Answer:
See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160
Answer:
Step-by-step explanation:
First, i divide all terms by 4
sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)
[tex]u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )[/tex]
[tex]\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }[/tex]
Help please ! Thank you!
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Consider the three triangular pyramids.
Pyramid 1
Pyramid 2
Pyramid 3
Triangular pyramid 1. The base has a base of 12 meters and height of 2 meters. The height of the pyramid is 10 meters.
Triangular pyramid 2. The base has a base of 6 meters and height of 4 meters. The height of the pyramid is 10 meters.
Triangular pyramid 3. The base has a base of 12 meters and height of 4 meters. The height of the pyramid is 5 meters.
Which statement about their volumes is true? (Recall the formula V = one-third B h.)
O All three pyramids have the same volume.
O All three pyramids have different volumes.
O Only pyramids 1 and 2 have the same volume.
O Only pyramids 1 and 3 have the same volume.
9514 1404 393
Answer:
(a) All three pyramids have the same volume
Step-by-step explanation:
The triangular base has an area of ...
B = 1/2bh . . . . where b is the base of the triangle and h is its height.
The volume of the pyramid is ...
V = 1/3BH . . . . where B is the area of the base, and H is the height of the pyramid.
Combining these equations gives ...
V = 1/3(1/2bh)H = 1/6bhH
__
Pyramid 1 volume
V1 = 1/6(12 m)(2 m)(10 m) = 40 m³
Pyramid 2 volume
V2 = 1/6(6 m)(4 m)(10 m) = 40 m³
Pyramid 3 volume
V3 = 1/6(12 m)(4 m)(5 m) = 40 m³
All three pyramids have the same volume.
for which values of X will the rational expressions below the undefined?
Answer:
x≠-7
Step-by-step explanation:
The function will be undefined when the denominator is zero
x+7≠ 0
x≠-7
help please i’ve been in here for hours looking for answers
Answer: Second row
The y intercept is 2
=============================================================
Explanation:
The y intercept always occurs when x = 0. Visually, the y intercept is the location where the graph crosses the y axis.
In the table, we see that x = 0 pairs up with y = f(x) = 2 in the second row. So we can say that the y intercept is 2.
Side note: the x intercept is 1 since it occurs when y = 0.
Please help solve 1, and 2
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]
[tex]ZT=15[/tex]
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]
= [tex]\frac{1}{2}(110^{\circ})[/tex]
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°
The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?
Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it
Incomplete question
Let the area be = 100 square meter
Cost of plaster = Rs 315 per square meter
No of walls = 4
Total area = 400 square meter
Then cost = 400 × 315
= Rs 1,26,000
Answered by Gauthmath must click thanks and mark brainliest
Find the value of both variables.
[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]
I hope I helped you ^_^
The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.
Answer:
7000
Step-by-step explanation:
70/100 * marked price = original price - 100
marked price = 140/100* og price
70/100 * 140/100 * og price = original price - 100
49/50 * og price = orignal price - 100
1/50 of original price = 100
orignal price = 5000
marked price = 140/100 * 5000 = 7000
Judd bought a pack of pencils and sold it for 10% profit. Write an expression for the selling price.
selling price: 1,1x
since x 10% more than the full value (100%)
so, 110/100 . x = 1,1x
The expression which represents the selling price of the pen is
y = 1.1x or [tex]selling\ price = 1.1\ cost\ price[/tex].
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
What is profit?A profit occurs when you sell something. for more than it cost.
Let x represents the cost price of the pens and y represents the selling price.
According to the question.
Judd sell the pens for 10% profit.
Now,
Profit = 10% of cost price
[tex]\implies profit = \frac{10}{100} \times x \\\implies Profit = 0.1x[/tex]
Therefore, the expression for the selling price of the pen is given by
[tex]y = cost\ price\ of\ pens + profit\\\implies y = x + 0.1x \\\implies y = 1.1x[/tex]
Hence, the expression which represents the selling price of the pen is
y = 1.1x or [tex]selling\ price = 1.1\ cost\ price[/tex].
Find out more information about expression and profit here:
https://brainly.com/question/3927668
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Make an Inequality! Twice the difference of a number and 7 is less than -30. Use c as the variable.
Answer:
7 - 2c < - 30
*To do this equation you would have to start with -30, because of "less than"
Hope this helps.
