Answer:
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7
Step-by-step explanation:
The given numbers are;
0, 1/3, 1/2, 3/5, and 2/3
The number sequence is formed adding [tex]\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }[/tex] to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;
For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;
The
[tex]0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}[/tex]
For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;
[tex]\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}[/tex]
For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;
[tex]\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}[/tex]
For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;
[tex]\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}[/tex]
For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;
[tex]\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}[/tex]
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.
How many solutions does the system of equations below have?
5
5
у
3
3
3
y = x
3
no solution
one solution
infinitely many solutions
A local appliance store advertised a “10% off sale” on ovens. Mrs. Jones found an oven she liked that cost $560 before the sale. What is the sale price of the oven?
a
$56.00
b
$504.00
c
$500.00
d
$616.00
pls help !!!!!! i need the answer for this pleasee <33
Answer:
slope- intercept form is
y=mx+b
m= slope
b= y-int
looking at the chart we can see that the graph goes up 11 and right 6
so we now have
y= 11/6x+b
we could also do
m=(y2-y1)/(x2-x1) using our points
m=(21-10)/(-3-(-9)
m=11/6
then we can use an x value and its corresponding y value from the equation to find b
I will use the points -9,10
10= 11/6(-9)+b
10=-16.5+b
+16.5 +16.5
26.5=b
so your full equation is:
y=11/6x + 26.5
Step-by-step explanation:
3075677532 yesyeysyeydsyeysys
Answer: What? What are you talking about?
A proportional relationship is linear.
True or False
Answer:
True
Step-by-step explanation:
Yes, A proportional relationship is linear.
HELP! i need this done in 20 min
Answer:
No because when you divide a whole number by a fraction you always get a quotient that is smaller than the whole number.
Step-by-step explanation:
Answer:
Idk They are right
Step-by-step explanation:
Look a person on top and Give them them Big B
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
#2 AND #4 PLEASE HELP!!
Answer and Step-by-step explanation:
For question number 2.
First, draw a triangle. Now label each angle with the letter N, O, and M.
M
/\
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/ \
/____________________________\
N O
Now, we see line NO. The angles that include line NO would be angle MNO and angle MON.
For question number 4:
We can see that there is a tick mark on side AC and side DF, meaning those two sides are congruent.
We then see that angle A is congruent to angle D, since there is that little curve mark, showing they are congruent.
Last, we see that they both triangles have 90 degree angles, shown with the square on the corner of the triangle..
Using the AAS Postulate (Angle Angle Side), we can say that triangle ABC is congruent to triangle DEF.
#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)
Assume y varies directly with x. If y = 80
when x = 8, find x when y = 40.
Answer:
4
Step-by-step explanation:
Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip
is 15%?
Pls help meh
Answer:
I'de say about 5.40$ would be a good 15% tip
Step-by-step explanation:
Answer:
5.40
Step-by-step explanation
Please help I need help please
Step-by-step explanation:
There are 84% out of 225. First find 10%. To do that divide the number by 10, so 225 ÷ 10 = 22.5 Next, do 22.5 x 8. Then you have 80%. Now, all that is need ed is the 4%. To get that, divide 225 by 100. Multiply the answer by 4 to get the 4%. Add the 80% and the 4% to get your answer. I really hope this helps. answers
Also, since I am just helping, I am un able to give you straight answers. I hope this also helps with work in the future.
The graph of the line y = 5x + 7 would cross what number on
the y-axis? How do you know?
Answer: 7
Step-by-step explanation: 7 is the y intercept in the slope intercept form. y=slopex+y-intercept
Help!!!! This is for math
what material often called a shooting stars as it enters the Earth’s atmosphere
9[15-(3+4)] I don’t know how to do this problem and Photomath can’t solve it either
Answer:
72
Step-by-step explanation:
9[15-(3+4)]
9[15-7]
9[8]
72
40 POINTS THERE IS MORE THAN 1 ANSWER BRAINLIEST IF CORRECT
Which of the following statements are true regarding the direction of a number? Select all that apply.
A.It is the absolute value of the number.
B.A negative direction is to the left of zero on a horizontal number line.
C.Numbers have no direction.
D.A positive direction is to the right of zero on a horizontal number line.
Answer:
Whole numbers are also integers. There are other integers which are the opposites of the whole numbers (−1, −2, −3, ...). These negative numbers lie to the left of 0 on the number line. Integers are the whole numbers and their opposites.
In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE.
B
E
А
С
D
mLABE =
Answer:
m∠ABE = 62°
Step-by-step explanation:
Since, the given quadrilateral is a kite, diagonals will intersect at 90°.
Therefore, m∠AEB = m∠CEB = 90°
m∠BAE = 28° [Given]
m∠BCE = 58° [Given]
From ΔABE,
m∠BAE + m∠BEA + m∠ABE = 180°
28° + 90° + m∠ABE = 180°
m∠ABE = 180° - 118°
= 62°
Therefore, measure of angle ABE = 62°.
