Answers
Answer:
[tex]\sum {{n} \atop {1}} \right 6n+2n^2[/tex]
Step-by-step explanation:
Given the series 8 + 12 + 16 + 20+ ...
Sum of nth term Sn = n/2[2a+(n-1)d]
a is the first term = 8
d is the common difference = 12 - 8 = 16 - 12 = 4
Substitute
Sn = n/2[2(8)+(n-1)(4)]
Sn = n/2[16+4n-4]
Sn = n/2[12+4n]
Sn 2n/2[6+2n]
Sn = n(6+2n)
Sn = 6n + 2n²
Hence the sigma representation is expressed as;
[tex]\sum {{n} \atop {1}} \right 6n+2n^2[/tex]
Related Questions
Simplify (-4a^5b) (2a^2b)
Answers
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
pls help me with this maths equation
Answers
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answers
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answers
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
Can someone help me? It's urgent and thank you!
Answers
Answer:
11 in
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11= s
Answer:
The side of square is 11 m.
Step-by-step explanation:
To calculate the side of square .
Here, given area of square which is 121 inches².
Using Formula :-
Area of square = ( side )²where, side is the length of side of square.
Solution :-
Area of square = ( side )²
121 inches² = side²
Taking square root of both side
√121 inches² = √side²
11 inche = side
Hence, The side of square is 11 inche.
The volume of a cuboid is 462cm3. The length is 11cm and the width is 60mm. Work out the height of the cuboid
Answers
Answer:
step-by-step explanation: 1cm is equal to 10mm
The volume of a cuboid is length ×breadth×height
We start by converting 60 mm into cm which will be 6cm
Solution :
462cm3=11cm×6cm
462cm3/66=66cm/66
The final answer will be 7cm
Therefore the height is 7cm
Simplify 45÷2×8-12+42
Please show working
Answers
Answer:
210
Step-by-step explanation:
Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
45 ÷ 2 = 22.5
22.5 × 8 = 180
180 - 12 = 168
168 + 42 = 210
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Have a great summer :)
Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300
Answers
Answer:
B $1050
Step-by-step explanation:
Determine 30% of the price
1500 * 30%
1500 *.30
450
Subtract this from the price
1500-450
1050
Answer:
B $1050
Step-by-step explanation:
0.3 x 1500 = 1050
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Answers
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
An equilateral triangle has perimeter 30. What is the height of the triangle?
Answers
Answer:
An equilateral triangle with a perimeter = 30 has each side = 10.
The height of an equilateral triangle = side * sqr root (3) / 2 =
10 * 1.7320508076 / 2 = 17.320508076 / 2 = .866025...
http://www.1728.org/triang.htm
Step-by-step explanation:
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
Answers
Answer:
ok so we can turn both of these into equations
Bob: 112.96 divided by 138=0.81855072463
so about 82 cents per mile
Carl: 142.78 divided by 209=0.68315789473
so about 68 cents per mile
so ya i am a little confused but heres what i got
If its length is 4x - 3 meters and its width is 2x + 6meters , what is the actual width of the rectangle?
Answers
Answer:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
or simplified
p
=
12
x
−
9
Explanation:
By definition the perimeter of an object is the length of all its sides.
Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.
Therefore the equation for the perimeter of a rectangle can be written as:
p
=
2
⋅
l
+
2
⋅
w
where
p
is the perimeter,
l
is the length and
w
is the width.
Substituting what was given about the length and width gives the equation:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
Simplifying this equation gives:
p
=
8
x
+
3
+
4
x
−
12
p
=
8
x
+
4
x
+
3
−
12
p
=
12
x
−
9
Step-by-step explanation:
In base 2, what is the value of 1011₂ + 10111₂
Answers
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
Find the distance between the given points. Round to the nearest tenth.
Answers
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
(4/9)^-1=
A. -4/9
B. 9/4
C. -9/4
Answers
Answer: 9/4
Step-by-step explanation: Think of [tex](\frac{4}{9})^{-1}[/tex]as [tex]\frac{4^{-1} }{9^{-1}}[/tex].
Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and
we can change 9⁻¹ to 9¹ by moving it to the numerator.
So we have 9¹/4¹ which simplifies to 9/4.
hjoljjkllllllllllllllllllllllllllllllllllllllllllljkugjghjghjghj
Answers
What is the measure, in degrees of A?