PLEASE HELP ME I DONT UNDERSTAND
Answer:
no
Step-by-step explanation:
the square root of 2 is not rational
Help plz ffggggggggggggggggggggggggggggg
Answer:
< EFG
< GFE
Step-by-step explanation:
The letter for the vertex must be in the middle
< EFG
< GFE
<F
write in mapping notation
Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x
Answer: [tex]x\in [53,\infty)[/tex]
Step-by-step explanation:
Given
Ade doubles her number and subtract 5 from it. The result cannot be less than 100
Suppose the number is [tex]x[/tex]
According to the question
[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]
Find the value of m.
A. 7
B. 2
C. 42
D. 14
Answer:
A. 7
Step-by-step explanation:
3m + 21 = 6m
Move variables to one side to get:
3m + 21 = 6m
-3m -3m
21 = 3m
Then isolate variable by dividing by 3
21/3 = 3m/3
m = 7
Choice A is the correct answer
4 of 4
5 positive integers are arranged in ascending order, as follows:
3, 4, 8, 12, X
The mean and the median are equal.
Find X.
x
Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.
Answer:
=22tcm
Step-by-step explanation:
Perimeter of a circle =πD
But π=t
hence perimeter; = 22tcm
where t=π
Two numbers are respectively 40% and 60% more than a third number. The ratio of the two numbers is:
Answer:
7:8
Step-by-step explanation:
SOMEONEEEE HELPPP MEEEE OUTTTT!!!!
Answer:
24°
Step-by-step explanation:
cos ? = 41/45
? = arccos 41/45
? = 24
Answered by GAUTHMATH
What is the value of q?
P= 3in
a) find the length of each side of the square
b) find the area of the square
Step-by-step explanation:
what does P mean ?
I assume it is perimeter ?
what is the perimeter of a square ?
come on, there is practically nothing in math that is easier to solve.
a square has 4 equal sides.
so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).
so, when I get the perimeter number, I know this is the result of all 4 sides added together.
and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.
therefore
P = 4 × side length
and from there we can immediately deduct
side length = P / 4 = 3/4 in
now we know how long the sides of the square are.
what is the area of the square ?
like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².
therefore, the area is
3/4 × 3/4 = (3/4)² = 9/16 in²
this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²
Find the volume of this cylinder please. ASAP
Answer:
125.66
Step-by-step explanation:
if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0
Work Shown:
(p+2q)/p = 7/5
(p/p)+(2q/p) = 7/5
1 + 2(q/p) = 7/5
2(q/p) = 7/5 - 1
2(q/p) = 7/5 - 5/5
2(q/p) = (7-5)/5
2(q/p) = 2/5
q/p = (2/5)*(1/2)
q/p = (2*1)/(5*2)
q/p = 1/5
Answer:
q/p = 1/5
Step-by-step explanation:
(p+2q)/p = 7/5
Multiply each side by p
(p+2q)/p *p = 7/5*p
(p+2q) = 7p/5
Multiply each side by 5
(p+2q)*5 = 7p/5 *5
5p + 10q = 7p
Subtract 5p from each side
5p + 10q -5p = 7p -5p
10 q = 2p
divide each side by p
10q/p = 2p/p
10 q/p = 2
Divide each side by 10
q/p = 2/10
q/p = 1/5
If the squad root of 16 = x, then 2x =
Step-by-step explanation:
Mark me as the brainliest
The tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.
What is the solution to this system?
Answer:
how?
Step-by-step explanation:
i didnt get this question
Answer:
(8,-22)
Step-by-step explanation:
I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did
The coordinates of the vertices of EFG are E(−4, 5), f (-1, 1), and G (3, 4), determine whether efg is a right tringle
PLEASE HELP ME! WHAT IS THE ANSWER TO THIS QUESTION? GIVE A STEP BY STEP EXPLANATION!
Step-by-step explanation:
-6(4v) + -6(9) = 42
-24v - 54 = 42
-24v = 42 + 54
-24v = 96
-v = 96/24
-v = 4
v = -4
Answer:
I think it's -33\24 V
Step-by-step explanation:
bc the equation is -6(4v+9)=42
so you would multiply -6 and 4 to get -24V +9=42
so then you would subtract 9 from both sides to cancel out the 9 and get 33
then take 33 over -24 but that isn't able to be devided so it would stay a fraction
can you just fill in the chart
question on the image.
For the missing Y, replace x in the given equations and solve for y.
y = 2(-1) -1 = -2-1 = -3
y = 2(2)-1 = 4-1 = 3
The missing y values are -3 and 3
What is the linear function equation represented by the graph?
Enter your answer in the box.
Picture below
