∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.
What is Series?A series is the cumulative sum of a given sequence of terms.
The given expression is 13 + 9 + 5 + 1
The terms of this series are 13,9,5,1
It is an AP. Here, first term is 13 and common ratio is -4.
The nth term of an AP is
aₙ=a+(n-1)d
=13+(n-1)(-4)
=13-4n+4
=17-4n
The summation formula of an Arithmetic progression is
∑aₙ
The value of n is 4 because the number of term is 4. So, the summation formula is
∑(17-4n)
Hence ∑(17-4n) is the summation formula represents the series
13 + 9 + 5 + 1.
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Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!
Help me with this hw please
Answer:
12 = 3 + p
Step-by-step explanation:
She has a total of 12 pencils
3 of them are red
The rest are "p"
p + 3 must equal 12 because she has a total of 12 pencils consisting of 3 red and "p" as the rest
Which choice is equivalent to the expression shown?
2(x+4)6 + 13
Question options:
A. x3+33
B. 2x9+59
C. 2x9+99
D. x3+53
Answer:
b
Step-by-step explanation:
please help me I need itttttttttt!!!!!!!!!
Answer:
x=115°
y=65°
Hope it helped<3
x = 115° [corresponding angles]
y = 180° - x = 180° - 115° = 65° [linear pair]
Which expression is equivalent to 5x+10y-15
5(x-2y-3)
5(x+2y-10)
5(x+2y-3)
5(x+2y-15)
please help me ill give you the crown thing if its right
Answer:
C 22cm I really hope this helps and is right! Sorry if its wrong
Step-by-step explanation:
:)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The diameter is the length of all the way across the circle. The radius is half of that.
the first circle
radius=17cm
diameter =17×2=34cm
second circle
radius=25mm
diameter =50mm
hopefully that helped
Is x + 15 = 7 true when x = 12?
_________________________
Answer:
no not even if its supposed to be a negative
Step-by-step explanation:
Help me with this question, please!
Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
heyy! i’ll give brainliest please help
Answer:
Step-by-step explanation:
Always capitalize the names of the seasons
Answer:
Pretty sure you don't capitalize seasons. I guess you can capitalize it when it's the first word of a sentence or part of a proper noun.
help plz
what's [tex]\sqrt{8*8}[/tex]
Thx!!
Answer:
8
Step-by-step explanation:
[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]
[tex]\sqrt{64}[/tex] = 8
Hope this helps!
Answer:
Solution given:
[tex]\sqrt{8*8}[/tex]
[tex]\sqrt{8²}[/tex]
[tex]\large \bold{8}[/tex]
A circle has a radius of 1.5 meters.
Find its circumference and area.
help bestiess :)
Answer:
C=9.42
Step-by-step explanation:
Formulas: C=2πr or C=πd
Were gonna use C=2πr
"r"stands for radius from the problem we know that the radius is 1.5 .
Now we substitute the "r" for 1.5, it looks like this C=2π1.5 .
Now we multiply 2x1.5=3 . Now you are left with C=3π
Now you need to multiply 3xπ (Instead of π use 3.14) it would look like this 3x3.14= 9.42
if a and b are roots of 3x2-6+2=0then find a+b
Answer:
a + b = 2
Step-by-step explanation:
Given
ax² + bx + c = 0 ( equation in standard form )
Then the sum of the roots = - [tex]\frac{b}{a}[/tex]
3x² - 6x + 2 = 0 ← is in standard form
with a = 3, b = - 6 , then
sum of roots = - [tex]\frac{-6}{3}[/tex] = 2
Answer:
[tex]I \ think \ it \ is \ 6x\\\\3x^2 - 6x +2 = 0\\\\[/tex]
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a} \\\\a = 3, b = -6, c = 2\\\\x = \frac{-b + \sqrt{b^2 - 4*a*c} }{2a}, x = \frac{-b - \sqrt{b^2 - 4*a*c} }{2a} \\\\ \\\\x = \frac{6 + \sqrt{36 - 24} }{6} , x = \frac{6-\sqrt{36 -24} }{6} \\\\[/tex]
[tex]x = \frac{6+\sqrt{12} }{6} , x = \frac{6-\sqrt{12} }{6} \\\\x = \frac{3+\sqrt{3} }{3} , x = \frac{3-\sqrt{3} }{3}[/tex]
[tex]Let \ a = \frac{3 + \sqrt{3} }{3} , b = \frac{3-\sqrt{3} }{3} \\\\a + b = \frac{3+\sqrt{3} }{3} + \frac{3-\sqrt{3} }{3} = \frac{3+\sqrt{3} +3-\sqrt{3} }{3} = \frac{6}{3} = 2[/tex]
Esmeralda Hasn't backed it in the shape of the screw is side of the magnet to 3 inches on what is the perimeter of her magnet
Answer:
12 INCHES
Step-by-step explanation:
Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
perimeter of a square = 4 x length
4 x 3 = 12 inches
If you flip a coin 30 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
15 times i think
Step-by-step explanation:
The menu at the 51's baseball game has 8 flavors of drinks, 4 types of french fries, and 3 types of hamburgers. How many different ways could you purchase a drink, fries, and hamburger? (Combination)
Answer:96
Step-by-step explanation:
It's super easy you just multiply 8x4x3=96
and that gives you the answer
danayia has some candy ms.miller gaver her 5 pieces of candy in addition to what she already had. ms.naltner doubled the amount of candy she had. danayia then had 20 pieces of candy.how much candy did danayia start with?