I JUST NEED HELP PLZZ
AND THANK YOU
Answer:
43
Step-by-step explanation:
Based on the pattern of the scatter plot, 43 seems to be the better option.
Find the values of w, x and y.
Answer:
w= 27.47 degree
x=9.99 cm
y=12.02 cm
Step-by-step explanation:
The value of w:
In a right-angled triangle [tex]\tan \theta = \frac {\text{Perpendicular}}{\text{Base}}[/tex]
[tex]\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}[/tex]
So, [tex]34 \tan w = 9\tan (63)[/tex]
[tex]\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\[/tex]
w= 27.47 degree
The value of x:
In a right-angled triangle [tex]\sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}[/tex]
sin (27) =x/22
x= 22sin(27)
x=9.99 cm
The value of y:
By using Pythagoras theorem,
[tex]y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\[/tex]
y=12.02 cm
complete the table i’ll give brainliest
Answer:
1. 4
2. 11
3. 18
4. 25
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST!
Answer: Last Option (Red In Colour)
Reason: Since Point Slope Form is y -y1 = m(x-x1), We just plug in the numbers. Four will go into the x1 spot, and Zero will go into the y1 spot, and 1/2 in the m spot since it's the slope. So, after plugging everything in, the equation is y - 0 = 1/2 ( x- 4)
I hope this helps, and Happy Holidays! :)
The graph shows a system of equations:
Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2.
What is the solution to the system of equations?
(−2, 2)
(2, 2)
(2, −2)
(−2, −2)
Answer:
I'm putting C but I'm not sure ill let you know if its right after the test
Step-by-step explanation:
Answer:
Its A- (-2,2)
Because the solution is where the two lines collide and meet. :)
GUYS URGENT PLS HELP
V= πr^2h = cylinder volume equation
V=4 /3 πr^3 = volume of the shpere
use the equation and add them up
the quotient of y and 221 is equal to 21
Answer: the answer is 10.54 I think
Step-by-step explanation:
In a unit circle, ø = 270º. Identify the terminal point and sin ø.
A. Terminal point (0,-1); sin Ø=-1
B. Terminal point (0,-1); sin ø= 0
C. Terminal point (-1,0); sin Ø=-1
D. Terminal point (-1,0); sin Ø=ø
Using the trigonometric circle, it is found that the correct option regarding the terminal point and sin ø is given by:
A. Terminal point (0,-1); sin Ø=-1
What is the trigonometric circle?It is a circle of radius 1 that contains the following set of points:
[tex](x,y) = (\cos{(\phi)}, \sin{(\phi)})[/tex]
The sine of 270º is of -1, hence the cosine is 0, which means that the correct option is:
A. Terminal point (0,-1); sin Ø=-1
More can be learned about the trigonometric circle at https://brainly.com/question/24349828
The terminal point and sin ø are (0,-1) and sin Ø=-1.
What is the trigonometric circle?It is a circle of radius 1 unit.
The sine of 270º is of -1, hence the cosine is 0, which means that
Terminal point (0,-1); sin Ø=-1
Thus, the correct option is A.
Learn more about the trigonometric circle
https://brainly.com/question/24349828
#SPJ5
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how old is Samantha?
Answer:
Samantha's age = 27 years
Step-by-step explanation:
Let Jack's age be = xAs Samantha is one year less than twice her brother Jack’s age.
So Samantha's age = 2x-1As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
The cost, y y , for x x pounds of nails can be represented by the equation y=3.20x y = 3.20 x . What is the constant of proportionality of the equation?
Answer:
3.20
Step-by-step explanation:
If y is proportional to x as represented as;
y = 3.20x
This means that the relationship between y and x is a direct proportionality
y = kx
k is the constant of proportionality
Comparing with the given equation we will see that k = 3.20
Hence the constant of proportionality is 3.20
Two men are decorating a room. One has painted 20 m² and the
other only 6 m². They continue painting and manage to paint
another x m'each. If the first man has painted exactly three times
the area painted by the second man, find the value of x.
Answer:
1 m²Step-by-step explanation:
The first man painted:
x + 20The second man painted:
x + 6If the first man painted 3 times more, then:
x + 20 = 3(x + 6)x + 20 = 3x + 183x - x = 20 - 182x = 2x = 1helpppp ahhhhhhh plz
Answer:
It's Parallel
Step-by-step explanation:
Perpendicular have to intersect
An employee at a fast food restaurant noticed that 3 out of every 5 customers ordered onion rings and 2 out of every 5 customers ordered fries. By the end of the employee's shift, she had taken 585 orders. Out of 585 orders, how many were onion rings? Out of 585 orders, how many were fries?
Answer:
Onion rings ⇒ 351 ordersFries ⇒ 234 ordersStep-by-step explanation:
Onion Rings.
3 out of every 5 ordered onion rings and she took 585 orders.
Onion ring orders = 3/5 * 585
= 351 orders
Fries
2 out of every 5 ordered fries
Fries orders = 2/5 * 585
= 234 orders