-step explanation:
I just learned this in class lol
Find the area of all the sides.
This cubiod has 6 sides.
6 x 5 = 30
6 x 5 = 30
4 x 5 = 20
4 x 5 = 20
6 x 4 = 24
6 x 4 = 24
30 + 30 + 20 + 20 + 24 + 24 = 148
Thefore, the surface area of this cuboid is 148.
Hope this helps! If it did, please mark it as brainliest! It would help a lot! Thanks! :D
Can someone help me with this one please ???
Answers
Answer:
heres some apps to help with stuff like wolframalpha.com, mathly
Step-by-step explanation:
9. Use the graph of each polynomial function to find the factored form of the related polynomial.
Assume the polynomial has no constant factor.
A.
What are the zeros of this function? (2 points)
what is the factorization of the polynomial
Answers
Answer:
A) the zeros are; x = -2 and x = 4
B) y = (x + 2)(x - 4)
Step-by-step explanation:
A) The zeros are the values of x where the graph curve crosses the x-axis.
Looking at the graph, the curve crosses the x-axis at x = -2 and x = 4
Thus, the zeros are; x = -2 and x = 4
B) Factorization of the polynomial means that we transform the zeros into the polynomial.
Thus, we have; y = (x + 2)(x - 4)
So when y is zero, x = - 2 or 4 as earlier derived.
What is the measure of arc DGF
Answers
Answer:
DGF=226
Step-by-step explanation:
Angle 113 is a inscribed angle since two it is on the exterior of the circle. We can find the central angle by multiply 2 by 113.
113×2=226
Since the central angle measure 226, that means the arc DGF measures 226 degrees.
DGF=113
Multiplying by which number is equivalent to an increase 49.5%
Answers
Answer:
22.46
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
49.5% = 49.5/100 = 49.5 ÷ 100 = 0.495.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 49.5% of its value.
Percentage increase = 49.5% × 22.46
New value = 22.46 + Percentage increase
Can 65536 be simplified to the 2nd power if so what is it?
Answers
Answer:
Yes; 256
Step-by-step explanation:
Take the square root of 65536
[tex]\sqrt{65536} = 256[/tex]
256 to the power of 2 = 65536
Answer:
Step-by-step explanation:
Jerry started doing sit-ups every day. The first day he did 17 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 73 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help lerry to find the number of dave hahachoon daina cancis aivor
Answers
Answer:
5
Step-by-step explanation:
y= 4x+17
73=4x+17 (subtract 17 by both sides)
20=4x (divide by both sides)
5= x, 5 days
Could anyone that has taken or is currently taking math 3 go look at my profile pls? I posted a question and got a fake answer. I'll give you brainliest pls help .-_.-
Answers
Answer:
I tried
Step-by-step explanation:
Simplify. 3x−6
Assume no denominator equals zero.
Answers
Step-by-step explanation:
3x-6 =0
3x= 6-0
3x =6
x=6/3
x=2
Please help me! Please don't get it wrong ;-;
Answers
Answer:
Its 40 degrees
Step-by-step explanation:
60+80=140
180-140=40 (a straight line is always 180 degrees)
Hope it helped
apply the distributive property to factor out the greatest common factor
9-12x+6y
Answers
If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3
If you decompose 6 you will get 2*3 so 6=2*3
What do all of these numbers have in common?The 3.
So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.
9/3=3
-12x/3=4x
6y/3=2y
So,this will be your answer 3(3-4x+2y)
HELP I NEED HELP WITH CIRCUMFERENCE!! What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.
A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm
Answers
Answer:
8cm
Step-by-step explanation:
circumference formula[tex]2\pi \: r[/tex]
50 = 2(3.14)(r)
50 = 6.28r
7.9 = r
8 = r
i need help with thissssss
Answers
Answer:
y=2x-14
y=x-2
The slopes are not the same
Step-by-step explanation:
L1 3y=3x-6
Divide everything by 3 to isolate the y
y=x-2
L2 5y-10x=-70
add -10x to isolate the y
5y=10x-70
Divide everything by 5 to isolate the y
y=2x-14
find the slope that passes between (-3, 2) and (-6, 5)
Answers
Answer:
m= -2/3
Step-by-step explanation:
m= 4-2/-6-(-3) = -2/3
What is 20% of 50 and what would 10% equal
Answers
Answer:
20/100 x 50 is 10
10% would be 10/100 is fraction form
I want to help you on the first thing you said,
so always consider a percent as a fraction but there denominator is ALWAYS 100 (a way to remember that is that the word "cent" means 100). The word "of" means multiplication so that means your multiplying it with 50 and just do the multiplication.
I'm really hoping you understand!
Given the function 4x + y =2 what are the x and y intercepts of this function
Answers
Answer:
x intercept: (1/2,0)
y intercept: (0,2)
Step-by-step explanation:
Plug y=0 into the function when you are solving for the y intercept, and plug x=0 into the function when you are solving for x intercept.
Jean deposits $730 in an account that pays 2.8% simple interest.
He neither adds more money nor withdraws any money from his account.
What is the total amount that will be in Jean's account after 5 years?
Answers
Answer:
125,635.6864
you have to do 2.8x730 5 times
Answer:
basically what you have to do, is multiply 2.8 by 730 5 times, because its five years
Step-by-step explanation:
jesse bought 2 sheets of stamps. on each sheet there are 5 rows of stamps with 6 stamps in each row. how much did he buy.
Answers
Answer:
he bought 60 stamps
Step-by-step explanation:
6*5=30
30*2=60
12
Given that
R
=
3
x
+
2
y
Find
x
when
y
=
7
and
R
=
8
x
=
Answers
Answer:
x=-2
Step-by-step explanation:
R=3x+2y
y=7, R=8
x=?
Substitute R and y with the values given
8=3x+2(7)
8=3x+14
Combine like terms
8-14=3x
-6=3x
x=-2
34 < 6 + d
Solve the inequality
Answers
Answer:
28< 6
Step-by-step explanation:
34 < 6 + d
Subtract 6 from each side
34-6 < 6 + d-6
28< 6
Answer:
28<d
Step-by-step explanation:
Since all you need to do is find d, to do this do the inverse operation of 6 which is -6 and add them to both sides which gives you 28<d
9-3X+1/3-2+10- -3/2=
Answers
Answer:
9-3x+1/3-2+10+3/2
17-3x+11/6
113/6-3x
Step-by-step explanation:
Store A sells a baseball glove for $80 and offers a 20% discount. Store B sells the same glove for $100 and offers a 40% discount. From which store should you buy?
Answers
80$. 100%
X$. 80%
X=80•80/100
X=$64
Store B
100$ 100%
X$. 60%
X=100•60/100
X=$60
You should buy from store B, it would safe you 4$.
whats 2+2 if you have 2 pencials A 4 B 4 C 4 D 8
Answers
Answer:
4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2+2=4
:)
PLS MARK ME THE BRAINLIEST I NEED 2 MORE TO GET TO EXPERT
Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?
Answers
Answer:
Cartesian plane
Step-by-step explanation:
(–1 , 3)
Answer:
-1 3
Step-by-step explanation:
find the perimeter of triangle whose sides are 5.2cm, 7.8 cm and 4cm.
Answers
Answer:
17 cm
SE SUMAN TODOS LOS LADOS
10 Jane is paid a wage of $7.80 per hour. If she works 12 hours at this rate during a week plus
4 hours on a public holiday in the week when she gets paid at time and half, her earnings in the week
are:
A $140.40
B$124.80
3
C$109.20
D $156
E $62.40
Answers
140.40$