please help i need it real quick and i don't understand it
Answer:
3m × 4m:
Yellow flower: 12
Bush: 6
Total: 18
3m × 5m:
Yellow flower: 15
Bush: 8
Total: 23
Step-by-step explanation:
I need the answer ASAP
Step-by-step explanation:
the correct answer is A
15 x 35
Answer:
A
Step-by-step explanation:
let width be w , then length l = w + 20
perimeter = 2w + 2l
= 2w + 2(w + 20) , so
2w + 2w + 40 = 100
4w + 40 = 100 ( subtract 40 from both sides )
4w = 60 ( divide both sides by 4 )
w = 15 and l = 15 + 20 = 35
Dimensions are 15 ft by 35 ft → A
10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.
Answer:
11.7 ft
Step-by-step explanation:
Remember the notation SOHCAHTOA
We would be using tan because we have been given the adjacent and we are to determine the opposite value
tan 40 = opposite / adjacent
0.8391 = opposite / 8
opposite = 0.8391 x 8
6.7
Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please find attached a diagram explaining this question
Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3
Answer:
Option (1)
Step-by-step explanation:
Given expression is,
[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]
Let the given expression is equal to y.
[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]
By applying logarithmic rule,
[tex](\frac{w^2}{w^6} )=w^y[/tex]
[tex]w^2\times w^{-6}=w^y[/tex]
[tex]w^{2-6}=w^y[/tex]
[tex]w^{-4}=w^y[/tex]
[tex]y=-4[/tex]
Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].
Option (1) will be the correct option.
12+[ 9 4/5 - ( 1.5 + 2 2/10)]
Someone please help me?
Answer:
18.1
The thing You NEEDED to do
Simplify or Evaluate Your AnswerHelp, I dont get it, Like how do I do the division?
Answer:
Step-by-step explanation:
you actually dont have to do any division in this problem. since you know the area of the square and its depth, you simply multiply to two fractions, so [tex]\frac{25}{4} *\frac{8}{5}[/tex] when you multiply fractions all you do is multiply the tops and and bottoms, so 25 * 8=200 and 5 * 4=20, so the fraction is now 200/20, so when divide both sides by 20, the answer is 10. another way to demonstrate this in case you didnt understand is that you can rewrite your equation as [tex]\frac{25 * 8}{4 * 5}[/tex] then all you have to do is perform the opperation.
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
HELP
In complete sentences, explain why correlation does not prove causation. Please have at least 3 complete sentences with proper punctuation, grammar, and capitalization.
Answer:
Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption
What is the slope of these two points (5,-11) and (25,9)?
Answer:
[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]
The dial on an old telephone is a plastic ring 8cm in diameter with a4cm diameter hole in the center. Ten small dialing holes each of diameter 1.2cm are cut out of the ring
Answer:
Area of remaining plastic = 36.55 cm² (Approx.)
Step-by-step explanation:
Given:
Diameter of plastic dial of telephone = 8 cm
Diameter of middle hole = 4 cm
Diameter of ten small holes = 1.2 cm
Find:
Area of remaining plastic
Computation;
Radius of plastic dial of telephone = 8/2 = 4 cm
Radius of middle hole = 4/2 = 2 cm
Radius of ten small holes = 1.2/2 = 0.6 cm
Area of remaining plastic = Area of plastic dial - Area of middle hole - 10[Area of small holes]
Area of remaining plastic = π(4)² - π(2)² - π(0.6)²
Area of remaining plastic = π(16) - π(4) - π(0.36)
Area of remaining plastic = π[16 - 4 - 0.36]
Area of remaining plastic = π[11.64]
Area of remaining plastic = (3.14)(11.64)
Area of remaining plastic = 36.5496
Area of remaining plastic = 36.55 cm² (Approx.)
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Answer:
22.5
Step-by-step explanation:
y=kx
20=k15
k=1•33
30=1•33x
x=22•5
1. How can you find answers to the statistical questions?
2. How about answers to non-statistical questions?
1 The solution involves four steps.
Make sure the sample size is big enough to model differences with a normal population. ...
Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.
Find the standard deviation of the difference. ...
Find the probability.
Just help, my brain shutdown and its currently 9:51, so help me asap. <3
(05.05) Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared
Answer:
B hope this helps!
Step-by-step explanation:
Trust <3
Answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
Shows the termination of the parking lot of Helen healings health food store parking lot is how many square yards
Answer:
1100 yd²
Step-by-step explanation:
The parking lot can be divided into 2 rectangles :
Area of a rectangle = Length * Width
First rectangle :
Dimension = 40 yards by 20 yards
Area = 40 * 20 = 800 yd²
Rectangule 2 :
30 yards by 10 yards
Area = 30 * 20
Area = 30 * 10 = 300 yd²
Total area of parking lot :
800 + 300 yd²
= 1100 yd²