Answers
Answer:
[tex] = \frac{1}{2} \times 134 \degree \\ = 67 \degree[/tex]
PLZ HELP I will give brainliest :)))
Answers
Answer:
The answer should be A.
Step-by-step explanation:
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answers
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
The roots of the equation 2x² – 5 = 0 are
1) imaginary
2) real, rational, and equal
3) real, rational, and unequal
4) real and irrational
Will give brainlest to the correct answer
Answers
Answer:
4
Step-by-step explanation:
x = root under 5/2
so it is real and irrational number
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answers
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
OASIIO - II - TWO WAY POWER CIENTIFIC CALCULATOR S-A.AKR 국 2401 . 0
Answers
Answer:
I can't understand !!!!!!!!!
Four friends raised a total of $730 for a local charity. Each friend raised the same amount of money. Model the total amount that the friends raised using the least number of base-ten blocks possible.
Answers
Answer:
Each friend raised $ 182.50.
Step-by-step explanation:
Given that four friends raised a total of $ 730 for a local charity, and each friend raised the same amount of money, for model the total amount that the friends raised the following calculation must be performed:
730/4 = X
182.5 = X
Therefore, each friend raised $ 182.50.
Solve the system of equations.
3x – 7y = 5
9y = 5x + 5
Answers
Hope this is helpful
Jacinta received a scholarship from the american meteorological society and was able to pay 43% of one year of her college with the scholarship money the remainder 11, 033.75 for the year was posted for with a student loan what was the total cost of 4 years
Answers
Answer:
$77429.824
Step-by-step explanation:
Let the total college cost for one year = x
43% of x was paid with scholarship fee
Percentage left = 100% - 43% = 57%
57% is equivalent to 11,033.75
57/100x= 11,033.75
0.57x = 11033.75
x = 11033.75 / 0.57
x =19357.456 ; this is Jacinta's college fee for a year ;
Hence
College fee for 4 years :
19357.456 * 4 = $77429.824
How do I find the value of y in y=mx+c
Answers
DOÑA JUANA TIENE CULTIVADO LO SIGUIENTE: 80 hm2 DE NARANJAS, 300 Dam2 DE MANDARINAS, 700000 dm2 DE LIMONES Y 8200000 cm2 DE TORONJAS. ¿CUANTAS HECTAREAS EN TOTAL TIENE CULTIVADAS?
Answers
Answer:
Doña Juana tiene 83,782 hectáreas cultivadas en total.
Step-by-step explanation:
Dado que Doña Juana tiene cultivadas 80 hectómetros cuadrados de naranjas, 300 decámetros cuadrados de mandarinas, 700000 decímetros cuadrados de limones y 8200000 centímetros cuadrados de toronjas, para determinar cuántas hectáreas en total tiene cultivadas se deben realizar los siguientes cálculos:
1 Hm2 = 1 hectárea x 80 = 80 hectáreas
1 Dam2 = 0.01 hectárea x 300 = 3 hectáreas
1 Dm2 = 0.000001 hectárea x 700000 = 0.7 hectáreas
1 Cm2 = 0.00000001 hectárea x 8200000 = 0.082 hectáreas
80 + 3 + 0.7 + 0.082 = X
83,782 = X
Por lo tanto, Doña Juana tiene 83,782 hectáreas cultivadas en total.
A dolphin is swimming 4 feet below the surface of the water. The number -4 represents the dolphin's position relative to the surface of the water. What position does the number 4 represent?
Answers
Answer:
4 represent how many feet from surface
Step-by-step explanation:
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answers
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
Min had some cards He gave half of the cards to Bill. Bill give 1/3 of those cards to Sam. Sam gave 2 cads back to Min and Kept 6. How many cards did Min have in the end?
Answers
Answer: 26 cards
Step-by-step explanation:
Suppose there are x cards initially
Min gave half to bill i.e. 0.5x
Bill gives one-third of those cards to Sam i.e. [tex]\frac{1}{3}\times 0.5x[/tex]
Sam gave 2 cards back to min and kept 6 i.e. Sam gets 8 cards from Bill
[tex]\Rightarrow 8=\dfrac{1}{3}\times 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48[/tex]
So, min has 0.5x+2 cards i.e.
[tex]\Rightarrow 0.5\times 48+2\\\Rightarrow 26\ \text{cards}[/tex]
